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Testing whether two multivariate samples exhibit the same extremal behavior is an important problem in various fields including environmental and climate sciences. While several ad-hoc approaches exist in the literature, they often lack…

Statistics Theory · Mathematics 2026-02-03 Sebastian Engelke , Philippe Naveau , Chen Zhou

Robustness to outliers is a central issue in real-world machine learning applications. While replacing a model to a heavy-tailed one (e.g., from Gaussian to Student-t) is a standard approach for robustification, it can only be applied to…

Machine Learning · Statistics 2018-03-01 Futoshi Futami , Issei Sato , Masashi Sugiyama

This paper advances the theoretical understanding of active learning label complexity for decision trees as binary classifiers. We make two main contributions. First, we provide the first analysis of the disagreement coefficient for…

Active learning is the iterative construction of a classification model through targeted labeling, enabling significant labeling cost savings. As most research on active learning has been carried out before transformer-based language models…

Computation and Language · Computer Science 2022-03-22 Christopher Schröder , Andreas Niekler , Martin Potthast

A loss function measures the discrepancy between the true values and their estimated fits, for a given instance of data. In classification problems, a loss function is said to be proper if a minimizer of the expected loss is the true…

Information Theory · Computer Science 2020-01-03 Amichai Painsky , Gregory W. Wornell

Empirical risk minimization, a cornerstone in machine learning, is often hindered by the Optimizer's Curse stemming from discrepancies between the empirical and true data-generating distributions.To address this challenge, the robust…

Machine Learning · Computer Science 2024-08-20 Haojie Yan , Minglong Zhou , Jiayi Guo

We consider model-based reinforcement learning in finite Markov De- cision Processes (MDPs), focussing on so-called optimistic strategies. In MDPs, optimism can be implemented by carrying out extended value it- erations under a constraint…

Machine Learning · Computer Science 2011-09-22 Sarah Filippi , Olivier Cappé , Aurélien Garivier

Active learning promises to provide an optimal training sample selection procedure in the construction of machine learning models. It often relies on minimizing the model's variance, which is assumed to decrease the prediction error. Still,…

Chemical Physics · Physics 2025-11-26 Vivin Vinod , Peter Zaspel

Active learning aims to achieve greater accuracy with less training data by selecting the most useful data samples from which it learns. Single-criterion based methods (i.e., informativeness and representativeness based methods) are simple…

Machine Learning · Computer Science 2021-07-06 Xueying Zhan , Qing Li , Antoni B. Chan

We study the fundamental and timely problem of learning long sequences in autoregressive modeling and next-token prediction under model misspecification, measured by the joint Kullback--Leibler (KL) divergence. Our goal is to characterize…

Machine Learning · Computer Science 2026-05-13 Yunbei Xu , Yuzhe Yuan , Ruohan Zhan

We consider active learning under incentive compatibility constraints. The main application of our results is to economic experiments, in which a learner seeks to infer the parameters of a subject's preferences: for example their attitudes…

Computer Science and Game Theory · Computer Science 2019-11-15 Federico Echenique , Siddharth Prasad

Active learning is a practical field of machine learning that automates the process of selecting which data to label. Current methods are effective in reducing the burden of data labeling but are heavily model-reliant. This has led to the…

Machine Learning · Computer Science 2023-03-01 Sai Prathyush Katragadda , Tyler Cody , Peter Beling , Laura Freeman

We develop hypothesis testing for active information -the averaged quantity in the Kullback-Liebler divergence. To our knowledge, this is the first paper to derive exact probabilities of type-I errors for hypothesis testing in the area.

Statistics Theory · Mathematics 2021-11-16 Daniel Andrés Díaz-Pachón , Juan Pablo Sáenz , J. Sunil Rao

In this paper, we make an important step towards the black-box machine teaching by considering the cross-space machine teaching, where the teacher and the learner use different feature representations and the teacher can not fully observe…

Machine Learning · Statistics 2018-06-07 Weiyang Liu , Bo Dai , Xingguo Li , Zhen Liu , James M. Rehg , Le Song

Grouping has been commonly used in deep metric learning for computing diverse features. However, current methods are prone to overfitting and lack interpretability. In this work, we propose an improved and interpretable grouping method to…

Computer Vision and Pattern Recognition · Computer Science 2021-08-26 Xinyi Xu , Zhengyang Wang , Cheng Deng , Hao Yuan , Shuiwang Ji

Recent breakthroughs made by deep learning rely heavily on large number of annotated samples. To overcome this shortcoming, active learning is a possible solution. Beside the previous active learning algorithms that only adopted information…

Computer Vision and Pattern Recognition · Computer Science 2019-10-29 Junyu Liu , Xiang Li , Jin Wang , Jiqiang Zhou , Jianxiong Shen

Solving real-life sequential decision making problems under partial observability involves an exploration-exploitation problem. To be successful, an agent needs to efficiently gather valuable information about the state of the world for…

Machine Learning · Computer Science 2020-11-03 Haiyan Yin , Yingzhen Li , Sinno Jialin Pan , Cheng Zhang , Sebastian Tschiatschek

Calibration is a common experimental physics problem, whose goal is to infer the value and uncertainty of an unobservable quantity Z given a measured quantity X. Additionally, one would like to quantify the extent to which X and Z are…

High Energy Physics - Phenomenology · Physics 2023-09-26 Rikab Gambhir , Benjamin Nachman , Jesse Thaler

In this article we study the field of Hilbertian metrics and positive definit (pd) kernels on probability measures, they have a real interest in kernel methods. Firstly we will make a study based on the Alpha-Beta-divergence to have a…

Methodology · Statistics 2018-09-18 Mactar Ndaw , Macoumba Ndour , Papa Ngom

Classical approaches in recommender systems such as collaborative filtering are concentrated mainly on static user preference extraction. This approach works well as an example for music recommendations when a user behavior tends to be…

Information Retrieval · Computer Science 2015-07-28 Maxim Borisyak , Roman Zykov , Artem Noskov
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