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In recent years, there have been many computational simulations of spontaneous neural dynamics. Here, we explore a model of spontaneous neural dynamics and allow it to control a virtual agent moving in a simple environment. This setup…

Neurons and Cognition · Quantitative Biology 2016-08-19 Peter J. Hellyer , Claudia Clopath , Angie A. Kehagia , Federico E. Turkheimer , Robert Leech

We consider the general class of time-homogeneous stochastic dynamical systems, both discrete and continuous, and study the problem of learning a representation of the state that faithfully captures its dynamics. This is instrumental to…

Machine Learning · Computer Science 2024-03-15 Vladimir R. Kostic , Pietro Novelli , Riccardo Grazzi , Karim Lounici , Massimiliano Pontil

The task of modelling and forecasting a dynamical system is one of the oldest problems, and it remains challenging. Broadly, this task has two subtasks - extracting the full dynamical information from a partial observation; and then…

Dynamical Systems · Mathematics 2022-08-16 Tyrus Berry , Suddhasattwa Das

This paper introduces a biomathematical model designed to describe the internal dynamics of dream formation and spontaneous cognitive processes. The model incorporates neurocognitive factors such as dissatisfaction, acceptance, forgetting,…

Neurons and Cognition · Quantitative Biology 2025-05-12 Shirmohammad Tavangari , Sajjad Janfaza , Zahra Shakarami , Aref Yelghi

We apply the physics-learning duality to molecular systems by complementing the physical description of interacting particles with a dual learning description, where each particle is modeled as an agent minimizing a loss function. In the…

Chemical Physics · Physics 2025-04-30 Yaroslav Gusev , Vitaly Vanchurin

This paper proposes a new general approach based on Bayesian networks to model the human behaviour. This approach represents human behaviour with probabilistic cause-effect relations based on knowledge, but also with conditional…

Artificial Intelligence · Computer Science 2016-05-20 Khadija Tijani , Stephane Ploix , Benjamin Haas , Julie Dugdale , Quoc Dung Ngo

Complex adaptive agents consistently achieve their goals by solving problems that seem to require an understanding of causal information, information pertaining to the causal relationships that exist among elements of combined…

Artificial Intelligence · Computer Science 2024-07-02 Filippo Torresan , Manuel Baltieri

High-fidelity quantum dynamics emulators can be used to predict the time evolution of complex physical systems. Here, we introduce an efficient training framework for constructing machine learning-based emulators. Our approach is based on…

Quantum Physics · Physics 2022-03-22 Yu Yao , Chao Cao , Stephan Haas , Mahak Agarwal , Divyam Khanna , Marcin Abram

By and large the process of learning concepts that are embedded in time is regarded as quite a mature research topic. Hidden Markov models, recurrent neural networks are, amongst others, successful approaches to learning from temporal data.…

Machine Learning · Computer Science 2019-07-16 Alessandro Betti , Marco Gori

Beings, animate or inanimate, are dynamical systems which continuously interact with the (external and /or internal) environment through the physical or physiologic interfaces of their Kantian (representational) realities. And the nature of…

Neurons and Cognition · Quantitative Biology 2019-09-03 Jahan N. Schad

Humans are expert explorers. Understanding the computational cognitive mechanisms that support this efficiency can advance the study of the human mind and enable more efficient exploration algorithms. We hypothesize that humans explore new…

Machine Learning · Computer Science 2022-03-21 Sugandha Sharma , Aidan Curtis , Marta Kryven , Josh Tenenbaum , Ila Fiete

The search for universal laws that help establish a relationship between dynamics and computation is driven by recent expansionist initiatives in biologically inspired computing. A general setting to understand both such dynamics and…

Machine Learning · Computer Science 2020-09-17 G Manjunath

In recent years, nonlinear dynamic system identification using artificial neural networks has garnered attention due to its broad potential applications across science and engineering. However, purely data-driven approaches often struggle…

Machine Learning · Computer Science 2025-11-06 Fabian J. Roth , Dominik K. Klein , Maximilian Kannapinn , Jan Peters , Oliver Weeger

A stochastic representation of the dynamics of open quantum systems, suitable for non-perturbative system-reservoir interaction, non-Markovian effects and arbitrarily driven systems is presented. It includes the case of driving on…

Statistical Mechanics · Physics 2016-10-05 Jürgen T. Stockburger

Recently, there has been an increasing interest in modelling and computation of physical systems with neural networks. Hamiltonian systems are an elegant and compact formalism in classical mechanics, where the dynamics is fully determined…

Numerical Analysis · Mathematics 2022-06-28 Elena Celledoni , Andrea Leone , Davide Murari , Brynjulf Owren

We propose a method for learning dynamical systems from high-dimensional empirical data that combines variational autoencoders and (spatio-)temporal attention within a framework designed to enforce certain scientifically-motivated…

Machine Learning · Computer Science 2023-06-22 Kai Lagemann , Christian Lagemann , Sach Mukherjee

Predicting future observations plays a central role in machine learning, biology, economics, and many other fields. It lies at the heart of organizational principles such as the variational free energy principle and has even been shown --…

Machine Learning · Computer Science 2025-04-09 Lukas J. Fiderer , Paul C. Barth , Isaac D. Smith , Hans J. Briegel

Active inference is a normative framework for explaining behaviour under the free energy principle -- a theory of self-organisation originating in neuroscience. It specifies neuronal dynamics for state-estimation in terms of a descent on…

Neurons and Cognition · Quantitative Biology 2021-10-26 Lancelot Da Costa , Thomas Parr , Biswa Sengupta , Karl Friston

Predicting the outcomes of cyber-physical systems with multiple human interactions is a challenging problem. This article reviews a game theoretical approach to address this issue, where reinforcement learning is employed to predict the…

Multiagent Systems · Computer Science 2019-10-14 Mert Albaba , Yildiray Yildiz

The Hopfield model provides a mathematically idealized yet insightful framework for understanding the mechanisms of memory storage and retrieval in the human brain. This model has inspired four decades of extensive research on learning and…

Neurons and Cognition · Quantitative Biology 2025-05-14 Simone Betteti , Giacomo Baggio , Francesco Bullo , Sandro Zampieri