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We present a novel geometric deep learning layer that leverages the varifold gradient (VariGrad) to compute feature vector representations of 3D geometric data. These feature vectors can be used in a variety of downstream learning tasks…

Computer Vision and Pattern Recognition · Computer Science 2023-08-23 Emmanuel Hartman , Emery Pierson

This document is a follow-up to our previous paper dedicated to a vectorized derivation of backpropagation in CNNs. Following the same principles and notations already put in place there, we now focus on transformer-based…

Machine Learning · Computer Science 2025-12-30 Laurent Boué

The Deep Learning (DL) community sees many novel topologies published each year. Achieving high performance on each new topology remains challenging, as each requires some level of manual effort. This issue is compounded by the…

Recent techniques have been successful in reconstructing surfaces as level sets of learned functions (such as signed distance fields) parameterized by deep neural networks. Many of these methods, however, learn only closed surfaces and are…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 David Palmer , Dmitriy Smirnov , Stephanie Wang , Albert Chern , Justin Solomon

Geometrical interpretations of deep learning models offer insightful perspectives into their underlying mathematical structures. In this work, we introduce a novel approach that leverages differential geometry, particularly concepts from…

Machine Learning · Computer Science 2026-05-04 Sung Moon Ko , Jaewan Lee , Sumin Lee , Soorin Yim , Kyunghoon Bae , Sehui Han

An important part of many machine learning workflows on graphs is vertex representation learning, i.e., learning a low-dimensional vector representation for each vertex in the graph. Recently, several powerful techniques for unsupervised…

Machine Learning · Computer Science 2019-01-23 Hooman Peiro Sajjad , Andrew Docherty , Yuriy Tyshetskiy

The characterization of dynamical processes in living systems provides important clues for their mechanistic interpretation and link to biological functions. Thanks to recent advances in microscopy techniques, it is now possible to…

Data Analysis, Statistics and Probability · Physics 2023-11-29 Jesús Pineda , Benjamin Midtvedt , Harshith Bachimanchi , Sergio Noé , Daniel Midtvedt , Giovanni Volpe , Carlo Manzo

Signature-based methods have recently gained significant traction in machine learning for sequential data. In particular, signature kernels have emerged as powerful discriminators and training losses for generative models on time-series,…

Machine Learning · Computer Science 2025-09-16 Daniil Shmelev , Cristopher Salvi

We present a novel physics-informed deep learning framework for solving steady-state incompressible flow on multiple sets of irregular geometries by incorporating two main elements: using a point-cloud based neural network to capture…

Fluid Dynamics · Physics 2022-10-28 Ali Kashefi , Tapan Mukerji

Inferring topological and geometrical information from data can offer an alternative perspective on machine learning problems. Methods from topological data analysis, e.g., persistent homology, enable us to obtain such information,…

Computer Vision and Pattern Recognition · Computer Science 2018-02-19 Christoph Hofer , Roland Kwitt , Marc Niethammer , Andreas Uhl

There is a need for open-source libraries in emission tomography that (i) use modern and popular backend code to encourage community contributions and (ii) offer support for the multitude of reconstruction techniques available in recent…

Recent deep learning models have moved beyond low-dimensional regular grids such as image, video, and speech, to high-dimensional graph-structured data, such as social networks, brain connections, and knowledge graphs. This evolution has…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-22 Lingxiao Ma , Zhi Yang , Youshan Miao , Jilong Xue , Ming Wu , Lidong Zhou , Yafei Dai

The representation of graphs is commonly based on the adjacency matrix concept. This formulation is the foundation of most algebraic and computational approaches to graph processing. The advent of deep learning language models offers a wide…

Artificial Intelligence · Computer Science 2025-12-16 Ezequiel Lopez-Rubio

This is an official pytorch implementation of Deep High-Resolution Representation Learning for Human Pose Estimation. In this work, we are interested in the human pose estimation problem with a focus on learning reliable high-resolution…

Computer Vision and Pattern Recognition · Computer Science 2019-02-26 Ke Sun , Bin Xiao , Dong Liu , Jingdong Wang

3D generative modeling is accelerating as the technology allowing the capture of geometric data is developing. However, the acquired data is often inconsistent, resulting in unregistered meshes or point clouds. Many generative learning…

Computer Vision and Pattern Recognition · Computer Science 2023-06-29 Thomas Besnier , Sylvain Arguillère , Emery Pierson , Mohamed Daoudi

Recent works on representation learning for graph structured data predominantly focus on learning distributed representations of graph substructures such as nodes and subgraphs. However, many graph analytics tasks such as graph…

Artificial Intelligence · Computer Science 2017-07-18 Annamalai Narayanan , Mahinthan Chandramohan , Rajasekar Venkatesan , Lihui Chen , Yang Liu , Shantanu Jaiswal

Graph Convolutional Representation (GCR) has achieved impressive performance for graph data representation. However, existing GCR is generally defined on the input fixed graph which may restrict the representation capacity and also be…

Computer Vision and Pattern Recognition · Computer Science 2021-10-14 Bo Jiang , Ziyan Zhang , Bin Luo

Representing and reasoning about 3D structures of macromolecules is emerging as a distinct challenge in machine learning. Here, we extend recent work on geometric vector perceptrons and apply equivariant graph neural networks to a wide…

Machine Learning · Computer Science 2021-07-14 Bowen Jing , Stephan Eismann , Pratham N. Soni , Ron O. Dror

Despite significant progress of applying deep learning methods to the field of content-based image retrieval, there has not been a software library that covers these methods in a unified manner. In order to fill this gap, we introduce…

Information Retrieval · Computer Science 2020-08-06 Benyi Hu , Ren-Jie Song , Xiu-Shen Wei , Yazhou Yao , Xian-Sheng Hua , Yuehu Liu

While deep learning has revolutionized the prediction of rigid protein structures, modelling the conformational ensembles of Intrinsically Disordered Proteins (IDPs) remains a key frontier. Current AI paradigms present a trade-off: Protein…

Biomolecules · Quantitative Biology 2025-12-19 Eoin Quinn , Marco Carobene , Jean Quentin , Sebastien Boyer , Miguel Arbesú , Oliver Bent
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