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We study the unconstrained minimization of a smooth and strongly convex population loss function under a stochastic oracle that introduces both additive and multiplicative noise; this is a canonical and widely-studied setting that arises…

最优化与控制 · 数学 2026-03-27 Liwei Jiang , Ashwin Pananjady

Affine policies (or control) are widely used as a solution approach in dynamic optimization where computing an optimal adjustable solution is usually intractable. While the worst case performance of affine policies can be significantly bad,…

最优化与控制 · 数学 2019-10-15 Omar El Housni , Vineet Goyal

This paper explores adaptive variance reduction methods for stochastic optimization based on the STORM technique. Existing adaptive extensions of STORM rely on strong assumptions like bounded gradients and bounded function values, or suffer…

最优化与控制 · 数学 2024-10-24 Wei Jiang , Sifan Yang , Yibo Wang , Lijun Zhang

In real-world decision making tasks, it is critical for data-driven reinforcement learning methods to be both stable and sample efficient. On-policy methods typically generate reliable policy improvement throughout training, while…

机器学习 · 计算机科学 2021-11-02 James Queeney , Ioannis Ch. Paschalidis , Christos G. Cassandras

This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

最优化与控制 · 数学 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

As autonomous vehicles (AVs) take on growing Operational Design Domains (ODDs), they need to go through a systematic, transparent, and scalable evaluation process to demonstrate their benefits to society. Current scenario sampling…

机器人学 · 计算机科学 2021-06-17 Anne Collin , Amitai Y. Bin-Nun , Radboud Duintjer Tebbens

We address the problem of estimating the inputs of a dynamical system from measurements of the system's outputs. To this end, we introduce a novel estimation algorithm that explicitly trades off bias and variance to optimally reduce the…

机器学习 · 计算机科学 2019-09-20 Sebastian Curi , Kfir Y. Levy , Andreas Krause

There is an emerging need for efficient solutions to stochastic AC Optimal Power Flow ({AC-}OPF) to ensure optimal and reliable grid operations in the presence of increasing demand and generation uncertainty. This paper presents a highly…

系统与控制 · 电气工程与系统科学 2020-06-11 Ilyes Mezghani , Sidhant Misra , Deepjyoti Deka

We present a model-based derivative-free method for optimization subject to general convex constraints, which we assume are unrelaxable and accessed only through a projection operator that is cheap to evaluate. We prove global convergence…

最优化与控制 · 数学 2022-03-18 Matthew Hough , Lindon Roberts

We study a class of two-stage stochastic programs, namely, those with fixed recourse matrix and fixed costs, and linear second stage. We show that, under mild assumptions, the problem can be solved with just one scenario, which we call an…

最优化与控制 · 数学 2025-10-29 Tito Homem-de-Mello , Juan Valencia , Felipe Lagos , Guido Lagos

The Vector AutoRegressive Moving Average (VARMA) model is fundamental to the theory of multivariate time series; however, identifiability issues have led practitioners to abandon it in favor of the simpler but more restrictive Vector…

统计方法学 · 统计学 2021-06-09 Ines Wilms , Sumanta Basu , Jacob Bien , David S. Matteson

The Predict-Then-Optimize framework uses machine learning models to predict unknown parameters of an optimization problem from exogenous features before solving. This setting is common to many real-world decision processes, and recently it…

机器学习 · 计算机科学 2024-09-10 James Kotary , Vincenzo Di Vito , Jacob Cristopher , Pascal Van Hentenryck , Ferdinando Fioretto

We introduce "Search with Amortized Value Estimates" (SAVE), an approach for combining model-free Q-learning with model-based Monte-Carlo Tree Search (MCTS). In SAVE, a learned prior over state-action values is used to guide MCTS, which…

The Automated Model Evaluation (AutoEval) framework entertains the possibility of evaluating a trained machine learning model without resorting to a labeled testing set. Despite the promise and some decent results, the existing AutoEval…

计算机视觉与模式识别 · 计算机科学 2023-08-23 Ru Peng , Qiuyang Duan , Haobo Wang , Jiachen Ma , Yanbo Jiang , Yongjun Tu , Xiu Jiang , Junbo Zhao

Off-policy evaluation (OPE) is a method for estimating the return of a target policy using some pre-collected observational data generated by a potentially different behavior policy. In some cases, there may be unmeasured variables that can…

机器学习 · 统计学 2023-02-03 Yang Xu , Jin Zhu , Chengchun Shi , Shikai Luo , Rui Song

Prediction models are traditionally optimized independently from their use in the asset allocation decision-making process. We address this shortcoming and present a framework for integrating regression prediction models in a mean-variance…

投资组合管理 · 定量金融 2022-12-01 Andrew Butler , Roy H. Kwon

By integrating dynamics models into model-free reinforcement learning (RL) methods, model-based value expansion (MVE) algorithms have shown a significant advantage in sample efficiency as well as value estimation. However, these methods…

机器学习 · 计算机科学 2019-12-12 Bo Zhou , Hongsheng Zeng , Fan Wang , Yunxiang Li , Hao Tian

Large language models have demonstrated remarkable capabilities, but their performance is heavily reliant on effective prompt engineering. Automatic prompt optimization (APO) methods are designed to automate this and can be broadly…

计算与语言 · 计算机科学 2024-11-08 Xingchen Wan , Ruoxi Sun , Hootan Nakhost , Sercan O. Arik

Group-based policy optimization methods like GRPO and GSPO have become standard for training multimodal models, leveraging group-wise rollouts and relative advantage estimation. However, they suffer from a critical \emph{gradient vanishing}…

机器学习 · 计算机科学 2025-11-25 Zengjie Hu , Jiantao Qiu , Tianyi Bai , Haojin Yang , Binhang Yuan , Qi Jing , Conghui He , Wentao Zhang

We propose a simple subsampling scheme for fast randomized approximate computation of optimal transport distances. This scheme operates on a random subset of the full data and can use any exact algorithm as a black-box back-end, including…

统计计算 · 统计学 2020-12-17 Max Sommerfeld , Jörn Schrieber , Yoav Zemel , Axel Munk