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This paper introduces a subspace method for the estimation of an array covariance matrix. It is shown that when the received signals are uncorrelated, the true array covariance matrices lie in a specific subspace whose dimension is…

Numerical Analysis · Computer Science 2014-11-04 Mostafa Rahmani , George Atia

One-class learning is the classic problem of fitting a model to data for which annotations are available only for a single class. In this paper, we propose a novel objective for one-class learning. Our key idea is to use a pair of…

Computer Vision and Pattern Recognition · Computer Science 2019-08-19 Jue Wang , Anoop Cherian

In this paper we outline a PhD research plan. This research contributes to the field of one-class incremental learning and classification in case of non-stationary environments. The goal of this PhD is to define a new classification…

Computer Vision and Pattern Recognition · Computer Science 2016-10-18 Takoua Kefi , Riadh Ksantini , M. Becha Kaaniche , Adel Bouhoula

Various non-trivial spaces are becoming popular for embedding structured data such as graphs, texts, or images. Following spherical and hyperbolic spaces, more general product spaces have been proposed. However, searching for the best…

Machine Learning · Computer Science 2022-04-11 Kirill Shevkunov , Liudmila Prokhorenkova

We propose a method to reconstruct and cluster incomplete high-dimensional data lying in a union of low-dimensional subspaces. Exploring the sparse representation model, we jointly estimate the missing data while imposing the intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 João Carvalho , Manuel Marques , João P. Costeira

Graph-based variational methods have recently shown to be highly competitive for various classification problems of high-dimensional data, but are inherently difficult to handle from an optimization perspective. This paper proposes a convex…

Optimization and Control · Mathematics 2017-02-17 Egil Bae , Ekaterina Merkurjev

In this work, we propose a novel convolutional autoencoder based architecture to generate subspace specific feature representations that are best suited for classification task. The class-specific data is assumed to lie in low dimensional…

Computer Vision and Pattern Recognition · Computer Science 2021-05-20 Krishan Sharma , Shikha Gupta , Renu Rameshan

Data representation is usually a natural form with their attribute values. On this basis, data processing is an attribute-centered calculation. However, there are three limitations in the attribute-centered calculation, saying, inflexible…

Information Retrieval · Computer Science 2022-07-18 Shichao Zhang , Jiaye Li , Wenzhen Zhang , Yongsong Qin

Spectral-based subspace clustering methods have proved successful in many challenging applications such as gene sequencing, image recognition, and motion segmentation. In this work, we first propose a novel spectral-based subspace…

Machine Learning · Statistics 2021-06-09 Hankui Peng , Nicos G. Pavlidis

We present a new approach, called meta-meta classification, to learning in small-data settings. In this approach, one uses a large set of learning problems to design an ensemble of learners, where each learner has high bias and low variance…

Machine Learning · Computer Science 2020-06-16 Arkabandhu Chowdhury , Dipak Chaudhari , Swarat Chaudhuri , Chris Jermaine

The lack of proper class discrimination among the Hyperspectral (HS) data points poses a potential challenge in HS classification. To address this issue, this paper proposes an optimal geometry-aware transformation for enhancing the…

Machine Learning · Computer Science 2018-07-10 Ramanarayan Mohanty , S L Happy , Aurobinda Routray

A method based on one class support vector machine (OCSVM) is proposed for class incremental learning. Several OCSVM models divide the input space into several parts. Then, the 1VS1 classifiers are constructed for the confuse part by using…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 Chengfei Yao , Jie Zou , Yanan Luo , Tao Li , Gang Bai

This paper introduces a novel framework for dynamic classification in high dimensional spaces, addressing the evolving nature of class distributions over time or other index variables. Traditional discriminant analysis techniques are…

Methodology · Statistics 2025-02-18 Wenbo Ouyang , Ruiyang Wu , Ning Hao , Hao Helen Zhang

Classifiers label data as belonging to one of a set of groups based on input features. It is challenging to obtain accurate classification performance when the feature distributions in the different classes are complex, with nonlinear,…

Machine Learning · Statistics 2021-10-06 Didong Li , David B Dunson

The paper introduces a new efficient nonlinear one-class classifier formulated as the Rayleigh quotient criterion optimisation. The method, operating in a reproducing kernel Hilbert space, minimises the scatter of target distribution along…

Machine Learning · Computer Science 2019-02-12 Shervin Rahimzadeh Arashloo , Josef Kittler

In this paper, we present new optimization models for Support Vector Machine (SVM), with the aim of separating data points in two or more classes. The classification task is handled by means of nonlinear classifiers induced by kernel…

Optimization and Control · Mathematics 2025-07-15 Francesca Maggioni , Andrea Spinelli

Solving different types of optimization models (including parameters fitting) for support vector machines on large-scale training data is often an expensive computational task. This paper proposes a multilevel algorithmic framework that…

Machine Learning · Statistics 2014-10-14 Talayeh Razzaghi , Ilya Safro

The era of Big Data has spawned unprecedented interests in developing hashing algorithms for efficient storage and fast nearest neighbor search. Most existing work learn hash functions that are numeric quantizations of feature values in…

Machine Learning · Computer Science 2015-03-23 Kai Li , Guojun Qi , Jun Ye , Kien A. Hua

This study presents a divide-and-conquer (DC) approach based on feature space decomposition for classification. When large-scale datasets are present, typical approaches usually employed truncated kernel methods on the feature space or DC…

Machine Learning · Computer Science 2018-07-30 Qi Guo , Bo-Wei Chen , Feng Jiang , Xiangyang Ji , Sun-Yuan Kung

The Nearest subspace classifier (NSS) finds an estimation of the underlying subspace within each class and assigns data points to the class that corresponds to its nearest subspace. This paper mainly studies how well NSS can be generalized…

Machine Learning · Statistics 2015-01-27 Yi Wang