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In recent years, multi-view subspace learning has been garnering increasing attention. It aims to capture the inner relationships of the data that are collected from multiple sources by learning a unified representation. In this way,…

计算机视觉与模式识别 · 计算机科学 2022-12-07 Shizhen Chang , Michael Kopp , Pedram Ghamisi

In this paper, a very effective method to solve the contiguous face occlusion recognition problem is proposed. It utilizes the robust image gradient direction features together with a variety of mapping functions and adopts a hierarchical…

图像与视频处理 · 电气工程与系统科学 2024-09-23 Cho-Ying Wu , Jian-Jiun Ding

Feature selection is a dimensionality reduction technique that selects a subset of representative features from high dimensional data by eliminating irrelevant and redundant features. Recently, feature selection combined with sparse…

计算机视觉与模式识别 · 计算机科学 2018-04-24 Siwei Feng , Marco F. Duarte

Feature selection is important for high-dimensional data analysis and is non-trivial in unsupervised learning problems such as dimensionality reduction and clustering. The goal of unsupervised feature selection is finding a subset of…

机器学习 · 计算机科学 2024-11-26 Ziheng Sun , Chris Ding , Jicong Fan

Kernel methods augmented with random features give scalable algorithms for learning from big data. But it has been computationally hard to sample random features according to a probability distribution that is optimized for the data, so as…

量子物理 · 物理学 2021-11-02 Hayata Yamasaki , Sathyawageeswar Subramanian , Sho Sonoda , Masato Koashi

This paper develops a novel mathematical framework for collaborative learning by means of geometrically inspired kernel machines which includes statements on the bounds of generalisation and approximation errors, and sample complexity. For…

The notion of reproducing kernel Hilbert space (RKHS) has emerged in system identification during the past decade. In the resulting framework, the impulse response estimation problem is formulated as a regularized optimization defined on an…

系统与控制 · 电气工程与系统科学 2022-04-19 Mohammad Khosravi , Roy S. Smith

We consider a discriminative learning (regression) problem, whereby the regression function is a convex combination of k linear classifiers. Existing approaches are based on the EM algorithm, or similar techniques, without provable…

机器学习 · 计算机科学 2014-08-01 Yuekai Sun , Stratis Ioannidis , Andrea Montanari

We present a general framework of semi-supervised dimensionality reduction for manifold learning which naturally generalizes existing supervised and unsupervised learning frameworks which apply the spectral decomposition. Algorithms derived…

机器学习 · 计算机科学 2009-07-29 Ratthachat Chatpatanasiri , Boonserm Kijsirikul

This paper presents a general vector-valued reproducing kernel Hilbert spaces (RKHS) framework for the problem of learning an unknown functional dependency between a structured input space and a structured output space. Our formulation…

机器学习 · 统计学 2016-08-23 Ha Quang Minh , Loris Bazzani , Vittorio Murino

This paper starts with the general form of the polynomial regression model. We reformulate the Sparse Polynomial Regression Model (SPRM) with anomalous data filtering as Mixed-Integer Linear Program (MILP). This MILP is then converted to a…

最优化与控制 · 数学 2025-08-26 Roozbeh Abolpour , Mohammad Reza Hesamzadeh , Maryam Dehghani

Online sparse linear regression is an online problem where an algorithm repeatedly chooses a subset of coordinates to observe in an adversarially chosen feature vector, makes a real-valued prediction, receives the true label, and incurs the…

机器学习 · 计算机科学 2020-07-27 Satyen Kale , Zohar Karnin , Tengyuan Liang , Dávid Pál

This paper presents an innovative approach to dimensionality reduction and feature extraction in high-dimensional datasets, with a specific application focus on wood surface defect detection. The proposed framework integrates sparse…

机器学习 · 计算机科学 2024-10-01 Harish Neelam , Koushik Sai Veerella , Souradip Biswas

In recent years, feature selection has become a challenging problem in several machine learning fields, such as classification problems. Support Vector Machine (SVM) is a well-known technique applied in classification tasks. Various…

机器学习 · 计算机科学 2021-01-18 Asunción Jiménez-Cordero , Juan Miguel Morales , Salvador Pineda

Manifold learning is a central task in modern statistics and data science. Many datasets (cells, documents, images, molecules) can be represented as point clouds embedded in a high dimensional ambient space, however the degrees of freedom…

机器学习 · 统计学 2025-02-18 Stephen Zhang , Gilles Mordant , Tetsuya Matsumoto , Geoffrey Schiebinger

The kernel herding algorithm is used to construct quadrature rules in a reproducing kernel Hilbert space (RKHS). While the computational efficiency of the algorithm and stability of the output quadrature formulas are advantages of this…

数值分析 · 数学 2022-07-18 Kazuma Tsuji , Ken'ichiro Tanaka

Accurate land cover segmentation of spectral images is challenging and has drawn widespread attention in remote sensing due to its inherent complexity. Although significant efforts have been made for developing a variety of methods, most of…

图像与视频处理 · 电气工程与系统科学 2021-11-30 Carlos Hinojosa , Esteban Vera , Henry Arguello

Pillar-based 3D object detection has gained traction in self-driving technology due to its speed and accuracy facilitated by the artificial densification of pillars for GPU-friendly processing. However, dense pillar processing fundamentally…

计算机视觉与模式识别 · 计算机科学 2024-08-27 Seongmin Park , Minjae Lee , Junwon Choi , Jungwook Choi

In Computer Vision, problem of identifying or classifying the objects present in an image is called Object Categorization. It is a challenging problem, especially when the images have clutter background, occlusions or different lighting…

计算机视觉与模式识别 · 计算机科学 2016-04-26 Jyothi Korra

The majority of existing hyperspectral anomaly detection (HAD) methods use the low-rank representation (LRR) model to separate the background and anomaly components, where the anomaly component is optimized by handcrafted sparse priors…

计算机视觉与模式识别 · 计算机科学 2024-04-23 Yidan Liu , Weiying Xie , Kai Jiang , Jiaqing Zhang , Yunsong Li , Leyuan Fang