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{
    "count": 1569929,
    "next": "https://paperswithcode.com/api/v1/papers/?page=2",
    "previous": null,
    "results": [
        {
            "id": "007-democratically-finding-the-cause-of",
            "arxiv_id": "1802.07222",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1802.07222v1",
            "url_pdf": "http://arxiv.org/pdf/1802.07222v1.pdf",
            "title": "007: Democratically Finding The Cause of Packet Drops",
            "abstract": "Network failures continue to plague datacenter operators as their symptoms\nmay not have direct correlation with where or why they occur. We introduce 007,\na lightweight, always-on diagnosis application that can find problematic links\nand also pinpoint problems for each TCP connection. 007 is completely contained\nwithin the end host. During its two month deployment in a tier-1 datacenter, it\ndetected every problem found by previously deployed monitoring tools while also\nfinding the sources of other problems previously undetected.",
            "authors": [],
            "published": "2018-02-20",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-08-ff-0-72-na-dark-current-91-quantum",
            "arxiv_id": "2401.03527",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2401.03527v1",
            "url_pdf": "https://arxiv.org/pdf/2401.03527v1.pdf",
            "title": "0.08 fF, 0.72 nA dark current, 91% Quantum Efficiency, 38 Gb/s Nano-photodetector on a 45 nm CMOS Silicon-Photonic Platform",
            "abstract": "We demonstrated a Germanium-on-Silicon photodetector utilizing an asymmetric-Fabry-Perot resonator with 0.08 fF capacitance. The measurements at 1315.5 nm show 0.72 nA (3.40 nA) dark current, 0.93 A/W (0.96 A/W) responsivity, 36 Gb/s (38 Gb/s) operation at -1V (-2V) bias.",
            "authors": [],
            "published": "2024-01-07",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-1-constrained-optimization-solving-sample",
            "arxiv_id": "2210.11889",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2210.11889v4",
            "url_pdf": "https://arxiv.org/pdf/2210.11889v4.pdf",
            "title": "0/1 Constrained Optimization Solving Sample Average Approximation for Chance Constrained Programming",
            "abstract": "Sample average approximation (SAA) is a tractable approach for dealing with chance constrained programming, a challenging stochastic optimization problem. The constraint of SAA is characterized by the $0/1$ loss function which results in considerable complexities in devising numerical algorithms. Most existing methods have been devised based on reformulations of SAA, such as binary integer programming or relaxed problems. However, the development of viable methods to directly tackle SAA remains elusive, let alone providing theoretical guarantees. In this paper, we investigate a general $0/1$ constrained optimization, providing a new way to address SAA rather than its reformulations. Specifically, starting with deriving the Bouligand tangent and Fr$\\acute{e}$chet normal cones of the $0/1$ constraint, we establish several optimality conditions. One of them can be equivalently expressed by a system of equations, enabling the development of a semismooth Newton-type algorithm. The algorithm demonstrates a locally superlinear or quadratic convergence rate under standard assumptions, along with nice numerical performance compared to several leading solvers.",
            "authors": [],
            "published": "2022-10-21",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-1-deep-neural-networks-via-block-coordinate",
            "arxiv_id": "2206.09379",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2206.09379v2",
            "url_pdf": "https://arxiv.org/pdf/2206.09379v2.pdf",
            "title": "0/1 Deep Neural Networks via Block Coordinate Descent",
            "abstract": "The step function is one of the simplest and most natural activation functions for deep neural networks (DNNs). As it counts 1 for positive variables and 0 for others, its intrinsic characteristics (e.g., discontinuity and no viable information of subgradients) impede its development for several decades. Even if there is an impressive body of work on designing DNNs with continuous activation functions that can be deemed as surrogates of the step function, it is still in the possession of some advantageous properties, such as complete robustness to outliers and being capable of attaining the best learning-theoretic guarantee of predictive accuracy. Hence, in this paper, we aim to train DNNs with the step function used as an activation function (dubbed as 0/1 DNNs). We first reformulate 0/1 DNNs as an unconstrained optimization problem and then solve it by a block coordinate descend (BCD) method. Moreover, we acquire closed-form solutions for sub-problems of BCD as well as its convergence properties. Furthermore, we also integrate $\\ell_{2,0}$-regularization into 0/1 DNN to accelerate the training process and compress the network scale. As a result, the proposed algorithm has a high performance on classifying MNIST and Fashion-MNIST datasets. As a result, the proposed algorithm has a desirable performance on classifying MNIST, FashionMNIST, Cifar10, and Cifar100 datasets.",
            "authors": [
                "Naihua Xiu",
                "Geoffrey Ye Li",
                "Shenglong Zhou",
                "HUI ZHANG"
            ],
            "published": "2022-06-19",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-1-knapsack-in-nearly-quadratic-time",
            "arxiv_id": "2308.04093",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2308.04093v2",
            "url_pdf": "https://arxiv.org/pdf/2308.04093v2.pdf",
            "title": "0-1 Knapsack in Nearly Quadratic Time",
            "abstract": "We study pseudo-polynomial time algorithms for the fundamental \\emph{0-1 Knapsack} problem. Recent research interest has focused on its fine-grained complexity with respect to the number of items $n$ and the \\emph{maximum item weight} $w_{\\max}$. Under $(\\min,+)$-convolution hypothesis, 0-1 Knapsack does not have $O((n+w_{\\max})^{2-\\delta})$ time algorithms (Cygan-Mucha-W\\k{e}grzycki-W\\l{}odarczyk 2017 and K\\\"{u}nnemann-Paturi-Schneider 2017). On the upper bound side, currently the fastest algorithm runs in $\\tilde O(n + w_{\\max}^{12/5})$ time (Chen, Lian, Mao, and Zhang 2023), improving the earlier $O(n + w_{\\max}^3)$-time algorithm by Polak, Rohwedder, and W\\k{e}grzycki (2021). In this paper, we close this gap between the upper bound and the conditional lower bound (up to subpolynomial factors): - The 0-1 Knapsack problem has a deterministic algorithm in $O(n + w_{\\max}^{2}\\log^4w_{\\max})$ time. Our algorithm combines and extends several recent structural results and algorithmic techniques from the literature on knapsack-type problems: - We generalize the \"fine-grained proximity\" technique of Chen, Lian, Mao, and Zhang (2023) derived from the additive-combinatorial results of Bringmann and Wellnitz (2021) on dense subset sums. This allows us to bound the support size of the useful partial solutions in the dynamic program. - To exploit the small support size, our main technical component is a vast extension of the \"witness propagation\" method, originally designed by Deng, Mao, and Zhong (2023) for speeding up dynamic programming in the easier unbounded knapsack settings. To extend this approach to our 0-1 setting, we use a novel pruning method, as well as the two-level color-coding of Bringmann (2017) and the SMAWK algorithm on tall matrices.",
            "authors": [],
            "published": "2023-08-08",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-1-laws-for-pattern-occurrences-in",
            "arxiv_id": "2402.04499",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2402.04499v2",
            "url_pdf": "https://arxiv.org/pdf/2402.04499v2.pdf",
            "title": "0-1 laws for pattern occurrences in phylogenetic trees and networks",
            "abstract": "In a recent paper, the question of determining the fraction of binary trees that contain a fixed pattern known as the snowflake was posed. We show that this fraction goes to 1, providing two very different proofs: a purely combinatorial one that is quantitative and specific to this problem; and a proof using branching process techniques that is less explicit, but also much more general, as it applies to any fixed patterns and can be extended to other trees and networks. In particular, it follows immediately from our second proof that the fraction of $d$-ary trees (resp. level-$k$ networks) that contain a fixed $d$-ary tree (resp. level-$k$ network) tends to $1$ as the number of leaves grows.",
            "authors": [
                "Mike Steel",
                "François Bienvenu"
            ],
            "published": "2024-02-07",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-1-phase-transitions-in-sparse-spiked-matrix",
            "arxiv_id": "1911.05030",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/1911.05030v1",
            "url_pdf": "https://arxiv.org/pdf/1911.05030v1.pdf",
            "title": "0-1 phase transitions in sparse spiked matrix estimation",
            "abstract": "We consider statistical models of estimation of a rank-one matrix (the spike) corrupted by an additive gaussian noise matrix in the sparse limit. In this limit the underlying hidden vector (that constructs the rank-one matrix) has a number of non-zero components that scales sub-linearly with the total dimension of the vector, and the signal strength tends to infinity at an appropriate speed. We prove explicit low-dimensional variational formulas for the asymptotic mutual information between the spike and the observed noisy matrix in suitable sparse limits. For Bernoulli and Bernoulli-Rademacher distributed vectors, and when the sparsity and signal strength satisfy an appropriate scaling relation, these formulas imply sharp 0-1 phase transitions for the asymptotic minimum mean-square-error. A similar phase transition was analyzed recently in the context of sparse high-dimensional linear regression (compressive sensing).",
            "authors": [
                "Jean Barbier",
                "Nicolas Macris"
            ],
            "published": "2019-11-12",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "02-dualities-and-the-4-simplex",
            "arxiv_id": "1905.05173",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1905.05173v2",
            "url_pdf": "http://arxiv.org/pdf/1905.05173v2.pdf",
            "title": "(0,2) Dualities and the 4-Simplex",
            "abstract": "We propose that a simple, Lagrangian 2d $\\mathcal{N}=(0, 2)$ duality\ninterface between the 3d $\\mathcal{N}=2$ XYZ model and 3d $\\mathcal{N}=2$ SQED\ncan be associated to the simplest triangulated 4-manifold: the 4-simplex. We\nthen begin to flesh out a dictionary between more general triangulated\n4-manifolds with boundary and 2d $\\mathcal{N}=(0, 2)$ interfaces. In\nparticular, we identify IR dualities of interfaces associated to local changes\nof 4d triangulation, governed by the (3,3), (2,4), and (4,2) Pachner moves. We\ncheck these dualities using supersymmetric half-indices. We also describe how\nto produce stand-alone 2d theories (as opposed to interfaces) capturing the\ngeometry of 4-simplices and Pachner moves by making additional field-theoretic\nchoices, and find in this context that the Pachner moves recover abelian\n$\\mathcal{N}=(0,2)$ trialities of Gadde-Gukov-Putrov. Our work provides new,\nexplicit tools to explore the interplay between 2d dualities and 4-manifold\ngeometry that has been developed in recent years.",
            "authors": [],
            "published": "2019-08-10",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "02-hybrid-models",
            "arxiv_id": "1712.04976",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1712.04976v2",
            "url_pdf": "http://arxiv.org/pdf/1712.04976v2.pdf",
            "title": "(0,2) hybrid models",
            "abstract": "We introduce a class of (0,2) superconformal field theories based on hybrid\ngeometries, generalizing various known constructions. We develop techniques for\nthe computation of the complete massless spectrum when the theory can be\ninterpreted as determining a perturbative heterotic string compactification. We\nprovide evidence for surprising properties regarding RG flows and IR accidental\nsymmetries in (0,2) hybrid CFTs. We also study the conditions for embedding a\nhybrid theory in a particular class of gauged linear sigma models. This\nperspective suggests that our construction generates models which cannot be\nrealized or analyzed by previously known methods.",
            "authors": [],
            "published": "2018-07-24",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "02-mirror-symmetry-on-homogeneous-hopf",
            "arxiv_id": "2012.01851",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2012.01851v3",
            "url_pdf": "https://arxiv.org/pdf/2012.01851v3.pdf",
            "title": "(0,2) Mirror Symmetry on homogeneous Hopf surfaces",
            "abstract": "In this work we find the first examples of (0,2) mirror symmetry on compact non-K\\\"ahler complex manifolds. For this we follow Borisov's approach to mirror symmetry using vertex algebras and the chiral de Rham complex. Our examples of (0,2) mirrors are given by pairs of Hopf surfaces endowed with a Bismut-flat pluriclosed metric. Requiring that the geometry is homogeneous, we reduce the problem to the study of Killing spinors on a quadratic Lie algebra and the construction of embeddings of the $N=2$ superconformal vertex algebra in the superaffine vertex algebra, combined with topological T-duality.",
            "authors": [
                "Mario Garcia-Fernandez",
                "Andoni De Arriba de La Hera",
                "Luis Álvarez-Cónsul"
            ],
            "published": "2020-12-03",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "04-brane-box-models",
            "arxiv_id": "1811.09117",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1811.09117v1",
            "url_pdf": "http://arxiv.org/pdf/1811.09117v1.pdf",
            "title": "(0,4) brane box models",
            "abstract": "Two-dimensional $\\mathcal{N}=(0,4)$ supersymmetric quiver gauge theories are\nrealized as D3-brane box configurations (two dimensional intervals) which are\nbounded by NS5-branes and intersect with D5-branes. The periodic brane\nconfiguration is mapped to D1-D5-D5$'$ brane system at orbifold singularity via\nT-duality. The matter content and interactions are encoded by the\n$\\mathcal{N}=(0,4)$ quiver diagrams which are determined by the brane\nconfigurations. The Abelian gauge anomaly cancellation indicates the presence\nof Fermi multiplets at the NS-NS$'$ junction. We also discuss the brane\nconstruction of $\\mathcal{N}=(0,4)$ supersymmetric boundary conditions in 3d\n$\\mathcal{N}=4$ gauge theories involving two-dimensional boundary degrees of\nfreedom that cancel gauge anomaly.",
            "authors": [],
            "published": "2018-11-22",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-4-dualities",
            "arxiv_id": "1505.07110",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1505.07110v2",
            "url_pdf": "http://arxiv.org/pdf/1505.07110v2.pdf",
            "title": "$(0, 4)$ dualities",
            "abstract": "We study a class of two-dimensional ${\\cal N}=(0, 4)$ quiver gauge theories\nthat flow to superconformal field theories. We find dualities for the\nsuperconformal field theories similar to the 4d ${\\cal N}=2$ theories of class\n${\\cal S}$, labelled by a Riemann surface ${\\cal C}$. The dual descriptions\narise from various pair-of-pants decompositions, that involves an analog of the\n$T_N$ theory. Especially, we find the superconformal index of such theories can\nbe written in terms of a topological field theory on ${\\cal C}$. We interpret\nthis class of SCFTs as the ones coming from compactifying 6d ${\\cal N}=(2, 0)$\ntheory on $\\mathbb{CP}^1 \\times {\\cal C}$",
            "authors": [],
            "published": "2015-12-14",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "04-projective-superspaces-i-interacting",
            "arxiv_id": "2303.14675",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2303.14675v1",
            "url_pdf": "https://arxiv.org/pdf/2303.14675v1.pdf",
            "title": "$(0,4)$ Projective Superspaces I: Interacting Linear Sigma Models",
            "abstract": "We describe the projective superspace approach to supersymmetric models with off-shell $(0,4)$ supersymmetry in two dimensions. In addition to the usual superspace coordinates, projective superspace has extra bosonic variables -- one doublet for each $\\text{SU}(2)$ in the R-symmetry $\\text{SU}(2) \\times \\text{SU}(2)$ which are interpreted as homogeneous coordinates on $\\mathbf{CP}^1 \\times \\mathbf{CP}^1$. The superfields are analytic in the $\\mathbf{CP}^1$ coordinates and this analyticity plays an important role in our description. For instance, it leads to stringent constraints on the interactions one can write down for a given superfield content of the model. As an example, we describe in projective superspace Witten's ADHM sigma model -- a linear sigma model with non-derivative interactions whose target is $\\mathbf{R}^4$ with a Yang-Mills instanton solution. The hyperk\\\"ahler nature of target space and the twistor description of instantons by Ward, and Atiyah, Hitchin, Drinfeld and Manin are natural outputs of our construction.",
            "authors": [],
            "published": "2023-03-26",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-52-v-mm-ito-based-mach-zehnder-modulator-in",
            "arxiv_id": "1809.03544",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1809.03544v1",
            "url_pdf": "http://arxiv.org/pdf/1809.03544v1.pdf",
            "title": "0.52 V-mm ITO-based Mach-Zehnder Modulator in Silicon Photonics",
            "abstract": "Electro-optic modulators transform electronic signals into the optical domain\nand are critical components in modern telecommunication networks, RF photonics,\nand emerging applications in quantum photonics and beam steering. All these\napplications require integrated and voltage-efficient modulator solutions with\ncompact formfactors that are seamlessly integratable with Silicon photonics\nplatforms and feature near-CMOS material processing synergies. However,\nexisting integrated modulators are challenged to meet these requirements.\nConversely, emerging electro-optic materials heterogeneously integrated with Si\nphotonics open a new avenue for device engineering. Indium tin oxide (ITO) is\none such compelling material for heterogeneous integration in Si exhibiting\nformidable electro-optic effect characterized by unity order index at\ntelecommunication frequencies. Here we overcome these limitations and\ndemonstrate a monolithically integrated ITO electro- optic modulator based on a\nMach Zehnder interferometer (MZI) featuring a high-performance half-wave\nvoltage and active device length product, VpL = 0.52 V-mm. We show, how that\nthe unity-strong index change enables a 30 micrometer-short pi-phase shifter\noperating ITO in the index-dominated region away from the epsilon-bear-zero ENZ\npoint. This device experimentally confirms electrical phase shifting in ITO\nenabling its use in multifaceted applications including dense on-chip\ncommunication networks, nonlinearity for activation functions in photonic\nneural networks, and phased array applications for LiDAR.",
            "authors": [],
            "published": "2018-08-16",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "05-petabyte-simulation-of-a-45-qubit-quantum",
            "arxiv_id": "1704.01127",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/1704.01127v2",
            "url_pdf": "https://arxiv.org/pdf/1704.01127v2.pdf",
            "title": "0.5 Petabyte Simulation of a 45-Qubit Quantum Circuit",
            "abstract": "Near-term quantum computers will soon reach sizes that are challenging to directly simulate, even when employing the most powerful supercomputers. Yet, the ability to simulate these early devices using classical computers is crucial for calibration, validation, and benchmarking. In order to make use of the full potential of systems featuring multi- and many-core processors, we use automatic code generation and optimization of compute kernels, which also enables performance portability. We apply a scheduling algorithm to quantum supremacy circuits in order to reduce the required communication and simulate a 45-qubit circuit on the Cori II supercomputer using 8,192 nodes and 0.5 petabytes of memory. To our knowledge, this constitutes the largest quantum circuit simulation to this date. Our highly-tuned kernels in combination with the reduced communication requirements allow an improvement in time-to-solution over state-of-the-art simulations by more than an order of magnitude at every scale.",
            "authors": [
                "Thomas Häner",
                "Damian S. Steiger"
            ],
            "published": "2017-04-04",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-71-aa-resolution-electron-tomography",
            "arxiv_id": "2003.12259",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/2003.12259v1",
            "url_pdf": "http://arxiv.org/pdf/2003.12259v1.pdf",
            "title": "0.71-{\\AA} resolution electron tomography enabled by deep learning aided information recovery",
            "abstract": "Electron tomography, as an important 3D imaging method, offers a powerful\nmethod to probe the 3D structure of materials from the nano- to the\natomic-scale. However, as a grant challenge, radiation intolerance of the\nnanoscale samples and the missing-wedge-induced information loss and artifacts\ngreatly hindered us from obtaining 3D atomic structures with high fidelity.\nHere, for the first time, by combining generative adversarial models with\nstate-of-the-art network architectures, we demonstrate the resolution of\nelectron tomography can be improved to 0.71 angstrom which is the highest\nthree-dimensional imaging resolution that has been reported thus far. We also\nshow it is possible to recover the lost information and remove artifacts in the\nreconstructed tomograms by only acquiring data from -50 to +50 degrees (44%\nreduction of dosage compared to -90 to +90 degrees full tilt series). In\ncontrast to conventional methods, the deep learning model shows outstanding\nperformance for both macroscopic objects and atomic features solving the\nlong-standing dosage and missing-wedge problems in electron tomography. Our\nwork provides important guidance for the application of machine learning\nmethods to tomographic imaging and sheds light on its applications in other 3D\nimaging techniques.",
            "authors": [],
            "published": "2020-03-27",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-7-2-5-mu-m-spectra-of-hilda-asteroids",
            "arxiv_id": "1707.09064",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1707.09064v1",
            "url_pdf": "http://arxiv.org/pdf/1707.09064v1.pdf",
            "title": "$0.7-2.5~\\mu$m spectra of Hilda asteroids",
            "abstract": "The Hilda asteroids are primitive bodies in resonance with Jupiter whose\norigin and physical properties are not well understood. Current models posit\nthat these asteroids formed in the outer Solar System and were scattered along\nwith the Jupiter Trojans into their present-day positions during a chaotic\nepisode of dynamical restructuring. In order to explore the surface composition\nof these enigmatic objects in comparison with an analogous study of Trojans\n(Emery et al. 2011), we present new near-infrared spectra (0.7-2.5 $\\mu$m) of\n25 Hilda asteroids. No discernible absorption features are apparent in the\ndata. Synthesizing the bimodalities in optical color and infrared reflectivity\nreported in previous studies, we classify 26 of the 28 Hildas in our spectral\nsample into the so-called less-red and red sub-populations and find that the\ntwo sub-populations have distinct average spectral shapes. Combining our\nresults with visible spectra, we find that Trojans and Hildas possess similar\noverall spectral shapes, suggesting that the two minor body populations share a\ncommon progenitor population. A more detailed examination reveals that while\nthe red Trojans and Hildas have nearly identical spectra, less-red Hildas are\nsystematically bluer in the visible and redder in the near-infrared than\nless-red Trojans, indicating a putative broad, shallow absorption feature\nbetween 0.5 and 1.0 $\\mu$m. We argue that the less-red and red objects found in\nboth Hildas and Trojans represent two distinct surface chemistries and\nattribute the small discrepancy between less-red Hildas and Trojans to the\ndifference in surface temperatures between the two regions.",
            "authors": [],
            "published": "2017-07-27",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-75-atoms-improve-the-clock-signal-of-10000",
            "arxiv_id": "1605.07754",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1605.07754v1",
            "url_pdf": "http://arxiv.org/pdf/1605.07754v1.pdf",
            "title": "0.75 atoms improve the clock signal of 10,000 atoms",
            "abstract": "Since the pioneering work of Ramsey, atom interferometers are employed for\nprecision metrology, in particular to measure time and to realize the second.\nIn a classical interferometer, an ensemble of atoms is prepared in one of the\ntwo input states, whereas the second one is left empty. In this case, the\nvacuum noise restricts the precision of the interferometer to the standard\nquantum limit (SQL). Here, we propose and experimentally demonstrate a novel\nclock configuration that surpasses the SQL by squeezing the vacuum in the empty\ninput state. We create a squeezed vacuum state containing an average of 0.75\natoms to improve the clock sensitivity of 10,000 atoms by 2.05 dB. The SQL\nposes a significant limitation for today's microwave fountain clocks, which\nserve as the main time reference. We evaluate the major technical limitations\nand challenges for devising a next generation of fountain clocks based on\natomic squeezed vacuum.",
            "authors": [],
            "published": "2016-05-25",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "high-speed-physical-key-distribution-based-on",
            "arxiv_id": "2004.08586",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2004.08586v3",
            "url_pdf": "https://arxiv.org/pdf/2004.08586v3.pdf",
            "title": "0.75 Gbit/s high-speed classical key distribution with mode-shift keying chaos synchronization of Fabry-Perot lasers",
            "abstract": "High-speed physical key distribution is diligently pursued for secure communication. In this paper, we propose and experimentally demonstrate a scheme of high-speed key distribution using mode-shift keying chaos synchronization between two multi-longitudinal-mode Fabry-Perot lasers commonly driven by a super-luminescent diode. Legitimate users dynamically select one of the longitudinal modes according to private control codes to achieve mode-shift keying chaos synchronization. The two remote chaotic light waveforms are quantized to generate two raw random bit streams, and then those bits corresponding to chaos synchronization are sifted as shared keys by comparing the control codes. In this method, the transition time, i.e., the chaos synchronization recovery time is determined by the rising time of the control codes rather than the laser transition response time, so the key distribution rate is improved greatly. Our experiment achieved 0.75-Gbit/s key distribution rate with a bit error rate of 3.8*10-3 over 160-km fiber transmission with dispersion compensation. The entropy rate of the laser chaos is evaluated as 16 Gbit/s, which determines the ultimate final key rate together with key generation ratio. It is therefore believed that the method pays a way for Gbit/s physical key distribution.",
            "authors": [],
            "published": "2020-04-18",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-7-mw-yb-yag-pumped-degenerate-optical",
            "arxiv_id": "2407.13371",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2407.13371v1",
            "url_pdf": "https://arxiv.org/pdf/2407.13371v1.pdf",
            "title": "0.7 MW Yb:YAG pumped degenerate optical parametric oscillator at 2.06 μm",
            "abstract": "Frequency comb and field-resolved broadband absorption spectroscopy are promising techniques for rapid, precise, and sensitive detection of short-lived atmospheric pollutants on-site. Enhancing detection sensitivity in absorption spectroscopy hinges on bright sources that cover molecular resonances and fast signal modulation techniques to implement lock-in detection schemes efficiently. Yb:YAG thin-disk lasers, combined with optical parametric oscillators (OPO), present a compelling solution to fulfill these requirements. In this work, we report on a bright OPO pumped by a Yb:YAG thin-disk Kerr-lens mode-locked oscillator delivering 2.8 W, 114 fs pulses at 2.06 {\\mu}m with an averaged energy of 90 nJ. The OPO cavity operates at 30.9 MHz pulse repetition rates, the second harmonic of the pump cavity, allowing for broadband, efficient, and dispersion-free modulation of the OPO output pulses at 15.45 MHz rate. With 13% optical-to-optical conversion efficiency and a high-frequency intra-cavity modulation, this scalable scheme holds promise to advance the detection sensitivity and frontiers of field-resolved spectroscopic techniques.",
            "authors": [],
            "published": "2024-07-18",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-8-nyquist-computational-ghost-imaging-via",
            "arxiv_id": "2108.07673",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2108.07673v1",
            "url_pdf": "https://arxiv.org/pdf/2108.07673v1.pdf",
            "title": "0.8% Nyquist computational ghost imaging via non-experimental deep learning",
            "abstract": "We present a framework for computational ghost imaging based on deep learning and customized pink noise speckle patterns. The deep neural network in this work, which can learn the sensing model and enhance image reconstruction quality, is trained merely by simulation. To demonstrate the sub-Nyquist level in our work, the conventional computational ghost imaging results, reconstructed imaging results using white noise and pink noise via deep learning are compared under multiple sampling rates at different noise conditions. We show that the proposed scheme can provide high-quality images with a sampling rate of 0.8% even when the object is outside the training dataset, and it is robust to noisy environments. This method is excellent for various applications, particularly those that require a low sampling rate, fast reconstruction efficiency, or experience strong noise interference.",
            "authors": [
                "Marlan O. Scully",
                "Tao Peng",
                "Xingchen Zhao",
                "Yu Zhou",
                "Hui Chen",
                "Hairong Su",
                "Xiaoyu Nie",
                "Haotian Song"
            ],
            "published": "2021-08-17",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-and-1-heavy-light-exotic-mesons-at-n2lo-in",
            "arxiv_id": "1801.09110",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1801.09110v1",
            "url_pdf": "http://arxiv.org/pdf/1801.09110v1.pdf",
            "title": "0+ and 1+ heavy-light exotic mesons at N2LO in the chiral limit",
            "abstract": "We use QCD spectral sum rules (QSSR) and the factorization properties of\nmolecule and four-quark currents to estimate the masses and couplings of the 0+\nand 1+ molecules and four-quark at N2LO of PT QCD. We include in the OPE the\ncontributions of non-perturbative condensates up to dimension-six. Within the\nLaplace sum rules approach (LSR) and in the MS-scheme, we summarize our results\nin Table 2, which agree within the errors with some of the observed XZ-like\nmolecules or/and four-quark. Couplings of these states to the currents are also\nextracted. Our results are improvements of the LO ones in the existing\nliterature.",
            "authors": [],
            "published": "2018-01-27",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-auslander-correspondence",
            "arxiv_id": "2306.15958",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2306.15958v2",
            "url_pdf": "https://arxiv.org/pdf/2306.15958v2.pdf",
            "title": "0-Auslander correspondence",
            "abstract": "In this short note we prove an analogue of Auslander correspondence for exact dg categories whose $H^0$-category is $0$-Auslander in the sense of Gorsky--Nakaoka--Palu.",
            "authors": [],
            "published": "2023-06-28",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-concordance-of-2-knots",
            "arxiv_id": "1907.06524",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1907.06524v1",
            "url_pdf": "http://arxiv.org/pdf/1907.06524v1.pdf",
            "title": "0-Concordance of 2-knots",
            "abstract": "In this paper we investigate the 0-concordance classes of 2-knots in $S^4$,\nan equivalence relation that is related to understanding smooth structures on\n4-manifolds. Using Rochlin's invariant, and invariants arising from\nHeegaard-Floer homology, we will prove that there are infinitely many\n0-concordance classes of 2-knots.",
            "authors": [],
            "published": "2019-07-15",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-concordance-of-knotted-surfaces-and",
            "arxiv_id": "1911.13112",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1911.13112v1",
            "url_pdf": "http://arxiv.org/pdf/1911.13112v1.pdf",
            "title": "0-concordance of knotted surfaces and Alexander ideals",
            "abstract": "In this paper we provide a new obstruction to 0-concordance of knotted\nsurfaces in $S^4$ in terms of Alexander ideals. We use this to prove the\nexistence of infinitely many linearly independent 0-concordance classes and to\nprovide the first proof that the submonoid of 2-knots is not a group. The main\nresult is that the Alexander ideal induces a homomorphism from the\n0-concordance monoid $\\mathscr{C}_0$ of oriented surface knots in $S^4$ to the\nideal class monoid of $\\mathbb{Z}[t^{\\pm1}]$. Consequently, any surface knot\nwith nonprincipal Alexander ideal is not 0-slice and in fact, not invertible in\n$\\mathscr{C}_0$. Many examples are given. We also characterize which ideals are\nthe ideals of surface knots, generalizing a theorem of Kinoshita, and\ngeneralize the knot determinant to the case of nonprincipal ideals. Lastly, we\nshow that under a mild condition on the knot group, the peripheral subgroup of\na knotted surface is also a 0-concordance invariant.",
            "authors": [],
            "published": "2019-11-29",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-cycles-on-grassmannians-as-representations",
            "arxiv_id": "1811.08675",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1811.08675v3",
            "url_pdf": "http://arxiv.org/pdf/1811.08675v3.pdf",
            "title": "0-cycles on Grassmannians as representations of projective groups",
            "abstract": "Let $F$ be an infinite division ring, $V$ be a left $F$-vector space, $r>0$\nbe an integer. We study the structure of the representation of the linear group\n$\\mathrm{GL}_F(V)$ in the vector space of formal finite linear combinations of\n$r$-dimensional vector subspaces of $V$ with coefficients in a field $K$. This\ngives a series of natural examples of irreducible infinite-dimensional\nrepresentations of projective groups. These representations are non-smooth if\n$F$ is locally compact and non-discrete.",
            "authors": [],
            "published": "2019-09-12",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "tailoring-quantum-oscillations-of-excitonic",
            "arxiv_id": "2107.13518",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2107.13518v3",
            "url_pdf": "https://arxiv.org/pdf/2107.13518v3.pdf",
            "title": "0D-2D Heterostructure for making very Large Quantum Registers using itinerant Bose-Einstein Condensate of Excitons",
            "abstract": "Presence of coherent resonant tunneling in quantum dot (zero-dimensional) - quantum well (two-dimensional) heterostructure is necessary to explain the collective oscillations of average electrical polarization of excitonic dipoles over a macroscopically large area. This was measured using photo excited capacitance as a function of applied voltage bias. Resonant tunneling in this heterostructure definitely requires momentum space narrowing of charge carriers inside the quantum well and that of associated indirect excitons, which indicates bias dependent itinerant Bose-Einstein condensation of excitons. Observation of periodic variations in negative quantum capacitance points to in-plane coulomb correlations mediated by long range spatial ordering of indirect, dipolar excitons. Enhanced contrast of quantum interference beats of excitonic polarization waves even under white light and observed Rabi oscillations over a macroscopically large area also support the presence of density driven excitonic condensation having long range order. Periodic presence (absence) of splitting of excitonic peaks in photocapacitance spectra even demonstrate collective coupling (decoupling) between energy levels of the quantum well and quantum dots with applied biases, which can potentially be used for quantum gate operations. All these observations point to experimental control of macroscopically large, quantum state of a two-component Bose-Einstein condensate of excitons in this quantum dot - quantum well heterostructure. Therefore, in principle, millions of two-level excitonic qubits can be intertwined to fabricate large quantum registers using such hybrid heterostructure by controlling the local electric fields and also by varying photoexcitation intensities of overlapping light spots.",
            "authors": [],
            "published": "2021-07-28",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-dimensional-homology-preserving",
            "arxiv_id": null,
            "nips_id": null,
            "url_abs": "https://openreview.net/forum?id=zrDNDWjOGwH",
            "url_pdf": "https://openreview.net/pdf?id=zrDNDWjOGwH",
            "title": "0-dimensional Homology Preserving Dimensionality Reduction with TopoMap",
            "abstract": "This note presents TopoMap, a novel dimensionality reduction technique which provides topological guarantees during the mapping process. In particular, TopoMap performs the mapping from a high-dimensional space to a visual space, while preserving the 0-dimensional persistence diagram of the Rips filtration of the high-dimensional data, ensuring that the filtrations generate the same connected components when applied to the original as well as projected data. The presented case studies show that the topological guarantee provided by TopoMap not only brings confidence to the visual analytic process but also can be used to assist in the assessment of other projection methods.\n",
            "authors": [
                "Cláudio Silva",
                "Luis Gustavo Nonato",
                "Paulo J.S. Silva",
                "Julien Tierny",
                "Harish Doraiswamy"
            ],
            "published": "2020-10-10",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": "neurips-workshop-tda-and-beyond-2020-12"
        },
        {
            "id": "0-dimensional-ideal-approximation-theory",
            "arxiv_id": "2502.04665",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2502.04665v1",
            "url_pdf": "https://arxiv.org/pdf/2502.04665v1.pdf",
            "title": "0-Dimensional Ideal Approximation Theory",
            "abstract": "We propose axioms for 0-dimensional ideal approximation theory and note that extriangulated categories satisfy these axioms.",
            "authors": [],
            "published": "2025-02-07",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-form-1-form-and-2-group-symmetries-via",
            "arxiv_id": "2203.10102",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2203.10102v4",
            "url_pdf": "https://arxiv.org/pdf/2203.10102v4.pdf",
            "title": "0-Form, 1-Form and 2-Group Symmetries via Cutting and Gluing of Orbifolds",
            "abstract": "Orbifold singularities of M-theory constitute the building blocks of a broad class of supersymmetric quantum field theories (SQFTs). In this paper we show how the local data of these geometries determines global data on the resulting higher symmetries of these systems. In particular, via a process of cutting and gluing, we show how local orbifold singularities encode the 0-form, 1-form and 2-group symmetries of the resulting SQFTs. Geometrically, this is obtained from the possible singularities which extend to the boundary of the non-compact geometry. The resulting category of boundary conditions then captures these symmetries, and is equivalently specified by the orbifold homology of the boundary geometry. We illustrate these general points in the context of a number of examples, including 5D superconformal field theories engineered via orbifold singularities, 5D gauge theories engineered via singular elliptically fibered Calabi-Yau threefolds, as well as 4D SQCD-like theories engineered via M-theory on non-compact $G_2$ spaces.",
            "authors": [],
            "published": "2022-03-18",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-fully-charmed-tetraquark-states",
            "arxiv_id": "2010.07719",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/2010.07719v1",
            "url_pdf": "http://arxiv.org/pdf/2010.07719v1.pdf",
            "title": "$0^{+}$ fully-charmed tetraquark states",
            "abstract": "Motivated by the LHCb's new observation of structures in the $J/\\psi$-pair\ninvariant mass spectrum, for which could be classified as possible\n$cc\\bar{c}\\bar{c}$ tetraquark candidates, we systematically study $0^{+}$\nfully-charmed tetraquark states through QCD sum rules. Making the development\nof calculation techniques to fourfold heavy hadronic systems, four different\nconfiguration currents with $0^{+}$ are considered and vacuum condensates up to\ndimension $6$ are included in the operator product expansion (OPE). Finally,\nmass values acquired for $0^{+}$ $cc\\bar{c}\\bar{c}$ tetraquark states agree\nwell with the experimental data of the broad structure, which supports that it\ncould be a $0^{+}$ fully-charmed tetraquark state.",
            "authors": [],
            "published": "2020-10-15",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-gaps-on-3d-digital-curves",
            "arxiv_id": "2109.13341",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2109.13341v1",
            "url_pdf": "https://arxiv.org/pdf/2109.13341v1.pdf",
            "title": "0-Gaps on 3D Digital Curves",
            "abstract": "In Digital Geometry, gaps are some basic portion of a digital object that a discrete ray can cross without intersecting any voxel of the object itself. Such a notion is quite important in combinatorial image analysis and it is strictly connected with some applications in fields as CAD and Computer graphics. In this paper we prove that the number of $0$-gaps of a $3$D digital curve can be expressed as a linear combination of the number of its $i$-cells (with $i = 0, \\ldots, 3$).",
            "authors": [],
            "published": "2021-09-16",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-hecke-modules-domino-tableaux-and-type-b",
            "arxiv_id": "2404.04961",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2404.04961v1",
            "url_pdf": "https://arxiv.org/pdf/2404.04961v1.pdf",
            "title": "0-Hecke Modules, Domino Tableaux, and Type-$B$ Quasisymmetric Functions",
            "abstract": "We extend the notion of ascent-compatibility from symmetric groups to all Coxeter groups, thereby providing a type-independent framework for constructing families of modules of $0$-Hecke algebras. We apply this framework in type $B$ to give representation-theoretic interpretations of a number of noteworthy families of type-$B$ quasisymmetric functions. Next, we construct modules of the type-$B$ $0$-Hecke algebra corresponding to type-$B$ analogues of Schur functions and introduce a type-$B$ analogue of Schur $Q$-functions; we prove that these shifted domino functions expand positively in the type-$B$ peak functions. We define a type-$B$ analogue of the $0$-Hecke--Clifford algebra, and we use this to provide representation-theoretic interpretations for both the type-$B$ peak functions and the shifted domino functions. We consider the modules of this algebra induced from type-$B$ $0$-Hecke modules constructed via ascent-compatibility and prove a general formula, in terms of type-$B$ peak functions, for the type-$B$ quasisymmetric characteristics of the restrictions of these modules.",
            "authors": [],
            "published": "2024-04-07",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "row-strict-dual-immaculate-functions-and-0",
            "arxiv_id": "2202.00708",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2202.00708v3",
            "url_pdf": "https://arxiv.org/pdf/2202.00708v3.pdf",
            "title": "0-Hecke modules for row-strict dual immaculate functions",
            "abstract": "We introduce a new basis of quasisymmetric functions, the row-strict dual immaculate functions. We construct a cyclic, indecomposable 0-Hecke algebra module for these functions. Our row-strict immaculate functions are related to the dual immaculate functions of Berg-Bergeron-Saliola-Serrano-Zabrocki (2014-15) by the involution $\\psi$ on the ring of quasisymmetric functions. We give an explicit description of the effect of $\\psi$ on the associated 0-Hecke modules, via the poset induced by the 0-Hecke action on standard immaculate tableaux. This remarkable poset reveals other 0-Hecke submodules and quotient modules, often cyclic and indecomposable, notably for a row-strict analogue of the extended Schur functions studied in Assaf-Searles (2019). Like the dual immaculate function, the row-strict dual immaculate function is the generating function of a suitable set of tableaux, corresponding to a specific descent set. We give a complete combinatorial and representation-theoretic picture by constructing 0-Hecke modules for the remaining variations on descent sets, and showing that \\emph{all} the possible variations for generating functions of tableaux occur as characteristics of the 0-Hecke modules determined by these descent sets.",
            "authors": [],
            "published": "2022-02-01",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "moms-with-events-multi-object-motion",
            "arxiv_id": "2006.06158",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2006.06158v2",
            "url_pdf": "https://arxiv.org/pdf/2006.06158v2.pdf",
            "title": "0-MMS: Zero-Shot Multi-Motion Segmentation With A Monocular Event Camera",
            "abstract": "Segmentation of moving objects in dynamic scenes is a key process in scene understanding for navigation tasks. Classical cameras suffer from motion blur in such scenarios rendering them effete. On the contrary, event cameras, because of their high temporal resolution and lack of motion blur, are tailor-made for this problem. We present an approach for monocular multi-motion segmentation, which combines bottom-up feature tracking and top-down motion compensation into a unified pipeline, which is the first of its kind to our knowledge. Using the events within a time-interval, our method segments the scene into multiple motions by splitting and merging. We further speed up our method by using the concept of motion propagation and cluster keyslices. The approach was successfully evaluated on both challenging real-world and synthetic scenarios from the EV-IMO, EED, and MOD datasets and outperformed the state-of-the-art detection rate by 12\\%, achieving a new state-of-the-art average detection rate of 81.06%, 94.2% and 82.35% on the aforementioned datasets. To enable further research and systematic evaluation of multi-motion segmentation, we present and open-source a new dataset/benchmark called MOD++, which includes challenging sequences and extensive data stratification in-terms of camera and object motion, velocity magnitudes, direction, and rotational speeds.",
            "authors": [
                "Cornelia Fermüller",
                "Chahat Deep Singh",
                "Nitin J. Sanket",
                "Yiannis Aloimonos",
                "Chethan M. Parameshwara"
            ],
            "published": "2020-06-11",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-n-cup-omega-is-a-spectrum-of-a-non",
            "arxiv_id": "1908.09387",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/1908.09387v2",
            "url_pdf": "https://arxiv.org/pdf/1908.09387v2.pdf",
            "title": "$[0,n]\\cup \\{ω\\}$ is a spectrum of a non-disintegrated flat strongly minimal model complete theory in a language with finite signature",
            "abstract": "We build a new spectrum of recursive models (SRM(T)) of a strongly minimal theory. This theory is non-disintegrated, flat, model complete, and in a language with a finite signature.",
            "authors": [],
            "published": "2019-08-25",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-nu-beta-beta-and-2-nu-beta-beta-nuclear",
            "arxiv_id": "1506.08530",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1506.08530v1",
            "url_pdf": "http://arxiv.org/pdf/1506.08530v1.pdf",
            "title": "$0\\nu\\beta\\beta$ and $2\\nu\\beta\\beta$ nuclear matrix elements in the interacting boson model with isospin restoration",
            "abstract": "We introduce a method for isospin restoration in the calculation of nuclear\nmatrix elements (NME) for $0\\nu\\beta\\beta$ and $2\\nu\\beta\\beta$ decay within\nthe framework of interacting boson model (IBM-2). With this method, we\ncalculate NME for all processes of interest in $0\\nu\\beta^-\\beta^-$,\n$2\\nu\\beta^-\\beta^-$, and in $0\\nu\\beta^+\\beta^+$, $0\\nu\\beta^+ EC^+$, $R0\\nu\nECEC$, $2\\nu\\beta^+\\beta^+$, $2\\nu\\beta^+EC$, and $2\\nu ECEC$. With this\nmethod, the Fermi (F) matrix elements for $2\\nu\\beta\\beta$ vanish, and those\nfor $0\\nu\\beta\\beta$ are considerably reduced.",
            "authors": [],
            "published": "2015-06-29",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-nu-beta-beta-in-left-right-theories-with",
            "arxiv_id": "1809.10577",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1809.10577v2",
            "url_pdf": "http://arxiv.org/pdf/1809.10577v2.pdf",
            "title": "$0\\nu\\beta\\beta$ in left-right theories with Higgs doublets and gauge coupling unification",
            "abstract": "We consider a version of Left-Right Symmetric Model in which the scalar\nsector consists of a Higgs bidoublet ($\\Phi$) with $B-L=0$, Higgs doublets\n($H_{L,R}$) with $B-L=1$ and a charged scalar ($\\delta^+$) with $B-L=2$ leading\nto radiatively generated Majorana masses for neutrinos and thereby, leads to\nnew physics contributions to neutrinoless double beta decay ($0\\nu \\beta\n\\beta$). We show that such a novel framework can be embedded in a non-SUSY\n$SO(10)$ GUT leading to successful gauge coupling unification at around\n$10^{16}$ GeV with the scale of left-right symmetry breaking around $10^{10}$\nGeV. The model can also be extended to have left-right symmetry breaking at TeV\nscale, enabling detection of $W_R, Z_R$ bosons in LHC and future collider\nsearches. In the context of neutrinoless double beta decay, this model can\nsaturate the present bound from GERDA and KamLAND-Zen experiments. Also, we\nbriefly explain how keV-MeV range RH neutrino arising from our model can\nsaturate various astrophysical and cosmological constraints and can be\nconsidered as warm Dark Matter (DM) candidate to address various cosmological\nissues. We also discuss on left-right theories with Higgs doublets without\nhaving scalar bidoublet leading to fermion masses and mixings by inclusion of\nvector like fermions.",
            "authors": [],
            "published": "2019-12-27",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-nu-beta-beta-nuclear-matrix-elements",
            "arxiv_id": "1808.05016",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1808.05016v1",
            "url_pdf": "http://arxiv.org/pdf/1808.05016v1.pdf",
            "title": "$0\\nu\\beta\\beta$ nuclear matrix elements, neutrino potentials and $\\mathrm{SU}(4)$ symmetry",
            "abstract": "Intimate relation between the Gamow-Teller part of the matrix element\n$M^{0\\nu}_\\mathrm{GT}$ and the $2\\nu\\beta\\beta$ closure matrix element\n$M^{2\\nu}_\\mathrm{cl}$ is explained and explored. If the corresponding radial\ndependence $C^{2\\nu}_\\mathrm{cl}(r)$ would be known, $M^{0\\nu}$ corresponding\nto any mechanism responsible for the $0\\nu\\beta\\beta$ decay can be obtained as\na simple integral. However, the $M^{2\\nu}_\\mathrm{cl}$ values sensitively\ndepend on the properties of higher lying $1^+$ states in the intermediate\nodd-odd nuclei. We show that the $\\beta^-$ and $\\beta^+$ amplitudes of such\nstates typically have opposite relative signs, and their contributions reduce\nseverally the $M^{2\\nu}_\\mathrm{cl}$ values. Vanishing values of\n$M^{2\\nu}_\\mathrm{cl}$ are signs of a partial restoration of the spin-isospin\n$\\mathrm{SU}(4)$ symmetry. We suggest that demanding that\n$M^{2\\nu}_\\mathrm{cl}$ = 0 is a sensible way, within the method of the\nQuasi-particle Random Phase Approximation (QRPA), of determining the amount of\nrenormalization of isoscalar particle-particle interaction strength\n$g^{T=0}_{pp}$. Using such prescription, the matrix elements $M^{0\\nu}$ are\nevaluated; their values are not very different ($\\le$ 20\\%) from the usual QRPA\nvalues when $g^{T=0}_{pp}$ is related to the known $2\\nu\\beta\\beta$ half-lives.",
            "authors": [],
            "published": "2018-08-15",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-pierced-triangles-within-a-poisson-overlay",
            "arxiv_id": "1804.01353",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1804.01353v2",
            "url_pdf": "http://arxiv.org/pdf/1804.01353v2.pdf",
            "title": "0-Pierced Triangles within a Poisson Overlay",
            "abstract": "Let the Euclidean plane be simultaneously and independently endowed with a\nPoisson point process and a Poisson line process, each of unit intensity.\nConsider a triangle T whose vertices all belong to the point process. The\ntriangle is 0-pierced if no member of the line process intersects any side of\nT. Our starting point is Ambartzumian's 1982 joint density for angles of T; our\nexposition is elementary and raises several unanswered questions.",
            "authors": [],
            "published": "2019-04-24",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-pi-phase-controllable-thermal-josephson",
            "arxiv_id": "1607.02428",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1607.02428v3",
            "url_pdf": "http://arxiv.org/pdf/1607.02428v3.pdf",
            "title": "0-$\\pi$ phase-controllable $thermal$ Josephson junction",
            "abstract": "Two superconductors coupled by a weak link support an equilibrium Josephson\nelectrical current which depends on the phase difference $\\varphi$ between the\nsuperconducting condensates [1]. Yet, when a temperature gradient is imposed\nacross the junction, the Josephson effect manifests itself through a coherent\ncomponent of the heat current that flows oppositely to the thermal gradient for\n$ \\varphi <\\pi/2$ [2-4]. The direction of both the Josephson charge and heat\ncurrents can be inverted by adding a $\\pi$ shift to $\\varphi$. In the static\nelectrical case, this effect was obtained in a few systems, e.g. via a\nferromagnetic coupling [5,6] or a non-equilibrium distribution in the weak link\n[7]. These structures opened new possibilities for superconducting quantum\nlogic [6,8] and ultralow power superconducting computers [9]. Here, we report\nthe first experimental realization of a thermal Josephson junction whose phase\nbias can be controlled from $0$ to $\\pi$. This is obtained thanks to a\nsuperconducting quantum interferometer that allows to fully control the\ndirection of the coherent energy transfer through the junction [10]. This\npossibility, joined to the completely superconducting nature of our system,\nprovides temperature modulations with unprecedented amplitude of $\\sim$ 100 mK\nand transfer coefficients exceeding 1 K per flux quantum at 25 mK. Then, this\nquantum structure represents a fundamental step towards the realization of\ncaloritronic logic components, such as thermal transistors, switches and memory\ndevices [10,11]. These elements, combined with heat interferometers [3,4,12]\nand diodes [13,14], would complete the thermal conversion of the most important\nphase-coherent electronic devices and benefit cryogenic microcircuits requiring\nenergy management, such as quantum computing architectures and radiation\nsensors.",
            "authors": [],
            "published": "2016-12-15",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-pi-quantum-transition-in-a-carbon-nanotube",
            "arxiv_id": "1601.03878",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1601.03878v1",
            "url_pdf": "http://arxiv.org/pdf/1601.03878v1.pdf",
            "title": "0-$\\pi$ quantum transition in a carbon nanotube Josephson junction: universal phase dependence and orbital degeneracy",
            "abstract": "We investigate experimentally the supercurrent in a clean carbon nanotube\nquantum dot, close to orbital degeneracy, connected to superconducting leads in\na regime of strong competition between local electronic correlations and\nsuperconducting proximity effect. For an odd occupancy of the dot and\nintermediate coupling to the reservoir, the Kondo effect can develop in the\nnormal state and screen the local magnetic moment of the dot. This leads to\nsinglet-doublet transitions that strongly affect the Josephson effect in a\nsingle-level quantum dot: the sign of the supercurrent changes from positive to\nnegative (0 to $\\pi$-junction). In the regime of strongest competition between\nthe Kondo effect and proximity effect, meaning that the Kondo temperature\nequals the superconducting gap, the magnetic state of the dot undergoes a first\norder quantum transition induced by the superconducting phase difference across\nthe junction. This is revealed experimentally by anharmonic current-phase\nrelations. In addition, the very specific electronic configuration of clean\ncarbon nanotubes, with two nearly orbitally degenerated states, leads to\ndifferent physics depending whether only one or both quasi-degenerate upper\nlevels of the dots participate to transport, which is determined by their\noccupancy and relative widths. When the transport of Cooper pairs takes place\nthrough only one of these levels, we find that the phase diagram of the\nphase-dependent 0-$\\pi$ transition is a universal characteristic of a\ndiscontinuous level-crossing quantum transition at zero temperature. In the\ncase were two levels participate to transport, the nanotube Josephson current\nexhibits a continuous 0-$\\pi$ transition, independent of the superconducting\nphase, revealing a different physical mechanism of the transition.",
            "authors": [],
            "published": "2016-01-15",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-pi-quantum-transition-in-a-carbon-nanotube-1",
            "arxiv_id": "1712.08372",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1712.08372v1",
            "url_pdf": "http://arxiv.org/pdf/1712.08372v1.pdf",
            "title": "0-Pi quantum transition in a carbon nanotube Josephson junction: Universal phase dependence and orbital degeneracy",
            "abstract": "In a quantum dot hybrid superconducting junction, the behavior of the\nsupercurrent is dominated by Coulomb blockade physics, which determines the\nmagnetic state of the dot. In particular, in a single level quantum dot singly\noccupied, the sign of the supercurrent can be reversed, giving rise to a\npi-junction. This 0-pi transition, corresponding to a singlet-doublet\ntransition, is then driven by the gate voltage or by the superconducting phase\nin the case of strong competition between the superconducting proximity effect\nand Kondo correlations. In a two-level quantum dot, such as a clean carbon\nnanotube, 0-pi transitions exist as well but, because more cotunneling\nprocesses are allowed, are not necessarily associated to a magnetic state\ntransition of the dot. In this proceeding, after a review of 0-pi transitions\nin Josephson junctions, we present measurements of current-phase relation in a\nclean carbon nanotube quantum dot, in the single and two-level regimes. In the\nsingle level regime, close to orbital degeneracy and in a regime of strong\ncompetition between local electronic correlations and superconducting proximity\neffect, we find that the phase diagram of the phase-dependent transition is a\nuniversal characteristic of a discontinuous level-crossing quantum transition\nat zero temperature. In the case where the two levels are involved, the\nnanotube Josephson current exhibits a continuous 0-pi transition, independent\nof the superconducting phase, revealing a different physical mechanism of the\ntransition.",
            "authors": [],
            "published": "2017-12-22",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0ptical-trapping-with-optical-magnetic-field",
            "arxiv_id": "2408.09707",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2408.09707v1",
            "url_pdf": "https://arxiv.org/pdf/2408.09707v1.pdf",
            "title": "0ptical trapping with optical magnetic field and photonic Hall effect forces",
            "abstract": "Optical trapping is having ever-increasing impact in science $-$ particularly biophysics, photonics and most recently in quantum optomechanics $-$ owing to its superior capability for manipulating nanoscale structures and materials. However, essentially all experimental optical trapping studies in the optical dipole regime have, to date, been dominated by the interaction between a material's electric polarizability, $\\alpha_{e}$, and the electric part of the incident electromagnetic field, and therefore described by electric field intensity gradient forces. Optical trapping based on optical magnetic light-matter interactions has not been experimentally addressed despite it's immediate extension of the boundaries of optical trapping research and applications. This paper addresses this long-standing deficiency through the realization of optical magnetic trapping of large index of refraction (i.e., Si) nanoparticles and also presents a formalism for quantitative understanding of the experimental findings. Our experimental optical trapping results require including optical magnetic polarizability, $\\alpha_{m}$, and electric-magnetic scattering forces associated with the Photonic Hall effect that are qualitatively and quantitatively validated by Maxwell stress tensor calculations. Our findings bring new opportunities for nanoparticle manipulation, potentially relax the limitations Ashkin claimed based on the optical Earnshaw's theorem, motivate optical matter formation by optical magnetic interactions, and suggest new N-body effects and symmetry breaking to drive dynamics of optical matter systems.",
            "authors": [],
            "published": "2024-08-19",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-rotatability-of-classes-of-rooted-symmetric",
            "arxiv_id": "2312.16235",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2312.16235v1",
            "url_pdf": "https://arxiv.org/pdf/2312.16235v1.pdf",
            "title": "0-rotatability of classes of rooted symmetric trees. Are rooted symmetric trees 0-rotatable?",
            "abstract": "A graceful labelling of a tree T = (V,E), where V is the set of vertices of the tree and E is its edge set, is a bijective function f from V to the set consisting of the numbers 0, 1, ... |E| inclusive, such that if edge uv is assigned the value |f(u)-f(v)| then the edge labels are distinct numbers of the set consisting of the numbers 1, 2, ..., |E| inclusive. A tree is said to be 0-roratable if for any of its vertices there is a graceful labelling that assigns the label 0 to that vertex. A rooted symmetric tree is a tree in which all vertices at the same level from root vertex have the same degree. It was known since 1979 that rooted symmetric trees are graceful and an algebraic definition of graceful labelling of this class of trees was found by the author. In this paper we prove that rooted symmetric trees with at most 3 levels (including root vertex) are 0-rotatable. We also prove that symmetric spider trees with leg length at most 3 and symmetric banana trees, both of which are classes of rooted symmetric trees with 4 levels, are 0-rotatable. Based on these results, we conjecture that all spiders are 0-rotatable and raise the more general question whether all symmetric rooted trees are 0-rotatable.",
            "authors": [],
            "published": "2023-12-25",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-shake-slice-implies-slice",
            "arxiv_id": "2012.11176",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2012.11176v2",
            "url_pdf": "https://arxiv.org/pdf/2012.11176v2.pdf",
            "title": "$0$-Shake Slice Implies Slice",
            "abstract": "Here, we prove that $0-$shake slice knots are slice.",
            "authors": [],
            "published": "2020-12-21",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-shake-slice-knots-are-slice",
            "arxiv_id": "2104.00247",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/2104.00247v2",
            "url_pdf": "https://arxiv.org/pdf/2104.00247v2.pdf",
            "title": "0-Shake Slice Knots are Slice",
            "abstract": "A proof that $0-$shake slice knots are slice.",
            "authors": [],
            "published": "2021-04-01",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-step-capturability-motion-decomposition-and",
            "arxiv_id": "1912.06078",
            "nips_id": null,
            "url_abs": "https://arxiv.org/abs/1912.06078v1",
            "url_pdf": "https://arxiv.org/pdf/1912.06078v1.pdf",
            "title": "0-Step Capturability, Motion Decomposition and Global Feedback Control of the 3D Variable Height-Inverted Pendulum",
            "abstract": "One common method for stabilizing robots after a push is the Instantaneous Capture Point, however, this has the fundamental limitation of assuming constant height. Although there are several works for balancing bipedal robots including height variations in 2D, the amount of literature on 3D models is limited. There are optimization methods using variable Center of Pressure (CoP) and reaction force to the ground, although they do not provide the physical region where a robot can step and require a precomputation for the analysis. This work provides the necessary and sufficient conditions to maintain balance of the 3D Variable Height Inverted Pendulum (VHIP) with both, fixed and variable CoP. We also prove that the 3D VHIP with Fixed CoP is the same as its 2D version, and we generalize controllers working on the 2D VHIP to the 3D VHIP. We also show the generalization of the Divergent Component of Motion to the 3D VHIP and we provide an alternative motion decomposition for the analysis of height and CoP strategies independently. This allow us to generalize previous global feedback controllers done in the 2D VHIP to the 3D VHIP with a Variable CoP.",
            "authors": [
                "Robert Griffin",
                "Jerry Pratt",
                "Gabriel Garcia"
            ],
            "published": "2019-12-12",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-tetraquark-states-from-improved-qcd-sum",
            "arxiv_id": "1705.03741",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1705.03741v2",
            "url_pdf": "http://arxiv.org/pdf/1705.03741v2.pdf",
            "title": "$0^{+}$ tetraquark states from improved QCD sum rules: delving into $X(5568)$",
            "abstract": "In order to investigate the possibility of the recently observed $X(5568)$\nbeing a $0^{+}$ tetraquark state, we make an improvement to the study of the\nrelated various configuration states in the framework of the QCD sum rules.\nParticularly, to ensure the quality of the analysis, condensates up to\ndimension $12$ are included to inspect the convergence of operator product\nexpansion (OPE) and improve the final results of the studied states. We note\nthat some condensate contributions could play an important role on the OPE\nside. By releasing the rigid OPE convergence criterion, we arrive at the\nnumerical value $5.57^{+0.35}_{-0.23}~\\mbox{GeV}$ for the scalar-scalar\ndiquark-antidiquark $0^{+}$ state, which agrees with the experimental data for\nthe $X(5568)$ and could support its interpretation in terms of a $0^{+}$\ntetraquark state with the scalar-scalar configuration. The corresponding result\nfor the axial-axial current is calculated to be\n$5.77^{+0.44}_{-0.33}~\\mbox{GeV}$, which is still consistent with the mass of\n$X(5568)$ in view of the uncertainty. The feasibility of $X(5568)$ being a\ntetraquark state with the axial-axial configuration therefore cannot be\ndefinitely excluded. For the pseudoscalar-pseudoscalar and the vector-vector\ncases, their unsatisfactory OPE convergence make it difficult to find\nreasonable work windows to extract the hadronic information.",
            "authors": [],
            "published": "2018-01-27",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        },
        {
            "id": "0-th-order-pseudo-differential-operator-on",
            "arxiv_id": "1909.06316",
            "nips_id": null,
            "url_abs": "http://arxiv.org/abs/1909.06316v1",
            "url_pdf": "http://arxiv.org/pdf/1909.06316v1.pdf",
            "title": "0-th Order Pseudo-differential Operator on the Circle",
            "abstract": "In this paper we consider 0-th order pseudodifferential operators on the\ncircle. We show that inside any interval disjoint from critical values of the\nprincipal symbol, the spectrum is absolutely continuous with possibly finitely\nmany embedded eigenvalues. We also give an example of embedded eigenvalues.",
            "authors": [],
            "published": "2019-09-13",
            "conference": null,
            "conference_url_abs": null,
            "conference_url_pdf": null,
            "proceeding": null
        }
    ]
}