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Many consumer decisions are repeated choices under uncertainty. Standard models capture these decisions using Bayesian learning and dynamic programming: consumers update beliefs from feedback and use those beliefs to guide future choices.…

机器学习 · 计算机科学 2026-05-19 Mehrzad Khosravi , Max Kleiman-Weiner , Hema Yoganarasimhan

Learning dynamics is at the heart of many important applications of machine learning (ML), such as robotics and autonomous driving. In these settings, ML algorithms typically need to reason about a physical system using high dimensional…

机器学习 · 统计学 2021-11-11 Aleksandar Botev , Andrew Jaegle , Peter Wirnsberger , Daniel Hennes , Irina Higgins

A novel data-driven methodology is presented for the joint selection of prior parameters for both fixed and random effects in Linear Mixed Models (LMMs). This approach facilitates the estimation of complex random-effects structures, as well…

统计方法学 · 统计学 2026-04-28 Matteo Amestoy , R. Vermeulen , Mark A. van de Wiel , Wessel N. van Wieringen

Time-inconsistent preferences, where agents favor smaller-sooner over larger-later rewards, are a key feature of human and animal decision-making. Quasi-Hyperbolic (QH) discounting provides a simple yet powerful model for this behavior, but…

机器学习 · 计算机科学 2025-09-09 S. R. Eshwar

A sequence of social sensors estimate an unknown parameter (modeled as a state of nature) by performing Bayesian Social Learning, and myopically optimize individual reward functions. The decisions of the social sensors contain quantized…

社会与信息网络 · 计算机科学 2020-03-31 Sujay Bhatt , Vikram Krishnamurthy

Common statistical practice has shown that the full power of Bayesian methods is not realized until hierarchical priors are used, as these allow for greater "robustness" and the ability to "share statistical strength." Yet it is an ongoing…

机器学习 · 计算机科学 2015-05-20 Jonathan H. Huggins , Joshua B. Tenenbaum

Adding domain knowledge to a learning system is known to improve results. In multi-parameter Bayesian frameworks, such knowledge is incorporated as a prior. On the other hand, various model parameters can have different learning rates in…

机器学习 · 计算机科学 2022-06-22 Sareh Nabi , Houssam Nassif , Joseph Hong , Hamed Mamani , Guido Imbens

Estimating intervention effects in dynamical systems is crucial for outcome optimization. In medicine, such interventions arise in physiological regulation (e.g., cardiovascular system under fluid administration) and pharmacokinetics, among…

机器学习 · 计算机科学 2026-02-13 Tomer Meir , Ori Linial , Danny Eytan , Uri Shalit

Bayesian hybrid models fuse physics-based insights with machine learning constructs to correct for systematic bias. In this paper, we compare Bayesian hybrid models against physics-based glass-box and Gaussian process black-box surrogate…

最优化与控制 · 数学 2019-12-16 Elvis A. Eugene , Xian Gao , Alexander W. Dowling

Bayesian inference in generalized linear models requires a prior on the coefficient vector $\beta$. Practitioners naturally reason about response probabilities at specific covariate values, not about abstract log-odds parameters. We develop…

统计方法学 · 统计学 2026-03-03 Nick Polson , Vadim Sokolov

Offline reinforcement learning enables agents to leverage large pre-collected datasets of environment transitions to learn control policies, circumventing the need for potentially expensive or unsafe online data collection. Significant…

机器学习 · 计算机科学 2022-03-17 Cong Lu , Philip J. Ball , Jack Parker-Holder , Michael A. Osborne , Stephen J. Roberts

We use the language of uninformative Bayesian prior choice to study the selection of appropriately simple effective models. We advocate for the prior which maximizes the mutual information between parameters and predictions, learning as…

数据分析、统计与概率 · 物理学 2018-02-16 Henry H. Mattingly , Mark K. Transtrum , Michael C. Abbott , Benjamin B. Machta

Reinforcement Learning is divided in two main paradigms: model-free and model-based. Each of these two paradigms has strengths and limitations, and has been successfully applied to real world domains that are appropriate to its…

机器学习 · 计算机科学 2017-10-19 Somil Bansal , Roberto Calandra , Kurtland Chua , Sergey Levine , Claire Tomlin

The development of data-informed predictive models for dynamical systems is of widespread interest in many disciplines. We present a unifying framework for blending mechanistic and machine-learning approaches to identify dynamical systems…

动力系统 · 数学 2022-08-18 Matthew E. Levine , Andrew M. Stuart

Preference-based Reinforcement Learning (PbRL) provides a way to learn high-performance policies in environments where the reward signal is hard to specify, avoiding heuristic and time-consuming reward design. However, PbRL can suffer from…

机器学习 · 计算机科学 2025-07-02 Chenyang Cao , Miguel Rogel-García , Mohamed Nabail , Xueqian Wang , Nicholas Rhinehart

We study a Bayesian binary sequential hypothesis testing problem with multiple large language models (LLMs). Each LLM $j$ has per-query cost $c_j>0$, random waiting time with mean $\mu_j>0$ and sub-Gaussian tails, and \emph{asymmetric}…

数据结构与算法 · 计算机科学 2026-04-03 Guokai Li , Alys Liang , Mo Liu , Murray Lei , Stefanus Jasin , Fenghua Yang , Preet Baxi

Safe predictions are a crucial requirement for integrating predictive models into clinical decision support systems. One approach for ensuring trustworthiness is to enable models' ability to express their uncertainty about individual…

机器学习 · 计算机科学 2026-03-10 L. Julián Lechuga López , Tim G. J. Rudner , Farah E. Shamout

Trajectory planning for automated vehicles commonly employs optimization over a moving horizon - Model Predictive Control - where the cost function critically influences the resulting driving style. However, finding a suitable cost function…

系统与控制 · 电气工程与系统科学 2025-10-20 Lukas Theiner , Sebastian Hirt , Alexander Steinke , Rolf Findeisen

Machine learning systems embed preferences either in training losses or through post-processing of calibrated predictions. Applying information design methods from Strack and Yang (2024), this paper provides decision problem agnostic…

理论经济学 · 经济学 2026-01-27 Joshua S. Gans

We study the problem of online sequential decision-making given auxiliary demonstrations from experts who made their decisions based on unobserved contextual information. These demonstrations can be viewed as solving related but slightly…

机器学习 · 计算机科学 2025-06-17 Vahid Balazadeh , Keertana Chidambaram , Viet Nguyen , Rahul G. Krishnan , Vasilis Syrgkanis
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