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Deep neural networks (DNNs) are quantized for efficient inference on resource-constrained platforms. However, training deep learning models with low-precision weights and activations involves a demanding optimization task, which calls for…

机器学习 · 计算机科学 2021-05-25 Ziang Long , Penghang Yin , Jack Xin

Natural gradient descent (NGD) is a powerful optimization technique for machine learning, but the computational complexity of the inverse Fisher information matrix limits its application in training deep neural networks. To overcome this…

机器学习 · 计算机科学 2024-12-11 Weihua Liu , Said Boumaraf , Jianwu Li , Chaochao Lin , Xiabi Liu , Lijuan Niu , Naoufel Werghi

Fitting a function by using linear combinations of a large number $N$ of `simple' components is one of the most fruitful ideas in statistical learning. This idea lies at the core of a variety of methods, from two-layer neural networks to…

统计理论 · 数学 2019-08-20 Adel Javanmard , Marco Mondelli , Andrea Montanari

The incremental gradient method is a prominent algorithm for minimizing a finite sum of smooth convex functions, used in many contexts including large-scale data processing applications and distributed optimization over networks. It is a…

最优化与控制 · 数学 2022-02-09 Mert Gürbüzbalaban , Asuman Ozdaglar , Pablo Parrilo

Graph Neural Networks (GNNs) have achieved tremendous success in a variety of real-world applications by relying on the fixed graph data as input. However, the initial input graph might not be optimal in terms of specific downstream tasks,…

机器学习 · 计算机科学 2023-09-22 Beidi Zhao , Boxin Du , Zhe Xu , Liangyue Li , Hanghang Tong

Recent years have seen considerable progress in the continual training of deep neural networks, predominantly thanks to approaches that add replay or regularization terms to the loss function to approximate the joint loss over all tasks so…

机器学习 · 计算机科学 2024-11-01 Timm Hess , Tinne Tuytelaars , Gido M. van de Ven

A method named simple2complex for modeling and training deep neural networks is proposed. Simple2complex train deep neural networks by smoothly adding more and more layers to the shallow networks, as the learning procedure going on, the…

机器学习 · 计算机科学 2016-05-03 Ming Li

We study the learning performance of gradient descent when the empirical risk is weakly convex, namely, the smallest negative eigenvalue of the empirical risk's Hessian is bounded in magnitude. By showing that this eigenvalue can control…

机器学习 · 统计学 2021-06-02 Dominic Richards , Mike Rabbat

We present a novel network pruning algorithm called Dynamic Sparse Training that can jointly find the optimal network parameters and sparse network structure in a unified optimization process with trainable pruning thresholds. These…

机器学习 · 计算机科学 2020-05-15 Junjie Liu , Zhe Xu , Runbin Shi , Ray C. C. Cheung , Hayden K. H. So

In recent years, significant progress has been made on algorithms for learning optimal decision trees, primarily in the context of binary features. Extending these methods to continuous features remains substantially more challenging due to…

机器学习 · 计算机科学 2026-01-22 Harold Kiossou , Pierre Schaus , Siegfried Nijssen

The goal of a learner in standard online learning is to maintain an average loss close to the loss of the best-performing single function in some class. In many real-world problems, such as rating or ranking items, there is no single best…

机器学习 · 计算机科学 2013-03-18 Edward Moroshko , Koby Crammer

Continual learning aims to enable neural networks to acquire new knowledge on sequential tasks. However, the key challenge in such settings is to learn new tasks without catastrophically forgetting previously learned tasks. We propose the…

机器学习 · 计算机科学 2026-01-27 Ishir Garg , Neel Kolhe , Andy Peng , Rohan Gopalam

Many tasks in machine learning and signal processing can be solved by minimizing a convex function of a measure. This includes sparse spikes deconvolution or training a neural network with a single hidden layer. For these problems, we study…

最优化与控制 · 数学 2018-10-30 Lenaic Chizat , Francis Bach

We consider estimating a piecewise-constant image, or a gradient-sparse signal on a general graph, from noisy linear measurements. We propose and study an iterative algorithm to minimize a penalized least-squares objective, with a penalty…

机器学习 · 统计学 2019-05-16 Sheng Xu , Zhou Fan

In deep learning, it is common to use more network parameters than training points. In such scenarioof over-parameterization, there are usually multiple networks that achieve zero training error so that thetraining algorithm induces an…

机器学习 · 计算机科学 2023-08-22 Hung-Hsu Chou , Carsten Gieshoff , Johannes Maly , Holger Rauhut

Residual networks have shown great success and become indispensable in recent deep neural network models. In this work, we aim to re-investigate the training process of residual networks from a novel social psychology perspective of…

机器学习 · 计算机科学 2023-05-05 Peng Ye , Tong He , Shengji Tang , Baopu Li , Tao Chen , Lei Bai , Wanli Ouyang

Existing high-performance deep learning models require very intensive computing. For this reason, it is difficult to embed a deep learning model into a system with limited resources. In this paper, we propose the novel idea of the network…

机器学习 · 计算机科学 2019-02-13 Dae-Woong Jeong , Jaehun Kim , Youngseok Kim , Tae-Ho Kim , Myungsu Chae

Recent studies showed that the generalization of neural networks is correlated with the sharpness of the loss landscape, and flat minima suggests a better generalization ability than sharp minima. In this paper, we propose a novel method…

机器学习 · 计算机科学 2024-05-24 Yuyan Zhou , Ye Li , Lei Feng , Sheng-Jun Huang

This paper formulates a multitask optimization problem where agents in the network have individual objectives to meet, or individual parameter vectors to estimate, subject to a smoothness condition over the graph. The smoothness condition…

多智能体系统 · 计算机科学 2019-11-18 Roula Nassif , Stefan Vlaski , Cedric Richard , Ali H. Sayed

Learning a graph topology to reveal the underlying relationship between data entities plays an important role in various machine learning and data analysis tasks. Under the assumption that structured data vary smoothly over a graph, the…

机器学习 · 统计学 2023-08-23 Xingyue Pu , Tianyue Cao , Xiaoyun Zhang , Xiaowen Dong , Siheng Chen