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We consider distributed on-device learning with limited communication and security requirements. We propose a new robust distributed optimization algorithm with efficient communication and attack tolerance. The proposed algorithm has…

Machine Learning · Computer Science 2019-10-03 Cong Xie , Sanmi Koyejo , Indranil Gupta

We study online convex optimization with switching costs, a practically important but also extremely challenging problem due to the lack of complete offline information. By tapping into the power of machine learning (ML) based optimizers,…

Machine Learning · Computer Science 2022-04-25 Pengfei Li , Jianyi Yang , Shaolei Ren

In contrast to training traditional machine learning (ML) models in data centers, federated learning (FL) trains ML models over local datasets contained on resource-constrained heterogeneous edge devices. Existing FL algorithms aim to learn…

Machine Learning · Computer Science 2022-09-13 El Houcine Bergou , Konstantin Burlachenko , Aritra Dutta , Peter Richtárik

Multi-objective optimization (MOO) is receiving more attention in various fields such as multi-task learning. Recent works provide some effective algorithms with theoretical analysis but they are limited by the standard $L$-smooth or…

Machine Learning · Computer Science 2025-03-11 Qi Zhang , Peiyao Xiao , Shaofeng Zou , Kaiyi Ji

We propose a distributionally robust approach to learning hyperparameters for first-order methods in convex optimization. Given a dataset of problem instances, we minimize a Wasserstein distributionally robust version of the performance…

Machine Learning · Computer Science 2026-05-08 Vinit Ranjan , Jisun Park , Bartolomeo Stellato

Learned optimizers are powerful alternatives to hand-designed update rules like Adam, yet they have seen limited practical adoption since they often fail to meta-generalize beyond their training distribution and incur high meta-training…

Machine Learning · Computer Science 2026-02-24 Abhinav Moudgil , Boris Knyazev , Eugene Belilovsky

Deep learning approaches have shown promising results in solving routing problems. However, there is still a substantial gap in solution quality between machine learning and operations research algorithms. Recently, another line of research…

Artificial Intelligence · Computer Science 2021-09-20 Nasrin Sultana , Jeffrey Chan , Tabinda Sarwar , Babak Abbasi , A. K. Qin

Learning-to-optimize leverages machine learning to accelerate optimization algorithms. While empirical results show tremendous improvements compared to classical optimization algorithms, theoretical guarantees are mostly lacking, such that…

Machine Learning · Computer Science 2025-06-02 Michael Sucker , Peter Ochs

Learning-to-Defer (L2D) enables hybrid decision-making by routing inputs either to a predictor or to external experts. While promising, L2D is highly vulnerable to adversarial perturbations, which can not only flip predictions but also…

Machine Learning · Statistics 2026-05-29 Yannis Montreuil , Letian Yu , Axel Carlier , Lai Xing Ng , Wei Tsang Ooi

Lion optimizer is a popular learning-based optimization algorithm in machine learning, which shows impressive performance in training many deep learning models. Although convergence property of the Lion optimizer has been studied, its…

Machine Learning · Computer Science 2026-04-17 Feihu Huang , Guanyi Zhang , Songcan Chen

Group Relative Policy Optimization (GRPO) has demonstrated wide adoption in the post-training of Large Language Models (LLMs). In GRPO, prompts are answered by the model and preferred behaviour is learnt via reinforcement learning. Owing to…

Machine Learning · Computer Science 2026-04-15 Nikolay Blagoev , Oğuzhan Ersoy , Lydia Yiyu Chen

Large Language Models (LLMs) suffer from order bias, where their performance is affected by the arrangement order of input elements. This unfairness limits the model's applications in scenarios such as in-context learning and…

Machine Learning · Computer Science 2026-05-13 Xu Chu , Guanyu Wang , Zhijie Tan , Xinrong Chen , Ziyu Li , Tong Mo , Weiping Li

We introduce a principled learning to optimize (L2O) framework for solving fixed-point problems involving general nonexpansive mappings. Our idea is to deliberately inject summable perturbations into a standard Krasnosel'skii-Mann iteration…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Andrea Martin , Giuseppe Belgioioso

Modern machine learning and deep learning models are shown to be vulnerable when testing data are slightly perturbed. Existing theoretical studies of adversarial training algorithms mostly focus on either adversarial training losses or…

Machine Learning · Statistics 2021-04-07 Yue Xing , Qifan Song , Guang Cheng

Machine learning algorithms aim to find patterns from observations, which may include some noise, especially in robotics domain. To perform well even with such noise, we expect them to be able to detect outliers and discard them when…

Machine Learning · Computer Science 2020-03-04 Wendyam Eric Lionel Ilboudo , Taisuke Kobayashi , Kenji Sugimoto

This work studies the problem of learning episodic Markov Decision Processes with known transition and bandit feedback. We develop the first algorithm with a ``best-of-both-worlds'' guarantee: it achieves $\mathcal{O}(log T)$ regret when…

Machine Learning · Computer Science 2020-11-03 Tiancheng Jin , Haipeng Luo

Layer-wise preconditioning methods are a family of memory-efficient optimization algorithms that introduce preconditioners per axis of each layer's weight tensors. These methods have seen a recent resurgence, demonstrating impressive…

Machine Learning · Computer Science 2025-02-05 Thomas T. Zhang , Behrad Moniri , Ansh Nagwekar , Faraz Rahman , Anton Xue , Hamed Hassani , Nikolai Matni

We identify and formalize an underexplored phenomenon in deep learning optimization: directional alignment and loss convergence can be decoupled. An optimizer can exhibit near-perfect directional consistency (cc_t -> 1, measured via…

Machine Learning · Computer Science 2026-05-08 Victor Daniel Gera

We show that memory-augmented Transformers can implement the entire class of linear first-order methods (LFOMs), a class that contains gradient descent (GD) and more advanced methods such as conjugate gradient descent (CGD), momentum…

Machine Learning · Computer Science 2025-02-04 Sanchayan Dutta , Suvrit Sra

Two-stage Learning-to-Defer (L2D) enables optimal task delegation by assigning each input to either a fixed main model or one of several offline experts, supporting reliable decision-making in complex, multi-agent environments. However,…

Machine Learning · Statistics 2025-08-26 Yannis Montreuil , Axel Carlier , Lai Xing Ng , Wei Tsang Ooi