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The goal of this tutorial is to introduce key models, algorithms, and open questions related to the use of optimization methods for solving problems arising in machine learning. It is written with an INFORMS audience in mind, specifically…

机器学习 · 统计学 2017-07-03 Frank E. Curtis , Katya Scheinberg

Deep neural networks (DNNs), are widely used in many industries such as image recognition, supply chain, medical diagnosis, and autonomous driving. However, prior work has shown the high accuracy of a DNN model does not imply high…

机器学习 · 计算机科学 2022-11-28 Guanqin Zhang , Jiankun Sun , Feng Xu , H. M. N. Dilum Bandara , Shiping Chen , Yulei Sui , Tim Menzies

While first-order methods are popular for solving optimization problems that arise in large-scale deep learning problems, they come with some acute deficiencies. To diminish such shortcomings, there has been recent interest in applying…

机器学习 · 计算机科学 2023-10-05 Mahsa Yousefi , Angeles Martinez

(Stochastic) bilevel optimization is a frequently encountered problem in machine learning with a wide range of applications such as meta-learning, hyper-parameter optimization, and reinforcement learning. Most of the existing studies on…

机器学习 · 计算机科学 2023-03-16 Meng Ding , Mingxi Lei , Yunwen Lei , Di Wang , Jinhui Xu

We examine the role of memorization in deep learning, drawing connections to capacity, generalization, and adversarial robustness. While deep networks are capable of memorizing noise data, our results suggest that they tend to prioritize…

Mini-batch gradient descent based methods are the de facto algorithms for training neural network architectures today. We introduce a mini-batch selection strategy based on submodular function maximization. Our novel submodular formulation…

机器学习 · 计算机科学 2019-06-21 K J Joseph , Vamshi Teja R , Krishnakant Singh , Vineeth N Balasubramanian

Progress in deep learning is slowed by the days or weeks it takes to train large models. The natural solution of using more hardware is limited by diminishing returns, and leads to inefficient use of additional resources. In this paper, we…

机器学习 · 计算机科学 2017-12-12 Shankar Krishnan , Ying Xiao , Rif A. Saurous

It is well-known that deep neural networks (DNNs) have shown remarkable success in many fields. However, when adding an imperceptible magnitude perturbation on the model input, the model performance might get rapid decrease. To address this…

机器学习 · 计算机科学 2022-01-04 Hao Yang , Min Wang , Zhengfei Yu , Yun Zhou

A significant advance in accelerating neural network training has been the development of normalization methods, permitting the training of deep models both faster and with better accuracy. These advances come with practical challenges: for…

机器学习 · 计算机科学 2019-03-05 Jasmine Collins , Johannes Balle , Jonathon Shlens

Optimizing smooth convex functions in stochastic settings, where only noisy estimates of gradients and Hessians are available, is a fundamental problem in optimization. While first-order methods possess a low per-iteration cost, their…

统计理论 · 数学 2026-02-06 Antoine Godichon-Baggioni , Bruno Portier , Guillaume Sallé

Though many compilation and runtime systems have been developed for DNNs in recent years, the focus has largely been on static DNNs. Dynamic DNNs, where tensor shapes and sizes and even the set of operators used are dependent upon the input…

机器学习 · 计算机科学 2024-03-04 Wei Niu , Gagan Agrawal , Bin Ren

Parameter updating is an important stage in parallelism-based distributed deep learning. Synchronous methods are widely used in distributed training the Deep Neural Networks (DNNs). To reduce the communication and synchronization overhead…

机器学习 · 计算机科学 2020-09-09 Qing Ye , Yuxuan Han , Yanan sun , JIancheng Lv

Batch Normalization (BN) is an important preprocessing step to many deep learning applications. Since it is a data-dependent process, for some homogeneous datasets it is a redundant or even a performance-degrading process. In this paper, we…

机器学习 · 计算机科学 2022-12-01 Wael Alsobhi , Tarik Alafif , Alaa Abdel-Hakim , Weiwei Zong

Deep Neural Networks (DNNs) often rely on very large datasets for training. Given the large size of such datasets, it is conceivable that they contain certain samples that either do not contribute or negatively impact the DNN's…

机器学习 · 计算机科学 2020-11-10 Kashyap Chitta , Jose M. Alvarez , Elmar Haussmann , Clement Farabet

In conventional deep learning, the number of neurons typically remains fixed during training. However, insights from biology suggest that the human hippocampus undergoes continuous neuron generation and pruning of neurons over the course of…

机器学习 · 计算机科学 2025-07-15 Taigo Sakai , Kazuhiro Hotta

Batch normalization (BN) is a popular and ubiquitous method in deep learning that has been shown to decrease training time and improve generalization performance of neural networks. Despite its success, BN is not theoretically well…

机器学习 · 计算机科学 2022-01-21 Susanna Lange , Kyle Helfrich , Qiang Ye

Distributed machine learning is critical for training deep learning models on large datasets with numerous parameters. Current research primarily focuses on leveraging additional hardware resources and powerful computing units to accelerate…

分布式、并行与集群计算 · 计算机科学 2025-11-03 Kuan-Wei Lu , Ding-Yong Hong , Pangfeng Liu , Jan-Jan Wu

Optimization in Deep Learning is mainly dominated by first-order methods which are built around the central concept of backpropagation. Second-order optimization methods, which take into account the second-order derivatives are far less…

机器学习 · 计算机科学 2021-04-09 Fares B. Mehouachi , Chaouki Kasmi

Natural policy gradient methods are popular reinforcement learning methods that improve the stability of policy gradient methods by utilizing second-order approximations to precondition the gradient with the inverse of the…

机器学习 · 计算机科学 2022-10-12 Brennan Gebotys , Alexander Wong , David A. Clausi

Many key problems in machine learning and data science are routinely modeled as optimization problems and solved via optimization algorithms. With the increase of the volume of data and the size and complexity of the statistical models used…

最优化与控制 · 数学 2020-08-28 Filip Hanzely