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The combination of informetric analysis and information retrieval allows a twofold application. (1) While in-formetrics analysis is primarily used to gain insights into a scientific domain, it can be used to build recommen-dation or…

Information Retrieval · Computer Science 2013-06-10 Tamara Heck , Philipp Schaer

Many practical studies rely on hypothesis testing procedures applied to data sets with missing information. An important part of the analysis is to determine the impact of the missing data on the performance of the test, and this can be…

Methodology · Statistics 2011-02-15 Dan L. Nicolae , Xiao-Li Meng , Augustine Kong

The tension between qualitative theorizing and quantitative methods is pervasive in the social sciences, and poses a constant challenge to empirical research. But in science studies as an interdisciplinary specialty, there are additional…

Digital Libraries · Computer Science 2015-05-25 Loet Leydesdorff

DeGroot (1962) developed a general framework for constructing Bayesian measures of the expected information that an experiment will provide for estimation. We propose an analogous framework for measures of information for hypothesis…

Statistics Theory · Mathematics 2019-06-18 David E. Jones , Xiao-Li Meng

Forecasting techniques for assessing the power of future experiments to discriminate between theories or discover new laws of nature are of great interest in many areas of science. In this paper, we introduce a Bayesian forecasting method…

Data Analysis, Statistics and Probability · Physics 2024-09-24 Mohammad Hossein Namjoo

Most of metric learning approaches are dedicated to be applied on data described by feature vectors, with some notable exceptions such as times series, trees or graphs. The objective of this paper is to propose a metric learning algorithm…

Machine Learning · Computer Science 2018-07-03 Jiajun Pan , Hoel Le Capitaine , Philippe Leray

In mathematics information is a number that measures uncertainty (entropy) based on a probabilistic distribution, often of an obscure origin. In real life language information is a datum, a statement, more precisely, a formula. But such a…

Artificial Intelligence · Computer Science 2022-05-17 Anatol Slissenko

Although there is growing interest in measuring integrated information in computational and cognitive systems, current methods for doing so in practice are computationally unfeasible. Existing and novel integration measures are investigated…

Neurons and Cognition · Quantitative Biology 2017-02-08 Max Tegmark

The efficacy of mathematical models heavily depends on the quality of the training data, yet collecting sufficient data is often expensive and challenging. Many modeling applications require inferring parameters only as a means to predict…

At the heart of path-planning methods for autonomous robotic exploration is a heuristic which encourages exploring unknown regions of the environment. Such heuristics are typically computed using frontier-based or information-theoretic…

Robotics · Computer Science 2020-11-11 Di Deng , Runlin Duan , Jiahong Liu , Kuangjie Sheng , Kenji Shimada

We incorporate into the empirical measure the auxiliary information given by a finite collection of expectation in an optimal information geometry way. This allows to unify several methods exploiting a side information and to uniquely…

Statistics Theory · Mathematics 2021-07-02 Sofiane Arradi-Alaoui

The conventional approach to Bayesian decision-theoretic experiment design involves searching over possible experiments to select a design that maximizes the expected value of a specified utility function. The expectation is over the joint…

Methodology · Statistics 2023-04-18 Tommie A. Catanach , Niladri Das

These lectures deal with the problem of inductive inference, that is, the problem of reasoning under conditions of incomplete information. Is there a general method for handling uncertainty? Or, at least, are there rules that could in…

Data Analysis, Statistics and Probability · Physics 2016-09-08 Ariel Caticha

Information theory provides a mathematical foundation to measure uncertainty in belief. Belief is represented by a probability distribution that captures our understanding of an outcome's plausibility. Information measures based on…

Information Theory · Computer Science 2020-01-17 Jed A. Duersch , Thomas A. Catanach

We study information theoretic methods for ranking biomarkers. In clinical trials there are two, closely related, types of biomarkers: predictive and prognostic, and disentangling them is a key challenge. Our first step is to phrase…

Machine Learning · Statistics 2016-12-06 Konstantinos Sechidis , Emily Turner , Paul D. Metcalfe , James Weatherall , Gavin Brown

Selecting an optimal subset of features or instances under an information theoretic criterion has become an effective preprocessing strategy for reducing data complexity while preserving essential information. This study investigates two…

Optimization and Control · Mathematics 2025-08-25 Taotao He , Jun Luo , Junkai Zhao

In inverse problems, one attempts to infer spatially variable functions from indirect measurements of a system. To practitioners of inverse problems, the concept of "information" is familiar when discussing key questions such as which parts…

Numerical Analysis · Mathematics 2025-02-12 Wolfgang Bangerth , Chris R. Johnson , Dennis K. Njeru , Bart van Bloemen Waanders

Measuring science is based on comparing articles to similar others. However, keyword-based groups of thematically similar articles are dominantly small. These small sizes keep the statistical errors of comparisons high. With the growing…

Digital Libraries · Computer Science 2014-11-13 Adam Szanto-Varnagy , Peter Pollner , Tamas Vicsek , Illes J. Farkas

Generating free-text rationales is a promising step towards explainable NLP, yet evaluating such rationales remains a challenge. Existing metrics have mostly focused on measuring the association between the rationale and a given label. We…

Computation and Language · Computer Science 2023-06-05 Hanjie Chen , Faeze Brahman , Xiang Ren , Yangfeng Ji , Yejin Choi , Swabha Swayamdipta

The information bottleneck (IB) method is a technique designed to extract meaningful information related to one random variable from another random variable, and has found extensive applications in machine learning problems. In this paper,…

Information Theory · Computer Science 2025-07-29 Lingyi Chen , Shitong Wu , Sicheng Xu , Huihui Wu , Wenyi Zhang