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As the issue of robustness in AI systems becomes vital, statistical learning techniques that are reliable even in presence of partly contaminated data have to be developed. Preference data, in the form of (complete) rankings in the simplest…

机器学习 · 计算机科学 2023-03-24 Morgane Goibert , Clément Calauzènes , Ekhine Irurozki , Stéphan Clémençon

Estimation of structure, such as in variable selection, graphical modelling or cluster analysis is notoriously difficult, especially for high-dimensional data. We introduce stability selection. It is based on subsampling in combination with…

统计方法学 · 统计学 2009-05-16 Nicolai Meinshausen , Peter Buehlmann

We carry out a systematic study of uncertainty measures that are generic to dynamical processes of varied origins, provided they induce suitable continuous probability distributions. The major technical tool are the information theory…

统计力学 · 物理学 2009-11-13 Piotr Garbaczewski

In traditional recommender system literature, diversity is often seen as the opposite of similarity, and typically defined as the distance between identified topics, categories or word models. However, this is not expressive of the social…

信息检索 · 计算机科学 2022-10-14 Sanne Vrijenhoek , Gabriel Bénédict , Mateo Gutierrez Granada , Daan Odijk , Maarten de Rijke

Model selection is a cornerstone of statistical inference, where information criteria are widely employed to balance model fit and complexity. However, classical likelihood-based criteria are often highly sensitive to contamination,…

统计方法学 · 统计学 2026-03-26 Udita Goswami , Shuvashree Mondal

Many modern datasets don't fit neatly into $n \times p$ matrices, but most techniques for measuring statistical stability expect rectangular data. We study methods for stability assessment on non-rectangular data, using statistical learning…

统计计算 · 统计学 2021-02-23 Kris Sankaran

Estimating the Shannon entropy of a discrete distribution from which we have only observed a small sample is challenging. Estimating other information-theoretic metrics, such as the Kullback-Leibler divergence between two sparsely sampled…

数据分析、统计与概率 · 物理学 2023-02-24 Angelo Piga , Lluc Font-Pomarol , Marta Sales-Pardo , Roger Guimerà

Information theoretic measures (e.g. the Kullback Liebler divergence and Shannon mutual information) have been used for exploring possibly nonlinear multivariate dependencies in high dimension. If these dependencies are assumed to follow a…

信息论 · 计算机科学 2017-07-12 Kevin R. Moon , Morteza Noshad , Salimeh Yasaei Sekeh , Alfred O. Hero

Ranking objects is a simple and natural procedure for organizing data. It is often performed by assigning a quality score to each object according to its relevance to the problem at hand. Ranking is widely used for object selection, when…

人工智能 · 计算机科学 2012-06-26 Or Zuk , Liat Ein-Dor , Eytan Domany

Feature importance scores are ubiquitous tools for understanding the predictions of machine learning models. However, many popular attribution methods suffer from high instability due to random sampling. Leveraging novel ideas from…

机器学习 · 统计学 2025-07-08 Jeremy Goldwasser , Giles Hooker

Recent discussion of the success of feature selection methods has argued that focusing on a relatively small number of features has been counterproductive. Instead, it is suggested, the number of significant features can be in the thousands…

统计理论 · 数学 2014-07-10 Peter Hall , Jiashun Jin , Hugh Miller

Ranking algorithms are deployed widely to order a set of items in applications such as search engines, news feeds, and recommendation systems. Recent studies, however, have shown that, left unchecked, the output of ranking algorithms can…

数据结构与算法 · 计算机科学 2018-07-31 L. Elisa Celis , Damian Straszak , Nisheeth K. Vishnoi

While robust divergence such as density power divergence and $\gamma$-divergence is helpful for robust statistical inference in the presence of outliers, the tuning parameter that controls the degree of robustness is chosen in a…

统计方法学 · 统计学 2021-09-15 Shonosuke Sugasawa , Shouto Yonekura

The proposed feature selection method builds a histogram of the most stable features from random subsets of a training set and ranks the features based on a classifier based cross-validation. This approach reduces the instability of…

人工智能 · 计算机科学 2012-02-07 Alex Pappachen James , Akshay Maan

In the rapidly evolving domain of Recommender Systems (RecSys), new algorithms frequently claim state-of-the-art performance based on evaluations over a limited set of arbitrarily selected datasets. However, this approach may fail to…

Rankings are ubiquitous across many applications, from search engines to hiring committees. In practice, many rankings are derived from the output of predictors. However, when predictors trained for classification tasks have intrinsic…

机器学习 · 计算机科学 2024-02-15 Siddartha Devic , Aleksandra Korolova , David Kempe , Vatsal Sharan

Feature selection has remained a daunting challenge in machine learning and artificial intelligence, where increasingly complex, high-dimensional datasets demand principled strategies for isolating the most informative predictors. Despite…

机器学习 · 统计学 2025-12-02 Mousam Sinha , Tirtha Sarathi Ghosh , Ridam Pal

For data sets with similar features, for example highly correlated features, most existing stability measures behave in an undesired way: They consider features that are almost identical but have different identifiers as different features.…

机器学习 · 统计学 2021-01-18 Andrea Bommert , Jörg Rahnenführer

Algorithmic stability is a central concept in statistics and learning theory that measures how sensitive an algorithm's output is to small changes in the training data. Stability plays a crucial role in understanding generalization,…

统计理论 · 数学 2026-01-21 Abhinav Chakraborty , Yuetian Luo , Rina Foygel Barber

This paper proposes a novel method for determining the number of factors in linear factor models under stability considerations. An instability measure is proposed based on the principal angle between the estimated loading spaces obtained…

统计方法学 · 统计学 2024-09-13 Sze Ming Lee , Yunxiao Chen