Search Results for author: Abhishek Shetty

Found 15 papers, 1 papers with code

Tolerant Algorithms for Learning with Arbitrary Covariate Shift

no code implementations4 Jun 2024 Surbhi Goel, Abhishek Shetty, Konstantinos Stavropoulos, Arsen Vasilyan

We study the problem of learning under arbitrary distribution shift, where the learner is trained on a labeled set from one distribution but evaluated on a different, potentially adversarially generated test distribution.

On the Performance of Empirical Risk Minimization with Smoothed Data

no code implementations22 Feb 2024 Adam Block, Alexander Rakhlin, Abhishek Shetty

In order to circumvent statistical and computational hardness results in sequential decision-making, recent work has considered smoothed online learning, where the distribution of data at each time is assumed to have bounded likeliehood ratio with respect to a base measure when conditioned on the history.

Decision Making Sequential Decision Making

Oracle-Efficient Differentially Private Learning with Public Data

no code implementations13 Feb 2024 Adam Block, Mark Bun, Rathin Desai, Abhishek Shetty, Steven Wu

Due to statistical lower bounds on the learnability of many function classes under privacy constraints, there has been recent interest in leveraging public data to improve the performance of private learning algorithms.

Binary Classification Computational Efficiency

Omnipredictors for Regression and the Approximate Rank of Convex Functions

no code implementations26 Jan 2024 Parikshit Gopalan, Princewill Okoroafor, Prasad Raghavendra, Abhishek Shetty, Mihir Singhal

An \textit{omnipredictor} for a class $\mathcal L$ of loss functions and a class $\mathcal C$ of hypotheses is a predictor whose predictions incur less expected loss than the best hypothesis in $\mathcal C$ for every loss in $\mathcal L$.

regression

Smooth Nash Equilibria: Algorithms and Complexity

no code implementations21 Sep 2023 Constantinos Daskalakis, Noah Golowich, Nika Haghtalab, Abhishek Shetty

We show that both weak and strong $\sigma$-smooth Nash equilibria have superior computational properties to Nash equilibria: when $\sigma$ as well as an approximation parameter $\epsilon$ and the number of players are all constants, there is a constant-time randomized algorithm to find a weak $\epsilon$-approximate $\sigma$-smooth Nash equilibrium in normal-form games.

Adversarial Resilience in Sequential Prediction via Abstention

no code implementations NeurIPS 2023 Surbhi Goel, Steve Hanneke, Shay Moran, Abhishek Shetty

We study the problem of sequential prediction in the stochastic setting with an adversary that is allowed to inject clean-label adversarial (or out-of-distribution) examples.

Optimal PAC Bounds Without Uniform Convergence

no code implementations18 Apr 2023 Ishaq Aden-Ali, Yeshwanth Cherapanamjeri, Abhishek Shetty, Nikita Zhivotovskiy

In this paper, we address this issue by providing optimal high probability risk bounds through a framework that surpasses the limitations of uniform convergence arguments.

Binary Classification Classification +1

The One-Inclusion Graph Algorithm is not Always Optimal

no code implementations19 Dec 2022 Ishaq Aden-Ali, Yeshwanth Cherapanamjeri, Abhishek Shetty, Nikita Zhivotovskiy

In one of the first COLT open problems, Warmuth conjectured that this prediction strategy always implies an optimal high probability bound on the risk, and hence is also an optimal PAC algorithm.

Oracle-Efficient Online Learning for Beyond Worst-Case Adversaries

no code implementations17 Feb 2022 Nika Haghtalab, Yanjun Han, Abhishek Shetty, Kunhe Yang

For the smoothed analysis setting, our results give the first oracle-efficient algorithm for online learning with smoothed adversaries [HRS22].

Transductive Learning

Distribution Compression in Near-linear Time

1 code implementation ICLR 2022 Abhishek Shetty, Raaz Dwivedi, Lester Mackey

Near-optimal thinning procedures achieve this goal by sampling $n$ points from a Markov chain and identifying $\sqrt{n}$ points with $\widetilde{\mathcal{O}}(1/\sqrt{n})$ discrepancy to $\mathbb{P}$.

Smoothed Analysis with Adaptive Adversaries

no code implementations16 Feb 2021 Nika Haghtalab, Tim Roughgarden, Abhishek Shetty

-Online discrepancy minimization: We consider the online Koml\'os problem, where the input is generated from an adaptive sequence of $\sigma$-smooth and isotropic distributions on the $\ell_2$ unit ball.

Smoothed Analysis of Online and Differentially Private Learning

no code implementations NeurIPS 2020 Nika Haghtalab, Tim Roughgarden, Abhishek Shetty

Practical and pervasive needs for robustness and privacy in algorithms have inspired the design of online adversarial and differentially private learning algorithms.

Effect of Activation Functions on the Training of Overparametrized Neural Nets

no code implementations ICLR 2020 Abhishek Panigrahi, Abhishek Shetty, Navin Goyal

In the present paper, we provide theoretical results about the effect of activation function on the training of highly overparametrized 2-layer neural networks.

Small Data Image Classification

Non-Gaussian Component Analysis using Entropy Methods

no code implementations13 Jul 2018 Navin Goyal, Abhishek Shetty

NGCA is also related to dimension reduction and to other data analysis problems such as ICA.

Dimensionality Reduction

Exponential Weights on the Hypercube in Polynomial Time

no code implementations12 Jun 2018 Sudeep Raja Putta, Abhishek Shetty

This problem is equivalent to OLO on the $\{0, 1\}^n$ hypercube.

Cannot find the paper you are looking for? You can Submit a new open access paper.