Search Results for author: Ameya Velingker

Found 13 papers, 2 papers with code

Exphormer: Sparse Transformers for Graphs

1 code implementation10 Mar 2023 Hamed Shirzad, Ameya Velingker, Balaji Venkatachalam, Danica J. Sutherland, Ali Kemal Sinop

We show that incorporating Exphormer into the recently-proposed GraphGPS framework produces models with competitive empirical results on a wide variety of graph datasets, including state-of-the-art results on three datasets.

Graph Classification Graph Learning +3

Oblivious Sketching of High-Degree Polynomial Kernels

1 code implementation3 Sep 2019 Thomas D. Ahle, Michael Kapralov, Jakob B. T. Knudsen, Rasmus Pagh, Ameya Velingker, David Woodruff, Amir Zandieh

Oblivious sketching has emerged as a powerful approach to speeding up numerical linear algebra over the past decade, but our understanding of oblivious sketching solutions for kernel matrices has remained quite limited, suffering from the aforementioned exponential dependence on input parameters.

Data Structures and Algorithms

Random Fourier Features for Kernel Ridge Regression: Approximation Bounds and Statistical Guarantees

no code implementations ICML 2017 Haim Avron, Michael Kapralov, Cameron Musco, Christopher Musco, Ameya Velingker, Amir Zandieh

Qualitatively, our results are twofold: on the one hand, we show that random Fourier feature approximation can provably speed up kernel ridge regression under reasonable assumptions.

regression

A Universal Sampling Method for Reconstructing Signals with Simple Fourier Transforms

no code implementations20 Dec 2018 Haim Avron, Michael Kapralov, Cameron Musco, Christopher Musco, Ameya Velingker, Amir Zandieh

We formalize this intuition by showing that, roughly, a continuous signal from a given class can be approximately reconstructed using a number of samples proportional to the *statistical dimension* of the allowed power spectrum of that class.

Scalable and Differentially Private Distributed Aggregation in the Shuffled Model

no code implementations19 Jun 2019 Badih Ghazi, Rasmus Pagh, Ameya Velingker

Federated learning promises to make machine learning feasible on distributed, private datasets by implementing gradient descent using secure aggregation methods.

Federated Learning Privacy Preserving

On the Power of Multiple Anonymous Messages

no code implementations29 Aug 2019 Badih Ghazi, Noah Golowich, Ravi Kumar, Rasmus Pagh, Ameya Velingker

- Protocols in the multi-message shuffled model with $poly(\log{B}, \log{n})$ bits of communication per user and $poly\log{B}$ error, which provide an exponential improvement on the error compared to what is possible with single-message algorithms.

Private Aggregation from Fewer Anonymous Messages

no code implementations24 Sep 2019 Badih Ghazi, Pasin Manurangsi, Rasmus Pagh, Ameya Velingker

Using a reduction of Balle et al. (2019), our improved analysis of the protocol of Ishai et al. yields, in the same model, an $\left(\varepsilon, \delta\right)$-differentially private protocol for aggregation that, for any constant $\varepsilon > 0$ and any $\delta = \frac{1}{\mathrm{poly}(n)}$, incurs only a constant error and requires only a constant number of messages per party.

Cryptography and Security Data Structures and Algorithms

Scaling up Kernel Ridge Regression via Locality Sensitive Hashing

no code implementations21 Mar 2020 Michael Kapralov, Navid Nouri, Ilya Razenshteyn, Ameya Velingker, Amir Zandieh

Random binning features, introduced in the seminal paper of Rahimi and Recht (2007), are an efficient method for approximating a kernel matrix using locality sensitive hashing.

Gaussian Processes regression

Robust Learning for Congestion-Aware Routing

no code implementations1 Jan 2021 Sreenivas Gollapudi, Kostas Kollias, Benjamin Plaut, Ameya Velingker

We consider the problem of routing users through a network with unknown congestion functions over an infinite time horizon.

valid

Private Robust Estimation by Stabilizing Convex Relaxations

no code implementations7 Dec 2021 Pravesh K. Kothari, Pasin Manurangsi, Ameya Velingker

Prior works obtained private robust algorithms for mean estimation of subgaussian distributions with bounded covariance.

Fast $(1+\varepsilon)$-Approximation Algorithms for Binary Matrix Factorization

no code implementations2 Jun 2023 Ameya Velingker, Maximilian Vötsch, David P. Woodruff, Samson Zhou

We introduce efficient $(1+\varepsilon)$-approximation algorithms for the binary matrix factorization (BMF) problem, where the inputs are a matrix $\mathbf{A}\in\{0, 1\}^{n\times d}$, a rank parameter $k>0$, as well as an accuracy parameter $\varepsilon>0$, and the goal is to approximate $\mathbf{A}$ as a product of low-rank factors $\mathbf{U}\in\{0, 1\}^{n\times k}$ and $\mathbf{V}\in\{0, 1\}^{k\times d}$.

Locality-Aware Graph-Rewiring in GNNs

no code implementations2 Oct 2023 Federico Barbero, Ameya Velingker, Amin Saberi, Michael Bronstein, Francesco Di Giovanni

Graph Neural Networks (GNNs) are popular models for machine learning on graphs that typically follow the message-passing paradigm, whereby the feature of a node is updated recursively upon aggregating information over its neighbors.

Inductive Bias

Weisfeiler-Leman at the margin: When more expressivity matters

no code implementations12 Feb 2024 Billy J. Franks, Christopher Morris, Ameya Velingker, Floris Geerts

Moreover, we focus on augmenting $1$-WL and MPNNs with subgraph information and employ classical margin theory to investigate the conditions under which an architecture's increased expressivity aligns with improved generalization performance.

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