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The understanding of neural activity patterns is fundamentally linked to an understanding of how the brain's network architecture shapes dynamical processes. Established approaches rely mostly on deviations of a given network from certain…

神经元与认知 · 定量生物学 2014-09-19 Marc-Thorsten Huett , Marcus Kaiser , Claus C. Hilgetag

In this paper we seek to demonstrate the predictability of stock market returns and explain the nature of this return predictability. To this end, we introduce investors with different investment horizons into the news-driven, analytic,…

综合金融 · 定量金融 2016-03-30 Dimitri Kroujiline , Maxim Gusev , Dmitry Ushanov , Sergey V. Sharov , Boris Govorkov

Networks are ubiquitous throughout science and engineering. A number of methods, including some from our own group, have explored how one goes about computing or predicting the dynamics of networks given information about internal models of…

分子网络 · 定量生物学 2017-11-06 Gabriel A. Silva

While modern deep networks have demonstrated remarkable versatility, their training dynamics remain poorly understood--often driven more by empirical tweaks than architectural insight. This paper investigates how internal structural choices…

机器学习 · 计算机科学 2025-08-26 Saleh Nikooroo , Thomas Engel

We proposed a model of interacting market agents based on the Ising spin model. The agents can take three actions: "buy," "sell," or "stay inactive." We defined a price evolution in terms of the system magnetization. The model reproduces…

统计金融 · 定量金融 2008-12-02 Paweł Sieczka , Janusz A. Hołyst

In this work we review some recent development in the mathematical modelling of quantitative sociology by means of statistical mechanics. After a short pedagogical introduction to static and dynamic properties of many body systems, we…

物理与社会 · 物理学 2009-10-15 Elena Agliari , Adriano Barra , Raffaella Burioni , Pierluigi Contucci

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 introduce a minimal Agent Based Model for financial markets to understand the nature and Self-Organization of the Stylized Facts. The model is minimal in the sense that we try to identify the essential ingredients to reproduce the main…

交易与市场微观结构 · 定量金融 2009-11-13 V. Alfi , M. Cristelli , L. Pietronero , A. Zaccaria

Complex networks are a great tool for simulating the outcomes of different strategies used within the iterated prisoners' dilemma game. However, because the strategies themselves rely on the connection between nodes, then initial network…

物理与社会 · 物理学 2022-08-30 Louis Zhao , Chen Ye Gan , Minglu Zhao

A social choice procedure is modeled as a repeated Nash game between the social agents, who are communicating with each other through a social communication network modeled by an undirected graph. The agents' criteria for this game are…

系统与控制 · 计算机科学 2021-03-02 Athanasios-Rafail Lagos , George P. Papavassilopoulos

We propose a statistical mechanics approach to a coevolving spin system with an adaptive network of interactions. The dynamics of node states and network connections is driven by both spin configuration and network topology. We consider a…

物理与社会 · 物理学 2018-10-03 Tomasz Raducha , Mateusz Wiliński , Tomasz Gubiec , H. Eugene Stanley

I study dynamic network formation games in which agents meet stochastically and form links based on their valuation of the network. I show that these games can be represented in terms of the values agents assign to network sub-structures.…

理论经济学 · 经济学 2025-11-19 Jose M. Betancourt

We describe an approach to model genetic regulatory networks at the level of promotion-inhibition circuitry through a class of stochastic spin models that includes spatial and temporal density fluctuations in a natural way. The formalism…

统计力学 · 物理学 2018-03-08 J. Ricardo G. Mendonça , Mário J. de Oliveira

We present our approach to the problem of how an agent, within an economic Multi-Agent System, can determine when it should behave strategically (i.e. learn and use models of other agents), and when it should act as a simple price-taker. We…

多智能体系统 · 计算机科学 2007-05-23 Jose M. Vidal , Edmund H. Durfee

We introduce a simple benchmark model of dynamic matching in networked markets, where agents arrive and depart stochastically and the network of acceptable transactions among agents forms a random graph. We analyze our model from three…

计算机科学与博弈论 · 计算机科学 2014-02-18 Mohammad Akbarpour , Shengwu Li , Shayan Oveis Gharan

We introduce a distributed control architecture for a class of heterogeneous, nonlinear dynamical agents moving in the "string" formation, while guaranteeing trajectory tracking, collision avoidance and the preservation of the formation's…

系统与控制 · 计算机科学 2018-06-19 Serban Sabau , Irinel-Constantin Morarescu , Lucian Busoniu , Ali Jadbabaie

Social movements, neurons in the brain or even industrial suppliers are best described by agents evolving on networks with basic interaction rules. In these real systems, the connectivity between agents corresponds to the a critical state…

物理与社会 · 物理学 2007-05-23 Philippe Curty

The high-order complexity of human behaviour is likely the root cause of extreme difficulty in financial market projections. We consider that behavioural simulation can unveil systemic dynamics to support analysis. Simulating diverse human…

交易与市场微观结构 · 定量金融 2025-06-03 Cheng Wang , Chuwen Wang , Shirong Zeng , Jianguo Liu , Changjun Jiang

Although most networks in nature exhibit complex topology the origins of such complexity remains unclear. We introduce a model of a growing network of interacting agents in which each new agent's membership to the network is determined by…

无序系统与神经网络 · 物理学 2009-09-02 J. I. Perotti , O. V. Billoni , F. A. Tamarit , D. R. Chialvo , S. A. Cannas

We introduce a new framework to model interactions among agents which seek to trade to minimize their risk with respect to some future outcome. We quantify this risk using the concept of risk measures from finance, and introduce a class of…

计算机科学与博弈论 · 计算机科学 2014-10-13 Rafael M. Frongillo , Mark D. Reid