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This paper presents Deepchecks, a Python library for comprehensively validating machine learning models and data. Our goal is to provide an easy-to-use library comprising of many checks related to various types of issues, such as model…

Process mining is a technique that performs an automatic analysis of business processes from a log of events with the promise of understanding how processes are executed in an organisation. Several models have been proposed to address this…

Artificial Intelligence · Computer Science 2015-03-26 Catarina Moreira

Studying facial expressions is a notoriously difficult endeavor. Recent advances in the field of affective computing have yielded impressive progress in automatically detecting facial expressions from pictures and videos. However, much of…

Computer Vision and Pattern Recognition · Computer Science 2023-03-09 Jin Hyun Cheong , Eshin Jolly , Tiankang Xie , Sophie Byrne , Matthew Kenney , Luke J. Chang

A key quantity of interest in Bayesian inference are expectations of functions with respect to a posterior distribution. Markov Chain Monte Carlo is a fundamental tool to consistently compute these expectations via averaging samples drawn…

Machine Learning · Statistics 2015-02-10 Heiko Strathmann , Dino Sejdinovic , Mark Girolami

Over the past decade, the Python-based Simulations of Chemistry Framework (PySCF) has developed into a widely used open-source platform for electronic structure theory and quantum chemical method development. This article reviews the major…

Chemical Physics · Physics 2026-04-09 Qiming Sun , Matthew R Hermes , Xiaojie Wu , Huanchen Zhai , Xing Zhang , Abdelrahman M. Ahmed , Juan José Aucar , Oliver J. Backhouse , Samragni Banerjee , Peng Bao , Nikolay A. Bogdanov , Kyle Bystrom , Frédéric Chapoton , Ning-Yuan Chen , Ivan Yu. Chernyshov , Helen S. Clifford , Sander Cohen-Janes , Zhi-Hao Cui , Yann D. Damour , Nike Dattani , Linus Bjarne Dittmer , Sebastian Ehlert , Janus Juul Eriksen , Francesco A. Evangelista , Simon A. Ewing , Ardavan Farahvash , Kevin Focke , Yang Gao , Kevin E. Gasperich , Nathan Gillispie , Jonas Greiner , Matthew R. Hennefarth , Jan Hermann , Christopher Hillenbrand , Joonatan Huhtasalo , Basil Ibrahim , Bhavnesh Jangid , Alireza Nejati Javaremi , Andrew J. Jenkins , Yu Jin , Daniel S. King , Derk Pieter Kooi , Jo S. Kurian , Henrik R. Larsson , Bryan Tak Gwong Lau , Seunghoon Lee , Susi Lehtola , Chenghan Li , Hao Li , Jiachen Li , Rui Li , Shuhang Li , Aleksandr O. Lykhin , Ankit Mahajan , Nastasia Mauger , Pablo del Mazo-Sevillano , Jonathan Moussa , Kousuke Nakano , Verena A. Neufeld , Linqing Peng , Hung Q. Pham , Peter Pinski , Pavel Pokhilko , Zhichen Pu , Yubing Qian , Stephen Jon Quiton , Wanja T. Schulze , Thais R. Scott , Aniruddha Seal , James D. Serna , James E. T. Smith , Kori E. Smyser , Terrence Stahl , Chong Sun , Kevin J. Sung , Egor Trushin , Shiv Upadhyay , Ethan A. Vo , Thijs Vogels , Shirong Wang , Tai Wang , Xiao Wang , Xubo Wang , Yuanheng Wang , Mark Williamson , Junjie Yang , Hong-Zhou Ye , Chia-Nan Yeh , Haiyang Yu , Jincheng Yu , Victor Wen-zhe Yu , Chaoqun Zhang , Dayou Zhang , Yichi Zhang , Zijun Zhao , Zehao Zhou , Andrew J. Zhu , Tianyu Zhu , Timothy C. Berkelbach , Laura Gagliardi , Sandeep Sharma , Alexander Sokolov , Garnet Kin-Lic Chan

Meta-analysis aims to generalize results from multiple related statistical analyses through a combined analysis. While the natural outcome of a Bayesian study is a posterior distribution, traditional Bayesian meta-analyses proceed by…

It is argued that the Calibrated Bayesian (CB) approach to statistical inference capitalizes on the strength of Bayesian and frequentist approaches to statistical inference. In the CB approach, inferences under a particular model are…

Methodology · Statistics 2011-08-10 Roderick Little

Empirical Bayes methods offer valuable tools for a large class of compound decision problems. In this tutorial we describe some basic principles of the empirical Bayes paradigm stressing their frequentist interpretation. Emphasis is placed…

Methodology · Statistics 2024-04-05 Roger Koenker , Jiaying Gu

Dealing with biased data samples is a common task across many statistical fields. In survey sampling, bias often occurs due to unrepresentative samples. In causal studies with observational data, the treated versus untreated group…

Computation · Statistics 2019-07-29 Xiaojing Wang , Jingang Miao , Yunting Sun

Markov Chain Monte Carlo based Bayesian data analysis has now become the method of choice for analyzing and interpreting data in almost all disciplines of science. In astronomy, over the last decade, we have also seen a steady increase in…

Instrumentation and Methods for Astrophysics · Physics 2017-08-30 Sanjib Sharma

In these lecture notes, a selection of frequently required statistical tools will be introduced and illustrated. They allow to post-process data that stem from, e.g., large-scale numerical simulations (aka sequence of random experiments).…

Data Analysis, Statistics and Probability · Physics 2012-07-26 O. Melchert

fgivenx is a Python package for functional posterior plotting, currently used in astronomy, but will be of use to scientists performing any Bayesian analysis which has predictive posteriors that are functions. The source code for fgivenx is…

Instrumentation and Methods for Astrophysics · Physics 2019-08-06 Will Handley

In this work, we present bayesgrid, an open-source python toolbox for generating synthetic power transmission-distribution systems for any geographical location worldwide, using the publicly available data from OpenStreetMap (OSM). The…

Systems and Control · Electrical Eng. & Systems 2026-03-05 Henrique O. Caetano , Rahul K. Gupta , Carlos D. Maciel

Partial correlation coefficients are widely applied in the social sciences to evaluate the relationship between two variables after accounting for the influence of others. In this article, we present Bayes Factor Functions (BFFs) for…

Methodology · Statistics 2026-04-16 Saptati Datta

A Bayesian network is a graphical model that encodes probabilistic relationships among variables of interest. When used in conjunction with statistical techniques, the graphical model has several advantages for data analysis. One, because…

Machine Learning · Computer Science 2022-01-11 David Heckerman

Recent technological advances have made it possible to simultaneously measure multiple protein activities at the single cell level. With such data collected under different stimulatory or inhibitory conditions, it is possible to infer the…

Applications · Statistics 2011-08-04 Ruiyan Luo , Hongyu Zhao

Bayesian model selection provides a powerful framework for objectively comparing models directly from observed data, without reference to ground truth data. However, Bayesian model selection requires the computation of the marginal…

Methodology · Statistics 2024-01-17 Xiaohao Cai , Jason D. McEwen , Marcelo Pereyra

Bayesian methods are developed for the multivariate nonparametric regression problem where the domain is taken to be a compact Riemannian manifold. In terms of the latter, the underlying geometry of the manifold induces certain symmetries…

Statistics Theory · Mathematics 2007-06-13 Jean-François Angers , Peter T. Kim

The inverse problem of determining parameters in a model by comparing some output of the model with observations is addressed. This is a description for what hat to be done to use the Gauss-Markov-Kalman filter for the Bayesian estimation…

Numerical Analysis · Mathematics 2016-11-29 Hermann G. Matthies , Alexander Litvinenko , Bojana V. Rosic , Elmar Zander

We introduce a Python framework designed to automate the most common tasks associated with the extraction and upscaling of the statistics of single-impact crater functions to inform coefficients of continuum equations describing surface…

Computational Physics · Physics 2014-10-31 Scott A. Norris