English
Related papers

Related papers: Optimizing sequential decisions in the drift-diffu…

200 papers

Motivated by the well established idea that collective wisdom is greater than that of an individual, we propose a novel learning dynamics as a sort of companion to the Abelson model of opinion dynamics. Agents are assumed to make…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Luka Baković , Giacomo Como , Fabio Fagnani , Anton Proskurnikov , Emma Tegling

Time series data that are not measured at regular intervals are commonly discretized as a preprocessing step. For example, data about customer arrival times might be simplified by summing the number of arrivals within hourly intervals,…

Machine Learning · Statistics 2018-10-09 Peter Schulam , Suchi Saria

Phylodynamics seeks to estimate effective population size fluctuations from molecular sequences of individuals sampled from a population of interest. One way to accomplish this task formulates an observed sequence data likelihood exploiting…

Information from preceding trials of cognitive tasks can bias performance in the current trial, a phenomenon referred to as interference. Subjects performing visual working memory tasks exhibit interference in their trial-to-trial response…

Neurons and Cognition · Quantitative Biology 2017-07-25 Zachary P Kilpatrick

Conditional diffusion models provide a natural framework for probabilistic prediction of dynamical systems and have been successfully applied to fluid dynamics and weather prediction. However, in many settings, the available information at…

Local decision rules are commonly understood to be more explainable, due to the local nature of the patterns involved. With numerical optimization methods such as gradient boosting, ensembles of local decision rules can gain good predictive…

Machine Learning · Computer Science 2025-08-27 Xin Du , Subramanian Ramamoorthy , Wouter Duivesteijn , Jin Tian , Mykola Pechenizkiy

We consider decision problems under uncertainty where the options available to a decision maker and the resulting outcome are related through a causal mechanism which is unknown to the decision maker. We ask how a decision maker can learn…

Artificial Intelligence · Computer Science 2018-07-04 M. Gonzalez-Soto , L. E. Sucar , H. J. Escalante

We discuss Bayesian model uncertainty analysis and forecasting in sequential dynamic modeling of multivariate time series. The perspective is that of a decision-maker with a specific forecasting objective that guides thinking about relevant…

Methodology · Statistics 2022-06-07 Isaac Lavine , Michael Lindon , Mike West

Many biological, psychological and economic experiments have been designed where an organism or individual must choose between two options that have the same expected reward but differ in the variance of reward received. In this way,…

Quantitative Methods · Quantitative Biology 2018-09-20 Jared M. Field , Michael B. Bonsall

We consider a simple mean reverting diffusion process, with piecewise constant drift and diffusion coefficients, discontinuous at a fixed threshold. We discuss estimation of drift and diffusion parameters from discrete observations of the…

Statistics Theory · Mathematics 2024-03-12 Sara Mazzonetto , Paolo Pigato

The integration of artificial intelligence into everyday decision-making has reshaped patterns of selective trust, yet the cognitive mechanisms behind context-dependent preferences for AI versus human informants remain unclear. We applied a…

Human-Computer Interaction · Computer Science 2025-12-01 Johan Sebastián Galindez-Acosta , Juan José Giraldo-Huertas

In model-based learning, an agent's model is commonly defined over transitions between consecutive states of an environment even though planning often requires reasoning over multi-step timescales, with intermediate states either…

Machine Learning · Computer Science 2020-10-06 Alexey Zakharov , Matthew Crosby , Zafeirios Fountas

In this paper we study a rational inattention model in environments where the decision maker faces uncertainty about the true prior distribution over states. The decision maker seeks to select a stochastic choice rule over a finite set of…

Theoretical Economics · Economics 2023-05-08 Emerson Melo

We model the behavioral biases of human decision-making in securing interdependent systems and show that such behavioral decision-making leads to a suboptimal pattern of resource allocation compared to non-behavioral (rational)…

Cryptography and Security · Computer Science 2020-11-25 Mustafa Abdallah , Daniel Woods , Parinaz Naghizadeh , Issa Khalil , Timothy Cason , Shreyas Sundaram , Saurabh Bagchi

We study a stochastic model for the diffusion of competing opinions in a population composed of three types of agents: trend-followers, opposers, and indifferent individuals. The decision dynamics are driven by reinforcement mechanisms,…

Probability · Mathematics 2025-06-24 Manuel González-Navarrete

An agent acquires information dynamically until her belief about a binary state reaches an upper or lower threshold. She can choose any signal process subject to a constraint on the rate of entropy reduction. Strategies are ordered by "time…

Theoretical Economics · Economics 2024-08-23 Daniel Chen , Weijie Zhong

Cells use temporal dynamical patterns to transmit information via signaling pathways. As optimality with respect to the environment plays a fundamental role in biological systems, organisms have evolved optimal ways to transmit information.…

Biological Physics · Physics 2016-12-21 Yoshihiko Hasegawa

Linear diffusion processes serve as canonical continuous-time models for dynamic decision-making under uncertainty. These systems evolve according to drift matrices that specify the instantaneous rates of change in the expected system…

Machine Learning · Computer Science 2025-06-10 Mohamad Kazem Shirani Faradonbeh , Sadegh Shirani , Mohsen Bayati

Decisions in organizations are about evaluating alternatives and choosing the one that would best serve organizational goals. To the extent that the evaluation of alternatives could be formulated as a predictive task with appropriate…

Human-Computer Interaction · Computer Science 2022-06-30 Charles Wan , Rodrigo Belo , Leid Zejnilović

Accurate modeling of opinion dynamics has the potential to help us understand polarization and what makes effective political discourse possible or impossible. Here, we use physics-based methods to model the evolution of political opinions…

Physics and Society · Physics 2020-10-07 David Sabin-Miller , Daniel M. Abrams