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This paper presents our experiments to quantify the manifolds learned by ML models (in our experiment, we use a GAN model) as they train. We compare the manifolds learned at each epoch to the real manifolds representing the real data. To…

Machine Learning · Computer Science 2024-03-11 Anupam Chaudhuri , Anj Simmons , Mohamed Abdelrazek

Deep generative networks have been widely used for learning mappings from a low-dimensional latent space to a high-dimensional data space. In many cases, data transformations are defined by linear paths in this latent space. However, the…

Machine Learning · Statistics 2019-12-06 Marissa Connor , Christopher Rozell

Graph matching aims to establish correspondences between vertices of graphs such that both the node and edge attributes agree. Various learning-based methods were recently proposed for finding correspondences between image key points based…

Computer Vision and Pattern Recognition · Computer Science 2022-05-10 Zhenzhang Ye , Tarun Yenamandra , Florian Bernard , Daniel Cremers

We train deep generative models on datasets of reflexive polytopes. This enables us to compare how well the models have picked up on various global properties of generated samples. Our datasets are complete in the sense that every single…

Machine Learning · Computer Science 2021-05-31 Bernt Ivar Utstøl Nødland

In recent years, convolutional neural networks have demonstrated promising performance in a variety of medical image segmentation tasks. However, when a trained segmentation model is deployed into the real clinical world, the model may not…

Image and Video Processing · Electrical Eng. & Systems 2020-12-24 Shuo Wang , Giacomo Tarroni , Chen Qin , Yuanhan Mo , Chengliang Dai , Chen Chen , Ben Glocker , Yike Guo , Daniel Rueckert , Wenjia Bai

Clustering and dimensionality reduction have been crucial topics in machine learning and computer vision. Clustering high-dimensional data has been challenging for a long time due to the curse of dimensionality. For that reason, a more…

Machine Learning · Statistics 2026-04-16 Sida Liu , Yangzi Guo , Mingyuan Wang

We propose a novel deep learning framework for animation video resequencing. Our system produces new video sequences by minimizing a perceptual distance of images from an existing animation video clip. To measure perceptual distance, we…

Graphics · Computer Science 2021-11-03 Charles C. Morace , Thi-Ngoc-Hanh Le , Sheng-Yi Yao , Shang-Wei Zhang , Tong-Yee Lee

This paper introduces a novel generative model for discrete distributions based on continuous normalizing flows on the submanifold of factorizing discrete measures. Integration of the flow gradually assigns categories and avoids issues of…

Machine Learning · Computer Science 2024-02-13 Bastian Boll , Daniel Gonzalez-Alvarado , Christoph Schnörr

Given large amount of real photos for training, Convolutional neural network shows excellent performance on object recognition tasks. However, the process of collecting data is so tedious and the background are also limited which makes it…

Computer Vision and Pattern Recognition · Computer Science 2022-05-10 Yida Wang , Weihong Deng

Manifolds discovered by machine learning models provide a compact representation of the underlying data. Geodesics on these manifolds define locally length-minimising curves and provide a notion of distance, which are key for reduced-order…

Machine Learning · Computer Science 2023-05-25 Daniel Kelshaw , Luca Magri

Many measurements or observations in computer vision and machine learning manifest as non-Euclidean data. While recent proposals (like spherical CNN) have extended a number of deep neural network architectures to manifold-valued data, and…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Xingjian Zhen , Rudrasis Chakraborty , Liu Yang , Vikas Singh

We present a novel metric for generative modeling evaluation, focusing primarily on generative networks. The method uses dendrograms to represent real and fake data, allowing for the divergence between training and generated samples to be…

Machine Learning · Computer Science 2023-11-29 Gustavo Sutter Carvalho , Moacir Antonelli Ponti

Neural models learn representations of high-dimensional data on low-dimensional manifolds. Multiple factors, including stochasticities in the training process, model architectures, and additional inductive biases, may induce different…

Machine Learning · Computer Science 2025-12-02 Hanlin Yu , Berfin Inal , Georgios Arvanitidis , Soren Hauberg , Francesco Locatello , Marco Fumero

Natural images may lie on a union of disjoint manifolds rather than one globally connected manifold, and this can cause several difficulties for the training of common Generative Adversarial Networks (GANs). In this work, we first show that…

Machine Learning · Computer Science 2019-01-14 Mahyar Khayatkhoei , Ahmed Elgammal , Maneesh Singh

Deep metric learning aims to construct an embedding space where samples of the same class are close to each other, while samples of different classes are far away from each other. Most existing deep metric learning methods attempt to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-24 Liu Pingping , Liu Zetong , Lang Yijun , Zhou Qiuzhan , Li Qingliang

We consider the problem of learning deep generative models from data. We formulate a method that generates an independent sample via a single feedforward pass through a multilayer perceptron, as in the recently proposed generative…

Machine Learning · Computer Science 2015-02-11 Yujia Li , Kevin Swersky , Richard Zemel

The geometry of generative models serves as the basis for interpolation, model inspection, and more. Unfortunately, most generative models lack a principal notion of geometry without restrictive assumptions on either the model or the data…

Machine Learning · Computer Science 2026-01-30 Frederik Möbius Rygaard , Shen Zhu , Yinzhu Jin , Søren Hauberg , Tom Fletcher

Building on the remarkable achievements in generative sampling of natural images, we propose an innovative challenge, potentially overly ambitious, which involves generating samples of entire multivariate time series that resemble images.…

We develop a framework for comparing data manifolds, aimed, in particular, towards the evaluation of deep generative models. We describe a novel tool, Cross-Barcode(P,Q), that, given a pair of distributions in a high-dimensional space,…

The ability to represent and compare machine learning models is crucial in order to quantify subtle model changes, evaluate generative models, and gather insights on neural network architectures. Existing techniques for comparing data…