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Massive multi-input multi-output (MIMO) in Frequency Division Duplex (FDD) mode suffers from heavy feedback overhead for Channel State Information (CSI). In this paper, a novel manifold learning-based CSI feedback framework (MLCF) is…

Information Theory · Computer Science 2024-08-27 Yandi Cao , Haifan Yin , Ziao Qin , Weidong Li , Weimin Wu , Mérouane Debbah

Network embedding is an effective technique to learn the low-dimensional representations of nodes in networks. Real-world networks are usually with multiplex or having multi-view representations from different relations. Recently, there has…

Machine Learning · Computer Science 2022-03-08 Qifan Wang , Yi Fang , Anirudh Ravula , Ruining He , Bin Shen , Jingang Wang , Xiaojun Quan , Dongfang Liu

Learning meaningful representations using deep neural networks involves designing efficient training schemes and well-structured networks. Currently, the method of stochastic gradient descent that has a momentum with dropout is one of the…

Machine Learning · Computer Science 2016-01-15 Taehoon Lee , Minsuk Choi , Sungroh Yoon

Emerging applications of machine learning in numerous areas involve continuous gathering of and learning from streams of data. Real-time incorporation of streaming data into the learned models is essential for improved inference in these…

Machine Learning · Computer Science 2020-12-01 Matthew Nokleby , Haroon Raja , Waheed U. Bajwa

Electromagnetic inverse scattering problems (ISPs) aim to retrieve permittivities of dielectric scatterers from the scattering measurement. It is often highly nonlinear, caus-ing the problem to be very difficult to solve. To alleviate the…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Huilin Zhou , Tao Ouyang , Yadan Li , Jian Liu , Qiegen Liu

Autoencoders are a widespread tool in machine learning to transform high-dimensional data into a lowerdimensional representation which still exhibits the essential characteristics of the input. The encoder provides an embedding from the…

Machine Learning · Computer Science 2021-04-28 Juliane Braunsmann , Marko Rajković , Martin Rumpf , Benedikt Wirth

Dimensionality reduction is a fundamental task that aims to simplify complex data by reducing its feature dimensionality while preserving essential patterns, with core applications in data analysis and visualisation. To preserve the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Thomas Dagès , Simon Weber , Ya-Wei Eileen Lin , Ronen Talmon , Daniel Cremers , Michael Lindenbaum , Alfred M. Bruckstein , Ron Kimmel

Manifold learning is used for dimensionality reduction, with the goal of finding a projection subspace to increase and decrease the inter- and intraclass variances, respectively. However, a bottleneck for subspace learning methods often…

Machine Learning · Computer Science 2021-05-26 Parisa Abdolrahim Poorheravi , Vincent Gaudet

Real world data often lie on low-dimensional Riemannian manifolds embedded in high-dimensional spaces. This motivates learning degenerate normalizing flows that map between the ambient space and a low-dimensional latent space. However, if…

Machine Learning · Computer Science 2026-04-14 Hanlin Yu , Søren Hauberg , Marcelo Hartmann , Arto Klami , Georgios Arvanitidis

In many applications, it is important to reconstruct a fluid flow field, or some other high-dimensional state, from limited measurements and limited data. In this work, we propose a shallow neural network-based learning methodology for such…

Manifold learning flows are a class of generative modelling techniques that assume a low-dimensional manifold description of the data. The embedding of such a manifold into the high-dimensional space of the data is achieved via learnable…

Machine Learning · Statistics 2025-03-07 Kyriakos Flouris , Ender Konukoglu

Nonlinear manifold learning algorithms, such as diffusion maps, have been fruitfully applied in recent years to the analysis of large and complex data sets. However, such algorithms still encounter challenges when faced with real data. One…

Mathematical Physics · Physics 2015-05-25 Carmeline J. Dsilva , Ronen Talmon , Ronald R. Coifman , Ioannis G. Kevrekidis

Model reduction of high-dimensional dynamical systems alleviates computational burdens faced in various tasks from design optimization to model predictive control. One popular model reduction approach is based on projecting the governing…

Dynamical Systems · Mathematics 2018-08-24 Francisco J. Gonzalez , Maciej Balajewicz

Features of the same sample generated by different pretrained models often exhibit inherently distinct feature distributions because of discrepancies in the model pretraining objectives or architectures. Learning invariant representations…

Computer Vision and Pattern Recognition · Computer Science 2026-02-05 Jie Chen , Zhu Wang , Chuanbin Liu , Xi Peng

Online learning, where feature spaces can change over time, offers a flexible learning paradigm that has attracted considerable attention. However, it still faces three significant challenges. First, the heterogeneity of real-world data…

Machine Learning · Computer Science 2025-07-17 Shengda Zhuo , Di Wu , Yi He , Shuqiang Huang , Xindong Wu

We present a novel framework for learning cost-efficient latent representations in problems with high-dimensional state spaces through nonlinear dimension reduction. By enriching linear state approximations with low-order polynomial terms…

Numerical Analysis · Mathematics 2026-05-27 Rudy Geelen , Laura Balzano , Karen Willcox

Manifold learning techniques seek to discover structure-preserving mappings of high-dimensional data into low-dimensional spaces. While the new sets of coordinates specified by these mappings can closely parameterize the data, they are…

Numerical Analysis · Computer Science 2019-05-22 Samuel E. Otto , Clarence W. Rowley

Machine unlearning aims to remove knowledge of the specific training data in a well-trained model. Currently, machine unlearning methods typically handle all forgetting data in a single batch, removing the corresponding knowledge all at…

Machine Learning · Computer Science 2025-07-22 Shaofei Shen , Chenhao Zhang , Yawen Zhao , Alina Bialkowski , Weitong Chen , Miao Xu

We address the problem of learning reusable state representations from streaming high-dimensional observations. This is important for areas like Reinforcement Learning (RL), which yields non-stationary data distributions during training. We…

Machine Learning · Computer Science 2020-10-08 Rika Antonova , Maksim Maydanskiy , Danica Kragic , Sam Devlin , Katja Hofmann

Deep neural networks excel at learning the training data, but often provide incorrect and confident predictions when evaluated on slightly different test examples. This includes distribution shifts, outliers, and adversarial examples. To…