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Following a long tradition of physicists who have noticed that the Ising model provides a general background to build realistic models of social interactions, we study a model of financial price dynamics resulting from the collective…

Statistical Mechanics · Physics 2008-12-02 Didier Sornette , Wei-Xing Zhou

It is oftentimes impossible to understand how machine learning models reach a decision. While recent research has proposed various technical approaches to provide some clues as to how a learning model makes individual decisions, they cannot…

Machine Learning · Computer Science 2017-05-25 Wenbo Guo , Kaixuan Zhang , Lin Lin , Sui Huang , Xinyu Xing

This paper presents a model of pedestrian crossing decisions, based on the theory of computational rationality. It is assumed that crossing decisions are boundedly optimal, with bounds on optimality arising from human cognitive limitations.…

Artificial Intelligence · Computer Science 2024-02-08 Yueyang Wang , Aravinda Ramakrishnan Srinivasan , Jussi P. P. Jokinen , Antti Oulasvirta , Gustav Markkula

Dynamics of Ising models is a much studied phenomenon and has emerged as a rich field of present-day research. An important dynamical feature commonly studied is the quenching phenomenon below the critical temperature. In this thesis we…

Statistical Mechanics · Physics 2016-03-08 Soham Biswas

We propose another integrate-and-fire model as a single neuron model. We study a globally coupled noisy integrate-and-fire model with inhibitory interaction using the Fokker-Planck equation and the Langevin equation, and find a reentrant…

Neurons and Cognition · Quantitative Biology 2009-11-11 H. Sakaguchi , S. Tobiishi

The equilibrium ensemble approach to disordered systems is used to investigate the critical behaviour of the two dimensional Ising model in presence of quenched random site dilution. The numerical transfer matrix technique in semi- infinite…

Statistical Mechanics · Physics 2009-10-31 Giorgio Mazzeo , Reimer Kuehn

Given a complex high-dimensional distribution over $\{\pm 1\}^n$, what is the best way to increase the expected number of $+1$'s by controlling the values of only a small number of variables? Such a problem is known as influence…

Data Structures and Algorithms · Computer Science 2024-01-05 Zongchen Chen , Elchanan Mossel

After having introduced the notion of universality in statistical mechanics and its importance for our comprehension of the macroscopic behavior of interacting systems, I review recent progress in the understanding of the scaling limit of…

Mathematical Physics · Physics 2021-11-01 Alessandro Giuliani

This paper considers neural representation through the lens of active inference, a normative framework for understanding brain function. It delves into how living organisms employ generative models to minimize the discrepancy between…

Neurons and Cognition · Quantitative Biology 2023-10-24 Giovanni Pezzulo , Leo D'Amato , Francesco Mannella , Matteo Priorelli , Toon Van de Maele , Ivilin Peev Stoianov , Karl Friston

Imitation learning is a powerful approach for learning autonomous driving policy by leveraging data from expert driver demonstrations. However, driving policies trained via imitation learning that neglect the causal structure of expert…

Future sequence represents the outcome after executing the action into the environment (i.e. the trajectory onwards). When driven by the information-theoretic concept of mutual information, it seeks maximally informative consequences.…

Machine Learning · Computer Science 2023-11-15 Jianfei Ma

Humans continually expand their learned knowledge to new domains and learn new concepts without any interference with past learned experiences. In contrast, machine learning models perform poorly in a continual learning setting, where input…

Machine Learning · Computer Science 2023-04-24 Mohammad Rostami , Aram Galstyan

In neuronal systems, inhibition contributes to stabilizing dynamics and regulating pattern formation. Through developing mean field theories of neuronal models, using complete graph networks, inhibition is commonly viewed as one ``control…

Disordered Systems and Neural Networks · Physics 2024-04-29 Gustavo Menesse , Osame Kinouchi

Decisions by humans depend on their estimations given some uncertain sensory data. These decisions can also be influenced by the behavior of others. Here we present a mathematical model to quantify this influence, inviting a further study…

Physics and Society · Physics 2012-09-25 Gabriel Madirolas , Alfonso Perez-Escudero , Gonzalo G. de Polavieja

This paper asks whether a bounded neural architecture can exhibit a meaningful division of labor between intuition and deliberation on a classic 64-item syllogistic reasoning benchmark. More broadly, the benchmark is relevant to ongoing…

Artificial Intelligence · Computer Science 2026-03-25 Laurence Anthony

The way the brain selects and controls actions is still widely debated. Mainstream approaches based on Optimal Control focus on stimulus-response mappings that optimize cost functions. Ideomotor theory and cybernetics propose a different…

Mechanisms underlying the emergence of orientation selectivity in the primary visual cortex are highly debated. Here we study the contribution of inhibition-dominated random recurrent networks to orientation selectivity, and more generally…

Neurons and Cognition · Quantitative Biology 2014-06-03 Sadra Sadeh , Stefano Cardanobile , Stefan Rotter

Here we describe an "information based exchange" model of brain function that ascribes to neocortex, basal ganglia, and thalamus distinct network functions. The model allows us to analyze whole brain system set point measures, such as the…

Neurons and Cognition · Quantitative Biology 2015-09-17 James Kozloski

Effective human-AI coordination requires artificial agents capable of exhibiting and responding to human-like behaviors while adapting to changing contexts. Imitation learning has emerged as one of the prominent approaches to build such…

Artificial Intelligence · Computer Science 2026-02-25 Rakshit Trivedi , Kartik Sharma , David C Parkes

World models learn the consequences of actions in vision-based interactive systems. However, in practical scenarios such as autonomous driving, there commonly exists noncontrollable dynamics independent of the action signals, making it…

Machine Learning · Computer Science 2022-12-20 Minting Pan , Xiangming Zhu , Yunbo Wang , Xiaokang Yang