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This work addresses the accurate and efficient simulation of physical phenomena governed by parametric Partial Differential Equations (PDEs) characterized by varying boundary conditions, where parametric instances modify not only the…

Numerical Analysis · Mathematics 2026-03-10 Francesco Della Santa , Sandra Pieraccini , Maria Strazzullo

We propose a mathematical framework for designing robust networks of coupled phase-oscillators by leveraging a vulnerability measure proposed by Tyloo et. al that quantifies how much a small perturbation to a phase-oscillator's natural…

Optimization and Control · Mathematics 2023-08-14 Shriya V. Nagpal , Gokul G. Nair , Francesca Parise , C. Lindsay Anderson

Obtaining models that capture imaging markers relevant for disease progression and treatment monitoring is challenging. Models are typically based on large amounts of data with annotated examples of known markers aiming at automating…

Computer Vision and Pattern Recognition · Computer Science 2017-03-20 Thomas Schlegl , Philipp Seeböck , Sebastian M. Waldstein , Ursula Schmidt-Erfurth , Georg Langs

Deep learning is the mainstream technique for many machine learning tasks, including image recognition, machine translation, speech recognition, and so on. It has outperformed conventional methods in various fields and achieved great…

Machine Learning · Computer Science 2018-06-01 Na Lei , Zhongxuan Luo , Shing-Tung Yau , David Xianfeng Gu

In the absence of prior knowledge, ordinal embedding methods obtain new representation for items in a low-dimensional Euclidean space via a set of quadruple-wise comparisons. These ordinal comparisons often come from human annotators, and…

Machine Learning · Computer Science 2018-12-06 Ke Ma , Qianqian Xu , Zhiyong Yang , Xiaochun Cao

In software, a vulnerability is a defect in a program that attackers might utilize to acquire unauthorized access, alter system functions, and acquire information. These vulnerabilities arise from programming faults, design flaws, incorrect…

Software Engineering · Computer Science 2024-11-28 Md. Fahim Sultan , Tasmin Karim , Md. Shazzad Hossain Shaon , Mohammad Wardat , Mst Shapna Akter

Channel estimation poses significant challenges in millimeter-wave massive multiple-input multiple-output systems, especially when the base station has fewer radio-frequency chains than antennas. To address this challenge, one promising…

Information Theory · Computer Science 2024-08-07 Pengxia Wu , Julian Cheng , Yonina C. Eldar , John M. Cioffi

Generative Adversarial Networks (GANs) have been shown to be powerful and flexible priors when solving inverse problems. One challenge of using them is overcoming representation error, the fundamental limitation of the network in…

Machine Learning · Computer Science 2022-04-12 Sean Gunn , Jorio Cocola , Paul Hand

Face Recognition (FR) tasks have made significant progress with the advent of Deep Neural Networks, particularly through margin-based triplet losses that embed facial images into high-dimensional feature spaces. During training, these…

Computer Vision and Pattern Recognition · Computer Science 2025-07-16 Pierrick Leroy , Antonio Mastropietro , Marco Nurisso , Francesco Vaccarino

Images degraded by geometric distortions pose a significant challenge to imaging and computer vision tasks such as object recognition. Deep learning-based imaging models usually fail to give accurate performance for geometrically distorted…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Han Zhang , Qiguang Chen , Lok Ming Lui

We propose a Finance-Informed Neural Network (FINN) for option pricing and hedging that integrates financial theory directly into machine learning. Instead of training on observed option prices, FINN is learned through a self-supervised…

Machine Learning · Computer Science 2026-03-13 Amine M. Aboussalah , Xuanze Li , Cheng Chi , Raj Patel

Deep neural networks are workhorse models in machine learning with multiple layers of non-linear functions composed in series. Their loss function is highly non-convex, yet empirically even gradient descent minimisation is sufficient to…

Disordered Systems and Neural Networks · Physics 2020-03-18 Simon Becker , Yao Zhang , Alpha A. Lee

To run a cloud application with the required service quality, operators have to continuously monitor the cloud application's run-time status, detect potential performance anomalies, and diagnose the root causes of anomalies. However,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-01 Ruyue Xin , Hongyun Liu , Peng Chen , Paola Grosso , Zhiming Zhao

Geometric alignment appears in a variety of applications, ranging from domain adaptation, optimal transport, and normalizing flows in machine learning; optical flow and learned augmentation in computer vision and deformable registration…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Steffen Czolbe , Aasa Feragen , Oswin Krause

Given a matrix $A$, a linear feasibility problem (of which linear classification is a special case) aims to find a solution to a primal problem $w: A^Tw > \textbf{0}$ or a certificate for the dual problem which is a probability distribution…

Optimization and Control · Mathematics 2016-02-01 Aaditya Ramdas , Javier Peña

Domain Generalization (DG) techniques have emerged as a popular approach to address the challenges of domain shift in Deep Learning (DL), with the goal of generalizing well to the target domain unseen during the training. In recent years,…

Computer Vision and Pattern Recognition · Computer Science 2023-11-16 Aveen Dayal , Vimal K. B. , Linga Reddy Cenkeramaddi , C. Krishna Mohan , Abhinav Kumar , Vineeth N Balasubramanian

A regularized version of Mixture Models is proposed to learn a principal graph from a distribution of $D$-dimensional data points. In the particular case of manifold learning for ridge detection, we assume that the underlying manifold can…

Machine Learning · Computer Science 2023-07-13 Tony Bonnaire , Aurélien Decelle , Nabila Aghanim

Modern artificial intelligence systems make critical decisions yet often fail silently when uncertain -- even well-calibrated models provide no mechanism to identify \textit{which specific predictions} are unreliable. We develop a geometric…

Machine Learning · Statistics 2025-12-02 Soumojit Das , Nairanjana Dasgupta , Prashanta Dutta

We propose a new generative adversarial architecture to mitigate imbalance data problem for the task of medical image semantic segmentation where the majority of pixels belong to a healthy region and few belong to lesion or non-health…

Computer Vision and Pattern Recognition · Computer Science 2018-11-28 Mina Rezaei , Haojin Yang , Christoph Meinel

A Generative Adversarial Network (GAN) with generator $G$ trained to model the prior of images has been shown to perform better than sparsity-based regularizers in ill-posed inverse problems. Here, we propose a new method of deploying a…

Machine Learning · Computer Science 2019-10-25 Ankit Raj , Yuqi Li , Yoram Bresler
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