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In this paper, we consider a simple discrete-time optimal betting problem using the celebrated Kelly criterion, which calls for maximization of the expected logarithmic growth of wealth. While the classical Kelly betting problem can be…

Optimization and Control · Mathematics 2021-03-11 Chung-Han Hsieh

Direct Preference Optimization (DPO) has gained attention as an efficient alternative to reinforcement learning from human feedback (RLHF) for aligning large language models (LLMs) with human preferences. Despite its advantages, DPO suffers…

Computation and Language · Computer Science 2025-02-21 Ruichen Shao , Bei Li , Gangao Liu , Yang Chen , Xiang Zhou , Jingang Wang , Xunliang Cai , Peng Li

We propose a new approach to solving dynamic decision problems with rewards that are unbounded below. The approach involves transforming the Bellman equation in order to convert an unbounded problem into a bounded one. The major advantage…

Theoretical Economics · Economics 2019-12-02 Qingyin Ma , John Stachurski

Bayesian optimization (BO) aims to minimize a given blackbox function using a model that is updated whenever new evidence about the function becomes available. Here, we address the problem of BO under partially right-censored response data,…

Artificial Intelligence · Computer Science 2013-10-09 Frank Hutter , Holger Hoos , Kevin Leyton-Brown

This article develops a continuous-time asymptotic framework for analyzing adaptive experiments -- settings in which data collection and treatment assignment evolve dynamically in response to incoming information. A key challenge in…

Econometrics · Economics 2026-02-26 Karun Adusumilli

Backtesting large language models on historical events requires reasoning exclusively from information available before a specified cutoff date. Yet models routinely leak post-cutoff knowledge from pre-training into their reasoning,…

Machine Learning · Computer Science 2026-05-20 Zeyu Zhang , Bradly C. Stadie

Various algorithms for reinforcement learning (RL) exhibit dramatic variation in their convergence rates as a function of problem structure. Such problem-dependent behavior is not captured by worst-case analyses and has accordingly inspired…

Machine Learning · Statistics 2022-01-24 Koulik Khamaru , Eric Xia , Martin J. Wainwright , Michael I. Jordan

Deep neural networks are one of the most successful classifiers across different domains. However, due to their limitations concerning interpretability their use is limited in safety critical context. The research field of explainable…

Machine Learning · Computer Science 2022-05-30 Dominique Mercier , Andreas Dengel , Sheraz Ahmed

In this paper, we consider discrete-time infinite horizon problems of optimal control to a terminal set of states. These are the problems that are often taken as the starting point for adaptive dynamic programming. Under very general…

Systems and Control · Computer Science 2015-10-05 Dimitri P. Bertsekas

We design sequential tests for a large class of nonparametric null hypotheses based on elicitable and identifiable functionals. Such functionals are defined in terms of scoring functions and identification functions, which are ideal…

Statistics Theory · Mathematics 2023-06-06 Philippe Casgrain , Martin Larsson , Johanna Ziegel

Selective Prediction is the task of rejecting inputs a model would predict incorrectly on. This involves a trade-off between input space coverage (how many data points are accepted) and model utility (how good is the performance on accepted…

Many approaches have been proposed for early classification of time series in light of itssignificance in a wide range of applications including healthcare, transportation and fi-nance. Until now, the early classification problem has been…

Artificial Intelligence · Computer Science 2021-09-23 Youssef Achenchabe , Alexis Bondu , Antoine Cornuéjols , Vincent Lemaire

This paper presents a new robust data-driven predictive control scheme for unknown linear time-invariant systems by using input-state-output or input-output data based on whether the state is measurable. To remove the need for the…

Systems and Control · Electrical Eng. & Systems 2024-01-17 Kaijian Hu , Tao Liu

We study risk-sensitive reinforcement learning (RL) based on the entropic risk measure. Although existing works have established non-asymptotic regret guarantees for this problem, they leave open an exponential gap between the upper and…

Machine Learning · Computer Science 2021-11-09 Yingjie Fei , Zhuoran Yang , Yudong Chen , Zhaoran Wang

Addressing the large inefficiencies generated by the Deferred Acceptance (DA) mechanism requires priority violations, but which ones are justifiable? The leading approach is to ask individuals if they consent to waive their priority…

Theoretical Economics · Economics 2026-04-09 Josué Ortega , R. Pablo Arribillaga

In oncology, phase II or multiple expansion cohort trials are crucial for clinical development plans. This is because they aid in identifying potent agents with sufficient activity to continue development and confirm the proof of concept.…

Methodology · Statistics 2024-05-24 Takuya Yoshimoto , Satoru Shinoda , Kouji Yamamoto , Kouji Tahata

Time series data is prevalent in a wide variety of real-world applications and it calls for trustworthy and explainable models for people to understand and fully trust decisions made by AI solutions. We consider the problem of building…

Machine Learning · Computer Science 2020-11-25 Tsung-Yu Hsieh , Suhang Wang , Yiwei Sun , Vasant Honavar

Adjustable hyperparameters of machine learning models typically impact various key trade-offs such as accuracy, fairness, robustness, or inference cost. Our goal in this paper is to find a configuration that adheres to user-specified limits…

Machine Learning · Computer Science 2023-12-05 Bracha Laufer-Goldshtein , Adam Fisch , Regina Barzilay , Tommi Jaakkola

This paper presents new fast exact feasibility tests for uniprocessor real-time systems using preemptive EDF scheduling. Task sets which are accepted by previously described sufficient tests will be evaluated in nearly the same time as with…

Other Computer Science · Computer Science 2011-11-09 Karsten Albers , Frank Slomka

This paper provides new conditions for dynamic optimality in discrete time and uses them to establish fundamental dynamic programming results for several commonly used recursive preference specifications. These include Epstein-Zin…

General Economics · Economics 2020-06-23 Guanlong Ren , John Stachurski
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