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Organisms and ecological groups accumulate evidence to make decisions. Classic experiments and theoretical studies have explored this process when the correct choice is fixed during each trial. However, we live in a constantly changing…

神经元与认知 · 定量生物学 2015-10-01 Alan Veliz-Cuba , Zachary P. Kilpatrick , Kresimir Josic

In a constantly changing world, animals must account for environmental volatility when making decisions. To appropriately discount older, irrelevant information, they need to learn the rate at which the environment changes. We develop an…

神经元与认知 · 定量生物学 2017-01-12 Adrian E Radillo , Alan Veliz-Cuba , Kresimir Josic , Zachary P Kilpatrick

We investigate a selection-mutation model for the dynamics of technological innovation,a special case of reaction-diffusion equations. Although mutations are assumed to increase the variety of technologies, not their average success…

统计力学 · 物理学 2007-05-23 Dirk Helbing , Martin Treiber , Nicole J. Saam

We build simple computational models of belief dynamics within the framework of discrete-spin statistical physics models, and explore how suitable they are for understanding and predicting real-world belief change on both the individual and…

物理与社会 · 物理学 2018-07-10 Mirta Galesic , Daniel L. Stein

When human operators of cyber-physical systems encounter surprising behavior, they often consider multiple hypotheses that might explain it. In some cases, taking information-gathering actions such as additional measurements or control…

人工智能 · 计算机科学 2024-11-22 Ofer Dagan , Tyler Becker , Zachary N. Sunberg

Diffusion processes have been applied with great success to model the dynamics of large populations throughout science, in particular biology. One advantage is that they bridge two different scales: the microscopic and the macroscopic one.…

神经元与认知 · 定量生物学 2013-09-11 Marc de Kamps

We study a continuous time stochastic optimal control problem under partial observations that are available only at discrete time instants. This hybrid setting, with continuous dynamics and intermittent noisy measurements, arises in…

最优化与控制 · 数学 2026-01-01 Christian Bayer , Saifeddine Ben naamia , Erik von Schwerin , Raul Tempone

Distribution shifts have long been regarded as troublesome external forces that a decision-maker should either counteract or conform to. An intriguing feedback phenomenon termed decision dependence arises when the deployed decision affects…

最优化与控制 · 数学 2025-03-11 Zhiyu He , Saverio Bolognani , Florian Dörfler , Michael Muehlebach

We describe a continuous-time modelling framework for biological population dynamics that accounts for demographic noise. In the spirit of the methodology used by statistical physicists, transitions between the states of the system are…

种群与进化 · 定量生物学 2018-07-19 George W. A. Constable , Alan J. McKane

Economists often estimate economic models on data and use the point estimates as a stand-in for the truth when studying the model's implications for optimal decision-making. This practice ignores model ambiguity, exposes the decision…

计量经济学 · 经济学 2021-10-07 Maximilian Blesch , Philipp Eisenhauer

To make decisions organisms often accumulate information across multiple timescales. However, most experimental and modeling studies of decision-making focus on sequences of independent trials. On the other hand, natural environments are…

神经元与认知 · 定量生物学 2018-06-12 Khanh P Nguyen , Kresimir Josic , Zachary P Kilpatrick

When an expert operates a perilous dynamic system, ideal constraint information is tacitly contained in their demonstrated trajectories and controls. The likelihood of these demonstrations can be computed, given the system dynamics and task…

系统与控制 · 电气工程与系统科学 2021-02-26 David L. McPherson , Kaylene C. Stocking , S. Shankar Sastry

Nature is in constant flux, so animals must account for changes in their environment when making decisions. How animals learn the timescale of such changes and adapt their decision strategies accordingly is not well understood. Recent…

神经元与认知 · 定量生物学 2018-12-24 Zachary P. Kilpatrick , William R. Holmes , Tahra L. Eissa , Krešimir Josić

Populations interact non-linearly and are influenced by environmental fluctuations. In order to have realistic mathematical models, one needs to take into account that the environmental fluctuations are inherently stochastic. Often,…

概率论 · 数学 2025-07-29 Alexandru Hening , Siddharth Sabharwal

The aim of a number of psychophysics tasks is to uncover how mammals make decisions in a world that is in flux. Here we examine the characteristics of ideal and near-ideal observers in a task of this type. We ask when and how performance…

神经元与认知 · 定量生物学 2019-10-10 Adrian E. Radillo , Alan Veliz-Cuba , Krešimir Josić , Zachary P. Kilpatrick

Conformal prediction is an uncertainty quantification method that constructs a prediction set for a previously unseen datum, ensuring the true label is included with a predetermined coverage probability. Adaptive conformal prediction has…

机器学习 · 计算机科学 2024-11-07 Erfan Hajihashemi , Yanning Shen

This paper deals with the state prediction of nonlinear stochastic dynamic systems. The emphasis is laid on a solution to the integral Chapman-Kolmogorov equation by a deterministic-integration-rule-based point-mass method. A novel concept…

信号处理 · 电气工程与系统科学 2025-01-15 Jindrich Dunik , Ladislav Kral , Jakub Matousek , Ondrej Straka , Marek Brandner

In this work, we study the problem of actively classifying the attributes of dynamical systems characterized as a finite set of Markov decision process (MDP) models. We are interested in finding strategies that actively interact with the…

系统与控制 · 电气工程与系统科学 2023-01-06 Bo Wu , Niklas Lauffer , Mohamadreza Ahmadi , Suda Bharadwaj , Zhe Xu , Ufuk Topcu

We develop a general framework for state estimation in systems modeled with noise-polluted continuous time dynamics and discrete time noisy measurements. Our approach is based on maximum likelihood estimation and employs the calculus of…

最优化与控制 · 数学 2026-01-16 Griffin M. Kearney , Makan Fardad

A representative researcher has repeated opportunities for empirical research. To process findings, she must impose an "identifying assumption." She conducts research when the assumption is sufficiently plausible (taking into account both…

理论经济学 · 经济学 2025-01-17 Andrew Ellis , Ran Spiegler
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