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Progress in deep reinforcement learning (RL) research is largely enabled by benchmark task environments. However, analyzing the nature of those environments is often overlooked. In particular, we still do not have agreeable ways to measure…

Machine Learning · Computer Science 2021-06-01 Hiroki Furuta , Tatsuya Matsushima , Tadashi Kozuno , Yutaka Matsuo , Sergey Levine , Ofir Nachum , Shixiang Shane Gu

A recurring debate in the philosophy of statistics concerns what, exactly, should count as a measure of evidence for or against a given hypothesis. P-values, likelihood ratios, and Bayes factors all have their defenders. In this paper we…

Methodology · Statistics 2026-03-26 Ben Chugg , Aaditya Ramdas , Peter Grünwald

We calculate measures of economic complexity for US metropolitan areas for the years 2007-2015 based on industry employment data. We show that the concept of economic complexity translates well from the cross-country to the regional…

General Economics · Economics 2021-04-14 Benedikt S. L. Fritz , Robert A. Manduca

This paper is a survey dedicated to the analogy between the notions of {\it complexity} in theoretical computer science and {\it energy} in physics. This analogy is not metaphorical: I describe three precise mathematical contexts, suggested…

Computational Complexity · Computer Science 2015-06-15 Yuri I. Manin

For many tasks, the reward function is inaccessible to introspection or too complex to be specified procedurally, and must instead be learned from user data. Prior work has evaluated learned reward functions by evaluating policies optimized…

Machine Learning · Computer Science 2021-03-19 Adam Gleave , Michael Dennis , Shane Legg , Stuart Russell , Jan Leike

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 congruence between affective experiences and physiological changes has been a debated topic for centuries. Recent technological advances in measurement and data analysis provide hope to solve this epic challenge. Open science and open…

Machine Learning · Computer Science 2023-12-27 Felix Dollack , Kiyoshi Kiyokawa , Huakun Liu , Monica Perusquia-Hernandez , Chirag Raman , Hideaki Uchiyama , Xin Wei

The relation between the requirement of efficient implementability and the product state representation of numbers is examined. Numbers are defined to be any model of the axioms of number theory or arithmetic. Efficient implementability…

Quantum Physics · Physics 2009-11-07 Paul Benioff

The risk of a financial position is usually summarized by a risk measure. As this risk measure has to be estimated from historical data, it is important to be able to verify and compare competing estimation procedures. In statistical…

Risk Management · Quantitative Finance 2014-04-01 Johanna F. Ziegel

A place to live is one of the most crucial necessities for all living organisms since the advent of life on planet Earth. The nature of homes has changed considerably over time. At the very early stages, human begins lived in natural places…

Other Computer Science · Computer Science 2020-06-22 Arash Mehrjou

Algorithms are unavoidable in our social lives, yet often perpetuate social injustices. The popular means of addressing this is through algorithmic reformism: fine-tuning algorithms themselves to be more fair, accountable, and transparent.…

Computers and Society · Computer Science 2024-12-10 Andrew Balch

Most community detection algorithms from the literature work as optimization tools that minimize a given \textit{fitness function}, while assuming that each node belongs to a single community. Since there is no hard concept of what a…

Neural and Evolutionary Computing · Computer Science 2014-06-11 Fabricio Olivetti de Franca , Guilherme Palermo Coelho

The goal of a learning algorithm is to receive a training data set as input and provide a hypothesis that can generalize to all possible data points from a domain set. The hypothesis is chosen from hypothesis classes with potentially…

Machine Learning · Statistics 2023-03-29 Soosan Beheshti , Mahdi Shamsi

We propose a unified class of calibration weighting methods based on weighted generalized entropy to handle missing at random (MAR) data with improved stability and efficiency. The proposed generalized entropy calibration (GEC) formulates…

Methodology · Statistics 2025-11-07 Yonghyun Kwon , Jae Kwang Kim , Yumou Qiu

This is a chapter in the Encyclopedia of Robotics. It is devoted to the study of complexity of complete (or exact) algorithms for robot motion planning. The term ``complete'' indicates that an approach is guaranteed to find the correct…

Robotics · Computer Science 2020-03-31 Kiril Solovey

The term {\em complexity} is used informally both as a quality and as a quantity. As a quality, complexity has something to do with our ability to understand a system or object -- we understand simple systems, but not complex ones. On…

Adaptation and Self-Organizing Systems · Physics 2009-11-19 Russell K. Standish

We present a novel metric designed, among other applications, to quantify biased behaviors of machine learning models. As its core, the metric consists of a new similarity metric between score distributions that balances both their general…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Imanol Solano , Alejandro Peña , Aythami Morales , Julian Fierrez , Ruben Tolosana , Francisco Zamora-Martinez , Javier San Agustin

Effective complexity measures the information content of the regularities of an object. It has been introduced by M. Gell-Mann and S. Lloyd to avoid some of the disadvantages of Kolmogorov complexity, also known as algorithmic information…

Information Theory · Computer Science 2010-11-22 Nihat Ay , Markus Mueller , Arleta Szkola

Explainability is needed to establish confidence in machine learning results. Some explainable methods take a post hoc approach to explain the weights of machine learning models, others highlight areas of the input contributing to…

Machine Learning · Computer Science 2024-07-15 Paul Whitten , Francis Wolff , Chris Papachristou

A two-parameter family of complexity measures $\tilde{C}^{(\alpha,\beta)}$ based on the R\'enyi entropies is introduced and characterized by a detailed study of its mathematical properties. This family is the generalization of a continuous…

Quantum Physics · Physics 2015-05-13 R. Lopez-Ruiz , A. Nagy , E. Romera , J. Sanudo
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