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Nonconvex regularization has been popularly used in low-rank matrix learning. However, extending it for low-rank tensor learning is still computationally expensive. To address this problem, we develop an efficient solver for use with a…

机器学习 · 计算机科学 2022-05-09 Quanming Yao , Yaqing Wang , Bo Han , James Kwok

We consider learning deep neural networks (DNNs) that consist of low-precision weights and activations for efficient inference of fixed-point operations. In training low-precision networks, gradient descent in the backward pass is performed…

计算机视觉与模式识别 · 计算机科学 2020-05-26 Yoojin Choi , Mostafa El-Khamy , Jungwon Lee

Multiple kernel learning (MKL) aims to find an optimal, consistent kernel function. In the hierarchical multiple kernel clustering (HMKC) algorithm, sample features are extracted layer by layer from a high-dimensional space to maximize the…

机器学习 · 计算机科学 2024-10-29 Lei Wang , Liang Du , Peng Zhou

We consider the least-square regression problem with regularization by a block 1-norm, i.e., a sum of Euclidean norms over spaces of dimensions larger than one. This problem, referred to as the group Lasso, extends the usual regularization…

机器学习 · 计算机科学 2008-01-28 Francis Bach

This paper is concerned with the sparsification of the input-hidden weights of ELM (Extreme Learning Machine). For ordinary feedforward neural networks, the sparsification is usually done by introducing certain regularization technique into…

机器学习 · 计算机科学 2018-01-23 Feng Li , Sibo Yang , Huanhuan Huang , Wei Wu

In recent years, continual learning, a prediction setting in which the problem environment may evolve over time, has become an increasingly popular research field due to the framework's gearing towards complex, non-stationary objectives.…

机器学习 · 计算机科学 2024-09-27 Max Koster , Jude Kukla

A candidate explanation of the good empirical performance of deep neural networks is the implicit regularization effect of first order optimization methods. Inspired by this, we prove a convergence theorem for nonconvex composite…

机器学习 · 计算机科学 2023-02-14 Dávid Terjék , Diego González-Sánchez

We study training one-hidden-layer ReLU networks in the neural tangent kernel (NTK) regime, where the networks' biases are initialized to some constant rather than zero. We prove that under such initialization, the neural network will have…

机器学习 · 计算机科学 2024-10-31 Hongru Yang , Ziyu Jiang , Ruizhe Zhang , Yingbin Liang , Zhangyang Wang

In this work we study generalization of neural networks in gradient-based meta-learning by analyzing various properties of the objective landscapes. We experimentally demonstrate that as meta-training progresses, the meta-test solutions,…

机器学习 · 计算机科学 2019-07-18 Simon Guiroy , Vikas Verma , Christopher Pal

We derive an upper bound on the local Rademacher complexity of $\ell_p$-norm multiple kernel learning, which yields a tighter excess risk bound than global approaches. Previous local approaches aimed at analyzed the case $p=1$ only while…

机器学习 · 统计学 2011-03-07 Marius Kloft , Gilles Blanchard

Multi-task learning is a natural approach for computer vision applications that require the simultaneous solution of several distinct but related problems, e.g. object detection, classification, tracking of multiple agents, or denoising, to…

机器学习 · 计算机科学 2015-04-14 Carlo Ciliberto , Lorenzo Rosasco , Silvia Villa

Targeting at sparse multi-task learning, we consider regularization models with an $\ell^1$ penalty on the coefficients of kernel functions. In order to provide a kernel method for this model, we construct a class of vector-valued…

泛函分析 · 数学 2019-01-07 Rongrong Lin , Guohui Song , Haizhang Zhang

It is commonly believed that optimizing the reverse KL divergence results in "mode seeking", while optimizing forward KL results in "mass covering", with the latter being preferred if the goal is to sample from multiple diverse modes. We…

机器学习 · 计算机科学 2025-10-24 Anthony GX-Chen , Jatin Prakash , Jeff Guo , Rob Fergus , Rajesh Ranganath

When optimizing over-parameterized models, such as deep neural networks, a large set of parameters can achieve zero training error. In such cases, the choice of the optimization algorithm and its respective hyper-parameters introduces…

机器学习 · 计算机科学 2019-12-06 Gauthier Gidel , Francis Bach , Simon Lacoste-Julien

We propose a new point of view for regularizing deep neural networks by using the norm of a reproducing kernel Hilbert space (RKHS). Even though this norm cannot be computed, it admits upper and lower approximations leading to various…

机器学习 · 统计学 2019-05-15 Alberto Bietti , Grégoire Mialon , Dexiong Chen , Julien Mairal

Regularization plays a vital role in the context of deep learning by preventing deep neural networks from the danger of overfitting. This paper proposes a novel deep learning regularization method named as DL-Reg, which carefully reduces…

机器学习 · 计算机科学 2020-11-05 Maryam Dialameh , Ali Hamzeh , Hossein Rahmani

Multi-Task Learning (MTL) enables a single model to learn multiple tasks simultaneously, leveraging knowledge transfer among tasks for enhanced generalization, and has been widely applied across various domains. However, task imbalance…

机器学习 · 计算机科学 2025-10-22 Xiaohan Qin , Xiaoxing Wang , Ning Liao , Junchi Yan

Most complex machine learning and modelling techniques are prone to over-fitting and may subsequently generalise poorly to future data. Artificial neural networks are no different in this regard and, despite having a level of implicit…

机器学习 · 统计学 2022-05-26 Vincent Szolnoky , Viktor Andersson , Balazs Kulcsar , Rebecka Jörnsten

We consider the problem of training a deep neural network with nonsmooth regularization to retrieve a sparse and efficient sub-structure. Our regularizer is only assumed to be lower semi-continuous and prox-bounded. We combine an adaptive…

机器学习 · 统计学 2022-06-20 Dounia Lakhmiri , Dominique Orban , Andrea Lodi

While the impressive performance of modern neural networks is often attributed to their capacity to efficiently extract task-relevant features from data, the mechanisms underlying this rich feature learning regime remain elusive, with much…

机器学习 · 计算机科学 2024-10-15 Daniel Kunin , Allan Raventós , Clémentine Dominé , Feng Chen , David Klindt , Andrew Saxe , Surya Ganguli
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