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This work proposes a universal and adaptive second-order method for minimizing second-order smooth, convex functions. Our algorithm achieves $O(\sigma / \sqrt{T})$ convergence when the oracle feedback is stochastic with variance $\sigma^2$,…

Optimization and Control · Mathematics 2022-12-13 Kimon Antonakopoulos , Ali Kavis , Volkan Cevher

In this paper, we propose a quasi-Newton method for solving smooth and monotone nonlinear equations, including unconstrained minimization and minimax optimization as special cases. For the strongly monotone setting, we establish two global…

Optimization and Control · Mathematics 2024-10-04 Ruichen Jiang , Aryan Mokhtari

Deep neural networks (DNNs) are used in many applications, but their large size and high computational cost make them hard to run on devices with limited resources. Two widely used techniques to address this challenge are weight…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 Dan Liu , Nikita Dvornik , Xue Liu

This paper addresses the study of a new class of nonsmooth optimization problems, where the objective is represented as a difference of two generally nonconvex functions. We propose and develop a novel Newton-type algorithm to solving such…

Optimization and Control · Mathematics 2023-01-10 Francisco J. Aragón-Artacho , Boris S. Mordukhovich , Pedro Pérez-Aros

Fine-tuning pre-trained models has been ubiquitously proven to be effective in a wide range of NLP tasks. However, fine-tuning the whole model is parameter inefficient as it always yields an entirely new model for each task. Currently, many…

Computation and Language · Computer Science 2022-11-29 Zihao Fu , Haoran Yang , Anthony Man-Cho So , Wai Lam , Lidong Bing , Nigel Collier

This paper introduces a new stochastic optimization method based on the regularized Fisher information matrix (FIM), named SOFIM, which can efficiently utilize the FIM to approximate the Hessian matrix for finding Newton's gradient update…

Machine Learning · Computer Science 2024-05-02 Mrinmay Sen , A. K. Qin , Gayathri C , Raghu Kishore N , Yen-Wei Chen , Balasubramanian Raman

Deep neural networks achieve state-of-the-art performance in a variety of tasks by extracting a rich set of features from unstructured data, however this performance is closely tied to model size. Modern techniques for inducing sparsity and…

Machine Learning · Computer Science 2021-03-02 Skyler Seto , Martin T. Wells , Wenyu Zhang

Newton-type methods are popular in federated learning due to their fast convergence. Still, they suffer from two main issues, namely: low communication efficiency and low privacy due to the requirement of sending Hessian information from…

Machine Learning · Computer Science 2022-06-20 Anis Elgabli , Chaouki Ben Issaid , Amrit S. Bedi , Ketan Rajawat , Mehdi Bennis , Vaneet Aggarwal

Neural network compression has gained increasing attention in recent years, particularly in computer vision applications, where the need for model reduction is crucial for overcoming deployment constraints. Pruning is a widely used…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Baptiste Bauvin , Loïc Baret , Ola Ahmad

Neural networks are easier to optimise when they have many more weights than are required for modelling the mapping from inputs to outputs. This suggests a two-stage learning procedure that first learns a large net and then prunes away…

Machine Learning · Computer Science 2019-09-10 Aidan N. Gomez , Ivan Zhang , Siddhartha Rao Kamalakara , Divyam Madaan , Kevin Swersky , Yarin Gal , Geoffrey E. Hinton

A Newton-type active set algorithm for large-scale minimization subject to polyhedral constraints is proposed. The algorithm consists of a gradient projection step, a second-order Newton-type step in the null space of the constraint matrix,…

Optimization and Control · Mathematics 2021-01-12 William W. Hager , Davoud Ataee Tarzanagh

Optical neural networks (ONNs) have demonstrated record-breaking potential in high-performance neuromorphic computing due to their ultra-high execution speed and low energy consumption. However, current learning protocols fail to provide…

Emerging Technologies · Computer Science 2021-09-07 Jiaqi Gu , Chenghao Feng , Zheng Zhao , Zhoufeng Ying , Ray T. Chen , David Z. Pan

We study stochastic Cubic Newton methods for solving general possibly non-convex minimization problems. We propose a new framework, which we call the helper framework, that provides a unified view of the stochastic and variance-reduced…

Optimization and Control · Mathematics 2025-12-19 El Mahdi Chayti , Nikita Doikov , Martin Jaggi

Parameter-efficient fine-tuning (PEFT) is an effective method for adapting pre-trained vision models to downstream tasks by tuning a small subset of parameters. Among PEFT methods, sparse tuning achieves superior performance by only…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Shufan Shen , Junshu Sun , Xiangyang Ji , Qingming Huang , Shuhui Wang

Network pruning is aimed at imposing sparsity in a neural network architecture by increasing the portion of zero-valued weights for reducing its size regarding energy-efficiency consideration and increasing evaluation speed. In most of the…

Machine Learning · Computer Science 2018-07-17 Amirsina Torfi , Rouzbeh A. Shirvani , Sobhan Soleymani , Nasser M. Nasrabadi

A central challenge to many fields of science and engineering involves minimizing non-convex error functions over continuous, high dimensional spaces. Gradient descent or quasi-Newton methods are almost ubiquitously used to perform such…

Machine Learning · Computer Science 2014-06-11 Yann Dauphin , Razvan Pascanu , Caglar Gulcehre , Kyunghyun Cho , Surya Ganguli , Yoshua Bengio

Compression of convolutional neural network models has recently been dominated by pruning approaches. A class of previous works focuses solely on pruning the unimportant filters to achieve network compression. Another important direction is…

Computer Vision and Pattern Recognition · Computer Science 2022-10-17 Tariq M. Khan , Syed S. Naqvi , Antonio Robles-Kelly , Erik Meijering

We present a new approach and a novel architecture, termed WSNet, for learning compact and efficient deep neural networks. Existing approaches conventionally learn full model parameters independently and then compress them via ad hoc…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Xiaojie Jin , Yingzhen Yang , Ning Xu , Jianchao Yang , Nebojsa Jojic , Jiashi Feng , Shuicheng Yan

Model compression has emerged as an important area of research for deploying deep learning models on Internet-of-Things (IoT). However, for extremely memory-constrained scenarios, even the compressed models cannot fit within the memory of a…

Machine Learning · Statistics 2019-07-30 Kartikeya Bhardwaj , Chingyi Lin , Anderson Sartor , Radu Marculescu

In mathematical optimization, second-order Newton's methods generally converge faster than first-order methods, but they require the inverse of the Hessian, hence are computationally expensive. However, we discover that on sparse graphs,…

Machine Learning · Computer Science 2022-05-30 Nima Dehmamy , Csaba Both , Jianzhi Long , Rose Yu