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Assessing an AI system's behavior-particularly in Explainable AI Systems-is sometimes done empirically, by measuring people's abilities to predict the agent's next move-but how to perform such measurements? In empirical studies with humans,…

Among the remarkable emergent capabilities of large language models (LMs) is free-text rationalization; beyond a certain scale, large LMs are capable of generating seemingly useful rationalizations, which in turn, can dramatically enhance…

Computation and Language · Computer Science 2023-05-15 Brihi Joshi , Ziyi Liu , Sahana Ramnath , Aaron Chan , Zhewei Tong , Shaoliang Nie , Qifan Wang , Yejin Choi , Xiang Ren

There are various approaches to the problem of how one is supposed to conduct a statistical analysis. Different analyses can lead to contradictory conclusions in some problems so this is not a satisfactory state of affairs. It seems that…

Statistics Theory · Mathematics 2019-06-25 Michael Evans

Transparency is an essential requirement of machine learning based decision making systems that are deployed in real world. Often, transparency of a given system is achieved by providing explanations of the behavior and predictions of the…

Machine Learning · Computer Science 2021-05-18 André Artelt , Barbara Hammer

Rational functions of total degree $l$ in n variables have a representation in the Bernstein form defined over $n$ dimensional simplex. The range of a rational function is bounded by the smallest and the largest rational Bernstein…

Optimization and Control · Mathematics 2019-06-27 Tareq Hamadneh , Hassan Al-Zoubi , Hamza Alzaareer , Rafael Wisniewski

Measures of irrationality are a numerical way of quantifying how far a given variety is from being rational (or rationally connected, uniruled, etc.). In the last two decades, there has been renewed interest in the study of these…

Algebraic Geometry · Mathematics 2025-09-05 Nathan Chen , Olivier Martin

Reasoning is a hallmark of human intelligence, enabling adaptive decision-making in complex and unfamiliar scenarios. In contrast, machine intelligence remains bound to training data, lacking the ability to dynamically refine solutions at…

Computer Vision and Pattern Recognition · Computer Science 2025-06-30 Shaheer U. Saeed , Yipei Wang , Veeru Kasivisvanathan , Brian R. Davidson , Matthew J. Clarkson , Yipeng Hu , Daniel C. Alexander

A perfectly rational decision-maker chooses the best action with the highest utility gain from a set of possible actions. The optimality principles that describe such decision processes do not take into account the computational costs of…

Artificial Intelligence · Computer Science 2013-12-25 Jordi Grau-Moya , Daniel A. Braun

In this paper we propose a classification of crowd models in built environments based on the assumed pedestrian ability to foresee the movements of other walkers. At the same time, we introduce a new family of macroscopic models, which make…

Optimization and Control · Mathematics 2015-04-22 Emiliano Cristiani , Fabio S. Priuli , Andrea Tosin

Rational respondents to economic surveys may report as a point forecast any measure of the central tendency of their (possibly latent) predictive distribution, for example the mean, median, mode, or any convex combination thereof. We…

Econometrics · Economics 2024-07-24 Timo Dimitriadis , Andrew J. Patton , Patrick W. Schmidt

Teaming is the process of establishing connections among agents within a system to enable collaboration toward achieving a collective goal. This paper examines teaming in the context of a network of agents learning to coordinate with…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Zhewei Wang , Olugbenga Moses Anubi , Marcos M. Vasconcelos

What does it mean to claim that a physical or natural system computes? One answer, endorsed here, is that computing is about programming a system to behave in different ways. This paper offers an account of what it means for a physical…

Information Theory · Computer Science 2013-06-18 Hector Zenil

As large language models (LLMs) like GPT become increasingly prevalent, it is essential that we assess their capabilities beyond language processing. This paper examines the economic rationality of GPT by instructing it to make budgetary…

General Economics · Economics 2023-11-07 Yiting Chen , Tracy Xiao Liu , You Shan , Songfa Zhong

Philosophy of science attempts to describe all parts of the scientific process in a general way in order to facilitate the description, execution and improvements of this process. So far, all proposed philosophies have only covered existing…

Logic in Computer Science · Computer Science 2023-02-07 Michał J. Gajda

Calibration is a frequently invoked concept when useful label probability estimates are required on top of classification accuracy. A calibrated model is a function whose values correctly reflect underlying label probabilities. Calibration…

Machine Learning · Computer Science 2024-12-03 Alireza Torabian , Ruth Urner

People are often confronted with problems whose complexity exceeds their cognitive capacities. To deal with this complexity, individuals and managers can break complex problems down into a series of subgoals. Which subgoals are most…

Artificial Intelligence · Computer Science 2023-02-07 Nishad Singhi , Florian Mohnert , Ben Prystawski , Falk Lieder

The problem of quantification of emotions in the choice between alternatives is considered. The alternatives are evaluated in a dual manner. From one side, they are characterized by rational features defining the utility of each…

Artificial Intelligence · Computer Science 2022-03-07 V. I. Yukalov

It has been proposed that human physical reasoning consists largely of running "physics engines in the head" in which the future trajectory of the physical system under consideration is computed precisely using accurate scientific theories.…

Artificial Intelligence · Computer Science 2015-06-17 Ernest Davis , Gary Marcus

In the literature, we have various ways of proving irrationality of a real number. In this survey article, we shall emphasize on a particular criterion to prove irrationality. This is called nice approximation of a number by a sequence of…

Number Theory · Mathematics 2022-06-28 Tirthankar Bhattacharyya , Soham Bakshi , Arka Das

Conversational implicatures are usually described as being licensed by the disobeying or flouting of a Principle of Cooperation. However, the specification of this principle has proved computationally elusive. In this paper we suggest that…

cmp-lg · Computer Science 2007-05-23 Mark Lee