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Empirical risk minimization (ERM) is the workhorse of machine learning, whether for classification and regression or for off-policy policy learning, but its model-agnostic guarantees can fail when we use adaptively collected data, such as…

Machine Learning · Statistics 2021-06-04 Aurélien Bibaut , Antoine Chambaz , Maria Dimakopoulou , Nathan Kallus , Mark van der Laan

We study the minimal error of the Empirical Risk Minimization (ERM) procedure in the task of regression, both in the random and the fixed design settings. Our sharp lower bounds shed light on the possibility (or impossibility) of adapting…

Statistics Theory · Mathematics 2021-02-25 Gil Kur , Alexander Rakhlin

Model compression is crucial for deployment of neural networks on devices with limited computational and memory resources. Many different methods show comparable accuracy of the compressed model and similar compression rates. However, the…

Machine Learning · Computer Science 2020-08-21 Ben Mussay , Daniel Feldman , Samson Zhou , Vladimir Braverman , Margarita Osadchy

Previous work showed empirically that large neural networks can be significantly reduced in size while preserving their accuracy. Model compression became a central research topic, as it is crucial for deployment of neural networks on…

Machine Learning · Computer Science 2020-01-06 Ben Mussay , Margarita Osadchy , Vladimir Braverman , Samson Zhou , Dan Feldman

Accurate coresets are a weighted subset of the original dataset, ensuring a model trained on the accurate coreset maintains the same level of accuracy as a model trained on the full dataset. Primarily, these coresets have been studied for a…

Machine Learning · Computer Science 2024-12-31 Sanskar Ranjan , Supratim Shit

Differential privacy has become a cornerstone in the development of privacy-preserving learning algorithms. This work addresses optimizing differentially private kernel learning within the empirical risk minimization (ERM) framework. We…

Machine Learning · Statistics 2026-04-30 Bonwoo Lee , Cheolwoo Park , Jeongyoun Ahn

We consider the problem of model selection type aggregation in the context of density estimation. We first show that empirical risk minimization is sub-optimal for this problem and it shares this property with the exponential weights…

Statistics Theory · Mathematics 2016-09-29 Pierre C. Bellec

Optimizing machine learning algorithms that are used to solve the objective function has been of great interest. Several approaches to optimize common algorithms, such as gradient descent and stochastic gradient descent, were explored. One…

Machine Learning · Computer Science 2022-10-06 Hilal AlQuabeh , Farha AlBreiki , Dilshod Azizov

Coreset, which is a summary of the original dataset in the form of a small weighted set in the same sample space, provides a promising approach to enable machine learning over distributed data. Although viewed as a proxy of the original…

Machine Learning · Computer Science 2020-06-24 Hanlin Lu , Ming-Ju Li , Ting He , Shiqiang Wang , Vijaykrishnan Narayanan , Kevin S Chan

Neural networks are vulnerable to adversarial attacks: adding well-crafted, imperceptible perturbations to their input can modify their output. Adversarial training is one of the most effective approaches to training robust models against…

Machine Learning · Computer Science 2023-08-09 Hadi M. Dolatabadi , Sarah Erfani , Christopher Leckie

In the era of data-centric AI, the ability to curate high-quality training data is as crucial as model design. Coresets offer a principled approach to data reduction, enabling efficient learning on large datasets through importance…

Machine Learning · Computer Science 2025-07-23 Morad Tukan , Loay Mualem , Eitan Netzer , Liran Sigalat

Coreset of a given dataset and loss function is usually a small weighed set that approximates this loss for every query from a given set of queries. Coresets have shown to be very useful in many applications. However, coresets construction…

Machine Learning · Computer Science 2021-11-05 Alaa Maalouf , Gilad Eini , Ben Mussay , Dan Feldman , Margarita Osadchy

Maximum consensus estimation plays a critically important role in robust fitting problems in computer vision. Currently, the most prevalent algorithms for consensus maximization draw from the class of randomized hypothesize-and-verify…

Computer Vision and Pattern Recognition · Computer Science 2018-10-24 Huu Le , Tat-Jun Chin , Anders Eriksson , Thanh-Toan Do , David Suter

We present an efficient coresets-based neural network compression algorithm that sparsifies the parameters of a trained fully-connected neural network in a manner that provably approximates the network's output. Our approach is based on an…

Machine Learning · Computer Science 2019-05-21 Cenk Baykal , Lucas Liebenwein , Igor Gilitschenski , Dan Feldman , Daniela Rus

Unsupervised anomaly detection (AD) is a challenging task in realistic applications. Recently, there is an increasing trend to detect anomalies with deep neural networks (DNN). However, most popular deep AD detectors cannot protect the…

Machine Learning · Computer Science 2022-05-31 Shaoshen Wang , Yanbin Liu , Ling Chen , Chengqi Zhang

Coreset selection is powerful in reducing computational costs and accelerating data processing for deep learning algorithms. It strives to identify a small subset from large-scale data, so that training only on the subset practically…

Machine Learning · Computer Science 2024-03-01 Xiaobo Xia , Jiale Liu , Shaokun Zhang , Qingyun Wu , Hongxin Wei , Tongliang Liu

We develop approximation algorithms for set-selection problems with deterministic constraints, but random objective values, i.e., stochastic probing problems. When the goal is to maximize the objective, approximation algorithms for probing…

Data Structures and Algorithms · Computer Science 2021-11-04 Weina Wang , Anupam Gupta , Jalani Williams

Pruning is one of the predominant approaches for compressing deep neural networks (DNNs). Lately, coresets (provable data summarizations) were leveraged for pruning DNNs, adding the advantage of theoretical guarantees on the trade-off…

Machine Learning · Computer Science 2022-09-20 Murad Tukan , Loay Mualem , Alaa Maalouf

This paper studies empirical risk minimization (ERM) problems for large-scale datasets and incorporates the idea of adaptive sample size methods to improve the guaranteed convergence bounds for first-order stochastic and deterministic…

Machine Learning · Computer Science 2017-09-05 Aryan Mokhtari , Alejandro Ribeiro

Limiting failures of machine learning systems is of paramount importance for safety-critical applications. In order to improve the robustness of machine learning systems, Distributionally Robust Optimization (DRO) has been proposed as a…

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