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We derive an (almost) guaranteed upper bound on the error of deep neural networks under distribution shift using unlabeled test data. Prior methods either give bounds that are vacuous in practice or give estimates that are accurate on…

机器学习 · 统计学 2023-06-02 Elan Rosenfeld , Saurabh Garg

We consider training and testing on mixture distributions with different training and test proportions. We show that in many settings, and in some sense generically, distribution shift can be beneficial, and test performance can improve due…

机器学习 · 计算机科学 2025-11-11 Marko Medvedev , Kaifeng Lyu , Zhiyuan Li , Nathan Srebro

In statistical classification/multiple hypothesis testing and machine learning, a model distribution estimated from the training data is usually applied to replace the unknown true distribution in the Bayes decision rule, which introduces a…

信息论 · 计算机科学 2024-09-24 Zijian Yang , Vahe Eminyan , Ralf Schlüter , Hermann Ney

Let $A_1, A_2, \ldots, A_n$ be events in a sample space. Given the probability of the intersection of each collection of up to $k+1$ of these events, what can we say about the probability that at least $r$ of the events occur? This question…

组合数学 · 数学 2025-05-20 Ilan Adler , Richard M. Karp , Sheldon M. Ross

In large scale genetic association studies, a primary aim is to test for association between genetic variants and a disease outcome. The variants of interest are often rare, and appear with low frequency among subjects. In this situation,…

统计方法学 · 统计学 2017-12-20 Arjun Sondhi , Kenneth Martin Rice

Binary classification involves predicting the label of an instance based on whether the model score for the positive class exceeds a threshold chosen based on the application requirements (e.g., maximizing recall for a precision bound).…

机器学习 · 计算机科学 2023-11-21 Gundeep Arora , Srujana Merugu , Anoop Saladi , Rajeev Rastogi

We theoretically analyse the limits of robustness to test-time adversarial and noisy examples in classification. Our work focuses on deriving bounds which uniformly apply to all classifiers (i.e all measurable functions from features to…

机器学习 · 统计学 2020-11-13 Elvis Dohmatob

Coherent lower previsions are general probabilistic models allowing incompletely specified probability distributions. However, for complete description of a coherent lower prevision -- even on finite underlying sample spaces -- an infinite…

概率论 · 数学 2022-09-29 Damjan Škulj

In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the $F_\beta$ score, area under the precision-recall curve, Precision…

机器学习 · 计算机科学 2018-03-02 Alan Mackey , Xiyang Luo , Elad Eban

Minimizing expected loss measured by a proper scoring rule, such as Brier score or log-loss (cross-entropy), is a common objective while training a probabilistic classifier. If the data have experienced dataset shift where the class…

机器学习 · 计算机科学 2021-11-05 Theodore James Thibault Heiser , Mari-Liis Allikivi , Meelis Kull

We present a novel analysis of the expected risk of weighted majority vote in multiclass classification. The analysis takes correlation of predictions by ensemble members into account and provides a bound that is amenable to efficient…

机器学习 · 计算机科学 2020-12-18 Andrés R. Masegosa , Stephan S. Lorenzen , Christian Igel , Yevgeny Seldin

We study the problem of learning classifiers that perform well across (known or unknown) groups of data. After observing that common worst-group-accuracy datasets suffer from substantial imbalances, we set out to compare state-of-the-art…

机器学习 · 计算机科学 2022-02-21 Badr Youbi Idrissi , Martin Arjovsky , Mohammad Pezeshki , David Lopez-Paz

Generalizations to the permutation test are introduced to allow for situations in which the null model is not exchangeable. It is shown that the generalized permutation tests are exact, and a partial converse: that any test function that is…

统计方法学 · 统计学 2018-09-03 Jeffrey Roach , William Valdar

Learning the minimum/maximum mean among a finite set of distributions is a fundamental sub-task in planning, game tree search and reinforcement learning. We formalize this learning task as the problem of sequentially testing how the minimum…

机器学习 · 统计学 2018-06-05 Emilie Kaufmann , Wouter Koolen , Aurelien Garivier

Measuring the effect of peers on individuals' outcomes is a challenging problem, in part because individuals often select peers who are similar in both observable and unobservable ways. Group formation experiments avoid this problem by…

统计方法学 · 统计学 2023-03-09 Guillaume Basse , Peng Ding , Avi Feller , Panos Toulis

This paper considers a distributionally robust chance constraint model with a general ambiguity set. We show that a sample based approximation of this model converges under suitable sufficient conditions. We also show that upper and lower…

最优化与控制 · 数学 2025-01-17 Jiaqi Lei , Sanjay Mehrotra

With model trustworthiness being crucial for sensitive real-world applications, practitioners are putting more and more focus on improving the uncertainty calibration of deep neural networks. Calibration errors are designed to quantify the…

机器学习 · 计算机科学 2024-03-14 Sebastian G. Gruber , Florian Buettner

Transformation-based learning has been successfully employed to solve many natural language processing problems. It has many positive features, but one drawback is that it does not provide estimates of class membership probabilities. In…

计算与语言 · 计算机科学 2007-05-23 Radu Florian , John C. Henderson , Grace Ngai

In this article we consider the problem of choosing an optimal sampling scheme for the regression problem simultaneously with that of model selection. We consider a batch type approach and an on-line approach following algorithms recently…

统计理论 · 数学 2018-01-30 Ana Karina Fermin , Carenne Ludeña

Model attribution is a critical component of deep neural networks (DNNs) for its interpretability to complex models. Recent studies bring up attention to the security of attribution methods as they are vulnerable to attribution attacks that…

机器学习 · 计算机科学 2023-03-02 Fan Wang , Adams Wai-Kin Kong