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The Gaussian graphical model is routinely employed to model the joint distribution of multiple random variables. The graph it induces is not only useful for describing the relationship between random variables but also critical for…

统计方法学 · 统计学 2022-12-15 Thien-Minh Le , Ping-Shou Zhong , Chenlei Leng

We present an algorithm for testing halfspaces over arbitrary, unknown rotation-invariant distributions. Using $\tilde O(\sqrt{n}\epsilon^{-7})$ random examples of an unknown function $f$, the algorithm determines with high probability…

数据结构与算法 · 计算机科学 2018-11-02 Nathaniel Harms

Detecting out-of-distribution (OOD) inputs is critical for safely deploying deep learning models in the real world. Existing approaches for detecting OOD examples work well when evaluated on benign in-distribution and OOD samples. However,…

机器学习 · 计算机科学 2021-12-10 Jiefeng Chen , Yixuan Li , Xi Wu , Yingyu Liang , Somesh Jha

We consider controlling the false discovery rate for testing many time series with an unknown cross-sectional correlation structure. Given a large number of hypotheses, false and missing discoveries can plague an analysis. While many…

统计方法学 · 统计学 2021-06-10 Junpei Komiyama , Masaya Abe , Kei Nakagawa , Kenichiro McAlinn

We obtain estimation error rates for estimators obtained by aggregation of regularized median-of-means tests, following a construction of Le Cam. The results hold with exponentially large probability -- as in the gaussian framework with…

统计理论 · 数学 2017-07-19 Lecué Guillaume , Lerasle Matthieu

Sparse training has emerged as a promising method for resource-efficient deep neural networks (DNNs) in real-world applications. However, the reliability of sparse models remains a crucial concern, particularly in detecting unknown…

机器学习 · 计算机科学 2024-04-01 Bowen Lei , Dongkuan Xu , Ruqi Zhang , Bani Mallick

For decades, forensic statisticians have debated whether searching large DNA databases undermines the evidential value of a match. Modern surveillance faces an exponentially harder problem: screening populations across thousands of…

统计方法学 · 统计学 2025-12-29 Marco Pollanen

Out-of-distribution (OOD) testing is increasingly popular for evaluating a machine learning system's ability to generalize beyond the biases of a training set. OOD benchmarks are designed to present a different joint distribution of data…

计算机视觉与模式识别 · 计算机科学 2020-05-20 Damien Teney , Kushal Kafle , Robik Shrestha , Ehsan Abbasnejad , Christopher Kanan , Anton van den Hengel

Equivalence testing, a fundamental problem in the field of distribution testing, seeks to infer if two unknown distributions on $[n]$ are the same or far apart in the total variation distance. Conditional sampling has emerged as a powerful…

数据结构与算法 · 计算机科学 2024-03-08 Diptarka Chakraborty , Sourav Chakraborty , Gunjan Kumar , Kuldeep S. Meel

The mitigation of false positives is an important issue when conducting multiple hypothesis testing. The most popular paradigm for false positives mitigation in high-dimensional applications is via the control of the false discovery rate…

统计方法学 · 统计学 2018-07-17 Hien D. Nguyen , Yohan Yee , Geoffrey J. McLachlan , Jason P. Lerch

Testing composite null hypotheses arises in various applications, such as mediation and replicability analyses. The problem becomes more challenging in high-throughput experiments where tens of thousands of features are examined…

统计方法学 · 统计学 2025-04-29 Pengfei Lyu , Xianyang Zhang , Hongyuan Cao

The statistics and machine learning communities have recently seen a growing interest in classification-based approaches to two-sample testing. The outcome of a classification-based two-sample test remains a rejection decision, which is not…

统计理论 · 数学 2022-11-15 Loris Michel , Jeffrey Näf , Nicolai Meinshausen

Controlling the False Discovery Rate (FDR) in a variable selection procedure is critical for reproducible discoveries, and it has been extensively studied in sparse linear models. However, it remains largely open in scenarios where the…

统计方法学 · 统计学 2023-11-16 Yang Cao , Xinwei Sun , Yuan Yao

We describe an embarrassingly parallel, anytime Monte Carlo method for likelihood-free models. The algorithm starts with the view that the stochasticity of the pseudo-samples generated by the simulator can be controlled externally by a…

机器学习 · 计算机科学 2015-12-03 Edward Meeds , Max Welling

We propose novel kernel-based tests for assessing the equivalence between distributions. Traditional goodness-of-fit testing is inappropriate for concluding the absence of distributional differences, because failure to reject the null…

机器学习 · 统计学 2026-03-17 Xing Liu , Axel Gandy

This paper establishes non-asymptotic oracle inequalities for the prediction error and estimation accuracy of the LASSO in stationary vector autoregressive models. These inequalities are used to establish consistency of the LASSO even when…

统计理论 · 数学 2014-05-16 Anders Bredahl Kock , Laurent A. F. Callot

Out-of-distribution (OOD) detection is essential for the reliability of ML models. Most existing methods for OOD detection learn a fixed decision criterion from a given in-distribution dataset and apply it universally to decide if a data…

机器学习 · 计算机科学 2023-11-29 YiFan Zhang , Xue Wang , Tian Zhou , Kun Yuan , Zhang Zhang , Liang Wang , Rong Jin , Tieniu Tan

Hypothesis testing results often rely on simple, yet important assumptions about the behaviour of the distribution of p-values under the null and the alternative. We examine tests for one dimensional parameters of interest that converge to…

统计理论 · 数学 2021-08-06 Yanbo Tang , Radu Craiu , Lei Sun

We show that, under a standard hardness assumption, there is no computationally efficient algorithm that given $n$ samples from an unknown distribution can give valid answers to $n^{3+o(1)}$ adaptively chosen statistical queries. A…

机器学习 · 计算机科学 2014-08-08 Moritz Hardt , Jonathan Ullman

This work considers the out-of-distribution (OOD) prediction problem where (1)~the training data are from multiple domains and (2)~the test domain is unseen in the training. DNNs fail in OOD prediction because they are prone to pick up…

机器学习 · 计算机科学 2021-02-24 Ruocheng Guo , Pengchuan Zhang , Hao Liu , Emre Kiciman