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Deep neural networks are powerful tools for solving nonlinear problems in science and engineering, but training highly accurate models becomes challenging as problem complexity increases. Non-convex optimization and sensitivity to…

机器学习 · 计算机科学 2026-04-20 Ethan Mulle , Wei Kang , Qi Gong

Recent methods for neural surface representation and rendering, for example NeuS, have demonstrated the remarkably high-quality reconstruction of static scenes. However, the training of NeuS takes an extremely long time (8 hours), which…

计算机视觉与模式识别 · 计算机科学 2023-11-20 Yiming Wang , Qin Han , Marc Habermann , Kostas Daniilidis , Christian Theobalt , Lingjie Liu

We investigate iterative methods with randomized preconditioners for solving overdetermined least-squares problems, where the preconditioners are based on a random embedding of the data matrix. We consider two distinct approaches: the…

数值分析 · 数学 2021-04-15 Jonathan Lacotte , Mert Pilanci

Second-order optimization methods, such as cubic regularized Newton methods, are known for their rapid convergence rates; nevertheless, they become impractical in high-dimensional problems due to their substantial memory requirements and…

最优化与控制 · 数学 2024-01-09 Ruichen Jiang , Parameswaran Raman , Shoham Sabach , Aryan Mokhtari , Mingyi Hong , Volkan Cevher

Network pruning is a widely used technique to reduce computation cost and model size for deep neural networks. However, the typical three-stage pipeline significantly increases the overall training time. In this paper, we develop a…

神经与进化计算 · 计算机科学 2023-04-11 Shanglin Zhou , Mikhail A. Bragin , Lynn Pepin , Deniz Gurevin , Fei Miao , Caiwen Ding

In recent years, deep learning has made remarkable progress in a wide range of domains, with a particularly notable impact on natural language processing tasks. One of the challenges associated with training deep neural networks in the…

机器学习 · 计算机科学 2024-06-27 Hanna Mazzawi , Xavi Gonzalvo , Michael Wunder , Sammy Jerome , Benoit Dherin

Nonlinear conjugate gradient (NLCG) based optimizers have shown superior loss convergence properties compared to gradient descent based optimizers for traditional optimization problems. However, in Deep Neural Network (DNN) training, the…

机器学习 · 计算机科学 2019-11-21 Saurabh Adya , Vinay Palakkode , Oncel Tuzel

Incomplete LU factorizations of sparse matrices are widely used as preconditioners in Krylov subspace methods to speed up solving linear systems. Unfortunately, computing the preconditioner itself can be time-consuming and sensitive to…

机器学习 · 计算机科学 2024-12-12 Paul Häusner , Aleix Nieto Juscafresa , Jens Sjölund

We present a deep learning-based iterative approach to solve the discrete heterogeneous Helmholtz equation for high wavenumbers. Combining classical iterative multigrid solvers and convolutional neural networks (CNNs) via preconditioning,…

机器学习 · 计算机科学 2024-06-07 Bar Lerer , Ido Ben-Yair , Eran Treister

An algorithm for unconstrained non-convex optimization is described, which does not evaluate the objective function and in which minimization is carried out, at each iteration, within a randomly selected subspace. It is shown that this…

最优化与控制 · 数学 2025-01-31 S. Bellavia , S. Gratton , B. Morini , Ph. L. Toint

When deploying deep learning models to a device, it is traditionally assumed that available computational resources (compute, memory, and power) remain static. However, real-world computing systems do not always provide stable resource…

机器学习 · 计算机科学 2021-10-11 Elvis Nunez , Maxwell Horton , Anish Prabhu , Anurag Ranjan , Ali Farhadi , Mohammad Rastegari

This paper presents a unified framework for codifying and automating optimization strategies to efficiently deploy deep neural networks (DNNs) on resource-constrained hardware, such as FPGAs, while maintaining high performance, accuracy,…

硬件体系结构 · 计算机科学 2026-02-11 Zhiqiang Que , Jose G. F. Coutinho , Ce Guo , Hongxiang Fan , Wayne Luk

This paper proposes a simple and effective algorithm for incorporating lexical constraints in neural machine translation. Previous work either required re-training existing models with the lexical constraints or incorporating them during…

计算与语言 · 计算机科学 2020-04-28 Raymond Hendy Susanto , Shamil Chollampatt , Liling Tan

We present novel techniques to accelerate the convergence of Deep Learning algorithms by conducting low overhead removal of redundant neurons -- apoptosis of neurons -- which do not contribute to model learning, during the training phase…

神经与进化计算 · 计算机科学 2016-10-05 Charles Siegel , Jeff Daily , Abhinav Vishnu

Existing fast algorithms for bilateral and nonlocal means filtering mostly work with grayscale images. They cannot easily be extended to high-dimensional data such as color and hyperspectral images, patch-based data, flow-fields, etc. In…

计算机视觉与模式识别 · 计算机科学 2018-11-07 Pravin Nair , Kunal. N. Chaudhury

Second-order methods are provably faster than first-order methods, and their efficient implementations for large-scale optimization problems have attracted significant attention. Yet, optimization problems in ML often have nonsmooth…

最优化与控制 · 数学 2026-02-10 Amal Alphonse , Pavel Dvurechensky , Clemens Sirotenko

We propose a method for efficiently incorporating constraints into a stochastic gradient Langevin framework for the training of deep neural networks. Constraints allow direct control of the parameter space of the model. Appropriately…

机器学习 · 计算机科学 2021-06-22 Benedict Leimkuhler , Timothée Pouchon , Tiffany Vlaar , Amos Storkey

First-order optimization solvers, such as the Fast Gradient Method, are increasingly being used to solve Model Predictive Control problems in resource-constrained environments. Unfortunately, the convergence rate of these solvers is…

最优化与控制 · 数学 2022-04-07 Ian McInerney , Eric C. Kerrigan , George A. Constantinides

Humans can learn several tasks in succession with minimal mutual interference but perform more poorly when trained on multiple tasks at once. The opposite is true for standard deep neural networks. Here, we propose novel computational…

神经元与认知 · 定量生物学 2022-09-07 Timo Flesch , David G. Nagy , Andrew Saxe , Christopher Summerfield

Over recent years, an increasing amount of compute and data has been poured into training large language models (LLMs), usually by doing one-pass learning on as many tokens as possible randomly selected from large-scale web corpora. While…

计算与语言 · 计算机科学 2023-08-24 Kushal Tirumala , Daniel Simig , Armen Aghajanyan , Ari S. Morcos