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Reconstructing an infinite-dimensional signal from a finite set of measurements is a fundamental problem in approximation theory and signal processing. While the generalized sampling (GS) framework provides a robust methodology for…

Functional Analysis · Mathematics 2026-05-25 Luca Finotti , Matteo Santacesaria

Belief updating in Bayes nets, a well known computationally hard problem, has recently been approximated by several deterministic algorithms, and by various randomized approximation algorithms. Deterministic algorithms usually provide…

Artificial Intelligence · Computer Science 2013-02-18 Eugene Santos , Solomon Eyal Shimony , Edward Williams

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

Assessing whether a sample survey credibly represents the population is a critical question for ensuring the validity of downstream research. Generally, this problem reduces to estimating the distance between two high-dimensional…

Machine Learning · Computer Science 2025-08-29 Debabrota Basu , Sourav Chakraborty , Debarshi Chanda , Buddha Dev Das , Arijit Ghosh , Arnab Ray

We consider answering queries on data available through access methods, that provide lookup access to the tuples matching a given binding. Such interfaces are common on the Web; further, they often have bounds on how many results they can…

Logic in Computer Science · Computer Science 2023-06-22 Antoine Amarilli , Michael Benedikt

Data augmentation has been widely applied as an effective methodology to improve generalization in particular when training deep neural networks. Recently, researchers proposed a few intensive data augmentation techniques, which indeed…

Machine Learning · Computer Science 2019-11-22 Zhuoxun He , Lingxi Xie , Xin Chen , Ya Zhang , Yanfeng Wang , Qi Tian

We consider a recursive algorithm to construct an aggregated estimator from a finite number of base decision rules in the classification problem. The estimator approximately minimizes a convex risk functional under the l1-constraint. It is…

Statistics Theory · Mathematics 2007-06-13 Anatoli Juditsky , Alexander Nazin , Alexandre Tsybakov , Nicolas Vayatis

We present a way to capture high-information posteriors from training sets that are sparsely sampled over the parameter space for robust simulation-based inference. In physical inference problems, we can often apply domain knowledge to…

Machine Learning · Statistics 2025-09-26 T. Lucas Makinen , Ce Sui , Benjamin D. Wandelt , Natalia Porqueres , Alan Heavens

Class imbalance in real-world data poses a common bottleneck for machine learning tasks, since achieving good generalization on under-represented examples is often challenging. Mitigation strategies, such as under or oversampling the data…

Disordered Systems and Neural Networks · Physics 2025-02-03 Emanuele Loffredo , Mauro Pastore , Simona Cocco , Rémi Monasson

Data assimilation addresses the general problem of how to combine model-based predictions with partial and noisy observations of the process in an optimal manner. This survey focuses on sequential data assimilation techniques using…

Numerical Analysis · Mathematics 2019-08-15 Sebastian Reich

We develop large sample theory for merged data from multiple sources. Main statistical issues treated in this paper are (1) the same unit potentially appears in multiple datasets from overlapping data sources, (2) duplicated items are not…

Statistics Theory · Mathematics 2018-05-22 Takumi Saegusa

Multivariate count data are defined as the number of items of different categories issued from sampling within a population, which individuals are grouped into categories. The analysis of multivariate count data is a recurrent and crucial…

Machine Learning · Statistics 2013-12-17 Pierre Fernique , Jean-Baptiste Durand , Yann Guédon

This paper considers a distributionally robust chance constraint model with a general ambiguity set. We show that a sample based approximation of this model converges under suitable sufficient conditions. We also show that upper and lower…

Optimization and Control · Mathematics 2025-01-17 Jiaqi Lei , Sanjay Mehrotra

In this paper, we tackle the resolution of chance-constrained problems reformulated via Sample Average Approximation. The resulting data-driven deterministic reformulation takes the form of a large-scale mixed-integer program cursed with…

Optimization and Control · Mathematics 2023-06-27 Álvaro Porras , Concepción Domínguez , Juan M. Morales , Salvador Pineda

We propose and analyze a generalized splitting method to sample approximately from a distribution conditional on the occurrence of a rare event. This has important applications in a variety of contexts in operations research, engineering,…

Methodology · Statistics 2019-09-10 Zdravko I. Botev , Pierre L'Ecuyer

We propose an approach to compute inner and outer-approximations of the sets of values satisfying constraints expressed as arbitrarily quantified formulas. Such formulas arise for instance when specifying important problems in control such…

Systems and Control · Electrical Eng. & Systems 2023-09-22 Eric Goubault , Sylvie Putot

Abstractive summarization models are commonly trained using maximum likelihood estimation, which assumes a deterministic (one-point) target distribution in which an ideal model will assign all the probability mass to the reference summary.…

Computation and Language · Computer Science 2022-04-01 Yixin Liu , Pengfei Liu , Dragomir Radev , Graham Neubig

Queries with aggregation and arithmetic operations, as well as incomplete data, are common in real-world database, but we lack a good understanding of how they should interact. On the one hand, systems based on SQL provide ad-hoc rules for…

Databases · Computer Science 2022-11-02 Marco Console , Leonid Libkin , Liat Peterfreund

Range-based set reconciliation is a simple approach to efficiently computing the union of two sets over a network, based on recursively partitioning the sets and comparing fingerprints of the partitions to probabilistically detect whether a…

Cryptography and Security · Computer Science 2023-02-09 Aljoscha Meyer

State-of-the-art summarization systems can generate highly fluent summaries. These summaries, however, may contain factual inconsistencies and/or information not present in the source. Hence, an important component of assessing the quality…

Computation and Language · Computer Science 2023-09-11 Potsawee Manakul , Adian Liusie , Mark J. F. Gales
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