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Safe derivative-free optimization under unknown constraints is a fundamental challenge in modern learning and control. Existing zeroth-order (ZO) methods typically still assume access to a first-order oracle of the constraint functions or…

Optimization and Control · Mathematics 2026-01-29 Runyu Zhang , Gioele Zardini , Asuman Ozdaglar , Jeff Shamma , Na Li

Reliability-based design optimization (RBDO) is an active field of research with an ever increasing number of contributions. Numerous methods have been proposed for the solution of RBDO, a complex problem that combines optimization and…

Methodology · Statistics 2019-01-11 M. Moustapha , B. Sudret

Gradient descent and backpropagation have enabled neural networks to achieve remarkable results in many real-world applications. Despite ongoing success, training a neural network with gradient descent can be a slow and strenuous affair. We…

Machine Learning · Computer Science 2020-11-19 Varun Ranganathan , Alex Lewandowski

Federated learning is a distributed learning framework that allows a set of clients to collaboratively train a model under the orchestration of a central server, without sharing raw data samples. Although in many practical scenarios the…

Machine Learning · Computer Science 2023-10-02 Alessio Maritan , Subhrakanti Dey , Luca Schenato

In this paper we analyze a zeroth-order proximal stochastic gradient method suitable for the minimization of weakly convex stochastic optimization problems. We consider nonsmooth and nonlinear stochastic composite problems, for which…

Optimization and Control · Mathematics 2025-04-21 Spyridon Pougkakiotis , Dionysios S. Kalogerias

We introduce a surrogate-based black-box optimization method, termed Polynomial-model-based optimization (PMBO). The algorithm alternates polynomial approximation with Bayesian optimization steps, using Gaussian processes to model the error…

Optimization and Control · Mathematics 2024-03-13 Janina Schreiber , Pau Batlle , Damar Wicaksono , Michael Hecht

Brain-inspired neuromorphic computing with spiking neural networks (SNNs) is a promising energy-efficient computational approach. However, successfully training SNNs in a more biologically plausible and neuromorphic-hardware-friendly way is…

Neural and Evolutionary Computing · Computer Science 2024-07-18 Mingqing Xiao , Qingyan Meng , Zongpeng Zhang , Di He , Zhouchen Lin

The problem of maximizing precision at the top of a ranked list, often dubbed Precision@k (prec@k), finds relevance in myriad learning applications such as ranking, multi-label classification, and learning with severe label imbalance.…

Machine Learning · Statistics 2015-05-27 Purushottam Kar , Harikrishna Narasimhan , Prateek Jain

We study distributed multiagent optimization over (directed, time-varying) graphs. We consider the minimization of $F+G$ subject to convex constraints, where $F$ is the smooth strongly convex sum of the agent's losses and $G$ is a nonsmooth…

Optimization and Control · Mathematics 2020-10-13 Ying Sun , Amir Daneshmand , Gesualdo Scutari

One of the major bottlenecks for deploying popular first-order differentially private (DP) machine learning algorithms (e.g., DP-SGD) lies in their high computation and memory cost, despite the existence of optimized implementations.…

Machine Learning · Computer Science 2026-01-14 Xuchen Gong , Tian Li

In this paper, we focus on solving an important class of nonconvex optimization problems which includes many problems for example signal processing over a networked multi-agent system and distributed learning over networks. Motivated by…

Optimization and Control · Mathematics 2018-10-25 Ehsan Kazemi , Liqiang Wang

Proximal gradient algorithms (PGA), while foundational for inverse problems like image reconstruction, often yield unstable convergence and suboptimal solutions by violating the critical non-negativity constraint. We identify the gradient…

Machine Learning · Computer Science 2025-10-28 Hanzhang Wang , Zonglin Liu , Jingyi Xu , Chenyang Wang , Zhiwei Zhong , Qiangqiang Shen

In this paper we analyze boosting algorithms in linear regression from a new perspective: that of modern first-order methods in convex optimization. We show that classic boosting algorithms in linear regression, namely the incremental…

Statistics Theory · Mathematics 2015-05-19 Robert M. Freund , Paul Grigas , Rahul Mazumder

We revisit the one-point feedback zeroth-order (ZO) optimization problem, a classical setting in derivative-free optimization where only a single noisy function evaluation is available per query. Compared to their two-point counterparts,…

Optimization and Control · Mathematics 2025-08-19 Haishan Ye , Xiangyu Chang

Hyperparameter optimization (HPO) is a central pillar in the automation of machine learning solutions and is mainly performed via Bayesian optimization, where a parametric surrogate is learned to approximate the black box response function…

Machine Learning · Computer Science 2021-01-20 Martin Wistuba , Josif Grabocka

First-order methods for stochastic optimization have undeniable relevance, in part due to their pivotal role in machine learning. Variance reduction for these algorithms has become an important research topic. In contrast to common…

Machine Learning · Computer Science 2021-09-08 Manuel Madeira , Renato Negrinho , João Xavier , Pedro M. Q. Aguiar

Variance reduction techniques are designed to decrease the sampling variance, thereby accelerating convergence rates of first-order (FO) and zeroth-order (ZO) optimization methods. However, in composite optimization problems, ZO methods…

Machine Learning · Computer Science 2024-05-29 Hao Di , Haishan Ye , Yueling Zhang , Xiangyu Chang , Guang Dai , Ivor W. Tsang

In this study, we consider an optimization problem with uncertainty dependent on decision variables, which has recently attracted attention due to its importance in machine learning and pricing applications. In this problem, the gradient of…

Optimization and Control · Mathematics 2024-12-31 Yuya Hikima , Akiko Takeda

Zeroth-order optimization is an important research topic in machine learning. In recent years, it has become a key tool in black-box adversarial attack to neural network based image classifiers. However, existing zeroth-order optimization…

Machine Learning · Computer Science 2019-03-21 Haishan Ye , Zhichao Huang , Cong Fang , Chris Junchi Li , Tong Zhang

Zeroth-order (ZO) optimization, learning from finite differences of function evaluations without backpropagation, has recently regained attention in deep learning due to its memory efficiency and applicability to gray- or black-box…