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In this work we propose an extension of physics informed supervised learning strategies to parametric partial differential equations. Indeed, even if the latter are indisputably useful in many applications, they can be computationally…

Machine Learning · Computer Science 2024-01-22 Nicola Demo , Maria Strazzullo , Gianluigi Rozza

In support of art investigation, we propose a new source separation method that unmixes a single X-ray scan acquired from double-sided paintings. In this problem, the X-ray signals to be separated have similar morphological characteristics,…

Computer Vision and Pattern Recognition · Computer Science 2016-11-15 Nikos Deligiannis , Joao F. C. Mota , Bruno Cornelis , Miguel R. D. Rodrigues , Ingrid Daubechies

Unsupervised learning enables modeling complex images without the need for annotations. The representation learned by such models can facilitate any subsequent analysis of large image datasets. However, some generative factors that cause…

Image and Video Processing · Electrical Eng. & Systems 2020-08-27 Maxime W. Lafarge , Josien P. W. Pluim , Mitko Veta

To reduce memory footprint and run-time latency, techniques such as neural network pruning and binarization have been explored separately. However, it is unclear how to combine the best of the two worlds to get extremely small and efficient…

Computer Vision and Pattern Recognition · Computer Science 2018-12-12 Yinghao Xu , Xin Dong , Yudian Li , Hao Su

Two major uncertainties, dataset bias and adversarial examples, prevail in state-of-the-art AI algorithms with deep neural networks. In this paper, we present an intuitive explanation for these issues as well as an interpretation of the…

Computer Vision and Pattern Recognition · Computer Science 2019-02-12 Yifei Fan , Anthony Yezzi

Recently deep learning and machine learning approaches have been widely employed for various applications in acoustics. Nonetheless, in the area of sound field processing and reconstruction classic methods based on the solutions of wave…

Audio and Speech Processing · Electrical Eng. & Systems 2025-01-07 Mirco Pezzoli , Fabio Antonacci , Augusto Sarti

Face restoration is an inherently ill-posed problem, where additional prior constraints are typically considered crucial for mitigating such pathology. However, real-world image prior are often hard to simulate with precise mathematical…

Computer Vision and Pattern Recognition · Computer Science 2020-10-13 Lingbo Yang , Pan Wang , Zhanning Gao , Shanshe Wang , Peiran Ren , Siwei Ma , Wen Gao

Training neural networks for source separation involves presenting a mixture recording at the input of the network and updating network parameters in order to produce an output that resembles the clean source. Consequently, supervised…

Sound · Computer Science 2019-05-10 Shrikant Venkataramani , Efthymios Tzinis , Paris Smaragdis

We study the potential of data-driven deep learning methods for separation of two communication signals from an observation of their mixture. In particular, we assume knowledge on the generation process of one of the signals, dubbed signal…

Signal Processing · Electrical Eng. & Systems 2023-06-28 Alejandro Lancho , Amir Weiss , Gary C. F. Lee , Jennifer Tang , Yuheng Bu , Yury Polyanskiy , Gregory W. Wornell

Most existing super-resolution methods do not perform well in real scenarios due to lack of realistic training data and information loss of the model input. To solve the first problem, we propose a new pipeline to generate realistic…

Image and Video Processing · Electrical Eng. & Systems 2019-05-30 Xiangyu Xu , Yongrui Ma , Wenxiu Sun

Estimating the parameters of a model describing a set of observations using a neural network is in general solved in a supervised way. In cases when we do not have access to the model's true parameters this approach can not be applied.…

Astrophysics of Galaxies · Physics 2020-09-30 Miguel A. Aragon-Calvo

We develop a general approach to distill symbolic representations of a learned deep model by introducing strong inductive biases. We focus on Graph Neural Networks (GNNs). The technique works as follows: we first encourage sparse latent…

Machine Learning · Computer Science 2020-11-19 Miles Cranmer , Alvaro Sanchez-Gonzalez , Peter Battaglia , Rui Xu , Kyle Cranmer , David Spergel , Shirley Ho

We present the first diffusion-based framework that can learn an unknown distribution using only highly-corrupted samples. This problem arises in scientific applications where access to uncorrupted samples is impossible or expensive to…

Machine Learning · Computer Science 2023-05-31 Giannis Daras , Kulin Shah , Yuval Dagan , Aravind Gollakota , Alexandros G. Dimakis , Adam Klivans

Dual-energy computed tomography (DECT) enables material-specific imaging through acquisitions at two different X-ray energy spectra. Material decomposition from DECT data is an ill-posed inverse problem that is highly sensitive to noise…

Neural networks are a central technique in machine learning. Recent years have seen a wave of interest in applying neural networks to physical systems for which the governing dynamics are known and expressed through differential equations.…

Computational Physics · Physics 2020-01-31 M. Mattheakis , P. Protopapas , D. Sondak , M. Di Giovanni , E. Kaxiras

Object recognition in the presence of background clutter and distractors is a central problem both in neuroscience and in machine learning. However, the performance level of the models that are inspired by cortical mechanisms, including…

Computer Vision and Pattern Recognition · Computer Science 2014-10-29 Reza Moazzezi

Recently, deep learning-based single image reflection separation methods have been exploited widely. To benefit the learning approach, a large number of training image pairs (i.e., with and without reflections) were synthesized in various…

Computer Vision and Pattern Recognition · Computer Science 2020-10-01 Soomin Kim , Yuchi Huo , Sung-Eui Yoon

This work aims to tackle the all-in-one image restoration task, which seeks to handle multiple types of degradation with a single model. The primary challenge is to extract degradation representations from the input degraded images and use…

Computer Vision and Pattern Recognition · Computer Science 2025-02-25 Jie Chu , Tong Su , Pei Liu , Yunpeng Wu , Le Zhang , Zenglin Shi , Meng Wang

Super-resolution tasks oriented to images captured in ultra-dark environments is a practical yet challenging problem that has received little attention. Due to uneven illumination and low signal-to-noise ratio in dark environments, a…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Jiaxin Gao , Ziyu Yue , Yaohua Liu , Sihan Xie , Xin Fan , Risheng Liu

Finite element methods typically require a high resolution to satisfactorily approximate micro and even macro patterns of an underlying physical model. This issue can be circumvented by appropriate multiscale strategies that are able to…

Numerical Analysis · Mathematics 2025-12-24 Zhi-Song Liu , Roland Maier , Andreas Rupp