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For almost 70 years, researchers have typically selected the width of neural networks' layers either manually or through automated hyperparameter tuning methods such as grid search and, more recently, neural architecture search. This paper…

机器学习 · 计算机科学 2026-02-17 Federico Errica , Henrik Christiansen , Viktor Zaverkin , Mathias Niepert , Francesco Alesiani

In the context of over-parameterization, there is a line of work demonstrating that randomly initialized (stochastic) gradient descent (GD) converges to a globally optimal solution at a linear convergence rate for the quadratic loss…

机器学习 · 计算机科学 2025-06-16 Xianliang Xu , Ting Du , Wang Kong , Bin Shan , Ye Li , Zhongyi Huang

The learning rate is perhaps the single most important parameter in the training of neural networks and, more broadly, in stochastic (nonconvex) optimization. Accordingly, there are numerous effective, but poorly understood, techniques for…

机器学习 · 计算机科学 2020-04-16 Bin Shi , Weijie J. Su , Michael I. Jordan

Machine unlearning in foundation models (e.g., language and vision transformers) is essential for privacy and safety; however, existing approaches are unstable and unreliable. A widely used strategy, the gradient difference method, applies…

机器学习 · 计算机科学 2026-03-19 Arpit Garg , Hemanth Saratchandran , Ravi Garg , Simon Lucey

Uncertainty estimation in large deep-learning models is a computationally challenging task, where it is difficult to form even a Gaussian approximation to the posterior distribution. In such situations, existing methods usually resort to a…

机器学习 · 计算机科学 2019-01-15 Aaron Mishkin , Frederik Kunstner , Didrik Nielsen , Mark Schmidt , Mohammad Emtiyaz Khan

With increasing scale in model and dataset size, the training of deep neural networks becomes a massive computational burden. One approach to speed up the training process is Selective Backprop. For this approach, we perform a forward pass…

机器学习 · 计算机科学 2023-12-11 Lukas Balles , Cedric Archambeau , Giovanni Zappella

We propose NovoGrad, an adaptive stochastic gradient descent method with layer-wise gradient normalization and decoupled weight decay. In our experiments on neural networks for image classification, speech recognition, machine translation,…

Various tasks in data science are modeled utilizing the variational regularization approach, where manually selecting regularization parameters presents a challenge. The difficulty gets exacerbated when employing regularizers involving a…

最优化与控制 · 数学 2025-07-08 Mohammad Sadegh Salehi , Subhadip Mukherjee , Lindon Roberts , Matthias J. Ehrhardt

The training of machine learning models is typically carried out using some form of gradient descent, often with great success. However, non-asymptotic analyses of first-order optimization algorithms typically employ a gradient smoothness…

机器学习 · 计算机科学 2024-06-18 Thomas Flynn

Enabling low precision implementations of deep learning models, without considerable performance degradation, is necessary in resource and latency constrained settings. Moreover, exploiting the differences in sensitivity to quantization…

机器学习 · 计算机科学 2022-10-28 Ignacio Hounie , Juan Elenter , Alejandro Ribeiro

Deep neural network (DNN) classifiers are often overconfident, producing miscalibrated class probabilities. In high-risk applications like healthcare, practitioners require $\textit{fully calibrated}$ probability predictions for…

机器学习 · 统计学 2022-12-09 Zhen Lin , Shubhendu Trivedi , Jimeng Sun

Learning rate is widely regarded as crucial for effective foundation model pretraining. Recent research explores and demonstrates the transferability of learning rate configurations across varying model and dataset sizes, etc. Nevertheless,…

机器学习 · 计算机科学 2025-12-23 Hongyuan Dong , Dingkang Yang , Xiao Liang , Chao Feng , Jiao Ran

We present a novel definition of the reinforcement learning state, actions and reward function that allows a deep Q-network (DQN) to learn to control an optimization hyperparameter. Using Q-learning with experience replay, we train two DQNs…

最优化与控制 · 数学 2016-06-21 Samantha Hansen

The use of low-bit quantization has emerged as an indispensable technique for enabling the efficient training of large-scale models. Despite its widespread empirical success, a rigorous theoretical understanding of its impact on learning…

机器学习 · 统计学 2026-02-17 Dechen Zhang , Junwei Su , Difan Zou

Machine learning training methods depend plentifully and intricately on hyperparameters, motivating automated strategies for their optimisation. Many existing algorithms restart training for each new hyperparameter choice, at considerable…

机器学习 · 计算机科学 2022-04-22 Ross M. Clarke , Elre T. Oldewage , José Miguel Hernández-Lobato

Tuning hyperparameters of learning algorithms is hard because gradients are usually unavailable. We compute exact gradients of cross-validation performance with respect to all hyperparameters by chaining derivatives backwards through the…

机器学习 · 统计学 2015-04-03 Dougal Maclaurin , David Duvenaud , Ryan P. Adams

We analyze recurrent neural networks with diagonal hidden-to-hidden weight matrices, trained with gradient descent in the supervised learning setting, and prove that gradient descent can achieve optimality \emph{without} massive…

机器学习 · 计算机科学 2024-10-11 Semih Cayci , Atilla Eryilmaz

Geometry-aware optimizers such as Newton and natural gradient can improve conditioning in deep learning, but scalable variants such as K-FAC, Shampoo, and related preconditioners usually impose structural approximations early, often…

机器学习 · 计算机科学 2026-05-07 Simon Dufort-Labbé , Pierre-Luc Bacon , Razvan Pascanu , Simon Lacoste-Julien , Aristide Baratin

Recovering high-quality images from undersampled measurements is critical for accelerated MRI reconstruction. Recently, various supervised deep learning-based MRI reconstruction methods have been developed. Despite the achieved promising…

图像与视频处理 · 电气工程与系统科学 2022-03-21 Weijian Huang , Cheng Li , Wenxin Fan , Yongjin Zhou , Qiegen Liu , Hairong Zheng , Shanshan Wang

Deep learning has enjoyed tremendous success in a variety of applications but its application to quantile regressions remains scarce. A major advantage of the deep learning approach is its flexibility to model complex data in a more…

统计理论 · 数学 2021-06-14 Qixian Zhong , Jane-Ling Wang