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Proper regularization is critical for speeding up training, improving generalization performance, and learning compact models that are cost efficient. We propose and analyze regularized gradient descent algorithms for learning shallow…

机器学习 · 计算机科学 2018-06-08 Samet Oymak

Despite the growing availability of high-capacity computational platforms, implementation complexity still has been a great concern for the real-world deployment of neural networks. This concern is not exclusively due to the huge costs of…

机器学习 · 计算机科学 2023-12-19 Felipe Dennis de Resende Oliveira , Eduardo Luiz Ortiz Batista , Rui Seara

We introduce a novel stochastic regularization technique for deep neural networks, which decomposes a layer into multiple branches with different parameters and merges stochastically sampled combinations of the outputs from the branches…

机器学习 · 计算机科学 2019-10-04 Wonpyo Park , Paul Hongsuck Seo , Bohyung Han , Minsu Cho

The state-of-the-art online learning models generally conduct a single online gradient descent when a new sample arrives and thus suffer from suboptimal model weights. To this end, we introduce an online broad learning system framework with…

机器学习 · 计算机科学 2025-12-09 Chunyu Lei , Guang-Ze Chen , C. L. Philip Chen , Tong Zhang

With an increasing demand for training powers for deep learning algorithms and the rapid growth of computation resources in data centers, it is desirable to dynamically schedule different distributed deep learning tasks to maximize resource…

机器学习 · 计算机科学 2019-05-03 Haibin Lin , Hang Zhang , Yifei Ma , Tong He , Zhi Zhang , Sheng Zha , Mu Li

We study a sparse negative binomial regression (NBR) for count data by showing the non-asymptotic advantages of using the elastic-net estimator. Two types of oracle inequalities are derived for the NBR's elastic-net estimates by using the…

机器学习 · 统计学 2022-01-11 Huiming Zhang , Jinzhu Jia

Identifying algorithms for computational efficient unsupervised training of large language models is an important and active area of research. In this work, we develop and study a straightforward, dynamic always-sparse pre-training approach…

计算与语言 · 计算机科学 2021-08-16 Anastasia Dietrich , Frithjof Gressmann , Douglas Orr , Ivan Chelombiev , Daniel Justus , Carlo Luschi

Modern machine learning is trained by stochastic gradient descent (SGD), whose performance critically depends on how the learning rate (LR) is adjusted and decreased over time. Yet existing LR regimes may be intricate, or need to tune one…

机器学习 · 计算机科学 2025-08-20 Zhuang Yang

Sparse regularization techniques are well-established in machine learning, yet their application in neural networks remains challenging due to the non-differentiability of penalties like the $L_1$ norm, which is incompatible with stochastic…

机器学习 · 计算机科学 2025-02-10 Chris Kolb , Tobias Weber , Bernd Bischl , David Rügamer

High-dimensional regression often suffers from heavy-tailed noise and outliers, which can severely undermine the reliability of least-squares based methods. To improve robustness, we adopt a non-smooth Wilcoxon score based rank objective…

机器学习 · 统计学 2026-01-29 Meixia Lin , Meijiao Shi , Yunhai Xiao , Qian Zhang

Sparse optimization is a fundamental challenge in various practical applications. A popular approach to sparse optimization is $\ell_p$ regularization. However, it may encounter optimization instability due to the unbounded gradients when…

机器学习 · 计算机科学 2026-05-29 Huangyu Xu , Jingqin Yang , Qianqian Xu , Jiaye Teng

Modern deep neural networks are typically highly overparameterized. Pruning techniques are able to remove a significant fraction of network parameters with little loss in accuracy. Recently, techniques based on dynamic reallocation of…

机器学习 · 计算机科学 2019-05-14 Hesham Mostafa , Xin Wang

Deep neural networks exploiting millions of parameters are nowadays the norm in deep learning applications. This is a potential issue because of the great amount of computational resources needed for training, and of the possible loss of…

计算与语言 · 计算机科学 2022-10-31 Giovanni Bonetta , Matteo Ribero , Rossella Cancelliere

The effects of several nonlinear regularization techniques are discussed in the framework of 3D seismic tomography. Traditional, linear, $\ell_2$ penalties are compared to so-called sparsity promoting $\ell_1$ and $\ell_0$ penalties, and a…

地球物理 · 物理学 2010-08-19 I. Loris , H. Douma , G. Nolet , I. Daubechies , C. Regone

Training deep reinforcement learning (DRL) models usually requires high computation costs. Therefore, compressing DRL models possesses immense potential for training acceleration and model deployment. However, existing methods that generate…

机器学习 · 计算机科学 2023-03-09 Yiqin Tan , Pihe Hu , Ling Pan , Jiatai Huang , Longbo Huang

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

Sparse logistic regression, as an effective tool of classification, has been developed tremendously in recent two decades, from its origination the $\ell_1$-regularized version to the sparsity constrained models. This paper is carried out…

最优化与控制 · 数学 2021-11-23 Rui Wang , Naihua Xiu , Shenglong Zhou

Regularization techniques such as the lasso (Tibshirani 1996) and elastic net (Zou and Hastie 2005) can be used to improve regression model coefficient estimation and prediction accuracy, as well as to perform variable selection. Ordinal…

统计计算 · 统计学 2022-09-05 Michael J. Wurm , Paul J. Rathouz , Bret M. Hanlon

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…

Learning accurate numerical constants when developing algebraic models is a known challenge for evolutionary algorithms, such as Gene Expression Programming (GEP). This paper introduces the concept of adaptive symbols to the GEP framework…