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In this paper, we study a fixed-confidence, fixed-tolerance formulation of a class of stochastic bi-level optimization problems, where the upper-level problem selects from a finite set of systems based on a performance metric, and the…

Optimization and Control · Mathematics 2025-01-20 Yuhao Wang , Seong-Hee Kim , Enlu Zhou

A new type of experiment that aims to determine the optimal quantities of a sequence of factors is eliciting considerable attention in medical science, bioengineering, and many other disciplines. Such studies require the simultaneous…

Methodology · Statistics 2022-09-14 Qian Xiao , Yaping Wang , Abhyuday Mandal , Xinwei Deng

Traditional statistical and machine learning methods typically assume that the training and test data follow the same distribution. However, this assumption is frequently violated in real-world applications, where the training data in the…

Methodology · Statistics 2025-07-08 Hanxuan Ye , Hongzhe Li

We consider a problem on the synthesis of reactive controllers that optimize some a priori unknown performance criterion while interacting with an uncontrolled environment such that the system satisfies a given temporal logic specification.…

Logic in Computer Science · Computer Science 2015-03-09 Min Wen , Ruediger Ehlers , Ufuk Topcu

This paper studies an infinite horizon optimal control problem for discrete-time linear systems and quadratic criteria, both with random parameters which are independent and identically distributed with respect to time. A classical approach…

Optimization and Control · Mathematics 2020-11-11 Kai Du , Qingxin Meng , Fu Zhang

In real-world healthcare settings, treatment decisions often involve optimizing for multivariate outcomes such as treatment efficacy and severity of side effects based on individual preferences. However, existing statistical methods for…

Machine Learning · Statistics 2025-09-03 Joshua P. Zitovsky , Yating Zou , Leslie Wilson , Michael R. Kosorok

The computational prediction algorithm of neural network, or deep learning, has drawn much attention recently in statistics as well as in image recognition and natural language processing. Particularly in statistical application for…

Machine Learning · Statistics 2021-04-13 Yichen Jia , Jong-Hyeon Jeong

We methodologically address the problem of Q-value overestimation in deep reinforcement learning to handle high-dimensional state spaces efficiently. By adapting concepts from information theory, we introduce an intrinsic penalty signal…

Artificial Intelligence · Computer Science 2018-11-21 Felix Leibfried , Jordi Grau-Moya , Haitham Bou-Ammar

We propose a new Q-learning variant, called 2RA Q-learning, that addresses some weaknesses of existing Q-learning methods in a principled manner. One such weakness is an underlying estimation bias which cannot be controlled and often…

Optimization and Control · Mathematics 2024-05-30 Peter Schmitt-Förster , Tobias Sutter

Risk stratification is a key tool in clinical decision-making, yet current approaches often fail to translate sophisticated survival analysis into actionable clinical criteria. We present a novel method for unsupervised machine learning…

It is well-known that information loss can occur in the classic and simple Q-learning algorithm. Entropy-based policy search methods were introduced to replace Q-learning and to design algorithms that are more robust against information…

Machine Learning · Computer Science 2020-06-29 Tung D. Nguyen , Kathryn E. Kasmarik , Hussein A. Abbass

Flow $Q$-learning has recently been introduced to integrate learning from expert demonstrations into an actor-critic structure. Central to this innovation is the ``the one-step policy'' network, which is optimized through a $Q$-function…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Farnaz Adib Yaghmaie , Arunava Naha

Dynamic treatment regimes assign personalized treatments to patients sequentially over time based on their baseline information and time-varying covariates. In mobile health applications, these covariates are typically collected at…

Machine Learning · Statistics 2023-01-04 Yuhe Gao , Chengchun Shi , Rui Song

We consider optimal sensor scheduling with unknown communication channel statistics. We formulate two types of scheduling problems with the communication rate being a soft or hard constraint, respectively. We first present some structural…

Systems and Control · Computer Science 2025-04-03 Shuang Wu , Xiaoqiang Ren , Qing-Shan Jia , Karl Henrik Johansson , Ling Shi

An individualized dose rule recommends a dose level within a continuous safe dose range based on patient level information such as physical conditions, genetic factors and medication histories. Traditionally, personalized dose finding…

Methodology · Statistics 2020-07-21 Liangyu Zhu , Wenbin Lu , Michael R. Kosorok , Rui Song

Client heterogeneity poses significant challenges to the performance of Quantum Federated Learning (QFL). To overcome these limitations, we propose a new approach leveraging deep unfolding, which enables clients to autonomously optimize…

Machine Learning · Computer Science 2025-06-26 Shanika Iroshi Nanayakkara , Shiva Raj Pokhrel

In this work, we propose a multi-stage training strategy for the development of deep learning algorithms applied to problems with multiscale features. Each stage of the pro-posed strategy shares an (almost) identical network structure and…

Numerical Analysis · Mathematics 2020-09-25 Eric Chung , Wing Tat Leung , Sai-Mang Pun , Zecheng Zhang

We consider the problem of federated Q-learning, where $M$ agents aim to collaboratively learn the optimal Q-function of an unknown infinite-horizon Markov decision process with finite state and action spaces. We investigate the trade-off…

Machine Learning · Computer Science 2024-10-31 Sudeep Salgia , Yuejie Chi

In clinical practice, physicians make a series of treatment decisions over the course of a patient's disease based on his/her baseline and evolving characteristics. A dynamic treatment regime is a set of sequential decision rules that…

Methodology · Statistics 2015-02-04 Phillip J. Schulte , Anastasios A. Tsiatis , Eric B. Laber , Marie Davidian

Prediction of survival for cancer patients is an open area of research. However, many of these studies focus on datasets with a large number of patients. We present a novel method that is specifically designed to address the challenge of…

Machine Learning · Computer Science 2015-09-30 Hamid Reza Hassanzadeh , John H. Phan , May D. Wang