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An antithetical concept, adaptive symmetry, to conservative symmetry in physics is proposed to understand the deep neural networks (DNNs). It characterizes the invariance of variance, where a biotic system explores different pathways of…

Machine Learning · Computer Science 2022-01-21 Shawn W. M. Li

In this article, we propose a class of test statistics for a change point in the mean of high-dimensional independent data. Our test integrates the U-statistic based approach in a recent work by \cite{hdcp} and the $L_q$-norm based…

Methodology · Statistics 2021-02-01 Yangfan Zhang , Runmin Wang , Xiaofeng Shao

In this paper, we analyze and study a hybrid model for testing and learning probability distributions. Here, in addition to samples, the testing algorithm is provided with one of two different types of oracles to the unknown distribution…

Data Structures and Algorithms · Computer Science 2014-02-18 Clément Canonne , Ronitt Rubinfeld

The phenomenon of adversarial examples in deep learning models has caused substantial concern over their reliability. While many deep neural networks have shown impressive performance in terms of predictive accuracy, it has been shown that…

Machine Learning · Computer Science 2021-06-28 Sadia Chowdhury , Ruth Urner

Contemporary machine learning applications often involve classification tasks with many classes. Despite their extensive use, a precise understanding of the statistical properties and behavior of classification algorithms is still missing,…

Machine Learning · Computer Science 2020-11-17 Christos Thrampoulidis , Samet Oymak , Mahdi Soltanolkotabi

Probability density function estimation with weighted samples is the main foundation of all adaptive importance sampling algorithms. Classically, a target distribution is approximated either by a non-parametric model or within a parametric…

Machine Learning · Computer Science 2023-10-16 Julien Demange-Chryst , François Bachoc , Jérôme Morio , Timothé Krauth

In adaptive data analysis, a mechanism gets $n$ i.i.d. samples from an unknown distribution $D$, and is required to provide accurate estimations to a sequence of adaptively chosen statistical queries with respect to $D$. Hardt and Ullman…

Machine Learning · Computer Science 2023-11-07 Kobbi Nissim , Uri Stemmer , Eliad Tsfadia

In this work, we revisit the problem of uniformity testing of discrete probability distributions. A fundamental problem in distribution testing, testing uniformity over a known domain has been addressed over a significant line of works, and…

Data Structures and Algorithms · Computer Science 2017-08-17 Tuğkan Batu , Clément L. Canonne

In online learning from non-stationary data streams, it is necessary to learn robustly to outliers and to adapt quickly to changes in the underlying data generating mechanism. In this paper, we refer to the former attribute of online…

Machine Learning · Statistics 2021-09-29 Shintaro Fukushima , Atsushi Nitanda , Kenji Yamanishi

We theoretically explore the relationship between sample-efficiency and adaptivity in reinforcement learning. An algorithm is sample-efficient if it uses a number of queries $n$ to the environment that is polynomial in the dimension $d$ of…

Machine Learning · Computer Science 2024-05-29 Emmeran Johnson , Ciara Pike-Burke , Patrick Rebeschini

We examine the extent to which sublinear-sample property testing and estimation apply to settings where samples are independently but not identically distributed. Specifically, we consider the following distributional property testing…

Data Structures and Algorithms · Computer Science 2025-11-05 Shivam Garg , Chirag Pabbaraju , Kirankumar Shiragur , Gregory Valiant

Sampling is a fundamental problem in computer science and statistics. However, for a given task and stream, it is often not possible to choose good sampling probabilities in advance. We derive a general framework for adaptively changing the…

Machine Learning · Statistics 2022-06-16 Daniel Ting

We propose a neural hybrid model consisting of a linear model defined on a set of features computed by a deep, invertible transformation (i.e. a normalizing flow). An attractive property of our model is that both p(features), the density of…

Machine Learning · Computer Science 2019-05-30 Eric Nalisnick , Akihiro Matsukawa , Yee Whye Teh , Dilan Gorur , Balaji Lakshminarayanan

Most unsupervised anomaly detection methods based on representations of normal samples to distinguish anomalies have recently made remarkable progress. However, existing methods only learn a single decision boundary for distinguishing the…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Tianwu Lei , Silin Chen , Bohan Wang , Zhengkai Jiang , Ningmu Zou

Adversarial examples are a pervasive phenomenon of machine learning models where seemingly imperceptible perturbations to the input lead to misclassifications for otherwise statistically accurate models. In this paper we study how the…

Machine Learning · Computer Science 2020-02-11 Marc Khoury

While deep neural networks can attain good accuracy on in-distribution test points, many applications require robustness even in the face of unexpected perturbations in the input, changes in the domain, or other sources of distribution…

Machine Learning · Computer Science 2022-10-12 Marvin Zhang , Sergey Levine , Chelsea Finn

This paper presents a simple extension of the binary heap, the List Heap. We use List Heaps to demonstrate the idea of adaptive heaps: heaps whose performance is a function of both the size of the problem instance and the disorder of the…

Data Structures and Algorithms · Computer Science 2018-02-16 Andrew Frohmader

Approaches based on deep neural networks have achieved striking performance when testing data and training data share similar distribution, but can significantly fail otherwise. Therefore, eliminating the impact of distribution shifts…

Machine Learning · Computer Science 2021-04-19 Xingxuan Zhang , Peng Cui , Renzhe Xu , Linjun Zhou , Yue He , Zheyan Shen

Machine learning assumes a pivotal role in our data-driven world. The increasing scale of models and datasets necessitates quick and reliable algorithms for model training. This dissertation investigates adaptivity in machine learning…

Machine Learning · Computer Science 2023-11-20 Slavomír Hanzely

We investigate model assessment and selection in a changing environment, by synthesizing datasets from both the current time period and historical epochs. To tackle unknown and potentially arbitrary temporal distribution shift, we develop…

Machine Learning · Computer Science 2024-06-05 Elise Han , Chengpiao Huang , Kaizheng Wang