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Learning structured representations of the visual world in terms of objects promises to significantly improve the generalization abilities of current machine learning models. While recent efforts to this end have shown promising empirical…

Machine Learning · Computer Science 2023-05-24 Jack Brady , Roland S. Zimmermann , Yash Sharma , Bernhard Schölkopf , Julius von Kügelgen , Wieland Brendel

Symmetries impose structure on the Hilbert space of a quantum mechanical model. The mathematical units of this structure are the irreducible representations of symmetry groups and I consider how they function as conceptual units of…

Quantum Physics · Physics 2018-01-29 N. L. Harshman

In linear distance metric learning, we are given data in one Euclidean metric space and the goal is to find an appropriate linear map to another Euclidean metric space which respects certain distance conditions as much as possible. In this…

Machine Learning · Computer Science 2023-12-22 Meysam Alishahi , Anna Little , Jeff M. Phillips

Many loss functions in representation learning are invariant under a continuous symmetry transformation. For example, the loss function of word embeddings (Mikolov et al., 2013) remains unchanged if we simultaneously rotate all word and…

Machine Learning · Statistics 2020-07-21 Robert Bamler , Stephan Mandt

Visual localization techniques rely upon some underlying scene representation to localize against. These representations can be explicit such as 3D SFM map or implicit, such as a neural network that learns to encode the scene. The former…

Computer Vision and Pattern Recognition · Computer Science 2024-06-13 Maxime Pietrantoni , Gabriela Csurka , Martin Humenberger , Torsten Sattler

Representations in the auditory cortex might be based on mechanisms similar to the visual ventral stream; modules for building invariance to transformations and multiple layers for compositionality and selectivity. In this paper we propose…

Interpretability is essential in medical imaging to ensure that clinicians can comprehend and trust artificial intelligence models. Several approaches have been recently considered to encode attributes in the latent space to enhance its…

Image and Video Processing · Electrical Eng. & Systems 2024-08-27 Maxime Di Folco , Cosmin I. Bercea , Emily Chan , Julia A. Schnabel

Natural videos provide rich visual contents for self-supervised learning. Yet most existing approaches for learning spatio-temporal representations rely on manually trimmed videos, leading to limited diversity in visual patterns and limited…

Computer Vision and Pattern Recognition · Computer Science 2022-04-08 Zhiwu Qing , Shiwei Zhang , Ziyuan Huang , Yi Xu , Xiang Wang , Mingqian Tang , Changxin Gao , Rong Jin , Nong Sang

Photorealistic rendering of dynamic humans is an important ability for telepresence systems, virtual shopping, synthetic data generation, and more. Recently, neural rendering methods, which combine techniques from computer graphics and…

Computer Vision and Pattern Recognition · Computer Science 2020-12-21 Ziyan Wang , Timur Bagautdinov , Stephen Lombardi , Tomas Simon , Jason Saragih , Jessica Hodgins , Michael Zollhöfer

In addition to translational and rotational symmetries, clusters of identical interacting particles possess permutational symmetry. Coarse-grained models for such systems are instrumental in identifying metastable states, providing an…

Chemical Physics · Physics 2025-07-02 Jiaxin Yuan , Shashank Sule , Yeuk Yin Lam , Maria Cameron

Self-supervised learning converts raw perceptual data such as images to a compact space where simple Euclidean distances measure meaningful variations in data. In this paper, we extend this formulation by adding additional geometric…

Machine Learning · Computer Science 2023-06-27 Sharut Gupta , Joshua Robinson , Derek Lim , Soledad Villar , Stefanie Jegelka

Improving the interpretability of deep neural networks has recently gained increased attention, especially when the power of deep learning is leveraged to solve problems in physics. Interpretability helps us understand a model's ability to…

Sound · Computer Science 2023-10-12 Karim Helwani , Erfan Soltanmohammadi , Michael M. Goodwin

A key challenge of learning a visual representation for the 3D high fidelity geometry of dressed humans lies in the limited availability of the ground truth data (e.g., 3D scanned models), which results in the performance degradation of 3D…

Computer Vision and Pattern Recognition · Computer Science 2022-12-29 Yasamin Jafarian , Hyun Soo Park

Humans do not acquire perceptual abilities in the way we train machines. While machine learning algorithms typically operate on large collections of randomly-chosen, explicitly-labeled examples, human acquisition relies more heavily on…

Structuring latent representations in a hierarchical manner enables models to learn patterns at multiple levels of abstraction. However, most prevalent image understanding models focus on visual similarity, and learning visual hierarchies…

Computer Vision and Pattern Recognition · Computer Science 2026-01-07 Ziwei Wang , Sameera Ramasinghe , Chenchen Xu , Julien Monteil , Loris Bazzani , Thalaiyasingam Ajanthan

The Strong Platonic Representation Hypothesis suggests that representational convergence in artificial neural networks can be harnessed constructively: embeddings can be translated across models through a universal latent space without…

Neurons and Cognition · Quantitative Biology 2026-05-21 Pablo Marcos-Manchón , Rishi Jha , Lluís Fuentemilla

The compressive learning framework reduces the computational cost of training on large-scale datasets. In a sketching phase, the data is first compressed to a lightweight sketch vector, obtained by mapping the data samples through a…

Machine Learning · Statistics 2022-04-20 Vincent Schellekens , Laurent Jacques

Symmetry transformations induce invariances which are frequently described with deep latent variable models. In many complex domains, such as the chemical space, invariances can be observed, yet the corresponding symmetry transformation…

Machine Learning · Computer Science 2020-10-23 Mario Wieser , Sonali Parbhoo , Aleksander Wieczorek , Volker Roth

Representation learning from unlabeled data has been extensively studied in statistics, data science and signal processing with a rich literature on techniques for dimension reduction, compression, multi-dimensional scaling among others.…

Machine Learning · Computer Science 2025-10-03 Pascal Esser , Maximilian Fleissner , Debarghya Ghoshdastidar

When interacting in a three dimensional world, humans must estimate 3D structure from visual inputs projected down to two dimensional retinal images. It has been shown that humans use the persistence of object shape over motion-induced…

Neurons and Cognition · Quantitative Biology 2023-04-03 Marissa Connor , Bruno Olshausen , Christopher Rozell