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We present a simple method to obtain optimal posterior distributions and improve the quality of Bayesian inference with reduced human and computational effort. Bayes' Theorem is reformulated in the language of statistical mechanics, wherein…

Methodology · Statistics 2026-04-28 Alfred C. K. Farris

Most of previous machine learning algorithms are proposed based on the i.i.d. hypothesis. However, this ideal assumption is often violated in real applications, where selection bias may arise between training and testing process. Moreover,…

Computer Vision and Pattern Recognition · Computer Science 2018-08-24 Zheyan Shen , Peng Cui , Kun Kuang , Bo Li , Peixuan Chen

Predictive models that are developed in a regulated industry or a regulated application, like determination of credit worthiness, must be interpretable and rational (e.g., meaningful improvements in basic credit behavior must result in…

Machine Learning · Statistics 2018-06-13 Bob Vanderheyden , Jennifer Priestley

Empirical Bayes is a versatile approach to `learn from a lot' in two ways: first, from a large number of variables and second, from a potentially large amount of prior information, e.g. stored in public repositories. We review applications…

Methodology · Statistics 2018-03-19 Mark A. van de Wiel , Dennis E. te Beest , Magnus Münch

The Bayesian Classification represents a supervised learning method as well as a statistical method for classification. Assumes an underlying probabilistic model and it allows us to capture uncertainty about the model in a principled way by…

Machine Learning · Computer Science 2014-04-04 Vikramkumar , Vijaykumar B , Trilochan

We introduce Smart Bayes, a new classification framework that bridges generative and discriminative modeling by integrating likelihood-ratio-based generative features into a logistic-regression-style discriminative classifier. From the…

Machine Learning · Statistics 2025-12-02 Zachary Terner , Alexander Petersen , Yuedong Wang

The organizer of a machine learning competition faces the problem of maintaining an accurate leaderboard that faithfully represents the quality of the best submission of each competing team. What makes this estimation problem particularly…

Machine Learning · Computer Science 2015-02-17 Avrim Blum , Moritz Hardt

In quantitative genetics, statistical modeling techniques are used to facilitate advances in the understanding of which genes underlie agronomically important traits and have enabled the use of genome-wide markers to accelerate genetic…

Methodology · Statistics 2021-10-29 Suyoung Park , Alexander E. Lipka , Daniel J. Eck

We present a family of expectation-maximization (EM) algorithms for binary and negative-binomial logistic regression, drawing a sharp connection with the variational-Bayes algorithm of Jaakkola and Jordan (2000). Indeed, our results allow a…

Computation · Statistics 2013-06-04 James G. Scott , Liang Sun

For a given causal question, it is important to efficiently decide which causal inference method to use for a given dataset. This is challenging because causal methods typically rely on complex and difficult-to-verify assumptions, and…

Machine Learning · Computer Science 2023-11-09 Shantanu Gupta , Cheng Zhang , Agrin Hilmkil

Discovery of an accurate causal Bayesian network structure from observational data can be useful in many areas of science. Often the discoveries are made under uncertainty, which can be expressed as probabilities. To guide the use of such…

Artificial Intelligence · Computer Science 2017-12-27 Fattaneh Jabbari , Mahdi Pakdaman Naeini , Gregory F. Cooper

As mobile robots are increasingly deployed in human environments, enabling them to predict how people perceive them is critical for socially adaptable navigation. Predicting perceptions is challenging for two main reasons: (1) HRI…

Robotics · Computer Science 2026-03-13 Maximilian Diehl , Nathan Tsoi , Gustavo Chavez , Karinne Ramirez-Amaro , Marynel Vázquez

Background: The proportional odds (PO) model is the most common analytic method for ordinal outcomes in randomised controlled trials. While parameter estimates obtained under departures from PO can be interpreted as an average odds ratio,…

Methodology · Statistics 2025-07-30 Chris J. Selman , Katherine J. Lee , Steven Y. C. Tong , Mark Jones , Robert K. Mahar

Sensitivity forecasts inform the design of experiments and the direction of theoretical efforts. To arrive at representative results, Bayesian forecasts should marginalize their conclusions over uncertain parameters and noise realizations…

Instrumentation and Methods for Astrophysics · Physics 2024-05-24 T. Gessey-Jones , W. J. Handley

We consider a model of Bayesian observational learning in which a sequence of agents receives a private signal about an underlying binary state of the world. Each agent makes a decision based on its own signal and its observations of…

Machine Learning · Computer Science 2025-04-29 Shuo Wu , Pawan Poojary , Randall Berry

Learning behavioral patterns from observational data has been a de-facto approach to motion forecasting. Yet, the current paradigm suffers from two shortcomings: brittle under distribution shifts and inefficient for knowledge transfer. In…

Machine Learning · Computer Science 2022-04-06 Yuejiang Liu , Riccardo Cadei , Jonas Schweizer , Sherwin Bahmani , Alexandre Alahi

For autonomous agents to successfully operate in the real world, anticipation of future events and states of their environment is a key competence. This problem can be formalized as a sequence prediction problem, where a number of…

Computer Vision and Pattern Recognition · Computer Science 2018-10-01 Apratim Bhattacharyya , Mario Fritz , Bernt Schiele

In this work, we consider a manufactory process which can be described by a multiple-instance logistic regression model. In order to compute the maximum likelihood estimation of the unknown coefficient, an expectation-maximization algorithm…

Decision-makers often deploy the best-performing treatment from a randomized experiment, creating a winner's curse: selection favors treatments whose observed outcomes are high partly because of statistical noise, so the na\"ive estimate of…

Econometrics · Economics 2026-05-20 Ron Berman , Walter W. Zhang , Hangcheng Zhao

Predictive algorithms inform consequential decisions in settings with selective labels: outcomes are observed only for units selected by past decision makers. This creates an identification problem under unobserved confounding -- when…

Econometrics · Economics 2025-11-07 Ashesh Rambachan , Amanda Coston , Edward Kennedy
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