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Geometric Deep Learning techniques have become a transformative force in the field of Computer-Aided Design (CAD), and have the potential to revolutionize how designers and engineers approach and enhance the design process. By harnessing…

Computational Geometry · Computer Science 2025-07-08 Negar Heidari , Alexandros Iosifidis

Hyperbolic space has become a popular choice of manifold for representation learning of various datatypes from tree-like structures and text to graphs. Building on the success of deep learning with prototypes in Euclidean and hyperspherical…

Machine Learning · Computer Science 2021-11-25 Mina Ghadimi Atigh , Martin Keller-Ressel , Pascal Mettes

Neural network models can now recognise images, understand text, translate languages, and play many human games at human or superhuman levels. These systems are highly abstracted, but are inspired by biological brains and use only…

Neurons and Cognition · Quantitative Biology 2019-03-06 Katherine R. Storrs , Nikolaus Kriegeskorte

Learning faithful graph representations as sets of vertex embeddings has become a fundamental intermediary step in a wide range of machine learning applications. The quality of the embeddings is usually determined by how well the geometry…

Machine Learning · Computer Science 2021-05-13 Federico López , Beatrice Pozzetti , Steve Trettel , Anna Wienhard

Learning representations of data is an important problem in statistics and machine learning. While the origin of learning representations can be traced back to factor analysis and multidimensional scaling in statistics, it has become a…

Machine Learning · Statistics 2019-11-27 Jianwen Xie , Ruiqi Gao , Erik Nijkamp , Song-Chun Zhu , Ying Nian Wu

Hyperdimensional computing (HDC) is an increasingly popular computing paradigm with immense potential for future intelligent applications. Although the main ideas already took form in the 1990s, HDC recently gained significant attention,…

Machine Learning · Computer Science 2023-11-15 Pieter Dewulf , Bernard De Baets , Michiel Stock

The last decade has witnessed an experimental revolution in data science and machine learning, epitomised by deep learning methods. Indeed, many high-dimensional learning tasks previously thought to be beyond reach -- such as computer…

Machine Learning · Computer Science 2021-05-04 Michael M. Bronstein , Joan Bruna , Taco Cohen , Petar Veličković

The cross-depiction problem is that of recognising visual objects regardless of whether they are photographed, painted, drawn, etc. It is a potentially significant yet under-researched problem. Emulating the remarkable human ability to…

Computer Vision and Pattern Recognition · Computer Science 2015-05-04 Hongping Cai , Qi Wu , Tadeo Corradi , Peter Hall

Euclidean deep learning is often inadequate for addressing real-world signals where the representation space is irregular and curved with complex topologies. Interpreting the geometric properties of such feature spaces has become paramount…

Computer Vision and Pattern Recognition · Computer Science 2024-09-12 Ramzan Basheer , Deepak Mishra

Recent success in training deep neural networks have prompted active investigation into the features learned on their intermediate layers. Such research is difficult because it requires making sense of non-linear computations performed by…

Machine Learning · Computer Science 2016-03-01 Yixuan Li , Jason Yosinski , Jeff Clune , Hod Lipson , John Hopcroft

Deep learning is currently being hyped as an almost magical tool for solving all kinds of difficult problems that computers have not been able to solve in the past. Particularly in the fields of computer vision and natural language…

Computational Physics · Physics 2024-05-01 Peter R. Wiecha

Artificial neural networks (ANNs) were inspired by the architecture and functions of the human brain and have revolutionised the field of artificial intelligence (AI). Inspired by studies on the latent geometry of the brain, in this…

Neurons and Cognition · Quantitative Biology 2025-02-04 Alexander Joseph , Nathan Francis , Meijke Balay

Scene classification, aiming at classifying a scene image to one of the predefined scene categories by comprehending the entire image, is a longstanding, fundamental and challenging problem in computer vision. The rise of large-scale…

Computer Vision and Pattern Recognition · Computer Science 2021-02-23 Delu Zeng , Minyu Liao , Mohammad Tavakolian , Yulan Guo , Bolei Zhou , Dewen Hu , Matti Pietikäinen , Li Liu

The widespread adoption of whole slide imaging has increased the demand for effective and efficient gigapixel image analysis. Deep learning is at the forefront of computer vision, showcasing significant improvements over previous…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Neofytos Dimitriou , Ognjen Arandjelović , Peter D Caie

Contemporary deep learning models have achieved impressive performance in image classification by primarily leveraging statistical regularities within large datasets, but they rarely incorporate structured insights drawn directly from…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Haobo Yang , Minghao Guo , Dequan Yang , Wenyu Wang

Objective functions that optimize deep neural networks play a vital role in creating an enhanced feature representation of the input data. Although cross-entropy-based loss formulations have been extensively used in a variety of supervised…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Deen Dayal Mohan , Bhavin Jawade , Srirangaraj Setlur , Venu Govindaraj

In cognitive decoding, researchers aim to characterize a brain region's representations by identifying the cognitive states (e.g., accepting/rejecting a gamble) that can be identified from the region's activity. Deep learning (DL) methods…

Machine Learning · Computer Science 2021-08-17 Armin W. Thomas , Christopher Ré , Russell A. Poldrack

Recently, Hyperbolic Spaces in the context of Non-Euclidean Deep Learning have gained popularity because of their ability to represent hierarchical data. We propose that it is possible to take advantage of the hierarchical characteristic…

Machine Learning · Computer Science 2021-02-11 Diego Lazcano , Nicolás Fredes , Werner Creixell

Hyperbolic representation learning has been widely used to extract implicit hierarchies within data, and recently it has found its way to the open-world classification task of Generalized Category Discovery (GCD). However, prior hyperbolic…

Machine Learning · Computer Science 2026-02-06 Mohamad Dalal , Thomas B. Moeslund , Joakim Bruslund Haurum

Scene graph representations enable structured visual understanding by modeling objects and their relationships, and have been widely used for multiview and 3D scene reasoning. Existing methods such as MSG learn scene graph embeddings in…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Liyang Wang , Zeyu Zhang , Hao Tang