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A core capability of intelligent systems is the ability to quickly learn new tasks by drawing on prior experience. Gradient (or optimization) based meta-learning has recently emerged as an effective approach for few-shot learning. In this…

Machine Learning · Computer Science 2019-09-11 Aravind Rajeswaran , Chelsea Finn , Sham Kakade , Sergey Levine

Graph Machine Learning (GML) is receiving growing interest within the pharmaceutical and biotechnology industries for its ability to model biomolecular structures, the functional relationships between them, and integrate multi-omic datasets…

We propose Pullback Flow Matching (PFM), a novel framework for generative modeling on data manifolds. Unlike existing methods that assume or learn restrictive closed-form manifold mappings for training Riemannian Flow Matching (RFM) models,…

Machine Learning · Computer Science 2025-07-10 Friso de Kruiff , Erik Bekkers , Ozan Öktem , Carola-Bibiane Schönlieb , Willem Diepeveen

We show a proof of principle for warping, a method to interpret the inner working of neural networks in the context of gene expression analysis. Warping is an efficient way to gain insight to the inner workings of neural nets and make them…

Genomics · Quantitative Biology 2017-08-17 Trofimov Assya , Lemieux Sebastien , Perreault Claude

A novel approach of training data augmentation and domain adaptation is presented to support machine learning applications for cognitive radio. Machine learning provides effective tools to automate cognitive radio functionalities by…

Networking and Internet Architecture · Computer Science 2018-04-04 Kemal Davaslioglu , Yalin E. Sagduyu

Unsupervised deep metric learning (UDML) focuses on learning a semantic representation space using only unlabeled data. This challenging problem requires accurately estimating the similarity between data points, which is used to supervise a…

Computer Vision and Pattern Recognition · Computer Science 2024-03-25 Shubhang Bhatnagar , Narendra Ahuja

The representation of feature space is a crucial environment where data points get vectorized and embedded for subsequent modeling. Thus the efficacy of machine learning (ML) algorithms is closely related to the quality of feature…

Machine Learning · Computer Science 2026-01-12 Xinhao Zhang , Jinghan Zhang , Banafsheh Rekabdar , Yuanchun Zhou , Pengfei Wang , Kunpeng Liu

Manifold learning seeks a low dimensional representation that faithfully captures the essence of data. Current methods can successfully learn such representations, but do not provide a meaningful set of operations that are associated with…

Machine Learning · Computer Science 2019-08-21 David Eklund , Søren Hauberg

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

Representation learning is typically applied to only one mode of a data matrix, either its rows or columns. Yet in many applications, there is an underlying geometry to both the rows and the columns. We propose utilizing this coupled…

Machine Learning · Statistics 2018-10-17 Gal Mishne , Eric C. Chi , Ronald R. Coifman

We propose a novel approach to disentangle the generative factors of variation underlying a given set of observations. Our method builds upon the idea that the (unknown) low-dimensional manifold underlying the data space can be explicitly…

Machine Learning · Computer Science 2021-10-05 Marco Fumero , Luca Cosmo , Simone Melzi , Emanuele Rodolà

Geometric deep learning (GDL), which is based on neural network architectures that incorporate and process symmetry information, has emerged as a recent paradigm in artificial intelligence. GDL bears particular promise in molecular modeling…

Chemical Physics · Physics 2022-01-03 Kenneth Atz , Francesca Grisoni , Gisbert Schneider

Intermediate feature representations represent the backbone for the expressivity and adaptability of deep neural networks. However, their geometric structure remains poorly understood. In this submission, we provide indirect insights into…

Machine Learning · Computer Science 2026-05-13 Elias B. Krey , Nils Neukirch , Nils Strodthoff

Transfer learning under domain shift remains a fundamental challenge due to the divergence between source and target data manifolds. In this paper, we propose MAADA (Manifold-Aware Adversarial Data Augmentation), a novel framework that…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Hana Satou , Alan Mitkiy , Emma Collins , Finn Kingston

The Manifold Hypothesis is a widely accepted tenet of Machine Learning which asserts that nominally high-dimensional data are in fact concentrated near a low-dimensional manifold, embedded in high-dimensional space. This phenomenon is…

Methodology · Statistics 2025-03-24 Nick Whiteley , Annie Gray , Patrick Rubin-Delanchy

One of the biggest challenges in the research of generative adversarial networks (GANs) is assessing the quality of generated samples and detecting various levels of mode collapse. In this work, we construct a novel measure of performance…

Machine Learning · Computer Science 2018-06-12 Valentin Khrulkov , Ivan Oseledets

Automated machine learning (AutoML) has seen a resurgence in interest with the boom of deep learning over the past decade. In particular, Neural Architecture Search (NAS) has seen significant attention throughout the AutoML research…

Neural and Evolutionary Computing · Computer Science 2020-09-23 Min Shi , David A. Wilson , Xingquan Zhu , Yu Huang , Yuan Zhuang , Jianxun Liu , Yufei Tang

We use machine learning to classify examples of braids (or flat braids) as trivial or non-trivial. Our ML takes form of supervised learning using neural networks (multilayer perceptrons). When they achieve good results in classification, we…

Geometric Topology · Mathematics 2023-07-25 Alexei Lisitsa , Mateo Salles , Alexei Vernitski

Despite the popularity of the manifold hypothesis, current manifold-learning methods do not support machine learning directly on the latent $d$-dimensional data manifold, as they primarily aim to perform dimensionality reduction into…

Machine Learning · Computer Science 2025-10-21 Ryan A. Robinett , Sophia A. Madejski , Kyle Ruark , Samantha J. Riesenfeld , Lorenzo Orecchia

It is often of interest to infer lower-dimensional structure underlying complex data. As a flexible class of non-linear structures, it is common to focus on Riemannian manifolds. Most existing manifold learning algorithms replace the…

Machine Learning · Statistics 2026-01-27 David B Dunson , Nan Wu
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