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Random samples are lossy summaries which allow queries posed over the data to be approximated by applying an appropriate estimator to the sample. The effectiveness of sampling, however, hinges on estimator selection. The choice of…

Statistics Theory · Mathematics 2014-04-10 Edith Cohen

For scalable machine learning on large data sets, subsampling a representative subset is a common approach for efficient model training. This is often achieved through importance sampling, whereby informative data points are sampled more…

Cryptography and Security · Computer Science 2025-03-31 Dominik Fay , Sebastian Mair , Jens Sjölund

We develop techniques to quantify the degree to which a given (training or testing) example is an outlier in the underlying distribution. We evaluate five methods to score examples in a dataset by how well-represented the examples are, for…

Machine Learning · Computer Science 2019-10-30 Nicholas Carlini , Úlfar Erlingsson , Nicolas Papernot

We initiate a study of a new model of property testing that is a hybrid of testing properties of distributions and testing properties of strings. Specifically, the new model refers to testing properties of distributions, but these are…

Data Structures and Algorithms · Computer Science 2024-02-14 Oded Goldreich , Dana Ron

An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

Optimization and Control · Mathematics 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson

This paper is about models for a vector of probabilities whose elements must have a multiplicative structure and sum to 1 at the same time; in certain applications, as basket analysis, these models may be seen as a constrained version of…

Statistics Theory · Mathematics 2018-04-17 Antonio Forcina

We propose a method for combining probabilistic outputs of classifiers to make a single consensus class prediction when no further information about the individual classifiers is available, beyond that they have been trained for the same…

Machine Learning · Computer Science 2020-09-02 Jordan F. Masakuna , Simukai W. Utete , Steve Kroon

While large training datasets generally offer improvement in model performance, the training process becomes computationally expensive and time consuming. Distributed learning is a common strategy to reduce the overall training time by…

Machine Learning · Statistics 2021-10-22 Nicole Mücke , Enrico Reiss , Jonas Rungenhagen , Markus Klein

The Shapley value provides a principled framework for fairly distributing rewards among participants according to their individual contributions. While prior work has applied this concept to data valuation in machine learning, existing…

Computer Science and Game Theory · Computer Science 2026-01-22 Zhuofan Jia , Jian Pei

We propose a principal components regression method based on maximizing a joint pseudo-likelihood for responses and predictors. Our method uses both responses and predictors to select linear combinations of the predictors relevant for the…

Methodology · Statistics 2021-08-10 Karl Oskar Ekvall

We demonstrate that a popular class of nonparametric mutual information (MI) estimators based on k-nearest-neighbor graphs requires number of samples that scales exponentially with the true MI. Consequently, accurate estimation of MI…

Information Theory · Computer Science 2015-03-09 Shuyang Gao , Greg Ver Steeg , Aram Galstyan

Empirical risk minimization often performs poorly when the distribution of the target domain differs from those of source domains. To address such potential distribution shifts, we develop an unsupervised domain adaptation approach that…

Machine Learning · Statistics 2025-03-25 Zhenyu Wang , Peter Bühlmann , Zijian Guo

Datasets from the fields of bioinformatics, chemometrics, and face recognition are typically characterized by small samples of high-dimensional data. Among the many variants of linear discriminant analysis that have been proposed in order…

Machine Learning · Statistics 2020-04-20 Lama B. Niyazi , Abla Kammoun , Hayssam Dahrouj , Mohamed-Slim Alouini , Tareq Y. Al-Naffouri

As the size of modern data sets exceeds the disk and memory capacities of a single computer, machine learning practitioners have resorted to parallel and distributed computing. Given that optimization is one of the pillars of machine…

Machine Learning · Statistics 2019-12-10 Biyi Fang , Diego Klabjan

Ensembling has a long history in statistical data analysis, with many impactful applications. However, in many modern machine learning settings, the benefits of ensembling are less ubiquitous and less obvious. We study, both theoretically…

Machine Learning · Statistics 2023-05-23 Ryan Theisen , Hyunsuk Kim , Yaoqing Yang , Liam Hodgkinson , Michael W. Mahoney

Supervised distributional methods are applied successfully in lexical entailment, but recent work questioned whether these methods actually learn a relation between two words. Specifically, Levy et al. (2015) claimed that linear classifiers…

Computation and Language · Computer Science 2018-04-25 Tu Vu , Vered Shwartz

When the competing classes in a classification problem are not of comparable size, many popular classifiers exhibit a bias towards larger classes, and the nearest neighbor classifier is no exception. To take care of this problem, we develop…

Methodology · Statistics 2023-11-02 Anvit Garg , Anil K. Ghosh , Soham Sarkar

We study stochastic programs where the decision-maker cannot observe the distribution of the exogenous uncertainties but has access to a finite set of independent samples from this distribution. In this setting, the goal is to find a…

Optimization and Control · Mathematics 2019-12-24 Bart P. G. Van Parys , Peyman Mohajerin Esfahani , Daniel Kuhn

We initiate a thorough study of \emph{distributed property testing} -- producing algorithms for the approximation problems of property testing in the CONGEST model. In particular, for the so-called \emph{dense} testing model we emulate…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-03 Keren Censor-Hillel , Eldar Fischer , Gregory Schwartzman , Yadu Vasudev

Diffusion models have been remarkably successful in data synthesis. However, when these models are applied to sensitive datasets, such as banking and human face data, they might bring up severe privacy concerns. This work systematically…

Cryptography and Security · Computer Science 2024-04-30 Hailong Hu , Jun Pang