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This paper presents a comprehensive overview of several multidimensional reduction methods focusing on Multidimensional Principal Component Analysis (MPCA), Multilinear Orthogonal Neighborhood Preserving Projection (MONPP), Multidimensional…

Numerical Analysis · Mathematics 2026-01-05 Mohamed El Guide , Alaa El Ichi , Khalide Jbilou , Lothar Reichel , Hessah Alqahtani

Learning the distance metric between pairs of examples is of great importance for visual recognition, especially for person re-identification (Re-Id). Recently, the contrastive and triplet loss are proposed to enhance the discriminative…

Computer Vision and Pattern Recognition · Computer Science 2017-07-26 De Cheng , Yihong Gong , Zhihui Li , Weiwei Shi , Alexander G. Hauptmann , Nanning Zheng

The joint optimization of the reconstruction and classification error is a hard non convex problem, especially when a non linear mapping is utilized. In order to overcome this obstacle, a novel optimization strategy is proposed, in which a…

Machine Learning · Computer Science 2022-11-07 Ioannis A. Nellas , Sotiris K. Tasoulis , Vassilis P. Plagianakos , Spiros V. Georgakopoulos

In recent years, a myriad of advanced results have been reported in the community of imitation learning, ranging from parametric to non-parametric, probabilistic to non-probabilistic and Bayesian to frequentist approaches. Meanwhile, ample…

Machine Learning · Computer Science 2019-09-18 Yanlong Huang , Darwin G. Caldwell

Searching large and complex design spaces for a global optimum can be infeasible and unnecessary. A practical alternative is to iteratively refine the neighborhood of an initial design using local optimization methods such as gradient…

Machine Learning · Computer Science 2025-11-25 David Stenger , Armin Lindicke , Alexander von Rohr , Sebastian Trimpe

We propose a generative framework which takes on the video frame interpolation problem. Our framework, which we call Deep Locally Linear Embedding (DeepLLE), is powered by a deep convolutional neural network (CNN) while it can be used…

Computer Vision and Pattern Recognition · Computer Science 2018-07-05 Anh-Duc Nguyen , Woojae Kim , Jongyoo Kim , Sanghoon Lee

Embedding approaches have become one of the most pervasive techniques for multi-label classification. However, the training process of embedding methods usually involves a complex quadratic or semidefinite programming problem, or the model…

Machine Learning · Computer Science 2021-09-01 Xiuwen Gong , Dong Yuan , Wei Bao

Deterministic interpolation and quadrature methods are often unsuitable to address Bayesian inverse problems depending on computationally expensive forward mathematical models. While interpolation may give precise posterior approximations,…

Most existing random walk based network embedding methods often follow only one of two principles, homophily or structural equivalence. In real world networks, however, nodes exhibit a mixture of homophily and structural equivalence, which…

Social and Information Networks · Computer Science 2020-10-27 Chen Cui , Ning Yang , Philip S. Yu

Alternating direction multiplication is a powerful technique for solving convex optimisation problems. When challenging subproblems are encountered in the real world, it is useful to solve them by introducing neighbourhood terms. When the…

Optimization and Control · Mathematics 2024-04-29 Boran Wang

In this paper we propose local approximation spaces for localized model order reduction procedures such as domain decomposition and multiscale methods. Those spaces are constructed from local solutions of the partial differential equation…

Numerical Analysis · Mathematics 2018-07-31 Andreas Buhr , Kathrin Smetana

With the remarkable success achieved by the Convolutional Neural Networks (CNNs) in object recognition recently, deep learning is being widely used in the computer vision community. Deep Metric Learning (DML), integrating deep learning with…

Computer Vision and Pattern Recognition · Computer Science 2018-03-08 Bowen Wu , Zhangling Chen , Jun Wang , Huaming Wu

In this paper the problem of image restoration (denoising and inpainting) is approached using sparse approximation of local image blocks. The local image blocks are extracted by sliding square windows over the image. An adaptive block size…

Computer Vision and Pattern Recognition · Computer Science 2021-09-17 Sujit Kumar Sahoo

The aim of sparse approximation is to estimate a sparse signal according to the measurement matrix and an observation vector. It is widely used in data analytics, image processing, and communication, etc. Up to now, a lot of research has…

Signal Processing · Electrical Eng. & Systems 2018-05-31 Hao Wang , Ruibin Feng , Chi-Sing Leung

Memory and computation efficient deep learning architec- tures are crucial to continued proliferation of machine learning capabili- ties to new platforms and systems. Binarization of operations in convo- lutional neural networks has shown…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Jeng-Hau Lin , Yunfan Yang , Rajesh Gupta , Zhuowen Tu

Local learning of sparse image models has proven to be very effective to solve inverse problems in many computer vision applications. To learn such models, the data samples are often clustered using the K-means algorithm with the Euclidean…

Computer Vision and Pattern Recognition · Computer Science 2016-04-20 Julio Cesar Ferreira , Elif Vural , Christine Guillemot

We propose STANE (Shared and Time-specific Adaptive Network Embedding), a new joint embedding framework for dynamic networks that captures both stable global structures and localized temporal variations. To further improve the model's…

Methodology · Statistics 2025-10-21 Hairi Bai , Xinyan Fan , Kuangnan Fang , Yan Zhang

Regression is an important task in machine learning and data mining. It has several applications in various domains, including finance, biomedical, and computer vision. Recently, network Lasso, which estimates local models by making…

Machine Learning · Computer Science 2020-03-13 Mathis Petrovich , Makoto Yamada

Clustering is a fundamental unsupervised learning approach. Many clustering algorithms -- such as $k$-means -- rely on the euclidean distance as a similarity measure, which is often not the most relevant metric for high dimensional data…

Machine Learning · Computer Science 2019-10-22 Aude Genevay , Gabriel Dulac-Arnold , Jean-Philippe Vert

Learning linear combinations of multiple kernels is an appealing strategy when the right choice of features is unknown. Previous approaches to multiple kernel learning (MKL) promote sparse kernel combinations to support interpretability and…

Machine Learning · Computer Science 2010-10-28 Marius Kloft , Ulf Brefeld , Soeren Sonnenburg , Alexander Zien