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A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

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

Implicit neural representation (INR) has emerged as a promising solution for encoding volumetric data, offering continuous representations and seamless compatibility with the volume rendering pipeline. However, optimizing an INR network…

Computer Vision and Pattern Recognition · Computer Science 2025-02-17 Maizhe Yang , Kaiyuan Tang , Chaoli Wang

This paper proposes a novel deep subspace clustering approach which uses convolutional autoencoders to transform input images into new representations lying on a union of linear subspaces. The first contribution of our work is to insert…

Computer Vision and Pattern Recognition · Computer Science 2020-01-24 Mohsen Kheirandishfard , Fariba Zohrizadeh , Farhad Kamangar

Despite the empirical success of knowledge distillation, current state-of-the-art methods are computationally expensive to train, which makes them difficult to adopt in practice. To address this problem, we introduce two distinct…

Computer Vision and Pattern Recognition · Computer Science 2022-10-10 Roy Miles , Adrian Lopez Rodriguez , Krystian Mikolajczyk

Generative processes in biology and other fields often produce data that can be regarded as resulting from a composition of basic features. Here we present an unsupervised method based on autoencoders for inferring these basic features of…

Quantitative Methods · Quantitative Biology 2019-10-04 Matteo Negri , Davide Bergamini , Carlo Baldassi , Riccardo Zecchina , Christoph Feinauer

Large-scale multi-relational embedding refers to the task of learning the latent representations for entities and relations in large knowledge graphs. An effective and scalable solution for this problem is crucial for the true success of…

Machine Learning · Computer Science 2017-07-07 Hanxiao Liu , Yuexin Wu , Yiming Yang

Representation learning constructs low-dimensional representations to summarize essential features of high-dimensional data. This learning problem is often approached by describing various desiderata associated with learned representations;…

Machine Learning · Statistics 2022-02-14 Yixin Wang , Michael I. Jordan

Image generating neural networks are mostly viewed as black boxes, where any change in the input can have a number of globally effective changes on the output. In this work, we propose a method for learning disentangled representations to…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Maren Awiszus , Hanno Ackermann , Bodo Rosenhahn

Deep neural networks, when optimized with sufficient data, provide accurate representations of high-dimensional functions; in contrast, function approximation techniques that have predominated in scientific computing do not scale well with…

Data Analysis, Statistics and Probability · Physics 2021-03-15 Grant M. Rotskoff , Andrew R. Mitchell , Eric Vanden-Eijnden

Data assimilation is crucial in a wide range of applications, but it often faces challenges such as high computational costs due to data dimensionality and incomplete understanding of underlying mechanisms. To address these challenges, this…

Machine Learning · Computer Science 2024-03-26 Zhuoyuan Li , Bin Dong , Pingwen Zhang

3D generative models have been recently successful in generating realistic 3D objects in the form of point clouds. However, most models do not offer controllability to manipulate the shape semantics of component object parts without…

Computer Vision and Pattern Recognition · Computer Science 2022-11-18 Amaya Dharmasiri , Dinithi Dissanayake , Mohamed Afham , Isuru Dissanayake , Ranga Rodrigo , Kanchana Thilakarathna

Integrating invariance into data representations is a principled design in intelligent systems and web applications. Representations play a fundamental role, where systems and applications are both built on meaningful representations of…

Artificial Intelligence · Computer Science 2024-12-09 Shuren Qi , Fei Wang , Tieyong Zeng , Fenglei Fan

Identifying new disease-related patterns in medical imaging data with the help of machine learning enlarges the vocabulary of recognizable findings. This supports diagnostic and prognostic assessment. However, image appearance varies not…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Jeanny Pan , Philipp Seeböck , Christoph Fürböck , Svitlana Pochepnia , Jennifer Straub , Lucian Beer , Helmut Prosch , Georg Langs

Huge amount of data is the key of the success of deep learning, however, redundant information impairs the generalization ability of the model and increases the burden of calculation. Dataset Distillation (DD) compresses the original…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Hangyang Kong , Wenbo Zhou , Xuxiang He , Xiaotong Tu , Xinghao Ding

Deep Reinforcement Learning has shown its ability in solving complicated problems directly from high-dimensional observations. However, in end-to-end settings, Reinforcement Learning algorithms are not sample-efficient and requires long…

Machine Learning · Computer Science 2021-07-06 Nicolò Botteghi , Mannes Poel , Beril Sirmacek , Christoph Brune

Large collections of high-dimensional data have become nearly ubiquitous across many academic fields and application domains, ranging from biology to the humanities. Since working directly with high-dimensional data poses challenges, the…

An ability to model a generative process and learn a latent representation for speech in an unsupervised fashion will be crucial to process vast quantities of unlabelled speech data. Recently, deep probabilistic generative models such as…

Computation and Language · Computer Science 2017-09-25 Wei-Ning Hsu , Yu Zhang , James Glass

Mining graph data has become a popular research topic in computer science and has been widely studied in both academia and industry given the increasing amount of network data in the recent years. However, the huge amount of network data…

Machine Learning · Computer Science 2020-01-03 Wenwu Zhu , Xin Wang , Peng Cui

Deep generative models like variational autoencoders approximate the intrinsic geometry of high dimensional data manifolds by learning low-dimensional latent-space variables and an embedding function. The geometric properties of these…

Computer Vision and Pattern Recognition · Computer Science 2019-02-20 Ankita Shukla , Shagun Uppal , Sarthak Bhagat , Saket Anand , Pavan Turaga