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Sampling multiple responses is a common way to improve LLM output quality, but it comes at the cost of additional computation. The key challenge is deciding when to stop generating new samples to balance accuracy gains against efficiency.…

Machine Learning · Computer Science 2025-10-21 Guangya Wan , Zixin Stephen Xu , Sasa Zorc , Manel Baucells , Mengxuan Hu , Hao Wang , Sheng Li

Learning-based techniques are increasingly effective at controlling complex systems using data-driven models. However, most work done so far has focused on learning individual tasks or control laws. Hence, it is still a largely unaddressed…

Systems and Control · Electrical Eng. & Systems 2020-05-08 Alexandre Capone , Armin Lederer , Jonas Umlauft , Sandra Hirche

We develop a general framework for estimating function-valued parameters under equality or inequality constraints in infinite-dimensional statistical models. Such constrained learning problems are common across many areas of statistics and…

Machine Learning · Statistics 2025-07-22 Razieh Nabi , Nima S. Hejazi , Mark J. van der Laan , David Benkeser

In collaborative filtering (CF) algorithms, the optimal models are usually learned by globally minimizing the empirical risks averaged over all the observed data. However, the global models are often obtained via a performance tradeoff…

Machine Learning · Computer Science 2021-04-16 Dongsheng Li , Haodong Liu , Chao Chen , Yingying Zhao , Stephen M. Chu , Bo Yang

We study a class of sampled stochastic optimization problems, where the underlying state process has diffusive dynamics of the mean-field type. We establish the existence of optimal relaxed controls when the sample set has finite size. The…

Optimization and Control · Mathematics 2022-06-07 Lijun Bo , Agostino Capponi , Huafu Liao

Optimal stopping problems give rise to random distributions describing how many applicants the decision-maker will sample or interview before choosing one, a quantity sometimes referred to as the search time or process duration. This…

Applications · Statistics 2019-12-13 Simon Demers

In this paper, we aim at solving a class of multiple testing problems under the Bayesian sequential decision framework. Our motivating application comes from binary labeling tasks in crowdsourcing, where the requestor needs to…

Methodology · Statistics 2017-08-29 Xiaoou Li , Yunxiao Chen , Xi Chen , Jingchen Liu , Zhiliang Ying

The aim of this paper is to provide several novel upper bounds on the excess risk with a primal focus on classification problems. We suggest two approaches and the obtained bounds are represented via the distribution dependent local…

Statistics Theory · Mathematics 2018-03-13 Nikita Zhivotovskiy

A long-lived autonomous agent should be able to respond online to novel instances of tasks from a familiar domain. Acting online requires 'fast' responses, in terms of rapid convergence, especially when the task instance has a short…

Artificial Intelligence · Computer Science 2015-12-15 Benjamin Rosman , Majd Hawasly , Subramanian Ramamoorthy

This paper examines the objective of optimally harvesting a single species in a stochastic environment. This problem has previously been analyzed in Alvarez (2000) using dynamic programming techniques and, due to the natural payoff…

Optimization and Control · Mathematics 2016-08-02 Richard H. Stockbridge , Chao Zhu

In many real world problems, we are faced with the problem of selecting the best among a finite number of alternatives, where the best alternative is determined based on context specific information. In this work, we study the contextual…

Optimization and Control · Mathematics 2022-01-20 Sait Cakmak , Siyang Gao , Enlu Zhou

Robust Policy Search is the problem of learning policies that do not degrade in performance when subject to unseen environment model parameters. It is particularly relevant for transferring policies learned in a simulation environment to…

Machine Learning · Computer Science 2021-11-23 Sai Kiran Narayanaswami , Nandan Sudarsanam , Balaraman Ravindran

We study reinforcement learning for global decision-making in the presence of local agents, where the global decision-maker makes decisions affecting all local agents, and the objective is to learn a policy that maximizes the joint rewards…

Machine Learning · Computer Science 2024-10-24 Emile Anand , Guannan Qu

We consider the problem of selecting the best variable-value strategy for solving a given problem in constraint programming. We show that the recent Embarrassingly Parallel Search method (EPS) can be used for this purpose. EPS proposes to…

Artificial Intelligence · Computer Science 2016-04-25 Anthony Palmieri , Jean-Charles Régin , Pierre Schaus

We consider the utilization of a computational model to guide the optimal acquisition of experimental data to inform the stochastic description of model input parameters. Our formulation is based on the recently developed consistent…

Computation · Statistics 2021-05-04 Scott N. Walsh , Tim M. Wildey , John D. Jakeman

Real-world autonomous systems operate under uncertainty about both their pose and dynamics. Autonomous control systems must simultaneously perform estimation and control tasks to maintain robustness to changing dynamics or modeling errors.…

Systems and Control · Computer Science 2018-08-03 Patrick Slade , Zachary N. Sunberg , Mykel J. Kochenderfer

In this paper, a local-global model reduction method is presented to solve stochastic optimal control problems governed by partial differential equations (PDEs). If the optimal control problems involve uncertainty, we need to use a few…

Numerical Analysis · Mathematics 2018-07-04 Lingling Ma , Qiuqi Li , Lijian Jiang

The performance of learning-based control techniques crucially depends on how effectively the system is explored. While most exploration techniques aim to achieve a globally accurate model, such approaches are generally unsuited for systems…

Machine Learning · Computer Science 2020-06-11 Alexandre Capone , Jonas Umlauft , Thomas Beckers , Armin Lederer , Sandra Hirche

Recent machine-learning approaches to deterministic search and domain-independent planning employ policy learning to speed up search. Unfortunately, when attempting to solve a search problem by successively applying a policy, no guarantees…

Artificial Intelligence · Computer Science 2021-08-05 Pablo Araneda , Matias Greco , Jorge A. Baier

Many potential applications of reinforcement learning (RL) are stymied by the large numbers of samples required to learn an effective policy. This is especially true when applying RL to real-world control tasks, e.g. in the sciences or…

Machine Learning · Computer Science 2022-10-11 Viraj Mehta , Ian Char , Joseph Abbate , Rory Conlin , Mark D. Boyer , Stefano Ermon , Jeff Schneider , Willie Neiswanger
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