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Large Language Models (LLMs) have become a milestone in the field of artificial intelligence and natural language processing. However, their large-scale deployment remains constrained by the need for significant computational resources.…

计算与语言 · 计算机科学 2025-08-07 Julián Camilo Velandia Gutiérrez

Although application examples of multilevel optimization have already been discussed since the 1990s, the development of solution methods was almost limited to bilevel cases due to the difficulty of the problem. In recent years, in machine…

最优化与控制 · 数学 2021-10-27 Ryo Sato , Mirai Tanaka , Akiko Takeda

This paper provides a review and commentary on the past, present, and future of numerical optimization algorithms in the context of machine learning applications. Through case studies on text classification and the training of deep neural…

机器学习 · 统计学 2018-02-12 Léon Bottou , Frank E. Curtis , Jorge Nocedal

Although traditional optimization methods focus on finding a single optimal solution, most objective functions in modern machine learning problems, especially those in deep learning, often have multiple or infinite numbers of optima.…

机器学习 · 计算机科学 2022-02-18 Chengyue Gong , Lemeng Wu , Qiang Liu

In this work, we study an optimizer, Grad-Avg to optimize error functions. We establish the convergence of the sequence of iterates of Grad-Avg mathematically to a minimizer (under boundedness assumption). We apply Grad-Avg along with some…

机器学习 · 计算机科学 2020-12-11 Saugata Purkayastha , Sukannya Purkayastha

Optimization techniques have become increasingly critical due to the ever-growing model complexity and data scale. In particular, teleportation has emerged as a promising approach, which accelerates convergence of gradient descent-based…

机器学习 · 计算机科学 2025-02-18 Zihao Wu , Juncheng Dong , Ahmed Aloui , Vahid Tarokh

Optimization problems are ubiquitous in our societies and are present in almost every segment of the economy. Most of these optimization problems are NP-hard and computationally demanding, often requiring approximate solutions for…

最优化与控制 · 数学 2021-06-23 James Kotary , Ferdinando Fioretto , Pascal Van Hentenryck

In many personalized recommendation scenarios, the generalization ability of a target task can be improved via learning with additional auxiliary tasks alongside this target task on a multi-task network. However, this method often suffers…

机器学习 · 计算机科学 2022-03-15 Yun He , Xue Feng , Cheng Cheng , Geng Ji , Yunsong Guo , James Caverlee

Multi-task learning (MTL) has achieved great success in various research domains, such as CV, NLP and IR etc. Due to the complex and competing task correlation, naive training all tasks may lead to inequitable learning, i.e. some tasks are…

机器学习 · 计算机科学 2023-06-21 Jun Yuan , Rui Zhang

To solve video-and-language grounding tasks, the key is for the network to understand the connection between the two modalities. For a pair of video and language description, their semantic relation is reflected by their encodings'…

计算机视觉与模式识别 · 计算机科学 2023-02-28 Yubo Zhang , Feiyang Niu , Qing Ping , Govind Thattai

This paper considers the decentralized convex optimization problem, which has a wide range of applications in large-scale machine learning, sensor networks, and control theory. We propose novel algorithms that achieve optimal computation…

机器学习 · 计算机科学 2023-10-11 Haishan Ye , Luo Luo , Ziang Zhou , Tong Zhang

Multilingual Neural Machine Translation (NMT) enables one model to serve all translation directions, including ones that are unseen during training, i.e. zero-shot translation. Despite being theoretically attractive, current models often…

计算与语言 · 计算机科学 2022-01-20 Yilin Yang , Akiko Eriguchi , Alexandre Muzio , Prasad Tadepalli , Stefan Lee , Hany Hassan

We build a theoretical framework for designing and understanding practical meta-learning methods that integrates sophisticated formalizations of task-similarity with the extensive literature on online convex optimization and sequential…

机器学习 · 计算机科学 2019-12-10 Mikhail Khodak , Maria-Florina Balcan , Ameet Talwalkar

Gradient-based meta-learning methods leverage gradient descent to learn the commonalities among various tasks. While previous such methods have been successful in meta-learning tasks, they resort to simple gradient descent during…

机器学习 · 统计学 2018-06-15 Yoonho Lee , Seungjin Choi

Bilevel optimization problems are receiving increasing attention in machine learning as they provide a natural framework for hyperparameter optimization and meta-learning. A key step to tackle these problems is the efficient computation of…

机器学习 · 统计学 2025-05-20 Riccardo Grazzi , Massimiliano Pontil , Saverio Salzo

Many engineering problems have multiple objectives, and the overall aim is to optimize a non-linear function of these objectives. In this paper, we formulate the problem of maximizing a non-linear concave function of multiple long-term…

机器学习 · 计算机科学 2025-09-23 Qinbo Bai , Mridul Agarwal , Vaneet Aggarwal

In this work, multi-variable derivative-free optimization algorithms for unconstrained optimization problems are developed. A novel procedure for approximating the gradient of multi-variable objective functions based on non-commutative maps…

最优化与控制 · 数学 2021-11-17 Jan Feiling , Mohamed-Ali Belabbas , Christian Ebenbauer

A major obstacle to achieving global convergence in distributed and federated learning is the misalignment of gradients across clients, or mini-batches due to heterogeneity and stochasticity of the distributed data. In this work, we show…

机器学习 · 计算机科学 2021-12-14 Yatin Dandi , Luis Barba , Martin Jaggi

Consider the problem of training robustly capable agents. One approach is to generate a diverse collection of agent polices. Training can then be viewed as a quality diversity (QD) optimization problem, where we search for a collection of…

机器学习 · 计算机科学 2022-04-18 Bryon Tjanaka , Matthew C. Fontaine , Julian Togelius , Stefanos Nikolaidis

In many applications of supervised learning, multiple classification or regression outputs have to be predicted jointly. We consider several extensions of gradient boosting to address such problems. We first propose a straightforward…

机器学习 · 统计学 2019-05-21 Arnaud Joly , Louis Wehenkel , Pierre Geurts