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The group Lasso is an extension of the Lasso for feature selection on (predefined) non-overlapping groups of features. The non-overlapping group structure limits its applicability in practice. There have been several recent attempts to…

机器学习 · 计算机科学 2010-09-03 Jun Liu , Jieping Ye

Quantitative T1rho mapping has shown promise in clinical and research studies. However, it suffers from long scan times. Deep learning-based techniques have been successfully applied in accelerated quantitative MR parameter mapping.…

图像与视频处理 · 电气工程与系统科学 2024-07-25 Yuanyuan Liu , Jinwen Xie , Zhuo-Xu Cui , Qingyong Zhu , Jing Cheng , Dong Liang , Yanjie Zhu

Although the sparse multinomial logistic regression (SMLR) has provided a useful tool for sparse classification, it suffers from inefficacy in dealing with high dimensional features and manually set initial regressor values. This has…

计算机视觉与模式识别 · 计算机科学 2017-12-05 Faxian Cao , Zhijing Yang , Jinchang Ren , Wing-Kuen Ling

We propose a fast method for solving compressed sensing, Lasso regression, and Logistic Lasso regression problems that iteratively runs an appropriate solver using an active set approach. We design a strategy to update the active set that…

机器学习 · 计算机科学 2024-02-06 Siu-Wing Cheng , Man Ting Wong

We present Epsilon, a system for general convex programming using fast linear and proximal operators. As with existing convex programming frameworks, users specify convex optimization problems using a natural grammar for mathematical…

最优化与控制 · 数学 2015-11-17 Matt Wytock , Po-Wei Wang , J. Zico Kolter

Low-Rank Adaptation (LoRA) lowers the computational and memory overhead of fine-tuning large models by updating a low-dimensional subspace of the pre-trained weight matrix. Albeit efficient, LoRA exhibits suboptimal convergence and…

机器学习 · 计算机科学 2026-02-25 Yilang Zhang , Bingcong Li , Georgios B. Giannakis

As the complexity of neural network models has grown, it has become increasingly important to optimize their design automatically through metalearning. Methods for discovering hyperparameters, topologies, and learning rate schedules have…

机器学习 · 计算机科学 2020-04-28 Santiago Gonzalez , Risto Miikkulainen

We consider the constrained Linear Inverse Problem (LIP), where a certain atomic norm (like the $\ell_1 $ norm) is minimized subject to a quadratic constraint. Typically, such cost functions are non-differentiable, which makes them not…

最优化与控制 · 数学 2025-07-08 Mohammed Rayyan Sheriff , Floor Fenne Redel , Peyman Mohajerin Esfahani

The estimation problem in a high regression model with structured sparsity is investigated. An algorithm using a two steps block thresholding procedure called GR-LOL is provided. Convergence rates are produced: they depend on simple…

统计理论 · 数学 2012-07-10 Mathilde Mougeot , Dominique Picard , Karine Tribouley

A general representation of the quaternion gradients presented in the literature is proposed, and an universal update equation for QLMS-like algorithms is obtained. The general update law is used to study the convergence of widely linear…

最优化与控制 · 数学 2014-10-13 Fernando G. Almeida Neto , Vítor H. Nascimento

We are interested in parallelizing the Least Angle Regression (LARS) algorithm for fitting linear regression models to high-dimensional data. We consider two parallel and communication avoiding versions of the basic LARS algorithm. The two…

机器学习 · 计算机科学 2020-09-15 S. Das , J. Demmel , K. Fountoulakis , L. Grigori , M. W. Mahoney , S. Yang

There is a clear need for efficient algorithms to tune hyperparameters for statistical learning schemes, since the commonly applied search methods (such as grid search with N-fold cross-validation) are inefficient and/or approximate.…

机器学习 · 计算机科学 2020-04-07 Luis Miguel Lopez-Ramos , Baltasar Beferull-Lozano

Table structure recognition (TSR) aims at extracting tables in images into machine-understandable formats. Recent methods solve this problem by predicting the adjacency relations of detected cell boxes or learning to directly generate the…

计算机视觉与模式识别 · 计算机科学 2024-01-04 Rujiao Long , Hangdi Xing , Zhibo Yang , Qi Zheng , Zhi Yu , Cong Yao , Fei Huang

Supervised classification and representation learning are two widely used classes of methods to analyze multivariate images. Although complementary, these methods have been scarcely considered jointly in a hierarchical modeling. In this…

计算机视觉与模式识别 · 计算机科学 2020-02-14 Adrien Lagrange , Mathieu Fauvel , Stéphane May , José Bioucas-Dias , Nicolas Dobigeon

A new generalized multilinear regression model, termed the Higher-Order Partial Least Squares (HOPLS), is introduced with the aim to predict a tensor (multiway array) $\tensor{Y}$ from a tensor $\tensor{X}$ through projecting the data onto…

Large Language Models (LLMs) demonstrate exceptional performance across various tasks but demand substantial computational resources even for fine-tuning computation. Although Low-Rank Adaptation (LoRA) significantly alleviates memory…

机器学习 · 计算机科学 2025-02-04 Guanduo Chen , Yutong He , Yipeng Hu , Kun Yuan , Binhang Yuan

Recent advancements in image generation models have enabled personalized image creation with both user-defined subjects (content) and styles. Prior works achieved personalization by merging corresponding low-rank adapters (LoRAs) through…

计算机视觉与模式识别 · 计算机科学 2025-08-12 Donald Shenaj , Ondrej Bohdal , Mete Ozay , Pietro Zanuttigh , Umberto Michieli

Practical face recognition has been studied in the past decades, but still remains an open challenge. Current prevailing approaches have already achieved substantial breakthroughs in recognition accuracy. However, their performance usually…

计算机视觉与模式识别 · 计算机科学 2015-11-03 Yandong Wen , Weiyang Liu , Meng Yang , Zhifeng Li

This paper presents a framework to solve constrained optimization problems in an accelerated manner based on High-Order Tuners (HT). Our approach is based on reformulating the original constrained problem as the unconstrained optimization…

最优化与控制 · 数学 2022-05-27 Anjali Parashar , Priyank Srivastava , Anuradha M. Annaswamy

Estimating graphical model structure from high-dimensional and undersampled data is a fundamental problem in many scientific fields. Existing approaches, such as GLASSO, latent variable GLASSO, and latent tree models, suffer from high…

机器学习 · 统计学 2019-09-18 Greg Ver Steeg , Hrayr Harutyunyan , Daniel Moyer , Aram Galstyan