Search Results for author: Wojciech Szpankowski

Found 16 papers, 1 papers with code

Efficient Gradient Estimation of Variational Quantum Circuits with Lie Algebraic Symmetries

no code implementations7 Apr 2024 Mohsen Heidari, Masih Mozakka, Wojciech Szpankowski

Hybrid quantum-classical optimization and learning strategies are among the most promising approaches to harnessing quantum information or gaining a quantum advantage over classical methods.

Online Distribution Learning with Local Private Constraints

no code implementations1 Feb 2024 Jin Sima, Changlong Wu, Olgica Milenkovic, Wojciech Szpankowski

We study the problem of online conditional distribution estimation with \emph{unbounded} label sets under local differential privacy.

Oracle-Efficient Hybrid Online Learning with Unknown Distribution

no code implementations27 Jan 2024 Changlong Wu, Jin Sima, Wojciech Szpankowski

We study the problem of oracle-efficient hybrid online learning when the features are generated by an unknown i. i. d.

Quantum Shadow Gradient Descent for Quantum Learning

no code implementations10 Oct 2023 Mohsen Heidari, Mobasshir A Naved, WenBo Xie, Arjun Jacob Grama, Wojciech Szpankowski

We propose a new technique for generating quantum shadow samples (QSS), which generates quantum shadows as opposed to classical shadows used in existing works.

Agnostic PAC Learning of k-juntas Using L2-Polynomial Regression

no code implementations8 Mar 2023 Mohsen Heidari, Wojciech Szpankowski

We derive an elegant upper bound on the 0-1 loss in terms of the MMSE error and show that the sign of the MMSE is a PAC learner for any concept class containing it.

Computational Efficiency PAC learning +1

Online Learning in Dynamically Changing Environments

no code implementations31 Jan 2023 Changlong Wu, Ananth Grama, Wojciech Szpankowski

We study the problem of online learning and online regret minimization when samples are drawn from a general unknown non-stationary process.

Expected Worst Case Regret via Stochastic Sequential Covering

no code implementations9 Sep 2022 Changlong Wu, Mohsen Heidari, Ananth Grama, Wojciech Szpankowski

We show that for a hypothesis class of VC-dimension $\mathsf{VC}$ and $i. i. d.$ generated features of length $T$, the cardinality of the stochastic global sequential covering can be upper bounded with high probability (whp) by $e^{O(\mathsf{VC} \cdot \log^2 T)}$.

Precise Regret Bounds for Log-loss via a Truncated Bayesian Algorithm

no code implementations7 May 2022 Changlong Wu, Mohsen Heidari, Ananth Grama, Wojciech Szpankowski

We study the sequential general online regression, known also as the sequential probability assignments, under logarithmic loss when compared against a broad class of experts.

Toward Physically Realizable Quantum Neural Networks

no code implementations22 Mar 2022 Mohsen Heidari, Ananth Grama, Wojciech Szpankowski

Current solutions for QNNs pose significant challenges concerning their scalability, ensuring that the postulates of quantum mechanics are satisfied and that the networks are physically realizable.

On Agnostic PAC Learning using $\mathcal{L}_2$-polynomial Regression and Fourier-based Algorithms

no code implementations11 Feb 2021 Mohsen Heidari, Wojciech Szpankowski

We develop a framework using Hilbert spaces as a proxy to analyze PAC learning problems with structural properties.

PAC learning regression

Learning k-qubit Quantum Operators via Pauli Decomposition

no code implementations10 Feb 2021 Mohsen Heidari, Wojciech Szpankowski

Our approach is based on the Pauli decomposition of quantum operators and a technique that we name Quantum Shadow Sampling (QSS) to reduce the sample complexity exponentially.

Quantum Physics Data Structures and Algorithms

Low Complexity Approximate Bayesian Logistic Regression for Sparse Online Learning

no code implementations28 Jan 2021 Gil I. Shamir, Wojciech Szpankowski

Various approximations that, for huge sparse feature sets, diminish the theoretical advantages, must be used.

regression Variational Inference

On maximum-likelihood estimation in the all-or-nothing regime

no code implementations25 Jan 2021 Luca Corinzia, Paolo Penna, Wojciech Szpankowski, Joachim M. Buhmann

The result follows from two main technical points: (i) the connection established between the MLE and the MMSE, using the first and second-moment methods in the constrained signal space, (ii) a recovery regime for the MMSE stricter than the simple error vanishing characterization given in the standard AoN, that is here proved as a general result.

Statistical and computational thresholds for the planted $k$-densest sub-hypergraph problem

no code implementations23 Nov 2020 Luca Corinzia, Paolo Penna, Wojciech Szpankowski, Joachim M. Buhmann

In this work, we consider the problem of recovery a planted $k$-densest sub-hypergraph on $d$-uniform hypergraphs.

Community Detection

Temporal Ordered Clustering in Dynamic Networks: Unsupervised and Semi-supervised Learning Algorithms

1 code implementation2 May 2019 Krzysztof Turowski, Jithin K. Sreedharan, Wojciech Szpankowski

In temporal ordered clustering, given a single snapshot of a dynamic network in which nodes arrive at distinct time instants, we aim at partitioning its nodes into $K$ ordered clusters $\mathcal{C}_1 \prec \cdots \prec \mathcal{C}_K$ such that for $i<j$, nodes in cluster $\mathcal{C}_i$ arrived before nodes in cluster $\mathcal{C}_j$, with $K$ being a data-driven parameter and not known upfront.

Clustering

Toward Universal Testing of Dynamic Network Models

no code implementations6 Apr 2019 Abram Magner, Wojciech Szpankowski

Numerous networks in the real world change over time, in the sense that nodes and edges enter and leave the networks.

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