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The recent framework of performative prediction is aimed at capturing settings where predictions influence the target/outcome they want to predict. In this paper, we introduce a natural multi-agent version of this framework, where multiple…

机器学习 · 计算机科学 2022-01-26 Georgios Piliouras , Fang-Yi Yu

The striking fractal geometry of strange attractors underscores the generative nature of chaos: like probability distributions, chaotic systems can be repeatedly measured to produce arbitrarily-detailed information about the underlying…

机器学习 · 计算机科学 2023-01-31 William Gilpin

Many biological ecosystems exhibit chaotic behavior, demonstrated either analytically using parameter choices in an associated dynamical systems model or empirically through analysis of experimental data. In this paper, we provide a…

动力系统 · 数学 2016-04-26 B. C. Dean , E. Dimitrova , A. Galande , E. W. Jenkins , S. Koshy

In this paper we consider several constrained activity scheduling problems in the time and space domains, like finding activity orderings which optimize the values of several objective functions (time scheduling) or finding optimal…

数据结构与算法 · 计算机科学 2009-06-09 Madalina Ecaterina Andreica , Mugurel Ionut Andreica , Angela Andreica

Certain deterministic non-linear systems may show chaotic behaviour. Time series derived from such systems seem stochastic when analyzed with linear techniques. However, uncovering the deterministic structure is important because it allows…

chao-dyn · 物理学 2008-02-03 Dimitris Kugiumtzis , Bjoern Lillekjendlie , Nils Christophersen

Some normal logic programs under the answer set (stable model) semantics lack the appealing property of "cautious monotonicity." That is, augmenting a program with one of its consequences may cause it to lose another of its consequences.…

计算机科学中的逻辑 · 计算机科学 2007-05-23 Hudson Turner

Stiff and chaotic differential equations are challenging for time-stepping numerical methods. For explicit methods, the required time step resolution significantly exceeds the resolution associated with the smoothness of the exact solution…

数值分析 · 数学 2024-02-28 Jan Scheffel

In many real world chaotic systems, the interest is typically in determining when the system will behave in an extreme manner. Flooding and drought, extreme heatwaves, large earthquakes, and large drops in the stock market are examples of…

应用统计 · 统计学 2019-08-19 Michael LuValle

This paper considers a class of reinforcement-based learning (namely, perturbed learning automata) and provides a stochastic-stability analysis in repeatedly-played, positive-utility, finite strategic-form games. Prior work in this class of…

计算机科学与博弈论 · 计算机科学 2019-01-29 Georgios C. Chasparis

Modern computer microprocessors are composed of hundreds of millions of transistors that interact through intricate protocols. Their performance during program execution may be highly variable and present aperiodic oscillations. In this…

适应与自组织系统 · 物理学 2016-08-16 Hugues Berry , Daniel Gracia Pérez , Olivier Temam

This paper considers a class of reinforcement-learning that belongs to the family of Learning Automata and provides a stochastic-stability analysis in strategic-form games. For this class of dynamics, convergence to pure Nash equilibria has…

计算机科学与博弈论 · 计算机科学 2017-02-28 Georgios C. Chasparis

We studied neural automata -or neurobiologically inspired cellular automata- which exhibits chaotic itinerancy among the different stored patterns or memories. This is a consequence of activity-dependent synaptic fluctuations, which…

神经元与认知 · 定量生物学 2007-05-23 J. M. Cortes , J. Marro , J. J. Torres

Game theory is the standard tool used to model strategic interactions in evolutionary biology and social science. Traditional game theory studies the equilibria of simple games. But is traditional game theory applicable if the game is…

混沌动力学 · 物理学 2011-09-22 Tobias Galla , J. Doyne Farmer

This paper considers an optimal impulse control problem of dynamical systems generated by a flow. The performance criteria are total costs over the infinite time horizon. Apart from the main performance to be minimized, there are multiple…

最优化与控制 · 数学 2020-10-27 Alexey Piunovskiy , Yi Zhang

Researchers in explainable artificial intelligence have developed numerous methods for helping users understand the predictions of complex supervised learning models. By contrast, explaining the $\textit{uncertainty}$ of model outputs has…

机器学习 · 统计学 2023-11-01 David S. Watson , Joshua O'Hara , Niek Tax , Richard Mudd , Ido Guy

In many prediction problems, the predictive model affects the distribution of the prediction target. This phenomenon is known as performativity and is often caused by the behavior of individuals with vested interests in the outcome of the…

机器学习 · 统计学 2024-06-03 Seamus Somerstep , Ya'acov Ritov , Yuekai Sun

Impulsive control is used to suppress the chaotic behavior in an one-dimensional discrete supply and demand dynamical system. By perturbing periodically the state variable with constant impulses, the chaos can be suppressed. It is proved…

混沌动力学 · 物理学 2019-10-03 M. -F. Danca , M. Feckan

Many dependability techniques expect certain behaviors from the underlying subsystems and fail in chaotic ways if these expectations are not met. Under expected circumstances, however, software tends to work quite well. This paper suggests…

操作系统 · 计算机科学 2007-05-23 George Candea

Computational models of human language often involve combinatorial problems. For instance, a probabilistic parser may marginalize over exponentially many trees to make predictions. Algorithms for such problems often employ dynamic…

计算与语言 · 计算机科学 2021-09-16 Tim Vieira , Ryan Cotterell , Jason Eisner

Empirical results show that PSO performance may be different if using either chaotic or random sequences to drive the algorithm's search dynamics. We analyze the phenomenon by evaluating the performance based on a benchmark of test…

神经与进化计算 · 计算机科学 2023-09-18 {Paul Moritz Nörenberg , Hendrik Richter