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This paper models the dynamics of a large set of interacting neurons within the framework of statistical field theory. We use a method initially developed in the context of statistical field theory [44] and later adapted to complex systems…

神经元与认知 · 定量生物学 2022-05-25 Pierre Gosselin , Aïleen Lotz , Marc Wambst

We provide a numerical study of the macroscopic model of [3] derived from an agent-based model for a system of particles interacting through a dynamical network of links. Assuming that the network remodelling process is very fast, the…

Population dynamics deals with the collective phenomena of living organisms, and it has attracted much attention since it is expected to explain how not only living organisms but also human beings have been adapted to varying environments.…

统计力学 · 物理学 2019-04-23 Hideyuki Miyahara

Small random perturbations may have a dramatic impact on the long time evolution of dynamical systems, and large deviation theory is often the right theoretical framework to understand these effects. At the core of the theory lies the…

数值分析 · 数学 2017-10-11 Tobias Grafke , Tobias Schaefer , Eric Vanden-Eijnden

One of the defining features of living systems is their adaptability to changing environmental conditions. This requires organisms to extract temporal and spatial features of their environment, and use that information to compute the…

神经元与认知 · 定量生物学 2024-02-27 Maria Sol Vidal-Saez , Oscar Vilarroya , Jordi Garcia-Ojalvo

In many scientific contexts, different investigators experiment with or observe different variables with data from a domain in which the distinct variable sets might well be related. This sort of fragmentation sometimes occurs in molecular…

人工智能 · 计算机科学 2019-09-05 Shuyan Wang

Starting from the working hypothesis that both physics and the corresponding mathematics have to be described by means of discrete concepts on the Planck scale, one of the many problems one has to face in this enterprise is to find the…

高能物理 - 理论 · 物理学 2008-11-26 Manfred Requardt

The "theory of open sub-functorial dynamics" is a new theory that defines interacting generalized dynamical systems. The interactions between these dynamics produce new dynamics which, of course, can then enter into other interactions. A…

动力系统 · 数学 2016-08-31 Stéphane Dugowson

Dynamical models underpin our ability to understand and predict the behavior of natural systems. Whether dynamical models are developed from first-principles derivations or from observational data, they are predicated on our choice of state…

机器学习 · 计算机科学 2023-01-11 Daniel Floryan , Michael D. Graham

We develop a new computing paradigm, which we refer to as data-driven computing, according to which calculations are carried out directly from experimental material data and pertinent constraints and conservation laws, such as compatibility…

计算物理 · 物理学 2016-04-20 Trenton Kirchdoerfer , Michael Ortiz

In order to achieve near-time insights, scientific workflows tend to be organized in a flexible and dynamic way. Data-driven triggering of tasks has been explored as a way to support workflows that evolve based on the data. However, the…

分布式、并行与集群计算 · 计算机科学 2020-04-23 Zhe Wang , Pradeep Subedi , Shaohua Duan , Yubo Qin , Philip Davis , Anthony Simonet , Ivan Rodero , Manish Parashar

In many real-world applications, data are often collected in the form of stream, and thus the distribution usually changes in nature, which is referred as concept drift in literature. We propose a novel and effective approach to handle…

机器学习 · 计算机科学 2020-07-07 Peng Zhao , Le-Wen Cai , Zhi-Hua Zhou

Memories are stored, retained, and recollected through complex, coupled processes operating on multiple timescales. To understand the computational principles behind these intricate networks of interactions we construct a broad class of…

神经元与认知 · 定量生物学 2015-07-29 Marcus K. Benna , Stefano Fusi

Building upon the findings presented in the first three papers of this series, we formulate an effective field theory for interacting collective states. These states consist of a large number of interconnected neurons and are distinguished…

生物物理 · 物理学 2024-05-22 Pierre Gosselin , Aïleen Lotz

It has been stated that the notion of cause and effect is one object of study that sciences and engineering revolve around. Lately, in software engineering, diagrammatic causal inference methods (e.g., Pearl s model) have gained popularity…

软件工程 · 计算机科学 2023-10-18 Sabah Al-Fedaghi

This paper describes a process for combining patterns and features, to guide a search process and make predictions. It is based on the functionality that a human brain might have, which is a highly distributed network of simple neuronal…

人工智能 · 计算机科学 2021-01-05 Kieran Greer

We consider in-network computation of an arbitrary function over an arbitrary communication network. A network with capacity constraints on the links is given. Some nodes in the network generate data, e.g., like sensor nodes in a sensor…

网络与互联网体系结构 · 计算机科学 2010-10-01 Virag Shah , Bikash Kumar Dey , D. Manjunath

Machine learning (ML) has emerged as a pervasive tool in science, engineering, and beyond. Its success has also led to several synergies with molecular dynamics (MD) simulations, which we use to identify and characterize the major…

生物大分子 · 定量生物学 2022-05-09 Christopher Kolloff , Simon Olsson

In this paper we develop a theory to describe innovation processes in a network of interacting units. We introduce a stochastic picture that allows for the clarification of the role of fluctuations for the survival of innovations in such a…

统计力学 · 物理学 2007-05-23 Ingrid Hartmann-Sonntag , Andrea Scharnhorst , Werner Ebeling

Due to its non-crystalline nature, the glassy state has remained one the most exciting scientific challenges. To study such materials, Molecular Dynamics (MD) simulations have been extensively used because they provide a direct view into…

材料科学 · 物理学 2015-06-23 Mathieu Bauchy