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Feature representations derived from models pre-trained on large-scale datasets have shown their generalizability on a variety of audio analysis tasks. Despite this generalizability, however, task-specific features can outperform if…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-13 Yun-Ning Hung , Alexander Lerch

It is well-known that point sources with sufficient mutual distance can be reconstructed exactly from finitely many Fourier measurements by solving a convex optimization problem with Tikhonov-regularization (this property is sometimes…

Optimization and Control · Mathematics 2023-12-13 Martin Holler , Benedikt Wirth

Trustworthy machine learning necessitates meticulous regulation of model reliance on non-robust features. We propose a framework to delineate and regulate such features by attributing model predictions to the input. Within our approach,…

Machine Learning · Computer Science 2024-07-10 Peiyu Yang , Naveed Akhtar , Mubarak Shah , Ajmal Mian

In this paper the problem of recovering a regularized solution of the Fredholm integral equations of the first kind with Hermitian and square-integrable kernels, and with data corrupted by additive noise, is considered. Instead of using a…

Classical Analysis and ODEs · Mathematics 2007-05-23 Enrico De Micheli , Nicodemo Magnoli , Giovanni Alberto Viano

In complex-valued coherent inverse problems such as synthetic aperture radar (SAR), one may often have prior information only on the magnitude image which shows the features of interest such as strength of reflectivity. In contrast, there…

Numerical Analysis · Mathematics 2024-10-30 F. M. Watson , W. R. B. Lionheart , J. Hellier

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

Like in many other research fields, recent developments in computational imaging have focused on developing machine learning (ML) approaches to tackle its main challenges. To improve the performance of computational imaging algorithms,…

Image and Video Processing · Electrical Eng. & Systems 2024-08-16 Maximilian B. Kiss , Ander Biguri , Carola-Bibiane Schönlieb , K. Joost Batenburg , Felix Lucka

Here we discuss a regularized version of the factorization method for positive operators acting on a Hilbert Space. The factorization method is a qualitative reconstruction method that has been used to solve many inverse shape problems. In…

Analysis of PDEs · Mathematics 2022-04-11 Isaac Harris

Machine learning (ML) models have difficulty generalizing when the number of training class instances are numerically imbalanced. The problem of generalization in the face of data imbalance has largely been attributed to the lack of…

Machine Learning · Computer Science 2024-07-16 Damien A. Dablain , Nitesh V. Chawla

The Tianlai cylinder pathfinder is a radio interferometer array to test 21 cm intensity mapping techniques in the post-reionization era. It works in passive drift scan mode to survey the sky visible in the northern hemisphere. To deal with…

Instrumentation and Methods for Astrophysics · Physics 2024-12-10 Kaifeng Yu , Shifan Zuo , Fengquan Wu , Yougang Wang , Xuelei Chen

Diffusion models have emerged as a powerful framework for generative modeling. At the heart of the methodology is score matching: learning gradients of families of log-densities for noisy versions of the data distribution at different…

Machine Learning · Computer Science 2025-03-19 Ricardo Baptista , Agnimitra Dasgupta , Nikola B. Kovachki , Assad Oberai , Andrew M. Stuart

During a surface acquisition process using 3D scanners, noise is inevitable and an important step in geometry processing is to remove these noise components from these surfaces (given as points-set or triangulated mesh). The noise-removal…

Graphics · Computer Science 2022-05-16 Sunil Kumar Yadav , Martin Skrodzki , Eric Zimmermann , Konrad Polthier

One popular strategy for image denoising is to design a generalized regularization term that is capable of exploring the implicit prior underlying data observation. Convolutional neural networks (CNN) have shown the powerful capability to…

Image and Video Processing · Electrical Eng. & Systems 2019-10-22 Peng Liu , Xiaoxiao Zhou , Junyiyang Li , El Basha Mohammad D , Ruogu Fang

How to obtain the desirable representation of a 3D shape is a key challenge in 3D shape retrieval task. Most existing 3D shape retrieval methods focus on capturing shape representation with different neural network architectures, while the…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 Zhaoqun Li

We present a continuous formulation of machine learning, as a problem in the calculus of variations and differential-integral equations, in the spirit of classical numerical analysis. We demonstrate that conventional machine learning models…

Numerical Analysis · Mathematics 2020-10-02 Weinan E , Chao Ma , Lei Wu

Over-parameterized neural network models often lead to significant performance discrepancies between training and test sets, a phenomenon known as overfitting. To address this, researchers have proposed numerous regularization techniques…

Machine Learning · Computer Science 2025-01-27 RuiZhe Jiang , Haotian Lei

Regularization is crucial to the success of many practical deep learning models, in particular in a more often than not scenario where there are only a few to a moderate number of accessible training samples. In addition to weight decay,…

Machine Learning · Computer Science 2018-08-07 Che-Wei Huang , Shrikanth S. Narayanan

Deep convolutional neural networks have shown remarkable performance on various computer vision tasks, and yet, they are susceptible to picking up spurious correlations from the training signal. So called `shortcuts' can occur during…

Computer Vision and Pattern Recognition · Computer Science 2022-09-21 Mobarakol Islam , Ben Glocker

Deep neural networks (DNNs) experience significant performance degradation when processing noisy labels, primarily due to overfitting on mislabeled data. Current mainstream approaches attempt to mitigate this issue by passively filtering…

Computer Vision and Pattern Recognition · Computer Science 2026-05-21 Ningkang Peng , Jingyang Mao , Xiaoqian Peng , Peirong Ma , Xichen Yang , Weiguang Qu , Yanhui Gu

We propose aNETT (augmented NETwork Tikhonov) regularization as a novel data-driven reconstruction framework for solving inverse problems. An encoder-decoder type network defines a regularizer consisting of a penalty term that enforces…

Numerical Analysis · Mathematics 2021-02-09 Daniel Obmann , Linh Nguyen , Johannes Schwab , Markus Haltmeier
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