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Despite huge successes on a wide range of tasks, neural networks are known to sometimes struggle to generalise to unseen data. Many approaches have been proposed over the years to promote the generalisation ability of neural networks,…

机器学习 · 计算机科学 2026-02-02 Christiaan P. Opperman , Anna S. Bosman , Katherine M. Malan

Model instability and poor prediction of long-term behavior are common problems when modeling dynamical systems using nonlinear "black-box" techniques. Direct optimization of the long-term predictions, often called simulation error…

系统与控制 · 计算机科学 2017-01-25 Mark M. Tobenkin , Ian R. Manchester , Alexandre Megretski

Deep neural networks have seen great success in recent years; however, training a deep model is often challenging as its performance heavily depends on the hyper-parameters used. In addition, finding the optimal hyper-parameter…

Population-based evolutionary algorithms have great potential to handle multiobjective optimisation problems. However, these algorithms depends largely on problem characteristics, and there is a need to improve their performance for a wider…

神经与进化计算 · 计算机科学 2019-10-17 Shouyong Jiang , Hongru Li , Jinglei Guo , Mingjun Zhong , Shengxiang Yang , Marcus Kaiser , Natalio Krasnogor

We present a novel regularization approach to train neural networks that enjoys better generalization and test error than standard stochastic gradient descent. Our approach is based on the principles of cross-validation, where a validation…

计算机视觉与模式识别 · 计算机科学 2018-09-06 Simon Jenni , Paolo Favaro

In this work, we investigate data fitting problems with random noises. A randomized progressive iterative regularization method is proposed. It works well for large-scale matrix computations and converges in expectation to the least-squares…

数值分析 · 数学 2025-06-05 Dakang Cen , Wenlong Zhang , Junbin Zhong

Hyperparameter optimization (HPO) is generally treated as a bi-level optimization problem that involves fitting a (probabilistic) surrogate model to a set of observed hyperparameter responses, e.g. validation loss, and consequently…

机器学习 · 计算机科学 2021-10-18 Hadi S. Jomaa , Jonas Falkner , Lars Schmidt-Thieme

In this work, we propose a simple yet effective meta-learning algorithm in semi-supervised learning. We notice that most existing consistency-based approaches suffer from overfitting and limited model generalization ability, especially when…

机器学习 · 计算机科学 2021-03-18 Xin-Yu Zhang , Taihong Xiao , Haolin Jia , Ming-Ming Cheng , Ming-Hsuan Yang

This article provides an original understanding of the behavior of a class of graph-oriented semi-supervised learning algorithms in the limit of large and numerous data. It is demonstrated that the intuition at the root of these methods…

机器学习 · 计算机科学 2017-11-10 Xiaoyi Mai , Romain Couillet

Pre-trained representation is one of the key elements in the success of modern deep learning. However, existing works on continual learning methods have mostly focused on learning models incrementally from scratch. In this paper, we explore…

机器学习 · 计算机科学 2022-08-18 Hyounguk Shon , Janghyeon Lee , Seung Hwan Kim , Junmo Kim

Regularization is a powerful technique for extracting useful information from noisy data. Typically, it is implemented by adding some sort of norm constraint to an objective function and then exactly optimizing the modified objective…

数据结构与算法 · 计算机科学 2011-04-28 Michael W. Mahoney , Lorenzo Orecchia

The paper proposes a novel regularization procedure for machine learning. The proposed high-order regularization (HR) provides new insight into regularization, which is widely used to train a neural network that can be utilized to…

机器学习 · 计算机科学 2025-05-14 Xinghua Liu , Ming Cao

There are many uses for linear fitting; the context here is interpolation and denoising of data, as when you have calibration data and you want to fit a smooth, flexible function to those data. Or you want to fit a flexible function to…

数据分析、统计与概率 · 物理学 2021-09-22 David W. Hogg , Soledad Villar

Low-rank adapters enable fine-tuning of large models with only a small number of parameters, thus reducing storage costs and minimizing the risk of catastrophic forgetting. However, they often pose optimization challenges, with poor…

机器学习 · 计算机科学 2024-12-16 Piotr Teterwak , Kate Saenko , Bryan A. Plummer , Ser-Nam Lim

Many applications require minimizing a family of optimization problems indexed by some hyperparameter $\lambda \in \Lambda$ to obtain an entire solution path. Traditional approaches proceed by discretizing $\Lambda$ and solving a series of…

最优化与控制 · 数学 2025-03-12 Qiran Dong , Paul Grigas , Vishal Gupta

Deep learning techniques play an increasingly important role in industrial and research environments due to their outstanding results. However, the large number of hyper-parameters to be set may lead to errors if they are set manually. The…

机器学习 · 计算机科学 2020-06-04 Michele Fraccaroli , Evelina Lamma , Fabrizio Riguzzi

The paper addresses the problem of low-rank trace norm minimization. We propose an algorithm that alternates between fixed-rank optimization and rank-one updates. The fixed-rank optimization is characterized by an efficient factorization…

最优化与控制 · 数学 2013-06-04 B. Mishra , G. Meyer , F. Bach , R. Sepulchre

Regularization is used in many different areas of optimization when solutions are sought which not only minimize a given function, but also possess a certain degree of regularity. Popular applications are image denoising, sparse regression…

最优化与控制 · 数学 2021-11-15 Bennet Gebken , Katharina Bieker , Sebastian Peitz

As application demands for online convex optimization accelerate, the need for designing new methods that simultaneously cover a large class of convex functions and impose the lowest possible regret is highly rising. Known online…

机器学习 · 计算机科学 2019-06-04 Saeed Masoudian , Ali Arabzadeh , Mahdi Jafari Siavoshani , Milad Jalal , Alireza Amouzad

Over-parameterized deep models usually over-fit to a given training distribution, which makes them sensitive to small changes and out-of-distribution samples at inference time, leading to low generalization performance. To this end, several…

计算机视觉与模式识别 · 计算机科学 2019-12-12 Saeid Asgari Taghanaki , Kumar Abhishek , Ghassan Hamarneh