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Deep learning networks are typically trained by Stochastic Gradient Descent (SGD) methods that iteratively improve the model parameters by estimating a gradient on a very small fraction of the training data. A major roadblock faced when…

Machine Learning · Computer Science 2020-06-11 Tao Lin , Lingjing Kong , Sebastian U. Stich , Martin Jaggi

Decision Trees (DTs) are commonly used for many machine learning tasks due to their high degree of interpretability. However, learning a DT from data is a difficult optimization problem, as it is non-convex and non-differentiable.…

Machine Learning · Computer Science 2024-08-20 Sascha Marton , Stefan Lüdtke , Christian Bartelt , Heiner Stuckenschmidt

Decentralized methods to solve finite-sum minimization problems are important in many signal processing and machine learning tasks where the data is distributed over a network of nodes and raw data sharing is not permitted due to privacy…

Machine Learning · Computer Science 2020-02-14 Ran Xin , Soummya Kar , Usman A. Khan

Training large machine learning models requires a distributed computing approach, with communication of the model updates being the bottleneck. For this reason, several methods based on the compression (e.g., sparsification and/or…

Machine Learning · Computer Science 2023-12-29 Konstantin Mishchenko , Eduard Gorbunov , Martin Takáč , Peter Richtárik

Increasing the mini-batch size for stochastic gradient descent offers significant opportunities to reduce wall-clock training time, but there are a variety of theoretical and systems challenges that impede the widespread success of this…

The rapid evolution of deep learning and large language models has led to an exponential growth in the demand for training data, prompting the development of Dataset Distillation methods to address the challenges of managing large datasets.…

Machine Learning · Computer Science 2024-07-01 Wenliang Zhong , Haoyu Tang , Qinghai Zheng , Mingzhu Xu , Yupeng Hu , Liqiang Nie

We introduce Gradient Agreement Filtering (GAF) to improve on gradient averaging in distributed deep learning optimization. Traditional distributed data-parallel stochastic gradient descent involves averaging gradients of microbatches to…

Machine Learning · Computer Science 2024-12-31 Francois Chaubard , Duncan Eddy , Mykel J. Kochenderfer

The remarkable practical success of deep learning has revealed some major surprises from a theoretical perspective. In particular, simple gradient methods easily find near-optimal solutions to non-convex optimization problems, and despite…

Statistics Theory · Mathematics 2021-03-17 Peter L. Bartlett , Andrea Montanari , Alexander Rakhlin

Second-order optimizers hold intriguing potential for deep learning, but suffer from increased cost and sensitivity to the non-convexity of the loss surface as compared to gradient-based approaches. We introduce a coordinate descent method…

Machine Learning · Computer Science 2020-06-19 Ravi G. Patel , Nathaniel A. Trask , Mamikon A. Gulian , Eric C. Cyr

Multilingual models jointly pretrained on multiple languages have achieved remarkable performance on various multilingual downstream tasks. Moreover, models finetuned on a single monolingual downstream task have shown to generalize to…

Computation and Language · Computer Science 2022-03-01 Seanie Lee , Hae Beom Lee , Juho Lee , Sung Ju Hwang

Stochastic gradient descent updates parameters with summation gradient computed from a random data batch. This summation will lead to unbalanced training process if the data we obtained is unbalanced. To address this issue, this paper takes…

Machine Learning · Computer Science 2019-05-22 Tao Yi , Xingxuan Wang

Large-scale distributed optimization is of great importance in various applications. For data-parallel based distributed learning, the inter-node gradient communication often becomes the performance bottleneck. In this paper, we propose the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-22 Jiaxiang Wu , Weidong Huang , Junzhou Huang , Tong Zhang

Stochastic gradient descent (SGD) has achieved great success in training deep neural network, where the gradient is computed through back-propagation. However, the back-propagated values of different layers vary dramatically. This…

Machine Learning · Statistics 2018-02-28 Huishuai Zhang , Wei Chen , Tie-Yan Liu

Score matching has become a central training objective in modern generative modeling, particularly in diffusion models, where it is used to learn high-dimensional data distributions through the estimation of score functions. Despite its…

Machine Learning · Computer Science 2025-12-01 Yiran Zhang , Weihang Xu , Mo Zhou , Maryam Fazel , Simon Shaolei Du

Adaptive gradient methods are typically used for training over-parameterized models. To better understand their behaviour, we study a simplistic setting -- smooth, convex losses with models over-parameterized enough to interpolate the data.…

Machine Learning · Computer Science 2021-02-22 Sharan Vaswani , Issam Laradji , Frederik Kunstner , Si Yi Meng , Mark Schmidt , Simon Lacoste-Julien

Bilevel optimization has been developed for many machine learning tasks with large-scale and high-dimensional data. This paper considers a constrained bilevel optimization problem, where the lower-level optimization problem is convex with…

Machine Learning · Computer Science 2023-08-22 Siyuan Xu , Minghui Zhu

Deep neural networks are a promising approach towards multi-task learning because of their capability to leverage knowledge across domains and learn general purpose representations. Nevertheless, they can fail to live up to these promises…

Machine Learning · Computer Science 2019-12-17 Mihai Suteu , Yike Guo

We develop a gradient-like algorithm to minimize a sum of peer objective functions based on coordination through a peer interconnection network. The coordination admits two stages: the first is to constitute a gradient, possibly with…

Optimization and Control · Mathematics 2023-07-19 Sandushan Ranaweera , Chathuranga Weeraddana , Prathapasinghe Dharmawansa , Carlo Fischione

While dataset condensation effectively enhances training efficiency, its application in on-device scenarios brings unique challenges. 1) Due to the fluctuating computational resources of these devices, there's a demand for a flexible…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Yang He , Lingao Xiao , Joey Tianyi Zhou , Ivor Tsang

Machine learning systems typically assume that the distributions of training and test sets match closely. However, a critical requirement of such systems in the real world is their ability to generalize to unseen domains. Here, we propose…

Machine Learning · Computer Science 2021-07-15 Yuge Shi , Jeffrey Seely , Philip H. S. Torr , N. Siddharth , Awni Hannun , Nicolas Usunier , Gabriel Synnaeve