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We propose a method for the approximation of high- or even infinite-dimensional feature vectors, which play an important role in supervised learning. The goal is to reduce the size of the training data, resulting in lower storage…

Machine Learning · Statistics 2021-04-06 Patrick Gelß , Stefan Klus , Ingmar Schuster , Christof Schütte

When simulating multiscale stochastic differential equations (SDEs) in high-dimensions, separation of timescales, stochastic noise and high-dimensionality can make simulations prohibitively expensive. The computational cost is dictated by…

Dynamical Systems · Mathematics 2015-10-13 Miles Crosskey , Mauro Maggioni

Effective suppression of surface-related multiples is essential to prevent imaging artifacts and erroneous structural interpretations. While conventional approaches rely on accurate priors or subsurface model knowledge, and supervised…

Geophysics · Physics 2026-05-01 Huan Song , Shijun Cheng , Huanhuan Tang , Wei Ouyang , Weijian Mao

t-distributed stochastic neighbor embedding (t-SNE) is a well-established visualization method for complex high-dimensional data. However, the original t-SNE method is nonparametric, stochastic, and often cannot well prevserve the global…

Computer Vision and Pattern Recognition · Computer Science 2022-01-14 Zixia Zhou , Yuanyuan Wang , Boudewijn P. F. Lelieveldt , Qian Tao

The immense amount of daily generated and communicated data presents unique challenges in their processing. Clustering, the grouping of data without the presence of ground-truth labels, is an important tool for drawing inferences from data.…

Machine Learning · Statistics 2018-02-08 Panagiotis A. Traganitis , Georgios B. Giannakis

Learning representation from relative similarity comparisons, often called ordinal embedding, gains rising attention in recent years. Most of the existing methods are batch methods designed mainly based on the convex optimization, say, the…

Machine Learning · Statistics 2018-02-01 Ke Ma , Jinshan Zeng , Jiechao Xiong , Qianqian Xu , Xiaochun Cao , Wei Liu , Yuan Yao

Explicitly or implicitly, most of dimensionality reduction methods need to determine which samples are neighbors and the similarity between the neighbors in the original highdimensional space. The projection matrix is then learned on the…

Computer Vision and Pattern Recognition · Computer Science 2017-09-12 Yanwei Pang , Bo Zhou , Feiping Nie

We propose a scalable method for semi-supervised (transductive) learning from massive network-structured datasets. Our approach to semi-supervised learning is based on representing the underlying hypothesis as a graph signal with small…

Machine Learning · Computer Science 2016-11-03 Alexander Jung , Alfred O. Hero , Alexandru Mara , Sabeur Aridhi

Manifold learning approaches seek the intrinsic, low-dimensional data structure within a high-dimensional space. Mainstream manifold learning algorithms, such as Isomap, UMAP, $t$-SNE, Diffusion Map, and Laplacian Eigenmaps do not use data…

Machine Learning · Statistics 2023-07-04 Jake S. Rhodes

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

Self-supervised representation learning methods aim to provide powerful deep feature learning without the requirement of large annotated datasets, thus alleviating the annotation bottleneck that is one of the main barriers to practical…

Machine Learning · Computer Science 2022-05-18 Linus Ericsson , Henry Gouk , Chen Change Loy , Timothy M. Hospedales

Self-supervised learning (SSL) has made enormous progress and largely narrowed the gap with the supervised ones, where the representation learning is mainly guided by a projection into an embedding space. During the projection, current…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Lang Huang , Shan You , Mingkai Zheng , Fei Wang , Chen Qian , Toshihiko Yamasaki

This paper proposes Relational Similarity Machines (RSM): a fast, accurate, and flexible relational learning framework for supervised and semi-supervised learning tasks. Despite the importance of relational learning, most existing methods…

Machine Learning · Statistics 2016-08-03 Ryan A. Rossi , Rong Zhou , Nesreen K. Ahmed

The brain learns abstract representations of high-dimensional sensory input, but the plasticity rules that enable such learning are unknown. We study biologically plausible algorithms on the Random Hierarchy Model (RHM), an artificial…

Machine Learning · Computer Science 2026-05-19 Ariane Delrocq , Wu S. Zihan , Guillaume Bellec , Wulfram Gerstner

We present a transductive deep learning-based formulation for the sparse representation-based classification (SRC) method. The proposed network consists of a convolutional autoencoder along with a fully-connected layer. The role of the…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Mahdi Abavisani , Vishal M. Patel

Spatially resolved transcriptomics (SRT) has evolved rapidly through various technologies, enabling scientists to investigate both morphological contexts and gene expression profiling at single-cell resolution in parallel. SRT data are…

In recent years, neural architecture-based recommender systems have achieved tremendous success, but they still fall short of expectation when dealing with highly sparse data. Self-supervised learning (SSL), as an emerging technique for…

Information Retrieval · Computer Science 2023-06-05 Junliang Yu , Hongzhi Yin , Xin Xia , Tong Chen , Jundong Li , Zi Huang

Spiking neural networks (SNNs) possess energy-efficient potential due to event-based computation. However, supervised training of SNNs remains a challenge as spike activities are non-differentiable. Previous SNNs training methods can be…

Neural and Evolutionary Computing · Computer Science 2019-10-08 Yunzhe Hao , Xuhui Huang , Meng Dong , Bo Xu

Recent work in Deep Learning has re-imagined the representation of data as functions mapping from a coordinate space to an underlying continuous signal. When such functions are approximated by neural networks this introduces a compelling…

Machine Learning · Statistics 2022-08-09 Jonathan Richard Schwarz , Yee Whye Teh

The need for consistent treatment of uncertainty has recently triggered increased interest in probabilistic deep learning methods. However, most current approaches have severe limitations when it comes to inference, since many of these…