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In this work, we present a machine learning approach for reducing the error when numerically solving time-dependent partial differential equations (PDE). We use a fully convolutional LSTM network to exploit the spatiotemporal dynamics of…

Machine Learning · Computer Science 2020-02-11 Ben Stevens , Tim Colonius

This study introduces a refined Flooding Injection Rate-adjustable Denial-of-Service (DoS) model for Network-on-Chips (NoCs) and more importantly presents DL2Fence, a novel framework utilizing Deep Learning (DL) and Frame Fusion (2F) for…

Cryptography and Security · Computer Science 2024-05-24 Haoyu Wang , Basel Halak , Jianjie Ren , Ahmad Atamli

We propose machine learning methods for solving fully nonlinear partial differential equations (PDEs) with convex Hamiltonian. Our algorithms are conducted in two steps. First the PDE is rewritten in its dual stochastic control…

Computational Finance · Quantitative Finance 2022-05-23 William Lefebvre , Grégoire Loeper , Huyên Pham

Deep Learning (DL) is a two-step classification model that consists feature learning, generating feature representations using unsupervised ways and the supervised learning stage at the last step of model using at least two hidden layers on…

Machine Learning · Computer Science 2021-01-26 Gokhan Altan , Yakup Kutlu

Numerical solving parameterised partial differential equations (P-PDEs) is highly practical yet computationally expensive, driving the development of reduced-order models (ROMs). Recently, methods that combine latent space identification…

Machine Learning · Computer Science 2024-10-08 Xinlei Lin , Dunhui Xiao

POD-DL-ROMs have been recently proposed as an extremely versatile strategy to build accurate and reliable reduced order models (ROMs) for nonlinear parametrized partial differential equations, combining (i) a preliminary dimensionality…

Numerical Analysis · Mathematics 2023-05-09 Simone Brivio , Stefania Fresca , Nicola Rares Franco , Andrea Manzoni

Probabilistic models with discrete latent variables naturally capture datasets composed of discrete classes. However, they are difficult to train efficiently, since backpropagation through discrete variables is generally not possible. We…

Machine Learning · Statistics 2017-04-25 Jason Tyler Rolfe

The application of deep learning (DL) models to neuroimaging data poses several challenges, due to the high dimensionality, low sample size and complex temporo-spatial dependency structure of these datasets. Even further, DL models act as…

Machine Learning · Computer Science 2019-04-08 Armin W. Thomas , Hauke R. Heekeren , Klaus-Robert Müller , Wojciech Samek

Deep learning is emerging as a new paradigm for solving inverse imaging problems. However, the deep learning methods often lack the assurance of traditional physics-based methods due to the lack of physical information considerations in…

Image and Video Processing · Electrical Eng. & Systems 2020-07-20 Dongdong Chen , Mike E. Davies

Conventional deep learning (DL) model compression and scaling methods focus on altering the model's components, impacting the results across all samples uniformly. However, since samples vary in difficulty, a dynamic model that adapts…

Machine Learning · Computer Science 2025-05-09 Qingyuan Wang , Barry Cardiff , Antoine Frappé , Benoit Larras , Deepu John

Compressive sensing (CS) is a mathematically elegant tool for reducing the sampling rate, potentially bringing context-awareness to a wider range of devices. Nevertheless, practical issues with the sampling and reconstruction algorithms…

Signal Processing · Electrical Eng. & Systems 2021-05-28 Alina L. Machidon , Veljko Pejovic

Unsupervised deep-learning (DL) models were recently proposed for deformable image registration tasks. In such models, a neural-network is trained to predict the best deformation field by minimizing some dissimilarity function between the…

Computer Vision and Pattern Recognition · Computer Science 2020-08-11 Samah Khawaled , Moti Freiman

Physics informed neural networks (PINNs) have emerged as a powerful tool to provide robust and accurate approximations of solutions to partial differential equations (PDEs). However, PINNs face serious difficulties and challenges when…

Machine Learning · Computer Science 2023-07-11 Rajat Arora

Kernel-based subspace clustering, which addresses the nonlinear structures in data, is an evolving area of research. Despite noteworthy progressions, prevailing methodologies predominantly grapple with limitations relating to (i) the…

Machine Learning · Computer Science 2025-01-22 Kunpeng Xu , Lifei Chen , Shengrui Wang

Partially-supervised learning can be challenging for segmentation due to the lack of supervision for unlabeled structures, and the methods directly applying fully-supervised learning could lead to incompatibility, meaning ground truth is…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Ke Zhang , Xiahai Zhuang

We introduce Constr-DRKM, a deep kernel method for the unsupervised learning of disentangled data representations. We propose augmenting the original deep restricted kernel machine formulation for kernel PCA by orthogonality constraints on…

Machine Learning · Computer Science 2020-12-01 Francesco Tonin , Panagiotis Patrinos , Johan A. K. Suykens

Cross-dataset transfer learning is an important problem in person re-identification (Re-ID). Unfortunately, not too many deep transfer Re-ID models exist for realistic settings of practical Re-ID systems. We propose a purely deep transfer…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Alexey Potapov , Sergey Rodionov , Hugo Latapie , Enzo Fenoglio

The problem of phase retrieval, or the algorithmic recovery of lost phase information from measured intensity alone, underlies various imaging methods from astronomy to nanoscale imaging. Traditional methods of phase retrieval are iterative…

We present a method combining affinity prediction with region agglomeration, which improves significantly upon the state of the art of neuron segmentation from electron microscopy (EM) in accuracy and scalability. Our method consists of a…

Computer Vision and Pattern Recognition · Computer Science 2020-07-29 Jan Funke , Fabian David Tschopp , William Grisaitis , Arlo Sheridan , Chandan Singh , Stephan Saalfeld , Srinivas C. Turaga

We present two effective methods for solving high-dimensional partial differential equations (PDE) based on randomized neural networks. Motivated by the universal approximation property of this type of networks, both methods extend the…

Numerical Analysis · Mathematics 2023-09-14 Yiran Wang , Suchuan Dong