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We discuss several aspects of creation of adequate mathematical models in other sciences. In particular, many difficulties stem from great complexity of the source systems and the presence of a variety of uncertain factors. We illustrate…

最优化与控制 · 数学 2021-02-19 I. V. Konnov

We discuss the problems of modeling, control, and decision support in complex dynamic systems from a general system theoretic point of view. The main characteristics of complex systems and of system approach to complex system study are…

系统与控制 · 计算机科学 2013-12-30 Armen Bagdasaryan

Nowadays, in societies threatened by atomization, selfishness, short-term thinking, and alienation from political life, there is a renewed debate about classical questions concerning the quality of democratic decision-making. In this work a…

统计力学 · 物理学 2009-11-07 S. G. Alves , N. M. Oliveira Neto , M. L. Martins

Diffusion models are a class of probabilistic generative models that have been widely used as a prior for image processing tasks like text conditional generation and inpainting. We demonstrate that these models can be adapted to make…

机器学习 · 计算机科学 2023-06-14 Marc Finzi , Anudhyan Boral , Andrew Gordon Wilson , Fei Sha , Leonardo Zepeda-Núñez

This work is a technical approach to modeling false information nature, design, belief impact and containment in multi-agent networks. We present a Bayesian mathematical model for source information and viewer's belief, and how the former…

社会与信息网络 · 计算机科学 2018-04-06 Amin Khajehnejad , Shima Hajimirza

Constructive election control considers the problem of an adversary who seeks to sway the outcome of an electoral process in order to ensure that their favored candidate wins. We consider the computational problem of constructive election…

计算机科学与博弈论 · 计算机科学 2019-12-02 Jasper Lu , David Kai Zhang , Zinovi Rabinovich , Svetlana Obraztsova , Yevgeniy Vorobeychik

Probabilistic modeling is cyclical: we specify a model, infer its posterior, and evaluate its performance. Evaluation drives the cycle, as we revise our model based on how it performs. This requires a metric. Traditionally, predictive…

机器学习 · 统计学 2016-05-25 Alp Kucukelbir , David M. Blei

The study of complex political phenomena such as parties' polarization calls for mathematical models of political systems. In this paper, we aim at modeling the time evolution of a political system whereby various parties selfishly interact…

系统与控制 · 电气工程与系统科学 2022-09-13 Nicolas Lanzetti , Joudi Hajar , Florian Dörfler

We propose and study a system whose dynamics are governed by predictions of its future states. General formalism and concrete examples are presented. We find that the dynamical characteristics depend on both how to shape predictions as well…

其他凝聚态物理 · 物理学 2007-05-23 Toru Ohira

Many of today's most pressing issues require a more robust understanding of how information spreads in populations. Current models of information spread can be thought of as falling into one of two varieties: epidemiologically-inspired…

物理与社会 · 物理学 2025-03-03 Sagar Kumar , Moritz Laber , Maimuna S. Majumder , Brooke Foucault Welles

Predicting the future behaviour of complex systems exhibiting critical-like dynamics is often considered to be an intrinsically hard task. Here, we study the predictability of the depinning dynamics of elastic interfaces in random media…

统计力学 · 物理学 2026-02-03 Valtteri Haavisto , Marcin Mińkowski , Lasse Laurson

While lobbying has been demonstrated to have an important effect on public opinion and policy making, existing models of opinion formation do not specifically include its effect. In this work we introduce a new model of lobbying-driven…

Societies experience politically stable and unstable phases along history, whereas political power is usually passed to new elite groups by these changes. Structural dynamics of the elites in a society have been proposed to be one of the…

物理与社会 · 物理学 2025-11-24 Alexander Jochim , Stefan Bornholdt

Model selection requires repeatedly evaluating models on a given dataset and measuring their relative performances. In modern applications of machine learning, the models being considered are increasingly more expensive to evaluate and the…

机器学习 · 计算机科学 2020-10-21 Anant Raj , Cameron Musco , Lester Mackey , Nicolo Fusi

Complex systems of many interacting components exhibit patterns of recurrence and emergent behaviors in their time evolution that can be understood from a new perspective of physics of information dynamics, modeled after one such system,…

无序系统与神经网络 · 物理学 2026-01-27 Uday S. Goteti , Shane A. Cybart , Robert C. Dynes

Religions are among the most consequential social institutions, shaping collective identities, moral norms, and political organization across societies and historical periods. Nevertheless, despite extensive scholarship describing…

物理与社会 · 物理学 2026-01-19 Bilge Taskin , Teddy Lazebnik

News articles of varying degrees of truthfulness and political alignment, and their influences on the political opinions of the media consumers are modeled as a Bayesian network incorporating a mixture of ideas from dual-reasoning models of…

社会与信息网络 · 计算机科学 2019-06-18 In-Ho Yi

We show a data-driven approach to discover the underlying structural form of the mathematical equation governing the dynamics of multiple but similar systems induced by the same mechanisms. This approach hinges on theories that we lay out…

神经与进化计算 · 计算机科学 2019-08-29 Changwei Loh , Daniel Schneegass , Pengwei Tian

Life depends as much on the flow of information as on the flow of energy. Here we review the many efforts to make this intuition precise. Starting with the building blocks of information theory, we explore examples where it has been…

定量方法 · 定量生物学 2014-12-31 Gašper Tkačik , William Bialek

Model-based reinforcement learning has the potential to be more sample efficient than model-free approaches. However, existing model-based methods are vulnerable to model bias, which leads to poor generalization and asymptotic performance…

机器学习 · 计算机科学 2019-06-27 Tung-Long Vuong , Kenneth Tran