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In this paper, we empirically reveal an invariance over images-images share a set of one-way wave equations with latent speeds. Each image is uniquely associated with a solution to these wave equations, allowing for its reconstruction with…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Yinpeng Chen , Dongdong Chen , Xiyang Dai , Mengchen Liu , Yinan Feng , Youzuo Lin , Lu Yuan , Zicheng Liu

We tackle the task of synthesizing novel views of an object given a few input images and associated camera viewpoints. Our work is inspired by recent 'geometry-free' approaches where multi-view images are encoded as a (global) set-latent…

Computer Vision and Pattern Recognition · Computer Science 2023-01-12 Naveen Venkat , Mayank Agarwal , Maneesh Singh , Shubham Tulsiani

Capturing the temporal evolution of Gaussian properties such as position, rotation, and scale is a challenging task due to the vast number of time-varying parameters and the limited photometric data available, which generally results in…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Bingbing Hu , Yanyan Li , Rui Xie , Bo Xu , Haoye Dong , Junfeng Yao , Gim Hee Lee

Recently, 3D Gaussian Splatting (3D-GS) has achieved significant success in real-time, high-quality 3D scene rendering. However, it faces several challenges, including Gaussian redundancy, limited ability to capture view-dependent effects,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-16 Junxi Jin , Xiulai Li , Haiping Huang , Lianjun Liu , Yujie Sun , Logan Liu

We propose a novel Bayesian nonparametric method to learn translation-invariant relationships on non-Euclidean domains. The resulting graph convolutional Gaussian processes can be applied to problems in machine learning for which the input…

Machine Learning · Computer Science 2019-05-15 Ian Walker , Ben Glocker

Learning a common representation space between vision and language allows deep networks to relate objects in the image to the corresponding semantic meaning. We present a model that learns a shared Gaussian mixture representation imposing…

Computer Vision and Pattern Recognition · Computer Science 2022-06-15 Stephan Alaniz , Marco Federici , Zeynep Akata

Nonstationary Gaussian processes (GPs) are essential for modeling complex, locally heterogeneous spatial data. A common modeling approach is the spatial deformation method that warps the domain to recover isotropy. However, this static…

Machine Learning · Computer Science 2026-05-01 Minghao Gu , Weizhi Lin , Qiang Huang

In recent years, there has been rapid development in 3D generation models, opening up new possibilities for applications such as simulating the dynamic movements of 3D objects and customizing their behaviors. However, current 3D generative…

Computer Vision and Pattern Recognition · Computer Science 2024-06-12 Fangfu Liu , Hanyang Wang , Shunyu Yao , Shengjun Zhang , Jie Zhou , Yueqi Duan

Generative image codecs aim to optimize perceptual quality, producing realistic and detailed reconstructions. However, they often overlook a key property of human vision: our tendency to focus on particular aspects of a visual scene (e.g.,…

Image and Video Processing · Electrical Eng. & Systems 2026-04-02 Lucas Relic , Roberto Azevedo , Yang Zhang , Stephan Mandt , Markus Gross , Christopher Schroers

Self-supervised representation learning is heavily dependent on data augmentations to specify the invariances encoded in representations. Previous work has shown that applying diverse data augmentations is crucial to downstream performance,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-08 Philip Andrew Mansfield , Arash Afkanpour , Warren Richard Morningstar , Karan Singhal

The interpretation of complex high-dimensional data typically requires the use of dimensionality reduction techniques to extract explanatory low-dimensional representations. However, in many real-world problems these representations may not…

Machine Learning · Statistics 2019-06-25 Kaspar Märtens , Kieran R. Campbell , Christopher Yau

Learning features invariant to arbitrary transformations in the data is a requirement for any recognition system, biological or artificial. It is now widely accepted that simple cells in the primary visual cortex respond to features while…

Neural and Evolutionary Computing · Computer Science 2020-12-14 Jayanta K. Dutta , Bonny Banerjee

This work presents a first evaluation of using spatio-temporal receptive fields from a recently proposed time-causal spatio-temporal scale-space framework as primitives for video analysis. We propose a new family of video descriptors based…

Computer Vision and Pattern Recognition · Computer Science 2021-05-20 Ylva Jansson , Tony Lindeberg

We investigate the emergence of intuitive physics understanding in general-purpose deep neural network models trained to predict masked regions in natural videos. Leveraging the violation-of-expectation framework, we find that video…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Quentin Garrido , Nicolas Ballas , Mahmoud Assran , Adrien Bardes , Laurent Najman , Michael Rabbat , Emmanuel Dupoux , Yann LeCun

Despite the importance of image representations such as histograms of oriented gradients and deep Convolutional Neural Networks (CNN), our theoretical understanding of them remains limited. Aiming at filling this gap, we investigate three…

Computer Vision and Pattern Recognition · Computer Science 2015-06-23 Karel Lenc , Andrea Vedaldi

This paper presents an analysis of the orientation selectivity properties of idealized models of complex cells in terms of affine quasi quadrature measures, which combine the responses of idealized models of simple cells in terms of affine…

Neurons and Cognition · Quantitative Biology 2025-08-26 Tony Lindeberg

Designing a covariance function that represents the underlying correlation is a crucial step in modeling complex natural systems, such as climate models. Geospatial datasets at a global scale usually suffer from non-stationarity and…

Machine Learning · Statistics 2015-07-10 Chintan A. Dalal , Vladimir Pavlovic , Robert E. Kopp

Understanding the mechanisms underlying deep neural networks remains a fundamental challenge in machine learning and computer vision. One promising, yet only preliminarily explored approach, is feature inversion, which attempts to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-15 Jan Rathjens , Shirin Reyhanian , David Kappel , Laurenz Wiskott

Vision transformers (ViTs) that model an image as a sequence of partitioned patches have shown notable performance in diverse vision tasks. Because partitioning patches eliminates the image structure, to reflect the order of patches, ViTs…

Computer Vision and Pattern Recognition · Computer Science 2023-05-09 Bum Jun Kim , Hyeyeon Choi , Hyeonah Jang , Sang Woo Kim

Searching for a unified scene representation remains a research challenge in computer graphics. Traditional mesh-based representations are unsuitable for dense, fuzzy elements, and introduce additional complexity for filtering and…

Graphics · Computer Science 2024-09-24 Yang Zhou , Songyin Wu , Ling-Qi Yan