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Score-based diffusion models in infinite-dimensional function spaces provide a mathematically principled framework for modelling function-valued data, offering key advantages such as resolution invariance and the ability to handle irregular…

Machine Learning · Computer Science 2026-05-06 James Rowbottom , Elizabeth L. Baker , Nick Huang , Ben Adcock , Carola-Bibiane Schönlieb , Alexander Denker

Diffusion (score-based) generative models have been widely used for modeling various types of complex data, including images, audios, and point clouds. Recently, the deep connection between forward-backward stochastic differential equations…

Machine Learning · Computer Science 2022-06-22 Weitao Du , Tao Yang , He Zhang , Yuanqi Du

We introduce Functional Diffusion Processes (FDPs), which generalize score-based diffusion models to infinite-dimensional function spaces. FDPs require a new mathematical framework to describe the forward and backward dynamics, and several…

Machine Learning · Computer Science 2023-12-19 Giulio Franzese , Giulio Corallo , Simone Rossi , Markus Heinonen , Maurizio Filippone , Pietro Michiardi

Diffusion processes are a class of stochastic differential equations (SDEs) providing a rich family of expressive models that arise naturally in dynamic modelling tasks. Probabilistic inference and learning under generative models with…

Machine Learning · Computer Science 2024-02-28 Prakhar Verma , Vincent Adam , Arno Solin

Convolutional networks are powerful visual models that yield hierarchies of features. We show that convolutional networks by themselves, trained end-to-end, pixels-to-pixels, exceed the state-of-the-art in semantic segmentation. Our key…

Computer Vision and Pattern Recognition · Computer Science 2015-03-10 Jonathan Long , Evan Shelhamer , Trevor Darrell

State-of-the-art results of semantic segmentation are established by Fully Convolutional neural Networks (FCNs). FCNs rely on cascaded convolutional and pooling layers to gradually enlarge the receptive fields of neurons, resulting in an…

Computer Vision and Pattern Recognition · Computer Science 2016-03-17 Zhicheng Yan , Hao Zhang , Yangqing Jia , Thomas Breuel , Yizhou Yu

We propose a method for high-performance semantic image segmentation (or semantic pixel labelling) based on very deep residual networks, which achieves the state-of-the-art performance. A few design factors are carefully considered to this…

Computer Vision and Pattern Recognition · Computer Science 2016-04-18 Zifeng Wu , Chunhua Shen , Anton van den Hengel

Diffusion Probabilistic Methods are employed for state-of-the-art image generation. In this work, we present a method for extending such models for performing image segmentation. The method learns end-to-end, without relying on a…

Computer Vision and Pattern Recognition · Computer Science 2022-09-08 Tomer Amit , Tal Shaharbany , Eliya Nachmani , Lior Wolf

Generative models such as diffusion models have achieved remarkable success in state-of-the-art image and text tasks. Recently, score-based diffusion models have extended their success beyond image generation, showing competitive…

Machine Learning · Computer Science 2024-11-27 Jia Jun Cheng Xian , Sadegh Mahdavi , Renjie Liao , Oliver Schulte

Recent advances on text-to-image generation have witnessed the rise of diffusion models which act as powerful generative models. Nevertheless, it is not trivial to exploit such latent variable models to capture the dependency among discrete…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Jianjie Luo , Yehao Li , Yingwei Pan , Ting Yao , Jianlin Feng , Hongyang Chao , Tao Mei

For the challenging semantic image segmentation task the most efficient models have traditionally combined the structured modelling capabilities of Conditional Random Fields (CRFs) with the feature extraction power of CNNs. In more recent…

Computer Vision and Pattern Recognition · Computer Science 2018-05-16 Marvin T. T. Teichmann , Roberto Cipolla

In this paper, we present a deep surrogate model for learning the Green's function associated with the reaction-diffusion operator in rectangular domain. The U-Net architecture is utilized to effectively capture the mapping from source to…

Numerical Analysis · Mathematics 2023-10-06 Junqing Ji , Lili Ju , Xiaoping Zhang

Modern vision models achieve remarkable accuracy, but explaining where evidence arises, what the model encodes, and how internal computations assemble that evidence remains fragmented. We introduce an iERF-centric framework that unifies…

Computer Vision and Pattern Recognition · Computer Science 2026-05-04 Yearim Kim , Sangyu Han , Nojun Kwak

Recent advances in semantic image segmentation have mostly been achieved by training deep convolutional neural networks (CNNs). We show how to improve semantic segmentation through the use of contextual information; specifically, we explore…

Computer Vision and Pattern Recognition · Computer Science 2016-06-07 Guosheng Lin , Chunhua Shen , Anton van dan Hengel , Ian Reid

Diffusion models and multi-scale features are essential components in semantic segmentation tasks that deal with remote-sensing images. They contribute to improved segmentation boundaries and offer significant contextual information.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-25 Qi Zhang , Guohua Geng , Longquan Yan , Pengbo Zhou , Zhaodi Li , Kang Li , Qinglin Liu

We introduce the Fixed Point Diffusion Model (FPDM), a novel approach to image generation that integrates the concept of fixed point solving into the framework of diffusion-based generative modeling. Our approach embeds an implicit fixed…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Xingjian Bai , Luke Melas-Kyriazi

Detecting objects of interest in images was always a compelling task to automate. In recent years this task was more and more explored using deep learning techniques, mostly using region-based convolutional networks. In this project we…

Computer Vision and Pattern Recognition · Computer Science 2021-07-07 Ana-Cristina Rogoz , Radu Muntean , Stefan Cobeli

Deep structured output learning shows great promise in tasks like semantic image segmentation. We proffer a new, efficient deep structured model learning scheme, in which we show how deep Convolutional Neural Networks (CNNs) can be used to…

Computer Vision and Pattern Recognition · Computer Science 2015-09-09 Guosheng Lin , Chunhua Shen , Ian Reid , Anton van den Hengel

While generative modeling has achieved remarkable success on tasks like natural language-conditioned image generation, enabling model adaptation from example data points remains a relatively underexplored and challenging problem. To this…

Machine Learning · Computer Science 2026-05-08 Tyler Ingebrand , Ruihan Zhao , Kushagra Gupta , David Fridovich-Keil , Sandeep P. Chinchali , Ufuk Topcu

Artificial intelligence is making great changes in academy and industry with the fast development of deep learning, which is a branch of machine learning and statistical learning. Fully convolutional network [1] is the standard model for…

Computer Vision and Pattern Recognition · Computer Science 2017-09-05 Yichi Gu , Qisheng Wu , Jing Li , Kai Cheng