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Robust estimation is an important and timely research subject. In this paper, we investigate performance lower bounds on the mean-square-error (MSE) of any estimator for the Bayesian linear model, corrupted by a noise distributed according…

Methodology · Statistics 2017-07-12 Virginie Ollier , Rémy Boyer , Mohammed Nabil El Korso , Pascal Larzabal

Implicit degradation estimation-based blind super-resolution (IDE-BSR) hinges on extracting the implicit degradation representation (IDR) of the LR image and adapting it to LR image features to guide HR detail restoration. Although IDE-BSR…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Jiang Yuan , JI Ma , Bo Wang , Guanzhou Ke , Weiming Hu

Sparse Autoencoders (SAEs) are widely employed for mechanistic interpretability and model steering. Within this context, steering is by design performed by means of decoding altered SAE intermediate representations. This procedure…

Machine Learning · Computer Science 2025-12-08 Antonio Bărbălau , Cristian Daniel Păduraru , Teodor Poncu , Alexandru Tifrea , Elena Burceanu

Compressed sensing is an important problem in many fields of science and engineering. It reconstructs signals by finding sparse solutions to underdetermined linear equations. In this work we propose a deterministic and non-parametric…

Signal Processing · Electrical Eng. & Systems 2017-12-19 Mutian Shen , Pan Zhang , Hai-Jun Zhou

Sparse Representation (SR) techniques encode the test samples into a sparse linear combination of all training samples and then classify the test samples into the class with the minimum residual. The classification of SR techniques depends…

Computer Vision and Pattern Recognition · Computer Science 2019-07-01 Chun-Mei Feng , Yong Xu , Zuoyong Li , Jian Yang

Compressed sensing is a technique for finding sparse solutions to underdetermined linear systems. This technique relies on properties of the sensing matrix such as the restricted isometry property. Sensing matrices that satisfy the…

Computational Complexity · Computer Science 2011-10-18 Pascal Koiran , Anastasios Zouzias

Echo Planar Imaging (EPI) is widely used for its rapid acquisition but suffers from severe geometric distortions due to B0 inhomogeneities, particularly along the phase encoding direction. Existing methods follow a two-step process:…

Image and Video Processing · Electrical Eng. & Systems 2025-07-25 Wenqi Huang , Nan Wang , Congyu Liao , Yimeng Lin , Mengze Gao , Daniel Rueckert , Kawin Setsompop

Sparse representation-based classification (SRC), proposed by Wright et al., seeks the sparsest decomposition of a test sample over the dictionary of training samples, with classification to the most-contributing class. Because it assumes…

Computer Vision and Pattern Recognition · Computer Science 2018-06-05 Chelsea Weaver , Naoki Saito

This article revisits the problem of Bayesian shape-restricted inference in the light of a recently developed approximate Gaussian process that admits an equivalent formulation of the shape constraints in terms of the basis coefficients. We…

Methodology · Statistics 2019-02-14 Pallavi Ray , Debdeep Pati , Anirban Bhattacharya

The Immersed Boundary (IB) method is a widely-used numerical methodology for the simulation of fluid-structure interaction problems. The IB method utilizes an Eulerian discretization for the fluid equations of motion while maintaining a…

Numerical Analysis · Mathematics 2012-10-09 Varun Shankar , Grady B. Wright , Aaron L. Fogelson , R. M. Kirby

In this contribution we device and analyze improved variants of the non-conforming dual approach for trust-region reduced basis (TR-RB) approximation of PDE-constrained parameter optimization that has recently been introduced in [Keil et…

Numerical Analysis · Mathematics 2022-03-22 Stefan Banholzer , Tim Keil , Luca Mechelli , Mario Ohlberger , Felix Schindler , Stefan Volkwein

Vision foundation models (FMs) achieve state-of-the-art performance in medical imaging. However, they encode information in abstract latent representations that clinicians cannot interrogate or verify. The goal of this study is to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Philipp Wesp , Robbie Holland , Vasiliki Sideri-Lampretsa , Sergios Gatidis

We propose a framework for learned image and video compression using the generative sparse visual representation (SVR) guided by fidelity-preserving controls. By embedding inputs into a discrete latent space spanned by learned visual…

Image and Video Processing · Electrical Eng. & Systems 2024-04-10 Wei Jiang , Wei Wang

Two reconstruction methods of Electrical Impedance Tomography (EIT) are numerically compared for nonsmooth conductivities in the plane based on the use of complex geometrical optics (CGO) solutions to D-bar equations involving the global…

Analysis of PDEs · Mathematics 2015-06-17 Kari Astala , Lassi Päivärinta , Juan Manuel Reyes , Samuli Siltanen

This paper proposes a low-computational Bayesian algorithm for noisy sparse recovery (NSR), called BHT-BP. In this framework, we consider an LDPC-like measurement matrices which has a tree-structured property, and additive white Gaussian…

Information Theory · Computer Science 2015-01-20 Jaewook Kang , Heung-No Lee , Kiseon Kim

Several recent methods for tomographic reconstruction of stress and strain fields from Bragg-edge neutron strain images have been proposed in the literature. This paper presents an extension of a previously demonstrated approach based on…

Instrumentation and Detectors · Physics 2019-09-26 J. N. Hendriks , A. W. T. Gregg , C. M. Wensrich , W. Wills

In this work, we present Enhanced Representation-Based Sampling (ERBS), a novel enhanced sampling method designed to generate structurally diverse training datasets for machine-learned interatomic potentials. ERBS automatically identifies…

Chemical Physics · Physics 2026-01-23 Moritz René Schäfer , Johannes Kästner

We introduce a modality-agnostic neural compression algorithm based on a functional view of data and parameterised as an Implicit Neural Representation (INR). Bridging the gap between latent coding and sparsity, we obtain compact latent…

Machine Learning · Statistics 2023-04-10 Jonathan Richard Schwarz , Jihoon Tack , Yee Whye Teh , Jaeho Lee , Jinwoo Shin

In this work, we investigate the use of spatio-temporalImplicit Neural Representations (INRs) for dynamic X-ray computed tomography (XCT) reconstruction under interlaced acquisition schemes. The proposed approach combines ADMM-based…

Image and Video Processing · Electrical Eng. & Systems 2025-10-13 Mathias Boulanger , Ericmoore Jossou

Continuous image super-resolution (SR) recently receives a lot of attention from researchers, for its practical and flexible image scaling for various displays. Local implicit image representation is one of the methods that can map the…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Zhi-Song Liu , Zijia Wang , Zhen Jia