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Causal learning has long concerned itself with the accurate recovery of underlying causal mechanisms. Such causal modelling enables better explanations of out-of-distribution data. Prior works on causal learning assume that the high-level…

In hyperspectral sparse unmixing, a successful approach employs spectral bundles to address the variability of the endmembers in the spatial domain. However, the regularization penalties usually employed aggregate substantial computational…

Computer Vision and Pattern Recognition · Computer Science 2024-01-25 Luciano Carvalho Ayres , Ricardo Augusto Borsoi , José Carlos Moreira Bermudez , Sérgio José Melo de Almeida

This paper proposes a subspace decomposition method based on an over-complete dictionary in sparse representation, called "Sparse Signal Subspace Decomposition" (or 3SD) method. This method makes use of a novel criterion based on the…

Machine Learning · Statistics 2016-10-28 Hong Sun , Chengwei Sang , Didier Le Ruyet

Noisy label learning aims to train deep neural networks using a large amount of samples with noisy labels, whose main challenge comes from how to deal with the inaccurate supervision caused by wrong labels. Existing works either take the…

Machine Learning · Computer Science 2024-04-03 Sihan Bai

Uncertainty quantification is a crucial step of cosmological mass-mapping that is often ignored. Suggested methods are typically only approximate or make strong assumptions of Gaussianity of the shear field. Probabilistic sampling methods,…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-22 Augustin Marignier , Thomas Kitching , Jason D. McEwen , Ana M. G. Ferreira

Conformal Prediction (CP) quantifies network uncertainty by building a small prediction set with a pre-defined probability that the correct class is within this set. In this study we tackle the problem of CP calibration based on a…

Machine Learning · Computer Science 2024-05-22 Coby Penso , Jacob Goldberger

Probabilistic (or Bayesian) modeling and learning offers interesting possibilities for systematic representation of uncertainty using probability theory. However, probabilistic learning often leads to computationally challenging problems.…

Computation · Statistics 2018-03-14 Andreas Svensson , Thomas B. Schön , Fredrik Lindsten

One of the most important problems in regression-based error model is modeling the complex representation error caused by various corruptions and environment changes in images. For example, in robust face recognition, images are often…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Miaohua Zhang , Yongsheng Gao , Jun Zhou

We introduce generalized spatially coupled parallel concatenated codes (GSC-PCCs), a class of spatially coupled turbo-like codes obtained by coupling parallel concatenated codes (PCCs) with a fraction of information bits repeated before the…

Information Theory · Computer Science 2021-05-04 Min Qiu , Xiaowei Wu , Jinhong Yuan , Alexandre Graell i Amat

The convolutional sparse model has recently gained increasing attention in the signal and image processing communities, and several methods have been proposed for solving the pursuit problem emerging from it -- in particular its convex…

Information Theory · Computer Science 2017-02-23 Vardan Papyan , Jeremias Sulam , Michael Elad

Variable clustering is important for explanatory analysis. However, only few dedicated methods for variable clustering with the Gaussian graphical model have been proposed. Even more severe, small insignificant partial correlations due to…

Applications · Statistics 2018-06-18 Daniel Andrade , Akiko Takeda , Kenji Fukumizu

Modeling real-world systems requires accounting for noise - whether it arises from unpredictable fluctuations in financial markets, irregular rhythms in biological systems, or environmental variability in ecosystems. While the behavior of…

Machine Learning · Computer Science 2026-04-08 Matteo Bosso , Giovanni Franzese , Kushal Swamy , Maarten Theulings , Alejandro M. Aragón , Farbod Alijani

The Collective Graphical Model (CGM) models a population of independent and identically distributed individuals when only collective statistics (i.e., counts of individuals) are observed. Exact inference in CGMs is intractable, and previous…

Machine Learning · Computer Science 2014-05-21 Li-Ping Liu , Daniel Sheldon , Thomas G. Dietterich

This work proposes convolutional-sparse-coded dynamic mode decomposition (CSC-DMD) by unifying extended dynamic mode decomposition (EDMD) and convolutional sparse coding. EDMD is a data driven analysis method for describing a nonlinear…

Signal Processing · Electrical Eng. & Systems 2019-02-21 Yuhei Kaneko , Shogo Muramatsu , Hiroyasu Yasuda , Kiyoshi Hayasaka , Yu Otake , Shunsuke Ono , Masahiro Yukawa

Convolutional sparse representations are a form of sparse representation with a structured, translation invariant dictionary. Most convolutional dictionary learning algorithms to date operate in batch mode, requiring simultaneous access to…

Machine Learning · Computer Science 2018-06-19 Jialin Liu , Cristina Garcia-Cardona , Brendt Wohlberg , Wotao Yin

Image enhancement approaches often assume that the noise is signal independent, and approximate the degradation model as zero-mean additive Gaussian. However, this assumption does not hold for biomedical imaging systems where sensor-based…

Image and Video Processing · Electrical Eng. & Systems 2023-04-10 Calvin-Khang Ta , Abhishek Aich , Akash Gupta , Amit K. Roy-Chowdhury

Compressed sensing (CS) is on recovery of high dimensional signals from their low dimensional linear measurements under a sparsity prior and digital quantization of the measurement data is inevitable in practical implementation of CS…

Information Theory · Computer Science 2016-08-24 Zai Yang , Lihua Xie , Cishen Zhang

We propose a system for visual scene analysis and recognition based on encoding the sparse, latent feature-representation of an image into a high-dimensional vector that is subsequently factorized to parse scene content. The sparse feature…

Computer Vision and Pattern Recognition · Computer Science 2024-07-01 Christopher J. Kymn , Sonia Mazelet , Annabel Ng , Denis Kleyko , Bruno A. Olshausen

One of the key challenges in sensor networks is the extraction of information by fusing data from a multitude of distinct, but possibly unreliable sensors. Recovering information from the maximum number of dependable sensors while…

Machine Learning · Statistics 2015-05-20 Vassilis Kekatos , Georgios B. Giannakis

We propose a new \textit{quadratic programming-based} method of approximating a nonstandard density using a multivariate Gaussian density. Such nonstandard densities usually arise while developing posterior samplers for unobserved…

Econometrics · Economics 2023-02-14 Abhishek K. Umrawal , Joshua C. C. Chan