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When training neural networks with custom objectives, such as ranking losses and shortest-path losses, a common problem is that they are, per se, non-differentiable. A popular approach is to continuously relax the objectives to provide…

Machine Learning · Computer Science 2024-10-28 Felix Petersen , Christian Borgelt , Tobias Sutter , Hilde Kuehne , Oliver Deussen , Stefano Ermon

In this paper, we consider an unconstrained optimization model where the objective is a sum of a large number of possibly nonconvex functions, though overall the objective is assumed to be smooth and convex. Our bid to solving such model…

Optimization and Control · Mathematics 2022-03-15 Xi Chen , Bo Jiang , Tianyi Lin , Shuzhong Zhang

Differentially private (stochastic) gradient descent is the workhorse of DP private machine learning in both the convex and non-convex settings. Without privacy constraints, second-order methods, like Newton's method, converge faster than…

Machine Learning · Computer Science 2023-05-23 Arun Ganesh , Mahdi Haghifam , Thomas Steinke , Abhradeep Thakurta

We develop a fast, tractable technique called Net-Trim for simplifying a trained neural network. The method is a convex post-processing module, which prunes (sparsifies) a trained network layer by layer, while preserving the internal…

Machine Learning · Computer Science 2019-02-27 Alireza Aghasi , Afshin Abdi , Justin Romberg

Second-order methods are emerging as promising alternatives to standard first-order optimizers such as gradient descent and ADAM for training neural networks. Though the advantages of including curvature information in computing…

Machine Learning · Computer Science 2025-10-15 Conor Rowan

In this paper, we consider stochastic second-order methods for minimizing a finite summation of nonconvex functions. One important key is to find an ingenious but cheap scheme to incorporate local curvature information. Since the true…

Optimization and Control · Mathematics 2021-03-26 Minghan Yang , Dong Xu , Hongyu Chen , Zaiwen Wen , Mengyun Chen

Deep Learning models have become the dominant approach in several areas due to their high performance. Unfortunately, the size and hence computational requirements of operating such models can be considerably high. Therefore, this…

Computer Vision and Pattern Recognition · Computer Science 2019-12-04 Abdullah Salama , Oleksiy Ostapenko , Tassilo Klein , Moin Nabi

Neural network pruning is a highly effective technique aimed at reducing the computational and memory demands of large neural networks. In this research paper, we present a novel approach to pruning neural networks utilizing Bayesian…

Machine Learning · Statistics 2023-08-07 Sunil Mathew , Daniel B. Rowe

X-ray ptychography is a powerful and robust coherent imaging method providing access to the complex object and probe (illumination). Ptychography reconstruction is typically performed using first-order methods due to their computational…

Optics · Physics 2025-04-07 Marcus Carlsson , Herwig Wendt , Peter Cloetens , Viktor Nikitin

This paper presents a novel approach to neural network compression that addresses redundancy at both the filter and architectural levels through a unified framework grounded in information flow analysis. Building on the concept of tensor…

Machine Learning · Computer Science 2025-11-26 Aleksei Samarin , Artem Nazarenko , Egor Kotenko , Valentin Malykh , Alexander Savelev , Aleksei Toropov

Neural networks have achieved remarkable success in many cognitive tasks. However, when they are trained sequentially on multiple tasks without access to old data, their performance on early tasks tend to drop significantly. This problem is…

Machine Learning · Computer Science 2021-02-10 Dong Yin , Mehrdad Farajtabar , Ang Li , Nir Levine , Alex Mott

Pruning is a core technique for compressing neural networks to improve computational efficiency. This process is typically approached in two ways: one-shot pruning, which involves a single pass of training and pruning, and iterative…

Machine Learning · Computer Science 2025-08-20 Mikołaj Janusz , Tomasz Wojnar , Yawei Li , Luca Benini , Kamil Adamczewski

The essential difficulty of gradient-based bilevel optimization using implicit differentiation is to estimate the inverse Hessian vector product with respect to neural network parameters. This paper proposes to tackle this problem by the…

Machine Learning · Computer Science 2023-02-21 Ryuichiro Hataya , Makoto Yamada

By removing parameters from deep neural networks, unstructured pruning methods aim at cutting down memory footprint and computational cost, while maintaining prediction accuracy. In order to tackle this otherwise intractable problem, many…

Machine Learning · Computer Science 2020-06-23 César Laurent , Camille Ballas , Thomas George , Nicolas Ballas , Pascal Vincent

The existing convolutional neural network pruning algorithms can be divided into two categories: coarse-grained clipping and fine-grained clipping. This paper proposes a coarse and fine-grained automatic pruning algorithm, which can achieve…

Computer Vision and Pattern Recognition · Computer Science 2020-10-15 Jingfei Chang

Second-order optimization methods offer notable advantages in training deep neural networks by utilizing curvature information to achieve faster convergence. However, traditional second-order techniques are computationally prohibitive,…

Machine Learning · Computer Science 2024-10-04 James Vo

We analyze Newton's method with lazy Hessian updates for solving general possibly non-convex optimization problems. We propose to reuse a previously seen Hessian for several iterations while computing new gradients at each step of the…

Optimization and Control · Mathematics 2023-06-16 Nikita Doikov , El Mahdi Chayti , Martin Jaggi

This paper describes a channel-selection approach for simplifying deep neural networks. Specifically, we propose a new type of generic network layer, called pruning layer, to seamlessly augment a given pre-trained model for compression.…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Chih-Yao Chiu , Hwann-Tzong Chen , Tyng-Luh Liu

Training machine learning models on massive datasets incurs substantial computational costs. To alleviate such costs, there has been a sustained effort to develop data-efficient training methods that can carefully select subsets of the…

Machine Learning · Computer Science 2022-08-01 Omead Pooladzandi , David Davini , Baharan Mirzasoleiman

Neural network pruning with suitable retraining can yield networks with considerably fewer parameters than the original with comparable degrees of accuracy. Typical pruning methods require large, fully trained networks as a starting point…

Machine Learning · Computer Science 2020-10-13 Timothy Foldy-Porto , Yeshwanth Venkatesha , Priyadarshini Panda
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