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This paper re-examines the first normalized incomplete moment, a well-established measure of inequality with wide applications in economic and social sciences. Despite the popularity of the measure itself, existing statistical inference…

Methodology · Statistics 2025-08-26 Jiannan Lu , Peng Ding , Anqi Zhao

There are enormous amount of examples of Computation in nature, exemplified across multiple species in biology. One crucial aim for these computations across all life forms their ability to learn and thereby increase the chance of their…

Machine Learning · Computer Science 2013-12-30 Nabarun Mondal , Partha P. Ghosh

We first partly develop a mathematical notion of stable consistency intended to reflect the actual consistency property of human beings. Then we give a generalization of the first and second G\"odel incompleteness theorem to stably…

Logic in Computer Science · Computer Science 2022-08-16 Yasha Savelyev

We introduce a formal notion of masking fault-tolerance between probabilistic transition systems using stochastic games. These games are inspired in bisimulation games, but they also take into account the possible faulty behavior of…

Logic in Computer Science · Computer Science 2023-09-15 Pablo F. Castro , Pedro R. D'Argenio , Ramiro Demasi , Luciano Putruele

The objective of this paper is to assess the quality of explanation heatmaps for image classification tasks. To assess the quality of explainability methods, we approach the task through the lens of accuracy and stability. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2025-09-15 Lassi Raatikainen , Esa Rahtu

The solution to fine tuning is one of the principal motivations for supersymmetry. However constraints on the parameter space of the Minimal Supersymmetric Standard Model (MSSM) suggest it may also require fine tuning (although to a much…

High Energy Physics - Phenomenology · Physics 2007-10-15 Peter Athron , D. J. Miller

For the last ten years, CAPTCHAs have been widely used by websites to prevent their data being automatically updated by machines. By supposedly allowing only humans to do so, CAPTCHAs take advantage of the reverse Turing test (TT), knowing…

Computer Vision and Pattern Recognition · Computer Science 2014-09-04 Ahmad B. A. Hassanat

Trustworthy machine learning is of primary importance to the practical deployment of deep learning models. While state-of-the-art models achieve astonishingly good performance in terms of accuracy, recent literature reveals that their…

Machine Learning · Computer Science 2023-02-07 Ailin Deng , Shen Li , Miao Xiong , Zhirui Chen , Bryan Hooi

The pseudoinverse of a matrix, a generalized notion of the inverse, is of fundamental importance in linear algebra and, thereby, in many different fields. Despite its proven existence, an algorithmic approach is typically necessary to…

Numerical Analysis · Mathematics 2026-01-21 Holger Boche , Adalbert Fono , Gitta Kutyniok

We describe a method to axiomatize computations in deterministic Turing machines. When applied to computations in non-deterministic Turing machines, this method may produce contradictory (and therefore trivial) theories, considering…

Quantum Physics · Physics 2008-07-27 Juan C. Agudelo , Walter Carnielli

In the recent years self-testing has grown into a rich and active area of study with applications ranging from practical verification of quantum devices to deep complexity theoretic results. Self-testing allows a classical verifier to…

Quantum Physics · Physics 2023-07-12 Laura Mančinska , Simon Schmidt

When interpreting A/B tests, we typically focus only on the statistically significant results and take them by face value. This practice, termed post-selection inference in the statistical literature, may negatively affect both point…

Applications · Statistics 2021-06-01 Alex Deng , Yicheng Li , Jiannan Lu , Vivek Ramamurthy

A test oracle determines whether a system behaves correctly for a given input. Automatic testing techniques rely on an automated test oracle to test the system without user interaction. Important families of automated test oracles include…

Software Engineering · Computer Science 2022-10-21 Manuel Rigger , Zhendong Su

In this paper, we propose a new constraint, called shift-consistency, for solving matrix/tensor completion problems in the context of recommender systems. Our method provably guarantees several key mathematical properties: (1) satisfies a…

Information Retrieval · Computer Science 2023-10-18 Tung Nguyen , Jeffrey Uhlmann

This note proposes a procedure for enhancing the quality of probabilistic prediction algorithms via betting against their predictions. It is inspired by the success of the conformal test martingales that have been developed recently.

Machine Learning · Computer Science 2021-05-19 Vladimir Vovk

There is a useful counterpart of conformal prediction for e-values, called conformal e-prediction. Conformal prediction can serve as basis for testing the assumption of exchangeability, leading to conformal testing. Similarly, conformal…

Statistics Theory · Mathematics 2024-11-05 Vladimir Vovk , Ilia Nouretdinov , Alex Gammerman

Recent research suggests that neural machine translation achieves parity with professional human translation on the WMT Chinese--English news translation task. We empirically test this claim with alternative evaluation protocols,…

Computation and Language · Computer Science 2018-08-22 Samuel Läubli , Rico Sennrich , Martin Volk

We administer a Turing Test to AI Chatbots. We examine how Chatbots behave in a suite of classic behavioral games that are designed to elicit characteristics such as trust, fairness, risk-aversion, cooperation, \textit{etc.}, as well as how…

Artificial Intelligence · Computer Science 2024-01-02 Qiaozhu Mei , Yutong Xie , Walter Yuan , Matthew O. Jackson

The "easy" problem of cognitive science is explaining how and why we can do what we can do. The "hard" problem is explaining how and why we feel. Turing's methodology for cognitive science (the Turing Test) is based on doing: Design a model…

Artificial Intelligence · Computer Science 2012-06-19 Stevan Harnad

Key doctrines, including novelty (patent), originality (copyright), and distinctiveness (trademark), turn on a shared empirical question: whether a body of work is meaningfully distinct from a relevant reference class. Yet analyses…

Computers and Society · Computer Science 2026-01-27 Anirban Mukherjee , Hannah Hanwen Chang