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The estimation of an f-divergence between two probability distributions based on samples is a fundamental problem in statistics and machine learning. Most works study this problem under very weak assumptions, in which case it is provably…

Machine Learning · Statistics 2019-10-25 Paul K. Rubenstein , Olivier Bousquet , Josip Djolonga , Carlos Riquelme , Ilya Tolstikhin

In this work we study the problem of inferring a discrete probability distribution using both expert knowledge and empirical data. This is an important issue for many applications where the scarcity of data prevents a purely empirical…

Machine Learning · Computer Science 2020-01-08 Rémi Besson , Erwan Le Pennec , Stéphanie Allassonnière

Sampling distribution, a foundational concept in statistics, is difficult to understand, since we usually have only one realization of the estimator of interest. In this work, we present an innovative method for helping university students…

Other Statistics · Statistics 2021-07-26 Mariela Sued , Marina Valdora

Consider a random sample $X_1 , X_2 , ..., X_n$ drawn independently and identically distributed from some known sampling distribution $P_X$. Let $X_{(1)} \le X_{(2)} \le ... \le X_{(n)}$ represent the order statistics of the sample. The…

Information Theory · Computer Science 2020-09-28 Alex Dytso , Martina Cardone , Cynthia Rush

We study the problem of efficiently estimating counts for queries involving complex filters, such as user-defined functions, or predicates involving self-joins and correlated subqueries. For such queries, traditional sampling techniques may…

Databases · Computer Science 2020-01-01 Brett Walenz , Stavros Sintos , Sudeepa Roy , Jun Yang

When data is of an extraordinarily large size or physically stored in different locations, the distributed nearest neighbor (NN) classifier is an attractive tool for classification. We propose a novel distributed adaptive NN classifier for…

Machine Learning · Statistics 2023-06-06 Ruiqi Liu , Ganggang Xu , Zuofeng Shang

As predictive algorithms grow in popularity, using the same dataset to both train and test a new model has become routine across research, policy, and industry. Sample-splitting attains valid inference on model properties by using separate…

Econometrics · Economics 2025-11-27 Bruno Fava

Model explainability is crucial for human users to be able to interpret how a proposed classifier assigns labels to data based on its feature values. We study generalized linear models constructed using sets of feature value rules, which…

Machine Learning · Statistics 2023-11-06 Sanjeeb Dash , Soumyadip Ghosh , Joao Goncalves , Mark S. Squillante

This paper studies hypothesis testing and parameter estimation in the context of the divide and conquer algorithm. In a unified likelihood based framework, we propose new test statistics and point estimators obtained by aggregating various…

Statistics Theory · Mathematics 2015-09-21 Heather Battey , Jianqing Fan , Han Liu , Junwei Lu , Ziwei Zhu

Many real world learning tasks involve complex or hard-to-specify objectives, and using an easier-to-specify proxy can lead to poor performance or misaligned behavior. One solution is to have humans provide a training signal by…

Machine Learning · Computer Science 2018-10-22 Paul Christiano , Buck Shlegeris , Dario Amodei

We derive limiting distributions of symmetrized estimators of scatter, where instead of all $n(n-1)/2$ pairs of the $n$ observations we only consider $nd$ suitably chosen pairs, $1 \le d < \lfloor n/2\rfloor$. It turns out that the…

Statistics Theory · Mathematics 2023-08-21 Lutz Duembgen , Klaus Nordhausen

Rare properties remain a challenge for statistical model checking (SMC) due to the quadratic scaling of variance with rarity. We address this with a variance reduction framework based on lightweight importance splitting observers. These…

Logic in Computer Science · Computer Science 2015-04-29 Cyrille Jegourel , Axel Legay , Sean Sedwards , Louis-Marie Traonouez

Estimating statistical models within sensor networks requires distributed algorithms, in which both data and computation are distributed across the nodes of the network. We propose a general approach for distributed learning based on…

Machine Learning · Computer Science 2012-07-03 Qiang Liu , Alexander Ihler

In recent years, an increasing amount of data is collected in different and often, not cooperative, databases. The problem of privacy-preserving, distributed calculations over separated databases and, a relative to it, issue of private data…

Databases · Computer Science 2016-05-23 Philip Derbeko , Shlomi Dolev , Ehud Gudes , Jeffrey D. Ullman

We define a notion of information that an individual sample provides to the training of a neural network, and we specialize it to measure both how much a sample informs the final weights and how much it informs the function computed by the…

Learning from implicit feedback is challenging because of the difficult nature of the one-class problem: we can observe only positive examples. Most conventional methods use a pairwise ranking approach and negative samplers to cope with the…

Machine Learning · Computer Science 2021-05-12 Riku Togashi , Masahiro Kato , Mayu Otani , Tetsuya Sakai , Shin'ichi Satoh

This work proposes and evaluates a novel approach to determine interesting categorical attributes for lists of entities. Once identified, such categories are of immense value to allow constraining (filtering) a current view of a user to…

Databases · Computer Science 2017-11-30 Koninika Pal , Sebastian Michel

This paper explores the process of optimal quantization for several types of discrete probability distributions. Quantization is a technique used to approximate a complex distribution with a smaller set of representative points, which is…

Probability · Mathematics 2025-07-16 Russel Cabasag , Samir Huq , Eric Mendoza , Mrinal Kanti Roychowdhury

The problem of distinct value estimation has many applications. Being a critical component of query optimizers in databases, it also has high commercial impact. Many distinct value estimators have been proposed, using various statistical…

Databases · Computer Science 2016-12-05 Vinay Deolalikar , Hernan Laffitte

Federated learning, a distributed learning paradigm, utilizes multiple clients to build a robust global model. In real-world applications, local clients often operate within their limited domains, leading to a `domain shift' across clients.…

Machine Learning · Computer Science 2024-07-12 Seunghan Yang , Seokeon Choi , Hyunsin Park , Sungha Choi , Simyung Chang , Sungrack Yun