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Related papers: Boltzmann State-Dependent Rationality

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The basic aspects of both Boltzmann-Gibbs (BG) and nonextensive statistical mechanics can be seen through three different stages. First, the proposal of an entropic functional ($S_{BG} =-k\sum_i p_i \ln p_i$ for the BG formalism) with the…

Statistical Mechanics · Physics 2016-08-31 Constantino Tsallis , Andre M. C. Souza

A general Boltzmann machine with continuous visible and discrete integer valued hidden states is introduced. Under mild assumptions about the connection matrices, the probability density function of the visible units can be solved for…

Machine Learning · Statistics 2020-01-29 Daniel Krefl , Stefano Carrazza , Babak Haghighat , Jens Kahlen

We illustrate the power of Experimental Mathematics and Symbolic Computation to suggest irrationality proofs of natural constants, and the determination of their irrationality measures. Sometimes such proofs can be fully automated, but…

Number Theory · Mathematics 2021-05-10 Doron Zeilberger , Wadim Zudilin

We have developed a coarse-grained formulation for modeling the dynamic behavior of cells quantitatively, based on stochasticity and heterogeneity, rather than on biochemical reactions. We treat each reaction as a continuous-time stochastic…

Molecular Networks · Quantitative Biology 2015-05-28 Shunsuke Teraguchi , Yutaro Kumagai , Alexis Vandenbon , Shizuo Akira , Daron M Standley

This paper proposes a suite of rationality measures and associated theory for reinforcement learning agents, a property increasingly critical yet rarely explored. We define an action in deployment to be perfectly rational if it maximises…

Machine Learning · Computer Science 2026-05-05 Kejiang Qian , Amos Storkey , Fengxiang He

The Information Bottleneck (IB) method (\cite{tishby2000information}) provides an insightful and principled approach for balancing compression and prediction for representation learning. The IB objective $I(X;Z)-\beta I(Y;Z)$ employs a…

Machine Learning · Computer Science 2019-10-23 Tailin Wu , Ian Fischer , Isaac L. Chuang , Max Tegmark

Latent reasoning represents a new development in Transformer language models that has shown potential in compressing reasoning lengths compared to chain-of-thought reasoning. By directly passing the information-rich previous final latent…

Machine Learning · Computer Science 2025-11-27 Alex Ning , Yen-Ling Kuo , Gabe Gomes

Many applications of intelligent systems require reasoning about the mental states of agents in the domain. We may want to reason about an agent's beliefs, including beliefs about other agents; we may also want to reason about an agent's…

Artificial Intelligence · Computer Science 2013-01-18 Brian Milch , Daphne Koller

In this work we study opinion formation in a population participating of a public debate with two distinct choices. We considered three distinct mechanisms of social interactions and individuals' behavior: conformity, nonconformity and…

Physics and Society · Physics 2015-12-11 Nuno Crokidakis , Paulo Murilo Castro de Oliveira

Robots interacting with the physical world plan with models of physics. We advocate that robots interacting with people need to plan with models of cognition. This writeup summarizes the insights we have gained in integrating computational…

Robotics · Computer Science 2017-07-05 Anca D. Dragan

This paper introduces the Dual-System Thinking (DST) model, a decision-theoretic framework that integrates psychological dual-process theories into economic modeling. A single cognitive weight parameter governs the relative influence of the…

Theoretical Economics · Economics 2026-05-28 Yusufcan Masatlioglu , Tri Phu Vu

The cognitive state of mind concerning a range of choices to be made can effectively be modelled in terms of an element of a high-dimensional Hilbert space. The dynamics of the state of mind resulting form information acquisition is…

Neurons and Cognition · Quantitative Biology 2026-03-17 Dorje C Brody

Rational decision making in its linguistic description means making logical decisions. In essence, a rational agent optimally processes all relevant information to achieve its goal. Rationality has two elements and these are the use of…

Artificial Intelligence · Computer Science 2019-02-14 Tshilidzi Marwala

It is critical to understand and model the behavior of individuals in a pandemic, as well as identify effective ways to guide people's behavior in order to better control the epidemic spread. However, current research fails to account for…

Social and Information Networks · Computer Science 2023-09-01 Wenxiang Dong , H. Vicky Zhao

Bayesian optimal experimental design (BOED) is a methodology to identify experiments that are expected to yield informative data. Recent work in cognitive science considered BOED for computational models of human behavior with tractable and…

Machine Learning · Computer Science 2021-11-01 Simon Valentin , Steven Kleinegesse , Neil R. Bramley , Michael U. Gutmann , Christopher G. Lucas

Multi-Agent Reinforcement Learning involves agents that learn together in a shared environment, leading to emergent dynamics sensitive to initial conditions and parameter variations. A Dynamical Systems approach, which studies the evolution…

Multiagent Systems · Computer Science 2025-01-03 David Goll , Jobst Heitzig , Wolfram Barfuss

Computational modeling plays an increasingly important role in neuroscience, highlighting the philosophical question of how computational models explain. In the context of neural network models for neuroscience, concerns have been raised…

Neurons and Cognition · Quantitative Biology 2021-04-15 Rosa Cao , Daniel Yamins

Text moderation for user generated content, which helps to promote healthy interaction among users, has been widely studied and many machine learning models have been proposed. In this work, we explore an alternative perspective by…

Computation and Language · Computer Science 2021-09-21 Fei Tan , Yifan Hu , Kevin Yen , Changwei Hu

This study proposes a tractable stochastic choice model to identify motivations for prosocial behavior, and to explore alternative motivations of deliberate randomization beyond ex-ante fairness concerns. To represent social preferences, we…

Theoretical Economics · Economics 2023-05-01 Yosuke Hashidate , Keisuke Yoshihara

In this paper, a novel process has been developed to realize high-level complex cognitive behaviors into reactive agents, efficiently. This method paves the way for deducting high-level reactive behaviors from low-level perceptive…

Robotics · Computer Science 2016-12-14 Matin Macktoobian , Ahmad T Khataminejad
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