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Unmeasured confounding is a threat to causal inference and gives rise to biased estimates. In this article, we consider the problem of individualized decision-making under partial identification. Firstly, we argue that when faced with…

Methodology · Statistics 2021-10-22 Yifan Cui

We propose a new measure of deviations from expected utility theory. For any positive number~$e$, we give a characterization of the datasets with a rationalization that is within~$e$ (in beliefs, utility, or perceived prices) of expected…

General Economics · Economics 2021-02-15 Federico Echenique , Kota Saito , Taisuke Imai

We propose a low-complexity sign-dependent metric for sequence selection and study the nonlinear shaping gain achievable for a given computational cost, establishing a benchmark for future research. Small gains are obtained with feasible…

Information Theory · Computer Science 2024-11-05 Stella Civelli , Marco Secondini

Information and uncertainty are closely related and extensively studied concepts in a number of scientific disciplines such as communication theory, probability theory, and statistics. Increasing the information arguably reduces the…

Probability · Mathematics 2011-08-09 Jiahua Chen

Machine learning has seen an increase in negative publicity in recent years, due to biased, unfair, and uninterpretable models. There is a rising interest in making machine learning models more fair for unprivileged communities, such as…

Machine Learning · Computer Science 2022-11-22 Yochem van Rosmalen , Florian van der Steen , Sebastiaan Jans , Daan van der Weijden

The Jensen inequality is a widely used tool in a multitude of fields, such as for example information theory and machine learning. It can be also used to derive other standard inequalities such as the inequality of arithmetic and geometric…

Information Theory · Computer Science 2021-11-15 Gerhard Wunder , Benedikt Groß , Rick Fritschek , Rafael F. Schaefer

In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the $F_\beta$ score, area under the precision-recall curve, Precision…

Machine Learning · Computer Science 2018-03-02 Alan Mackey , Xiyang Luo , Elad Eban

This paper focuses on a specific aspect of human visual discrimination from computationally generated solutions for CAAD ends. The bottleneck at work here concern informational ratios of discriminative rates over generative ones. The amount…

Human-Computer Interaction · Computer Science 2024-12-30 Pierre Cutellic

This work aims to rigorously define the values of perception, prediction, communication, and common sense in decision making. The defined quantities are decision-theoretic, but have information-theoretic analogues, e.g., they share some…

Information Theory · Computer Science 2026-01-13 Aolin Xu

The hypergeometric distributions have many important applications, but they have not had sufficient attention in information theory. Hypergeometric distributions can be approximated by binomial distributions or Poisson distributions. In…

Probability · Mathematics 2020-02-11 Peter Harremoës , František Matúš

Optimization of complex functions, such as the output of computer simulators, is a difficult task that has received much attention in the literature. A less studied problem is that of optimization under unknown constraints, i.e., when the…

Methodology · Statistics 2010-07-06 Robert B. Gramacy , Herbert K. H. Lee

Traditional approaches to data visualization have often focused on comparing different subsets of data, and this is reflected in the many techniques developed and evaluated over the years for visual comparison. Similarly, common workflows…

Human-Computer Interaction · Computer Science 2024-02-27 David Borland , Arran Zeyu Wang , David Gotz

Random-effects meta-analyses of observational studies can produce biased estimates if the synthesized studies are subject to unmeasured confounding. We propose sensitivity analyses quantifying the extent to which unmeasured confounding of…

Methodology · Statistics 2017-10-10 Maya B. Mathur , Tyler J. VanderWeele

We consider the problem of chance constrained optimization where it is sought to optimize a function and satisfy constraints, both of which are affected by uncertainties. The real world declinations of this problem are particularly…

A growing number of efforts aim to understand what people see when using a visualization. These efforts provide scientific grounding to complement design intuitions, leading to more effective visualization practice. However, published…

Human-Computer Interaction · Computer Science 2020-09-16 Madison Elliott , Christine Nothelfer , Cindy Xiong , Danielle Szafir

Understanding a visualization is a multi-level process. A reader must extract and extrapolate from numeric facts, understand how those facts apply to both the context of the data and other potential contexts, and draw or evaluate…

Human-Computer Interaction · Computer Science 2020-09-04 Alyxander Burns , Cindy Xiong , Steven Franconeri , Alberto Cairo , Narges Mahyar

Cognitive biases are systematic errors in judgment. Researchers in data visualizations have explored whether cognitive biases transfer to decision-making tasks with interactive data visualizations. At the same time, cognitive scientists…

Human-Computer Interaction · Computer Science 2020-10-01 Ryan Wesslen , Doug Markant , Alireza Karduni , Wenwen Dou

Information theory plays an indispensable role in the development of algorithm-independent impossibility results, both for communication problems and for seemingly distinct areas such as statistics and machine learning. While numerous…

Information Theory · Computer Science 2019-11-26 Jonathan Scarlett , Volkan Cevher

Bounded rationality, that is, decision-making and planning under resource limitations, is widely regarded as an important open problem in artificial intelligence, reinforcement learning, computational neuroscience and economics. This paper…

Machine Learning · Statistics 2015-12-22 Pedro A. Ortega , Daniel A. Braun , Justin Dyer , Kee-Eung Kim , Naftali Tishby

Recently there has been a significant interest in learning disentangled representations, as they promise increased interpretability, generalization to unseen scenarios and faster learning on downstream tasks. In this paper, we investigate…

Machine Learning · Computer Science 2019-10-30 Francesco Locatello , Gabriele Abbati , Tom Rainforth , Stefan Bauer , Bernhard Schölkopf , Olivier Bachem
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