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In this paper, we further develop the approach, originating in [14 (arXiv:1311.6765),20 (arXiv:1604.02576)], to "computation-friendly" hypothesis testing and statistical estimation via Convex Programming. Specifically, we focus on…

Statistics Theory · Mathematics 2018-04-16 Anatoli Juditsky , Arkadi Nemirovski

Uncertainty relations provide constraints on how well the outcomes of incompatible measurements can be predicted, and, as well as being fundamental to our understanding of quantum theory, they have practical applications such as for…

Quantum Physics · Physics 2013-05-30 Patrick J. Coles , Roger Colbeck , Li Yu , Michael Zwolak

The paper concerns the probabilistic evaluation of plans in the presence of unmeasured variables, each plan consisting of several concurrent or sequential actions. We establish a graphical criterion for recognizing when the effects of a…

Artificial Intelligence · Computer Science 2013-02-21 Judea Pearl , James M. Robins

In any natural science, measurements are the essential link between theory and observable reality. Is it possible to obtain accurate and relevant information via measurement whose action on the probed system is unknown? In other words, can…

Quantum Physics · Physics 2020-09-04 Henri Lyyra , Olli Siltanen , Jyrki Piilo , Subhashish Banerjee , Tom Kuusela

The optimization of large experiments in fundamental science, such as detectors for subnuclear physics at particle colliders, shares with the optimization of complex systems for industrial or societal applications the common issue of…

Instrumentation and Detectors · Physics 2026-03-30 Tommaso Dorigo , Pietro Vischia , Shahzaib Abbas , Tosin Adewumi , Lama Alkhaled , Lorenzo Arsini , Muhammad Awais , Maxim Borisyak , András Bóta , Florian Bury , Sascha Caron , James Carzon , Long Chen , Prakash C. Chhipa , Paul Christakopoulos , Jacopo De Piccoli , Andrea De Vita , Zlatan Dimitrov , Michele Doro , Luigi Favaro , Francesco Ferranti , Santiago Folgueras , Rihab Gargouri , Nicolas R. Gauger , Andrea Giammanco , Christian Glaser , Tobias Golling , João A. Gonçalves , Hui Han , Hamza Hanif , Lukas Heinrich , Yan Chai Hum , Florent Imbert , Andreas Ipp , Michael Kagan , Noor Kainat Syeda , Rukshak Kapoor , Aparup Khatua , Eduard J. Kerkhoven , Jan Kieseler , Tobias Kortus , Ashish Kumar Singh , Marius S. Köppel , Daniel Lanchares , Ann Lee , Pelayo Leguina , Christos Leonidopoulos , Giuseppe Levi , Boying Li , Chang Liu , Marcus Liwicki , Karl Lowenmark , Enrico Lupi , Carlo Mancini-Terracciano , Dominik Maršík , Leonidas Matsakas , Hamam Mokayed , Federico Nardi , Amirhossein Nayebiastaneh , Xuan T. Nguyen , Aitor Orio , Jingjing Pan , Jigar Patel , Carmelo Pellegrino , María Pereira Martínez , Karolos Potamianos , Shah Rukh Qasim , Martin Ravn , Luis Recabarren Vergara , Humberto Reyes-González , Hipolito A. Riveros Guevara , Ippocratis D. Saltas , Rajkumar Saini , Fredrik Sandin , Alexander Schilling , Kylian Schmidt , Nicola Serra , Saqib Shahzad , Foteini Simistira Liwicki , Giles C. Strong , Kristian Tchiorniy , Mia Tosi , Andrey Ustyuzhanin , Xabier Cid Vidal , Kinga A. Wozniak , Mengqing Wu , Zahraa Zaher

Score matching is a vital tool for learning the distribution of data with applications across many areas including diffusion processes, energy based modelling, and graphical model estimation. Despite all these applications, little work…

Machine Learning · Statistics 2025-06-03 Josh Givens , Song Liu , Henry W J Reeve

Machine learning tools have empowered a qualitatively new way to perform differential cross section measurements whereby the data are unbinned, possibly in many dimensions. Unbinned measurements can enable, improve, or at least simplify…

Discovering a correlation from one variable to another variable is of fundamental scientific and practical interest. While existing correlation measures are suitable for discovering average correlation, they fail to discover hidden or…

Machine Learning · Statistics 2017-11-22 Hyeji Kim , Weihao Gao , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

In comparative studies, such as in causal inference and clinical trials, balancing important covariates is often one of the most important concerns for both efficient and credible comparison. However, chance imbalance still exists in many…

Methodology · Statistics 2018-07-30 Yichen Qin , Yang Li , Wei Ma , Feifang Hu

Recently, there has been extensive research on the capabilities of biologically plausible algorithms. In this work, we show how one of such algorithms, called predictive coding, is able to perform causal inference tasks. First, we show how…

Machine Learning · Computer Science 2024-06-04 Tommaso Salvatori , Luca Pinchetti , Amine M'Charrak , Beren Millidge , Thomas Lukasiewicz

The strength of evidence provided by epidemiological and observational studies is inherently limited by the potential for unmeasured confounding. Researchers should present a quantified sensitivity to unmeasured confounding analysis that is…

Methodology · Statistics 2020-11-16 Lucy D'Agostino McGowan , Robert A. Greevy,

The combination of a number of correlated estimates of a given observable is frequently performed using the Best Linear Unbiased Estimate (BLUE) method. Most features of such a combination can already be seen by analysing the special case…

Data Analysis, Statistics and Probability · Physics 2015-06-18 Richard Nisius

In recent years we have been able to gather large amounts of genomic data at a fast rate, creating situations where the number of variables greatly exceeds the number of observations. In these situations, most models that can handle a…

Methodology · Statistics 2025-02-07 Andrea Bratsberg , Abhik Ghosh , Magne Thoresen

The Curie-Weiss model, originally used to study phase transitions in statistical mechanics, has been adapted to model phenomena in social sciences where many agents interact with each other. Reconstructing the probability measure of a…

Statistics Theory · Mathematics 2025-07-24 Miguel Ballesteros , Ivan Naumkin , Gabor Toth

Survey respondents may give untruthful answers to sensitive questions when asked directly. In recent years, researchers have turned to the list experiment (also known as the item count technique) to overcome this difficulty. While list…

Applications · Statistics 2014-06-03 Peter M. Aronow , Alexander Coppock , Forrest W. Crawford , Donald P. Green

Qualitative interactions occur when a treatment effect or measure of association varies in sign by sub-population. Of particular interest in many biomedical settings are absence/presence qualitative interactions, which occur when an effect…

Methodology · Statistics 2020-10-20 Aaron Hudson , Ali Shojaie

The Curie-Weiss model is used to study phase transitions in statistical mechanics and has been the object of rigorous analysis in mathematical physics. We analyse the problem of reconstructing the probability measure of a multi-group…

Probability · Mathematics 2025-05-29 Miguel Ballesteros , Ramsés H. Mena , Arno Siri-Jégousse , Gabor Toth

The random coefficients model is an extension of the linear regression model that allows for unobserved heterogeneity in the population by modeling the regression coefficients as random variables. Given data from this model, the statistical…

Methodology · Statistics 2018-03-15 Fabian Dunker , Konstantin Eckle , Katharina Proksch , Johannes Schmidt-Hieber

Online controlled experimentation is widely adopted for evaluating new features in the rapid development cycle for web products and mobile applications. Measurement of the overall experiment sample is a common practice to quantify the…

Human-Computer Interaction · Computer Science 2022-01-27 Zhenyu Zhao , Yan He , Miao Chen

User models play an important role in interaction design, supporting automation of interaction design choices. In order to do so, model parameters must be estimated from user data. While very large amounts of user data are sometimes…

Artificial Intelligence · Computer Science 2023-07-20 Antti Keurulainen , Isak Westerlund , Oskar Keurulainen , Andrew Howes