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The problem of constrained Markov decision process is considered. An agent aims to maximize the expected accumulated discounted reward subject to multiple constraints on its costs (the number of constraints is relatively small). A new dual…

Classic Bayesian methods with complex models are frequently infeasible due to an intractable likelihood. Simulation-based inference methods, such as Approximate Bayesian Computing (ABC), calculate posteriors without accessing a likelihood…

统计计算 · 统计学 2026-01-09 Elliot Maceda , Emily C. Hector , Amanda Lenzi , Brian J. Reich

Recently, multimodal large language models (MLLMs) have been widely applied to reasoning tasks. However, they suffer from limited multi-rationale semantic modeling, insufficient logical robustness, and are susceptible to misleading…

人工智能 · 计算机科学 2025-12-08 Chuang Yu , Jinmiao Zhao , Mingxuan Zhao , Yunpeng Liu , Xiujun Shu , Yuanhao Feng , Bo Wang , Xiangyu Yue

In this work, we propose a novel prior learning method for advancing generalization and uncertainty estimation in deep neural networks. The key idea is to exploit scalable and structured posteriors of neural networks as informative priors…

机器学习 · 计算机科学 2026-03-31 Dominik Schnaus , Jongseok Lee , Daniel Cremers , Rudolph Triebel

We propose a novel randomized linear programming algorithm for approximating the optimal policy of the discounted Markov decision problem. By leveraging the value-policy duality and binary-tree data structures, the algorithm adaptively…

最优化与控制 · 数学 2019-06-04 Mengdi Wang

We revisit the sequential variants of linear regression with the squared loss, classification problems with hinge loss, and logistic regression, all characterized by unbounded losses in the setup where no assumptions are made on the…

机器学习 · 统计学 2025-09-08 Jian Qian , Alexander Rakhlin , Nikita Zhivotovskiy

Variational Bayesian neural networks (BNNs) perform variational inference over weights, but it is difficult to specify meaningful priors and approximate posteriors in a high-dimensional weight space. We introduce functional variational…

机器学习 · 计算机科学 2019-03-15 Shengyang Sun , Guodong Zhang , Jiaxin Shi , Roger Grosse

We consider sequential decision problems in which we adaptively choose one of finitely many alternatives and observe a stochastic reward. We offer a new perspective of interpreting Bayesian ranking and selection problems as adaptive…

机器学习 · 计算机科学 2016-06-16 Yingfei Wang , Warren Powell

A key challenge in applying reinforcement learning (RL) to diffusion large language models (dLLMs) lies in the intractability of their likelihood functions, which are essential for the RL objective, necessitating corresponding approximation…

机器学习 · 计算机科学 2025-10-15 Nianyi Lin , Jiajie Zhang , Lei Hou , Juanzi Li

We consider online learning for minimizing regret in unknown, episodic Markov decision processes (MDPs) with continuous states and actions. We develop variants of the UCRL and posterior sampling algorithms that employ nonparametric Gaussian…

机器学习 · 计算机科学 2019-01-04 Sayak Ray Chowdhury , Aditya Gopalan

Generative models have fundamentally reshaped the landscape of decision-making, reframing the problem from pure scalar reward maximization to high-fidelity trajectory generation and distribution matching. This paradigm shift addresses…

Considering a probability distribution over parameters is known as an efficient strategy to learn a neural network with non-differentiable activation functions. We study the expectation of a probabilistic neural network as a predictor by…

机器学习 · 计算机科学 2023-04-17 Louis Fortier-Dubois , Gaël Letarte , Benjamin Leblanc , François Laviolette , Pascal Germain

Travel decisions tend to exhibit sensitivity to uncertainty and information processing constraints. These behavioural conditions can be characterized by a generative learning process. We propose a data-driven generative model version of…

计量经济学 · 经济学 2019-07-29 Melvin Wong , Bilal Farooq

Bayesian analyses combine information represented by different terms in a joint Bayesian model. When one or more of the terms is misspecified, it can be helpful to restrict the use of information from suspect model components to modify…

统计方法学 · 统计学 2022-06-27 Xuejun Yu , David J. Nott , Michael Stanley Smith

In this work, we investigate the use of three information-theoretic quantities -- entropy, mutual information with the class variable, and a class selectivity measure based on Kullback-Leibler divergence -- to understand and study the…

机器学习 · 计算机科学 2022-12-02 Rana Ali Amjad , Kairen Liu , Bernhard C. Geiger

The early sections of this paper present an analysis of a Markov decision model that is known as the multi-armed bandit under the assumption that the utility function of the decision maker is either linear or exponential. The analysis…

最优化与控制 · 数学 2012-03-22 Eric V. Denardo , Eugene A. Feinberg , Uriel G. Rothblum

Convolutional neural networks (CNNs) are used in many embedded applications, from industrial robotics and automation systems to biometric identification on mobile devices. State-of-the-art classification is typically achieved by large…

机器学习 · 计算机科学 2020-05-22 Yuan Wen , Andrew Anderson , Valentin Radu , Michael F. P. O'Boyle , David Gregg

The need for function estimation in label-limited settings is common in the natural sciences. At the same time, prior knowledge of function values is often available in these domains. For example, data-free biophysics-based models can be…

机器学习 · 计算机科学 2022-10-17 Hunter Nisonoff , Yixin Wang , Jennifer Listgarten

Advances in mobile computing technologies have made it possible to monitor and apply data-driven interventions across complex systems in real time. Markov decision processes (MDPs) are the primary model for sequential decision problems with…

统计方法学 · 统计学 2018-03-20 Longshaokan Wang , Eric B. Laber , Katie Witkiewitz

The efficacy of robust optimization spans a variety of settings with uncertainties bounded in predetermined sets. In many applications, uncertainties are affected by decisions and cannot be modeled with current frameworks. This paper takes…

最优化与控制 · 数学 2018-03-29 Omid Nohadani , Kartikey Sharma