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Fast gradient-based optimization algorithms have become increasingly essential for the computationally efficient training of machine learning models. One technique is to multiply the gradient by a preconditioner matrix to produce a step,…

Machine Learning · Computer Science 2023-09-12 Isaac Liao , Rumen R. Dangovski , Jakob N. Foerster , Marin Soljačić

Finite-difference methods are a class of algorithms designed to solve black-box optimization problems by approximating a gradient of the target function on a set of directions. In black-box optimization, the non-smooth setting is…

Optimization and Control · Mathematics 2023-11-07 Marco Rando , Cesare Molinari , Lorenzo Rosasco , Silvia Villa

Large Language Models (LLMs) perform well on many NLP tasks, but fine-tuning them on resource-constrained mobile devices is challenging due to high memory and computation costs, despite growing demands for privacy-preserving…

Machine Learning · Computer Science 2026-01-21 He Sun , Jinrui Zhou , Li Li , Mingjun Xiao

Federated learning (FL) is a popular machine learning technique that enables multiple users to collaboratively train a model while maintaining the user data privacy. A significant challenge in FL is the communication bottleneck in the…

Machine Learning · Computer Science 2024-09-26 Elissa Mhanna , Mohamad Assaad

Zeroth-order methods are extensively used in machine learning applications where gradients are infeasible or expensive to compute, such as black-box attacks, reinforcement learning, and language model fine-tuning. Existing optimization…

Machine Learning · Computer Science 2025-11-12 Liang Zhang , Bingcong Li , Kiran Koshy Thekumparampil , Sewoong Oh , Michael Muehlebach , Niao He

As 6G and beyond networks grow increasingly complex and interconnected, federated learning (FL) emerges as an indispensable paradigm for securely and efficiently leveraging decentralized edge data for AI. By virtue of the superposition…

Machine Learning · Computer Science 2024-12-24 Jonggyu Jang , Hyeonsu Lyu , David J. Love , Hyun Jong Yang

Backpropagation provides a generalized configuration for overcoming catastrophic forgetting. Optimizers such as SGD and Adam are commonly used for weight updates in continual learning and continual pre-training. However, access to gradient…

Computer Vision and Pattern Recognition · Computer Science 2025-06-09 Tao Feng , Wei Li , Didi Zhu , Hangjie Yuan , Wendi Zheng , Dan Zhang , Jie Tang

Automatic prompt optimization is an important approach to improving the performance of large language models (LLMs). Recent research demonstrates the potential of using LLMs as prompt optimizers, which can generate improved task prompts via…

Computation and Language · Computer Science 2025-01-28 Xinyu Tang , Xiaolei Wang , Wayne Xin Zhao , Siyuan Lu , Yaliang Li , Ji-Rong Wen

In this paper, we study zeroth-order algorithms for minimax optimization problems that are nonconvex in one variable and strongly-concave in the other variable. Such minimax optimization problems have attracted significant attention lately…

Machine Learning · Statistics 2022-04-06 Zhongruo Wang , Krishnakumar Balasubramanian , Shiqian Ma , Meisam Razaviyayn

Federated fine-tuning of large language models (LLMs) enables collaborative tuning across distributed clients. However, due to the large size of LLMs, local updates in federated learning (FL) may incur substantial video random-access memory…

Machine Learning · Computer Science 2026-03-06 Chuiyang Meng , Ming Tang , Vincent W. S. Wong

Layer pruning removes entire Transformer decoder blocks from large language models, but introduces a mismatch between the hidden state received by the next surviving layer and the distribution it was trained to process, leading to…

Machine Learning · Computer Science 2026-05-18 Vincent-Daniel Yun , Junhyuk Jo , Sai Praneeth Karimireddy , Sunwoo Lee

Safety alignment for large language models (LLMs) aims to reduce harmful or unsafe behavior while preserving general utility. However, recent findings reveal that alignment effects can be fragile: lightweight post-alignment manipulations,…

Artificial Intelligence · Computer Science 2026-05-29 Zhihao Liu , Yifan Wu , Jian Lou , Di Wang , Yuxi Zhou , Yuke Hu

Momentum-Aided Prompt Optimization (MAPO) enhances the efficiency and efficacy of prompt optimization for Large Language Models (LLMs). Building on ProTeGi, MAPO uses positive natural language "gradients" and a momentum-based extension to…

Computation and Language · Computer Science 2025-06-30 Anthony Cui , Pranav Nandyalam , Andrew Rufail , Ethan Cheung , Aiden Lei , Kevin Zhu , Sean O'Brien

Network pruning focuses on algorithms that aim to reduce a given model's computational cost by removing a subset of its parameters while having minimal impact on performance. Throughout the last decade, the most widely used pruning paradigm…

Machine Learning · Computer Science 2025-11-11 Elia Cunegatti , Leonardo Lucio Custode , Giovanni Iacca

Comparison-Based Optimization (CBO) is an optimization paradigm that assumes only very limited access to the objective function f(x). Despite the growing relevance of CBO to real-world applications, this field has received little attention…

Optimization and Control · Mathematics 2023-03-27 Isha Slavin , Daniel McKenzie

Low-rank gradient-based optimization methods have significantly improved memory efficiency during the training of large language models (LLMs), enabling operations within constrained hardware without sacrificing performance. However, these…

Machine Learning · Computer Science 2025-10-28 Yehonathan Refael , Guy Smorodinsky , Tom Tirer , Ofir Lindenbaum

Recent advancements in Large Vision-Language Models (LVLMs) have shown groundbreaking capabilities across diverse multimodal tasks. However, these models remain vulnerable to adversarial jailbreak attacks, where adversaries craft subtle…

Cryptography and Security · Computer Science 2026-01-23 Jiwei Guan , Haibo Jin , Haohan Wang

Approximate bi-level optimization (ABLO) consists of (outer-level) optimization problems, involving numerical (inner-level) optimization loops. While ABLO has many applications across deep learning, it suffers from time and memory…

Machine Learning · Computer Science 2021-06-09 Valerii Likhosherstov , Xingyou Song , Krzysztof Choromanski , Jared Davis , Adrian Weller

Boosting is a highly successful ML-born optimization setting in which one is required to computationally efficiently learn arbitrarily good models based on the access to a weak learner oracle, providing classifiers performing at least…

Machine Learning · Computer Science 2024-11-15 Richard Nock , Yishay Mansour

Trilevel learning (TLL) found diverse applications in numerous machine learning applications, ranging from robust hyperparameter optimization to domain adaptation. However, existing researches primarily focus on scenarios where TLL can be…

Machine Learning · Computer Science 2024-12-11 Yang Jiao , Kai Yang , Chengtao Jian