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Second order information is useful in many ways in smooth optimization problems, including for the design of step size rules and descent directions, or the analysis of the local properties of the objective functional. However, the…

最优化与控制 · 数学 2025-02-06 Marcus Carlsson , Viktor Nikitin , Erik Troedsson , Herwig Wendt

Despite superior performance on many computer vision tasks, deep convolution neural networks are well known to be compressed on devices that have resource constraints. Most existing network pruning methods require laborious human efforts…

计算机视觉与模式识别 · 计算机科学 2025-05-22 Xiawu Zheng , Yuexiao Ma , Teng Xi , Gang Zhang , Errui Ding , Yuchao Li , Jie Chen , Yonghong Tian , Rongrong Ji

This paper addresses second-order stochastic optimization for estimating the minimizer of a convex function written as an expectation. A direct recursive estimation technique for the inverse Hessian matrix using a Robbins-Monro procedure is…

最优化与控制 · 数学 2025-03-11 Antoine Godichon-Baggioni , Wei Lu , Bruno Portier

Network compression has been widely studied since it is able to reduce the memory and computation cost during inference. However, previous methods seldom deal with complicated structures like residual connections, group/depth-wise…

计算机视觉与模式识别 · 计算机科学 2021-08-03 Liyang Liu , Shilong Zhang , Zhanghui Kuang , Aojun Zhou , Jing-Hao Xue , Xinjiang Wang , Yimin Chen , Wenming Yang , Qingmin Liao , Wayne Zhang

Pruning is an effective method to reduce the memory footprint and FLOPs associated with neural network models. However, existing structured-pruning methods often result in significant accuracy degradation for moderate pruning levels. To…

计算机视觉与模式识别 · 计算机科学 2021-06-23 Shixing Yu , Zhewei Yao , Amir Gholami , Zhen Dong , Sehoon Kim , Michael W Mahoney , Kurt Keutzer

In this paper, we present a novel nonlinear programming-based approach to fine-tune pre-trained neural networks to improve robustness against adversarial attacks while maintaining high accuracy on clean data. Our method introduces…

机器学习 · 计算机科学 2024-10-28 Shudian Zhao , Jan Kronqvist

Pruning is an efficient model compression technique to remove redundancy in the connectivity of deep neural networks (DNNs). Computations using sparse matrices obtained by pruning parameters, however, exhibit vastly different parallelism…

机器学习 · 计算机科学 2019-05-15 Dongsoo Lee , Se Jung Kwon , Byeongwook Kim , Parichay Kapoor , Gu-Yeon Wei

Recently, Stochastic Variational Inference (SVI) has been increasingly attractive thanks to its ability to find good posterior approximations of probabilistic models. It optimizes the variational objective with stochastic optimization,…

机器学习 · 计算机科学 2022-03-16 Minta Liu , Suliang Bu

In this paper, we try to uncover the second-order essence of several first-order optimization methods. For Nesterov Accelerated Gradient, we rigorously prove that the algorithm makes use of the difference between past and current gradients,…

机器学习 · 计算机科学 2019-12-23 Yuzheng Hu , Licong Lin , Shange Tang

Training deep neural networks consumes increasing computational resource shares in many compute centers. Often, a brute force approach to obtain hyperparameter values is employed. Our goal is (1) to enhance this by enabling second-order…

机器学习 · 计算机科学 2022-08-04 Severin Reiz , Tobias Neckel , Hans-Joachim Bungartz

Large scale optimization problems are ubiquitous in machine learning and data analysis and there is a plethora of algorithms for solving such problems. Many of these algorithms employ sub-sampling, as a way to either speed up the…

最优化与控制 · 数学 2016-02-29 Farbod Roosta-Khorasani , Michael W. Mahoney

Network compression techniques have become increasingly important in recent years because the loads of Deep Neural Networks (DNNs) are heavy for edge devices in real-world applications. While many methods compress neural network parameters,…

机器学习 · 计算机科学 2025-07-31 Kuan-Ting Tu , Po-Hsien Yu , Yu-Syuan Tseng , Shao-Yi Chien

Persistence diagrams provide stable, interpretable summaries of geometric and topological structure and are useful for simulation-based inference when low-order statistics miss key information. Yet persistence-based pipelines require…

Pruning neural networks has regained interest in recent years as a means to compress state-of-the-art deep neural networks and enable their deployment on resource-constrained devices. In this paper, we propose a robust compressive learning…

机器学习 · 计算机科学 2020-06-05 George Retsinas , Athena Elafrou , Georgios Goumas , Petros Maragos

Regularization has long been utilized to learn sparsity in deep neural network pruning. However, its role is mainly explored in the small penalty strength regime. In this work, we extend its application to a new scenario where the…

计算机视觉与模式识别 · 计算机科学 2021-04-07 Huan Wang , Can Qin , Yulun Zhang , Yun Fu

Natural Gradient Descent, a second-degree optimization method motivated by the information geometry, makes use of the Fisher Information Matrix instead of the Hessian which is typically used. However, in many cases, the Fisher Information…

机器学习 · 计算机科学 2023-03-10 Rajesh Shrestha

Deep neural network models, though very powerful and highly successful, are computationally expensive in terms of space and time. Recently, there have been a number of attempts on binarizing the network weights and activations. This greatly…

神经与进化计算 · 计算机科学 2018-05-11 Lu Hou , Quanming Yao , James T. Kwok

Lossy compression introduces complex compression artifacts, particularly the blocking artifacts, ringing effects and blurring. Existing algorithms either focus on removing blocking artifacts and produce blurred output, or restores sharpened…

计算机视觉与模式识别 · 计算机科学 2015-04-28 Chao Dong , Yubin Deng , Chen Change Loy , Xiaoou Tang

Model compression techniques reduce the computational load and memory consumption of deep neural networks. After the compression operation, e.g. parameter pruning, the model is normally fine-tuned on the original training dataset to recover…

计算机视觉与模式识别 · 计算机科学 2023-06-23 Adrian Holzbock , Achyut Hegde , Klaus Dietmayer , Vasileios Belagiannis

Deep neural networks (DNNs) frequently contain far more weights, represented at a higher precision, than are required for the specific task which they are trained to perform. Consequently, they can often be compressed using techniques such…

机器学习 · 计算机科学 2020-12-03 Vinu Joseph , Saurav Muralidharan , Animesh Garg , Michael Garland , Ganesh Gopalakrishnan