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A numerical approach for the approximation of inertial manifolds of stochastic evolutionary equations with multiplicative noise is presented and illustrated. After splitting the stochastic evolutionary equations into a backward and a…

Dynamical Systems · Mathematics 2012-06-22 Xingye Kan , Jinqiao Duan , Ioannis G. Kevrekidis , Anthony J. Roberts

Image-to-image translation is an important and challenging problem in computer vision and image processing. Diffusion models (DM) have shown great potentials for high-quality image synthesis, and have gained competitive performance on the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Bo Li , Kaitao Xue , Bin Liu , Yu-Kun Lai

To parse images into fine-grained semantic parts, the complex fine-grained elements will put it in trouble when using off-the-shelf semantic segmentation networks. In this paper, for image parsing task, we propose to parse images from…

Computer Vision and Pattern Recognition · Computer Science 2018-04-24 Jiagao Hu , Zhengxing Sun , Yunhan Sun , Jinlong Shi

Score-based generative models (SGMs) have recently shown impressive results for difficult generative tasks such as the unconditional and conditional generation of natural images and audio signals. In this work, we extend these models to the…

Audio and Speech Processing · Electrical Eng. & Systems 2022-07-08 Simon Welker , Julius Richter , Timo Gerkmann

Conversion of one font to another font is very useful in real life applications. In this paper, we propose a Convolutional Recurrent Generative model to solve the word level font transfer problem. Our network is able to convert the font…

Computer Vision and Pattern Recognition · Computer Science 2018-05-25 Ankan Kumar Bhunia , Ayan Kumar Bhunia , Prithaj Banerjee , Aishik Konwer , Abir Bhowmick , Partha Pratim Roy , Umapada Pal

Image to image translation aims to learn a mapping that transforms an image from one visual domain to another. Recent works assume that images descriptors can be disentangled into a domain-invariant content representation and a…

Computer Vision and Pattern Recognition · Computer Science 2020-08-13 Raul Gomez , Yahui Liu , Marco De Nadai , Dimosthenis Karatzas , Bruno Lepri , Nicu Sebe

End-to-end optimization has achieved state-of-the-art performance on many specific problems, but there is no straight-forward way to combine pretrained models for new problems. Here, we explore improving modularity by learning a post-hoc…

Machine Learning · Computer Science 2019-02-25 Yingtao Tian , Jesse Engel

We demonstrate in this paper that a generative model can be designed to perform classification tasks under challenging settings, including adversarial attacks and input distribution shifts. Specifically, we propose a conditional variational…

Computer Vision and Pattern Recognition · Computer Science 2019-02-12 Houpu Yao , Malcolm Regan , Yezhou Yang , Yi Ren

This review surveys the state-of-the-art in text-to-image and image-to-image generation within the scope of generative AI. We provide a comparative analysis of three prominent architectures: Variational Autoencoders, Generative Adversarial…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Zineb Sordo , Eric Chagnon , Daniela Ushizima

The use of accurate scanning transmission electron microscopy (STEM) image simulation methods require large computation times that can make their use infeasible for the simulation of many images. Other simulation methods based on linear…

Computer Vision and Pattern Recognition · Computer Science 2022-11-18 Nick Lawrence , Mingren Shen , Ruiqi Yin , Cloris Feng , Dane Morgan

Brain aging synthesis is a critical task with broad applications in clinical and computational neuroscience. The ability to predict the future structural evolution of a subject's brain from an earlier MRI scan provides valuable insights…

Machine Learning · Computer Science 2025-08-01 Ridvan Yesiloglu , Wei Peng , Md Tauhidul Islam , Ehsan Adeli

Image-to-image translation tasks have been widely investigated with Generative Adversarial Networks (GANs) and dual learning. However, existing models lack the ability to control the translated results in the target domain and their results…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Jianxin Lin , Yingce Xia , Tao Qin , Zhibo Chen , Tie-Yan Liu

We present a Bayesian machine learning architecture that combines a physically motivated parametrization and an analytic error model for the likelihood with a deep generative model providing a powerful data-driven prior for complex signals.…

Instrumentation and Methods for Astrophysics · Physics 2019-12-10 Francois Lanusse , Peter Melchior , Fred Moolekamp

Modern brain imaging technologies have enabled the detailed reconstruction of human brain connectomes, capturing structural connectivity (SC) from diffusion MRI and functional connectivity (FC) from functional MRI. Understanding the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Yee-Fan Tan , Jun Lin Liow , Pei-Sze Tan , Fuad Noman , Raphael C. -W. Phan , Hernando Ombao , Chee-Ming Ting

We define some approximation schemes for different kinds of generalized backward stochastic differential systems, considered in the Markovian framework. We propose a mixed approximation scheme for a decoupled system of forward reflected SDE…

Probability · Mathematics 2015-11-20 Lucian Maticiuc , Eduard Rotenstein

Neural networks are one tool for approximating non-linear differential equations used in scientific computing tasks such as surrogate modeling, real-time predictions, and optimal control. PDE foundation models utilize neural networks to…

Machine Learning · Computer Science 2025-02-11 Elisa Negrini , Yuxuan Liu , Liu Yang , Stanley J. Osher , Hayden Schaeffer

While it has become common to perform automated translations on natural language, performing translations between different representations of mathematical formulae has thus far not been possible. We implemented the first translator for…

Machine Learning · Computer Science 2019-03-27 Felix Petersen , Moritz Schubotz , Bela Gipp

Foundation models are used to extract transferable representations from large amounts of unlabeled data, typically via self-supervised learning (SSL). However, many of these models rely on architectures that offer limited interpretability,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Samuel Ofosu Mensah , Camila Roa , Kerol Djoumessi , Philipp Berens

Algorithmic image-based diagnosis and prognosis of neurodegenerative diseases on longitudinal data has drawn great interest from computer vision researchers. The current state-of-the-art models for many image classification tasks are based…

Computer Vision and Pattern Recognition · Computer Science 2017-09-04 Jie Zhang , Qingyang Li , Richard J. Caselli , Jieping Ye , Yalin Wang

For unsupervised image-to-image translation, we propose a discriminator architecture which focuses on the statistical features instead of individual patches. The network is stabilized by distribution matching of key statistical features at…

Computer Vision and Pattern Recognition · Computer Science 2021-08-30 Xuning Shao , Weidong Zhang
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