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Traditional explicit 3D representations, such as point clouds and meshes, demand significant storage to capture fine geometric details and require complex indexing systems for surface lookups, making functional representations an efficient,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Panagiotis Sapoutzoglou , George Terzakis , Georgios Floros , Maria Pateraki

Deep neural representations of 3D shapes as implicit functions have been shown to produce high fidelity models surpassing the resolution-memory trade-off faced by the explicit representations using meshes and point clouds. However, most…

Computer Vision and Pattern Recognition · Computer Science 2021-06-16 Rahul Venkatesh , Tejan Karmali , Sarthak Sharma , Aurobrata Ghosh , R. Venkatesh Babu , László A. Jeni , Maneesh Singh

We investigate the approximate dynamics of several differential equations when the solutions are restricted to a sparse subset of a given basis. The restriction is enforced at every time step by simply applying soft thresholding to the…

Numerical Analysis · Mathematics 2015-06-12 Hayden Schaeffer , Stanley Osher , Russel Caflisch , Cory Hauck

Sparse representation with respect to an overcomplete dictionary is often used when regularizing inverse problems in signal and image processing. In recent years, the Convolutional Sparse Coding (CSC) model, in which the dictionary consists…

Image and Video Processing · Electrical Eng. & Systems 2019-09-13 Dror Simon , Michael Elad

Sparse autoencoders (SAEs) have become a central tool for interpreting language models. However, two key SAE analyses that remain difficult to scale are (1) matching semantically similar features across multi-layers and (2) compressing…

Machine Learning · Computer Science 2026-05-28 Tue M. Cao , Nguyen Do , My T. Thai

Compressed sensing is a signal processing technique that allows for the reconstruction of a signal from a small set of measurements. The key idea behind compressed sensing is that many real-world signals are inherently sparse, meaning that…

Machine Learning · Computer Science 2025-09-16 Shane Stevenson , Maryam Sabagh

The success of the compressed sensing paradigm has shown that a substantial reduction in sampling and storage complexity can be achieved in certain linear and non-adaptive estimation problems. It is therefore an advisable strategy for…

Information Theory · Computer Science 2014-08-27 Peter Jung , Philipp Walk

We focus on tackling weakly supervised semantic segmentation with scribble-level annotation. The regularized loss has been proven to be an effective solution for this task. However, most existing regularized losses only leverage static…

Computer Vision and Pattern Recognition · Computer Science 2021-08-04 Bingfeng Zhang , Jimin Xiao , Yao Zhao

Recently, sparsity has become a key concept in various areas of applied mathematics, computer science, and electrical engineering. One application of this novel methodology is the separation of data, which is composed of two (or more)…

Numerical Analysis · Mathematics 2011-02-23 Gitta Kutyniok

Sparse coding refers to the pursuit of the sparsest representation of a signal in a typically overcomplete dictionary. From a Bayesian perspective, sparse coding provides a Maximum a Posteriori (MAP) estimate of the unknown vector under a…

Signal Processing · Electrical Eng. & Systems 2019-09-04 Dror Simon , Jeremias Sulam , Yaniv Romano , Yue M. Lu , Michael Elad

We propose a method to facilitate exploration and analysis of new large data sets. In particular, we give an unsupervised deep learning approach to learning a latent representation that captures semantic similarity in the data set. The core…

Computer Vision and Pattern Recognition · Computer Science 2020-12-23 Gary B Huang , Huei-Fang Yang , Shin-ya Takemura , Pat Rivlin , Stephen M Plaza

Mesh processing pipelines are mature, but adapting them to newer non-mesh surface representations -- which enable fast rendering with compact file size -- requires costly meshing or transmitting bulky meshes, negating their core benefits…

Graphics · Computer Science 2025-08-19 Yuta Noma , Zhecheng Wang , Chenxi Liu , Karan Singh , Alec Jacobson

Reproducing kernel Hilbert spaces (RKHSs) are key elements of many non-parametric tools successfully used in signal processing, statistics, and machine learning. In this work, we aim to address three issues of the classical RKHS based…

Signal Processing · Electrical Eng. & Systems 2019-05-09 Maria Peifer , Luiz. F. O. Chamon , Santiago Paternain , Alejandro Ribeiro

In this paper, we present a robust method for scene recognition, which leverages Convolutional Neural Networks (CNNs) features and Sparse Coding setting by creating a new representation of indoor scenes. Although CNNs highly benefited the…

Computer Vision and Pattern Recognition · Computer Science 2017-08-28 Guilherme Nascimento , Camila Laranjeira , Vinicius Braz , Anisio Lacerda , Erickson R. Nascimento

Sparse depth measurements are widely available in many applications such as augmented reality, visual inertial odometry and robots equipped with low cost depth sensors. Although such sparse depth samples work well for certain applications…

Computer Vision and Pattern Recognition · Computer Science 2021-12-13 Bing Zhou , Matias Aiskovich , Sinem Guven

Implicit surface representations, such as signed-distance functions, combined with deep learning have led to impressive models which can represent detailed shapes of objects with arbitrary topology. Since a continuous function is learned,…

Computer Vision and Pattern Recognition · Computer Science 2021-02-08 Edgar Tretschk , Ayush Tewari , Vladislav Golyanik , Michael Zollhöfer , Carsten Stoll , Christian Theobalt

Sparse representation-based classification (SRC) has been shown to achieve a high level of accuracy in face recognition (FR). However, matching faces captured in unconstrained video against a gallery with a single reference facial still per…

Computer Vision and Pattern Recognition · Computer Science 2019-10-08 Fania Mokhayeri , Eric Granger

We propose a fast, accurate matching method for estimating dense pixel correspondences across scenes. It is a challenging problem to estimate dense pixel correspondences between images depicting different scenes or instances of the same…

Computer Vision and Pattern Recognition · Computer Science 2015-04-24 Chao Zhang , Chunhua Shen , Tingzhi Shen

Data-driven discovery of governing equations from data remains a fundamental challenge in nonlinear dynamics. Although sparse regression techniques have advanced system identification, they struggle with rational functions and noise…

Machine Learning · Computer Science 2025-11-17 Zitong Zhang , Hao Sun

Accurate land cover segmentation of spectral images is challenging and has drawn widespread attention in remote sensing due to its inherent complexity. Although significant efforts have been made for developing a variety of methods, most of…

Image and Video Processing · Electrical Eng. & Systems 2021-11-30 Carlos Hinojosa , Esteban Vera , Henry Arguello