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In this paper, we consider the general non-oblivious stochastic optimization where the underlying stochasticity may change during the optimization procedure and depends on the point at which the function is evaluated. We develop Stochastic…

最优化与控制 · 数学 2020-09-10 Hamed Hassani , Amin Karbasi , Aryan Mokhtari , Zebang Shen

We address the challenge of zeroth-order online convex optimization where the objective function's gradient exhibits sparsity, indicating that only a small number of dimensions possess non-zero gradients. Our aim is to leverage this…

We study the problem of finding an $\epsilon$-first-order stationary point (FOSP) of a smooth function, given access only to gradient information. The best-known gradient query complexity for this task, assuming both the gradient and…

最优化与控制 · 数学 2024-12-04 Ruichen Jiang , Aryan Mokhtari , Francisco Patitucci

Online linear programming (OLP) has gained significant attention from both researchers and practitioners due to its extensive applications, such as online auction, network revenue management, order fulfillment and advertising. Existing OLP…

数据结构与算法 · 计算机科学 2025-11-18 Guokai Li , Zizhuo Wang , Jingwei Zhang

We consider the problem of designing an allocation rule or an "online learning algorithm" for a class of bandit problems in which the set of control actions available at each time $s$ is a convex, compact subset of $\mathbb{R}^d$. Upon…

机器学习 · 统计学 2017-03-09 Rahul Singh , Taposh Banerjee

We consider a smoothed online convex optimization (SOCO) problem with predictions, where the learner has access to a finite lookahead window of time-varying stage costs, but suffers a switching cost for changing its actions at each stage.…

最优化与控制 · 数学 2023-10-16 Spandan Senapati , Ashwin Shenai , Ketan Rajawat

Online streaming feature selection (OSFS), which conducts feature selection in an online manner, plays an important role in dealing with high-dimensional data. In many real applications such as intelligent healthcare platform, streaming…

机器学习 · 计算机科学 2022-08-04 Feilong Chen , Di Wu , Jie Yang , Yi He

The stochastic Frank-Wolfe method has recently attracted much general interest in the context of optimization for statistical and machine learning due to its ability to work with a more general feasible region. However, there has been a…

最优化与控制 · 数学 2019-11-06 Haihao Lu , Robert M. Freund

Despite the significant progress that has been made on estimating optical flow recently, most estimation methods, including classical and deep learning approaches, still have difficulty with multi-scale estimation, real-time computation,…

计算机视觉与模式识别 · 计算机科学 2018-05-09 Yi Zhu , Shawn Newsam

Neural Scene Flow Prior (NSFP) is of significant interest to the vision community due to its inherent robustness to out-of-distribution (OOD) effects and its ability to deal with dense lidar points. The approach utilizes a coordinate neural…

计算机视觉与模式识别 · 计算机科学 2023-08-30 Xueqian Li , Jianqiao Zheng , Francesco Ferroni , Jhony Kaesemodel Pontes , Simon Lucey

We consider non-differentiable dynamic optimization problems such as those arising in robotics and subspace tracking. Given the computational constraints and the time-varying nature of the problem, a low-complexity algorithm is desirable,…

最优化与控制 · 数学 2019-02-20 Rishabh Dixit , Amrit Singh Bedi , Ruchi Tripathi , Ketan Rajawat

We study the problem of private online learning, specifically, online prediction from experts (OPE) and online convex optimization (OCO). We propose a new transformation that transforms lazy online learning algorithms into private…

机器学习 · 计算机科学 2025-02-25 Hilal Asi , Tomer Koren , Daogao Liu , Kunal Talwar

The ordered weighted $\ell_1$ norm (OWL) was recently proposed, with two different motivations: its good statistical properties as a sparsity promoting regularizer; the fact that it generalizes the so-called {\it octagonal shrinkage and…

数据结构与算法 · 计算机科学 2015-04-13 Xiangrong Zeng , Mário A. T. Figueiredo

Derivative-free optimization (DFO) is vital in solving complex optimization problems where only noisy function evaluations are available through an oracle. Within this domain, DFO via finite difference (FD) approximation has emerged as a…

机器学习 · 计算机科学 2025-02-19 Wang Du-Yi , Liang Guo , Liu Guangwu , Zhang Kun

We propose a novel and efficient training method for RNNs by iteratively seeking a local minima on the loss surface within a small region, and leverage this directional vector for the update, in an outer-loop. We propose to utilize the…

机器学习 · 计算机科学 2020-10-16 Yun Yue , Ming Li , Venkatesh Saligrama , Ziming Zhang

We formalize the problem of online learning-unlearning, where a model is updated sequentially in an online setting while accommodating unlearning requests between updates. After a data point is unlearned, all subsequent outputs must be…

机器学习 · 计算机科学 2025-05-14 Yaxi Hu , Bernhard Schölkopf , Amartya Sanyal

Performative reinforcement learning is an emerging dynamical decision making framework, which extends reinforcement learning to the common applications where the agent's policy can change the environmental dynamics. Existing works on…

机器学习 · 计算机科学 2025-10-07 Ziyi Chen , Heng Huang

In this paper, we consider non-convex optimization problems under \textit{unknown} yet safety-critical constraints. Such problems naturally arise in a variety of domains including robotics, manufacturing, and medical procedures, where it is…

机器学习 · 计算机科学 2020-06-25 Mohammad Fereydounian , Zebang Shen , Aryan Mokhtari , Amin Karbasi , Hamed Hassani

In this work we design and compare different supervised learning algorithms to compute the cost of Alternating Current Optimal Power Flow (ACOPF). The motivation for quick calculation of OPF cost outcomes stems from the growing need of…

机器学习 · 计算机科学 2016-12-21 Raphael Canyasse , Gal Dalal , Shie Mannor

A novel derivative-free algorithm, optimization by moving ridge functions (OMoRF), for unconstrained and bound-constrained optimization is presented. This algorithm couples trust region methodologies with output-based dimension reduction to…

最优化与控制 · 数学 2021-01-07 James C. Gross , Geoffrey T. Parks