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It has been observed that the performances of many high-dimensional estimation problems are universal with respect to underlying sensing (or design) matrices. Specifically, matrices with markedly different constructions seem to achieve…

信息论 · 计算机科学 2023-07-24 Rishabh Dudeja , Subhabrata Sen , Yue M. Lu

Unsupervised representation learning methods are widely used for gaining insight into high-dimensional, unstructured, or structured data. In some cases, users may have prior topological knowledge about the data, such as a known cluster…

机器学习 · 计算机科学 2023-11-08 Edith Heiter , Robin Vandaele , Tijl De Bie , Yvan Saeys , Jefrey Lijffijt

We introduce a general method for learning representations that are equivariant to symmetries of data. Our central idea is to decompose the latent space into an invariant factor and the symmetry group itself. The components semantically…

机器学习 · 计算机科学 2023-02-08 Giovanni Luca Marchetti , Gustaf Tegnér , Anastasiia Varava , Danica Kragic

Graph convolution networks (GCNs) have been enormously successful in learning representations over several graph-based machine learning tasks. Specific to learning rich node representations, most of the methods have solely relied on the…

机器学习 · 计算机科学 2022-11-03 Ashish Tiwari , Sresth Tosniwal , Shanmuganathan Raman

Inspired by the recently remarkable successes of Sparse Representation (SR), Collaborative Representation (CR) and sparse graph, we present a novel hypergraph model named Regression-based Hypergraph (RH) which utilizes the regression models…

计算机视觉与模式识别 · 计算机科学 2016-03-15 Sheng Huang , Dan Yang , Bo Liu , Xiaohong Zhang

Majority of the current dimensionality reduction or retrieval techniques rely on embedding the learned feature representations onto a computable metric space. Once the learned features are mapped, a distance metric aids the bridging of gaps…

计算机视觉与模式识别 · 计算机科学 2018-10-17 Muhammad Kamran Janjua , Shah Nawaz , Alessandro Calefati , Ignazio Gallo

Learning unbiased models on imbalanced datasets is a significant challenge. Rare classes tend to get a concentrated representation in the classification space which hampers the generalization of learned boundaries to new test examples. In…

计算机视觉与模式识别 · 计算机科学 2019-04-11 Salman Khan , Munawar Hayat , Waqas Zamir , Jianbing Shen , Ling Shao

Improving the classification of multi-class imbalanced data is more difficult than its two-class counterpart. In this paper, we use deep neural networks to train new representations of tabular multi-class data. Unlike the typically…

机器学习 · 计算机科学 2023-12-19 Damian Horna , Lango Mateusz , Jerzy Stefanowski

We study low-rank matrix regression in settings where matrix-valued predictors and scalar responses are observed across multiple individuals. Rather than assuming a fully homogeneous coefficient matrices across individuals, we accommodate…

统计方法学 · 统计学 2025-10-28 Di Wang , Xiaoyu Zhang , Guodong Li , Wenyang Zhang

This paper explores the homogeneity of coefficients in high-dimensional regression, which extends the sparsity concept and is more general and suitable for many applications. Homogeneity arises when one expects regression coefficients…

统计方法学 · 统计学 2013-04-01 Tracy Ke , Jianqing Fan , Yichao Wu

While current deep learning models achieve high performance by learning statistical correlations from vast datasets,which stands in stark contrast to human learning. They lack the flexibility of humans-particularly preverbal infants-to…

机器学习 · 计算机科学 2026-04-24 Kyotaro Ushida , Takayuki Komatsu , Yoshiyuki Ohmura , Yasuo Kuniyoshi

Regression plays an essential role in many medical imaging applications for estimating various clinical risk or measurement scores. While training strategies and loss functions have been studied for the deep neural networks in medical image…

图像与视频处理 · 电气工程与系统科学 2022-07-13 Hanqing Chao , Jiajin Zhang , Pingkun Yan

Data imbalance is ubiquitous when applying machine learning to real-world problems, particularly regression problems. If training data are imbalanced, the learning is dominated by the densely covered regions of the target distribution and…

机器学习 · 计算机科学 2024-10-29 Yuchang Jiang , Vivien Sainte Fare Garnot , Konrad Schindler , Jan Dirk Wegner

The success of machine learning algorithms generally depends on data representation, and we hypothesize that this is because different representations can entangle and hide more or less the different explanatory factors of variation behind…

机器学习 · 计算机科学 2014-04-24 Yoshua Bengio , Aaron Courville , Pascal Vincent

Imbalanced domain learning aims to produce accurate models in predicting instances that, though underrepresented, are of utmost importance for the domain. Research in this field has been mainly focused on classification tasks.…

机器学习 · 计算机科学 2022-08-17 Aníbal Silva , Rita P. Ribeiro , Nuno Moniz

We propose a new class of deep reinforcement learning (RL) algorithms that model latent representations in hyperbolic space. Sequential decision-making requires reasoning about the possible future consequences of current behavior.…

机器学习 · 计算机科学 2022-10-05 Edoardo Cetin , Benjamin Chamberlain , Michael Bronstein , Jonathan J Hunt

Recently there is a line of research work proposing to employ Spectral Clustering (SC) to segment (group){Throughout the paper, we use segmentation, clustering, and grouping, and their verb forms, interchangeably.} high-dimensional…

计算机视觉与模式识别 · 计算机科学 2010-10-11 Yuzhao Ni , Ju Sun , Xiaotong Yuan , Shuicheng Yan , Loong-Fah Cheong

The performance of machine learning and pattern recognition algorithms generally depends on data representation. That is why, much of the current effort in performing machine learning algorithms goes into the design of preprocessing…

机器学习 · 计算机科学 2025-10-28 Fadi Dornaika , Ahmad Khoder , Abdelmalik Moujahid , Wassim Khoder

This paper presents a neural network--enhanced surrogate modeling approach for diffusion problems with spatially varying random field coefficients. The method builds on numerical homogenization, which compresses fine-scale coefficients into…

数值分析 · 数学 2025-09-17 Fabian Kröpfl , Daniel Peterseim , Elisabeth Ullmann

The idea behind object-centric representation learning is that natural scenes can better be modeled as compositions of objects and their relations as opposed to distributed representations. This inductive bias can be injected into neural…

机器学习 · 计算机科学 2022-06-10 Andrea Dittadi , Samuele Papa , Michele De Vita , Bernhard Schölkopf , Ole Winther , Francesco Locatello