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Precision medicine is of considerable interest in clinical, academic and regulatory parties. The key to precision medicine is the optimal treatment regime. Recently, Zhou et al. (2017) developed residual weighted learning (RWL) to construct…

Methodology · Statistics 2017-11-30 Xin Zhou , Michael R. Kosorok

In this paper, we propose and study opportunistic reinforcement learning - a new variant of reinforcement learning problems where the regret of selecting a suboptimal action varies under an external environmental condition known as the…

Machine Learning · Computer Science 2022-10-26 Xiaoxiao Wang , Nader Bouacida , Xueying Guo , Xin Liu

Biomedical researchers usually study the effects of certain exposures on disease risks among a well-defined population. To achieve this goal, the gold standard is to design a trial with an appropriate sample from that population. Due to the…

Applications · Statistics 2019-11-18 Cheng Zheng , Sayan Dasgupta , Yuxiang Xie , Asad Haris , Ying Qing Chen

Distributional reinforcement learning (DRL) enhances the understanding of the effects of the randomness in the environment by letting agents learn the distribution of a random return, rather than its expected value as in standard…

Optimization and Control · Mathematics 2024-03-26 Zifan Wang , Yulong Gao , Siyi Wang , Michael M. Zavlanos , Alessandro Abate , Karl H. Johansson

We study the problem of learning under arbitrary distribution shift, where the learner is trained on a labeled set from one distribution but evaluated on a different, potentially adversarially generated test distribution. We focus on two…

Data Structures and Algorithms · Computer Science 2024-06-06 Surbhi Goel , Abhishek Shetty , Konstantinos Stavropoulos , Arsen Vasilyan

Consider a semi-supervised setting with a labeled dataset of binary responses and predictors and an unlabeled dataset with only the predictors. Logistic regression is equivalent to an exponential tilt model in the labeled population. For…

Machine Learning · Statistics 2023-11-16 Ye Tian , Xinwei Zhang , Zhiqiang Tan

We tackle the problem of online optimization with a general, possibly unbounded, loss function. It is well known that when the loss is bounded, the exponentially weighted aggregation strategy (EWA) leads to a regret in $\sqrt{T}$ after $T$…

Machine Learning · Statistics 2022-01-17 Pierre Alquier

Designing learning agents that explore efficiently in a complex environment has been widely recognized as a fundamental challenge in reinforcement learning. While a number of works have demonstrated the effectiveness of techniques based on…

Machine Learning · Computer Science 2025-06-17 Yan Chen , Qinxun Bai , Yiteng Zhang , Shi Dong , Maria Dimakopoulou , Qi Sun , Zhengyuan Zhou

Considering the problem of risk-sensitive parameter estimation, we propose a fairly wide family of lower bounds on the exponential moments of the quadratic error, both in the Bayesian and the non--Bayesian regime. This family of bounds,…

Information Theory · Computer Science 2017-03-02 Neri Merhav

We prove that any algorithm for learning parities requires either a memory of quadratic size or an exponential number of samples. This proves a recent conjecture of Steinhardt, Valiant and Wager and shows that for some learning problems a…

Machine Learning · Computer Science 2016-02-17 Ran Raz

We study the problem of incentive-compatible online learning with bandit feedback. In this class of problems, the experts are self-interested agents who might misrepresent their preferences with the goal of being selected most often. The…

Machine Learning · Computer Science 2024-05-13 Julian Zimmert , Teodor V. Marinov

Extreme learning machine (ELM) is a new single hidden layer feedback neural network. The weights of the input layer and the biases of neurons in hidden layer are randomly generated, the weights of the output layer can be analytically…

Machine Learning · Computer Science 2018-03-13 Lin Feng , Shuliang Xu , Feilong Wang , Shenglan Liu

We propose policy gradient algorithms which learn risk-sensitive policies in a reinforcement learning (RL) framework. Our proposed algorithms maximize the distortion risk measure (DRM) of the cumulative reward in an episodic Markov decision…

Machine Learning · Computer Science 2024-02-06 Nithia Vijayan , Prashanth L. A

Following a line of work that takes advantage of vast machine-learned data to enhance online algorithms with (possibly erroneous) information about future inputs, we consider predictions in the context of deterministic algorithms for the…

Data Structures and Algorithms · Computer Science 2025-02-17 Christodoulos Karavasilis

In the context of a linear model with a sparse coefficient vector, exponential weights methods have been shown to be achieve oracle inequalities for prediction. We show that such methods also succeed at variable selection and estimation…

Statistics Theory · Mathematics 2012-09-18 Ery Arias-Castro , Karim Lounici

We provide theoretical investigations into off-policy evaluation in reinforcement learning using function approximators for (marginalized) importance weights and value functions. Our contributions include: (1) A new estimator, MWL, that…

Machine Learning · Computer Science 2020-10-08 Masatoshi Uehara , Jiawei Huang , Nan Jiang

We study the collaborative PAC learning problem recently proposed in Blum et al.~\cite{BHPQ17}, in which we have $k$ players and they want to learn a target function collaboratively, such that the learned function approximates the target…

Machine Learning · Computer Science 2018-10-15 Jiecao Chen , Qin Zhang , Yuan Zhou

Extreme learning machine (ELM) as an emerging branch of shallow networks has shown its excellent generalization and fast learning speed. However, for blended data, the robustness of ELM is weak because its weights and biases of hidden nodes…

Machine Learning · Computer Science 2014-09-24 Bo Han , Bo He , Mengmeng Ma , Tingting Sun , Tianhong Yan , Amaury Lendasse

We develop a rigorous framework for deterministic coreset construction in empirical risk minimization (ERM). Our central contribution is the Adaptive Deterministic Uniform-Weight Trimming (ADUWT) algorithm, which constructs a coreset by…

Machine Learning · Statistics 2025-08-27 Faruk Alpay , Taylan Alpay

Learning models whose predictions are invariant under multiple environments is a promising approach for out-of-distribution generalization. Such models are trained to extract features $X_{\text{inv}}$ where the conditional distribution $Y…

Machine Learning · Computer Science 2024-07-29 Gina Wong , Joshua Gleason , Rama Chellappa , Yoav Wald , Anqi Liu