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It is well-known that trimmed sample means are robust against heavy tails and data contamination. This paper analyzes the performance of trimmed means and related methods in two novel contexts. The first one consists of estimating…

Statistics Theory · Mathematics 2025-12-03 Roberto I. Oliveira , Lucas Resende

Today's data-heavy research environment requires the integration of different sources of information into structured data sets that can not be analyzed as simple matrices. We introduce an old technique, known in the European data analyses…

Applications · Statistics 2012-02-27 Omar De la Cruz , Susan Holmes

Model selection aims to identify a sufficiently well performing model that is possibly simpler than the most complex model among a pool of candidates. However, the decision-making process itself can inadvertently introduce non-negligible…

Methodology · Statistics 2024-08-08 Yann McLatchie , Aki Vehtari

Existing statistical methods for the analysis of micro-randomized trials (MRTs) are designed to estimate causal excursion effects using data from a single MRT. In practice, however, researchers can often find previous MRTs that employ…

Methodology · Statistics 2025-05-13 Easton Huch , Inbal Nahum-Shani , Lindsey Potter , Cho Lam , David W. Wetter , Walter Dempsey

Modern scientific computational methods are undergoing a transformative change; big data and statistical learning methods now have the potential to outperform the classical first-principles modeling paradigm. This book bridges this…

Data Analysis, Statistics and Probability · Physics 2018-03-22 John Harlim

We consider the optimal decision-making problem in a primary sample of interest with multiple auxiliary sources available. The outcome of interest is limited in the sense that it is only observed in the primary sample. In reality, such…

Methodology · Statistics 2022-09-23 Hengrui Cai , Wenbin Lu , Rui Song

Comparisons of different treatments or production processes are the goals of a significant fraction of applied research. Unsurprisingly, two-sample problems play a main role in Statistics through natural questions such as `Is the the new…

Methodology · Statistics 2017-09-05 P. C. Álvarez-Esteban , E. del Barrio , J. A. Cuesta-Albertos , C. Matrán

We propose a statistically optimal approach to construct data-driven decisions for stochastic optimization problems. Fundamentally, a data-driven decision is simply a function that maps the available training data to a feasible action. It…

Optimization and Control · Mathematics 2023-12-18 Tobias Sutter , Bart P. G. Van Parys , Daniel Kuhn

The learning of predictive models for data-driven decision support has been a prevalent topic in many fields. However, construction of models that would capture interactions among input variables is a challenging task. In this paper, we…

Machine Learning · Computer Science 2019-05-22 Jiapeng Liu , Milosz Kadzinski , Xiuwu Liao , Xiaoxin Mao

In many areas, practitioners seek to use observational data to learn a treatment assignment policy that satisfies application-specific constraints, such as budget, fairness, simplicity, or other functional form constraints. For example,…

Statistics Theory · Mathematics 2020-09-08 Susan Athey , Stefan Wager

Multimodal data, where different types of data are collected from the same subjects, are fast emerging in a large variety of scientific applications. Factor analysis is commonly used in integrative analysis of multimodal data, and is…

Statistics Theory · Mathematics 2021-03-31 Quefeng Li , Lexin Li

Many modern causal questions ask how treatments affect complex outcomes that are measured using wearable devices and sensors. Current analysis approaches require summarizing these data into scalar statistics (e.g., the mean), but these…

Machine Learning · Computer Science 2024-03-22 Srikar Katta , Harsh Parikh , Cynthia Rudin , Alexander Volfovsky

Classification of ordinal data is one of the most important tasks of relation learning. In this thesis a novel framework for ordered classes is proposed. The technique reduces the problem of classifying ordered classes to the standard…

Artificial Intelligence · Computer Science 2007-05-23 Jaime S. Cardoso

Data from both a randomized trial and an observational study are sometimes simultaneously available for evaluating the effect of an intervention. The randomized data typically allows for reliable estimation of average treatment effects but…

Methodology · Statistics 2021-12-01 David Cheng , Tianxi Cai

We present a new approach to classification that combines data and knowledge. In this approach, data mining is used to derive association rules (possibly with negations) from data. Those rules are leveraged to increase the predictive…

Artificial Intelligence · Computer Science 2025-10-22 Gilles Audemard , Sylvie Coste-Marquis , Pierre Marquis , Mehdi Sabiri , Nicolas Szczepanski

Suppose that a mobile sensor describes a Markovian trajectory in the ambient space. At each time the sensor measures an attribute of interest, e.g., the temperature. Using only the location history of the sensor and the associated…

Statistics Theory · Mathematics 2017-10-02 Romain Azaïs , Bernard Delyon , François Portier

This paper presents a hybrid approach called frequent pattern based search that combines data mining and optimization. The proposed method uses a data mining procedure to mine frequent patterns from a set of high-quality solutions collected…

Discrete Mathematics · Computer Science 2017-10-10 Yangming Zhou , Jin-Kao Hao , Béatrice Duval

Healthcare data, particularly in critical care settings, presents three key challenges for analysis. First, physiological measurements come from different sources but are inherently related. Yet, traditional methods often treat each…

Applications · Statistics 2025-12-01 Ali Akbar Septiandri , Deyu Ming , F. Alejandro DiazDelaO , Takoua Jendoubi , Samiran Ray

Clinical predictions using clinical data by computational methods are common in bioinformatics. However, clinical predictions using information from genomics datasets as well is not a frequently observed phenomenon in research. Precision…

Genomics · Quantitative Biology 2021-06-25 Moeez M. Subhani , Ashiq Anjum

We consider the problem of decision-making with side information and unbounded loss functions. Inspired by probably approximately correct learning model, we use a slightly different model that incorporates the notion of side information in…

Machine Learning · Computer Science 2007-07-13 Majid Fozunbal , Ton Kalker