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Establishing associations between the structure and the generalisation ability of deep neural networks (DNNs) is a challenging task in modern machine learning. Producing solutions to this challenge will bring progress both in the…

Machine Learning · Computer Science 2020-05-01 Mehmet Süzen , J. J. Cerdà , Cornelius Weber

Support estimation (SE) of a sparse signal refers to finding the location indices of the non-zero elements in a sparse representation. Most of the traditional approaches dealing with SE problem are iterative algorithms based on greedy…

Signal Processing · Electrical Eng. & Systems 2026-05-06 Mehmet Yamac , Mete Ahishali , Serkan Kiranyaz , Moncef Gabbouj

Recent neural network strategies for source separation attempt to model audio signals by processing their waveforms directly. Mean squared error (MSE) that measures the Euclidean distance between waveforms of denoised speech and the…

Audio and Speech Processing · Electrical Eng. & Systems 2018-06-05 Shrikant Venkataramani , Ryley Higa , Paris Smaragdis

Empirical Bayes estimators are based on minimizing the average risk with the hyper-parameters in the weighting function being estimated from observed data. The performance of an empirical Bayes estimator is typically evaluated by its mean…

Statistics Theory · Mathematics 2025-03-18 Yue Ju , Bo Wahlberg , Håkan Hjalmarsson

Standard Adjacency Spectral Embedding (ASE) relies on a global low-rank assumption often incompatible with the sparse, transitive structure of real-world networks, causing local geometric features to be 'smeared'. To address this, we…

Machine Learning · Statistics 2026-03-13 Hannah Sansford , Nick Whiteley , Patrick Rubin-Delanchy

Anomaly detection and localization in medical imaging remain critical challenges in healthcare. This paper introduces Spatial-MSMA (Multiscale Score Matching Analysis), a novel unsupervised method for anomaly localization in volumetric…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Ahsan Mahmood , Junier Oliva , Martin Styner

Feature matching is a crucial task in the field of computer vision, which involves finding correspondences between images. Previous studies achieve remarkable performance using learning-based feature comparison. However, the pervasive…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Yesheng Zhang , Xu Zhao

In a given classification task, the accuracy of the learner is often hampered by finiteness of the training set, high-dimensionality of the feature space and severe overlap between classes. In the context of interpretable learners, with…

Machine Learning · Computer Science 2025-04-03 Marco Canducci , Lida Abdi , Alessandro Prete , Roland J. Veen , Michael Biehl , Wiebke Arlt , Peter Tino

Secondary electron (SE) imaging techniques, such as scanning electron microscopy and helium ion microscopy (HIM), use electrons emitted by a sample in response to a focused beam of charged particles incident at a grid of raster scan…

Signal Processing · Electrical Eng. & Systems 2026-03-12 Vaibhav Choudhary , Akshay Agarwal , Vivek K Goyal

Despite the simplicity and intuitive interpretation of Minimum Mean Squared Error (MMSE) estimators, their effectiveness in certain scenarios is questionable. Indeed, minimizing squared errors on average does not provide any form of…

Optimization and Control · Mathematics 2019-12-09 Dionysios S. Kalogerias , Luiz F. O. Chamon , George J. Pappas , Alejandro Ribeiro

We propose the Signal Dice Similarity Coefficient (SDSC), a structure-aware metric function for time series self-supervised representation learning. Most Self-Supervised Learning (SSL) methods for signals commonly adopt distance-based…

Machine Learning · Computer Science 2026-01-30 Jeyoung Lee , Hochul Kang

Data imbalance exists ubiquitously in real-world visual regressions, e.g., age estimation and pose estimation, hurting the model's generalizability and fairness. Thus, imbalanced regression gains increasing research attention recently.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-31 Jiawei Ren , Mingyuan Zhang , Cunjun Yu , Ziwei Liu

Consistency learning using input image, feature, or network perturbations has shown remarkable results in semi-supervised semantic segmentation, but this approach can be seriously affected by inaccurate predictions of unlabelled training…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Yuyuan Liu , Yu Tian , Yuanhong Chen , Fengbei Liu , Vasileios Belagiannis , Gustavo Carneiro

Deep learning approaches have shown promising performance for compressed sensing-based Magnetic Resonance Imaging. While deep neural networks trained with mean squared error (MSE) loss functions can achieve high peak signal to noise ratio,…

Computer Vision and Pattern Recognition · Computer Science 2018-07-02 Maximilian Seitzer , Guang Yang , Jo Schlemper , Ozan Oktay , Tobias Würfl , Vincent Christlein , Tom Wong , Raad Mohiaddin , David Firmin , Jennifer Keegan , Daniel Rueckert , Andreas Maier

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

Image-generating machine learning models are typically trained with loss functions based on distance in the image space. This often leads to over-smoothed results. We propose a class of loss functions, which we call deep perceptual…

Machine Learning · Computer Science 2016-02-10 Alexey Dosovitskiy , Thomas Brox

We study the excess mean square error (EMSE) above the minimum mean square error (MMSE) in large linear systems where the posterior mean estimator (PME) is evaluated with a postulated prior that differs from the true prior of the input…

Information Theory · Computer Science 2015-05-18 Yanting Ma , Dror Baron , Ahmad Beirami

Despite the advances of deep learning in specific tasks using images, the principled assessment of image fidelity and similarity is still a critical ability to develop. As it has been shown that Mean Squared Error (MSE) is insufficient for…

Image and Video Processing · Electrical Eng. & Systems 2019-08-27 Benyamin Ghojogh , Fakhri Karray , Mark Crowley

Automated anomaly detection is essential for managing information and communications technology (ICT) systems to maintain reliable services with minimum burden on operators. For detecting varying and continually emerging anomalies as…

Machine Learning · Statistics 2018-12-19 Yasuhiro Ikeda , Keisuke Ishibashi , Yuusuke Nakano , Keishiro Watanabe , Ryoichi Kawahara

Mean squared error (MSE) and $\ell_p$ norms have largely dominated the measurement of loss in neural networks due to their simplicity and analytical properties. However, when used to assess visual information loss, these simple norms are…

Image and Video Processing · Electrical Eng. & Systems 2020-07-13 Li-Heng Chen , Christos G. Bampis , Zhi Li , Andrey Norkin , Alan C. Bovik