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Diffusion models have become a successful approach for solving various image inverse problems by providing a powerful diffusion prior. Many studies tried to combine the measurement into diffusion by score function replacement, matrix…

Computer Vision and Pattern Recognition · Computer Science 2024-05-20 Hanyu Chen , Zhixiu Hao , Liying Xiao

DEtection TRansformer (DETR) becomes a dominant paradigm, mainly due to its common architecture with high accuracy and no post-processing. However, DETR suffers from unstable training dynamics. It consumes more data and epochs to converge…

Computer Vision and Pattern Recognition · Computer Science 2024-06-11 Shengjian Wu , Li Sun , Qingli Li

This script offers an implementation-oriented introduction to deep learning methods for solving and estimating high-dimensional dynamic stochastic models in economics and finance. Its starting point is the curse of dimensionality:…

General Economics · Economics 2026-05-15 Simon Scheidegger

Although more layers and more parameters generally improve the accuracy of the models, such big models generally have high computational complexity and require big memory, which exceed the capacity of small devices for inference and incurs…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-15 Ji Liu , Daxiang Dong , Xi Wang , An Qin , Xingjian Li , Patrick Valduriez , Dejing Dou , Dianhai Yu

Neural PDE solvers offer a powerful tool for modeling complex dynamical systems, but often struggle with error accumulation over long time horizons and maintaining stability and physical consistency. We introduce a multiscale implicit…

Machine Learning · Computer Science 2025-06-06 Ruoxi Jiang , Xiao Zhang , Karan Jakhar , Peter Y. Lu , Pedram Hassanzadeh , Michael Maire , Rebecca Willett

Deep neural networks with discrete latent variables offer the promise of better symbolic reasoning, and learning abstractions that are more useful to new tasks. There has been a surge in interest in discrete latent variable models, however,…

Machine Learning · Computer Science 2018-07-23 Aurko Roy , Ashish Vaswani , Arvind Neelakantan , Niki Parmar

There has been significant recent interest in the use of deep learning for regularizing imaging inverse problems. Most work in the area has focused on regularization imposed implicitly by convolutional neural networks (CNNs) pre-trained for…

Image and Video Processing · Electrical Eng. & Systems 2023-03-10 Zihao Zou , Jiaming Liu , Brendt Wohlberg , Ulugbek S. Kamilov

Image segmentation based on continual learning exhibits a critical drop of performance, mainly due to catastrophic forgetting and background shift, as they are required to incorporate new classes continually. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Weijia Wu , Yuzhong Zhao , Zhuang Li , Lianlei Shan , Hong Zhou , Mike Zheng Shou

A continual learning agent builds on previous experiences to develop increasingly complex behaviors by adapting to non-stationary and dynamic environments while preserving previously acquired knowledge. However, scaling these systems…

Machine Learning · Computer Science 2025-03-06 Achref Jaziri , Etienne Künzel , Visvanathan Ramesh

Recent advances in deep learning optimization showed that, with some a-posteriori information on fully-trained models, it is possible to match the same performance by simply training a subset of their parameters. Such a discovery has a…

Machine Learning · Computer Science 2022-11-15 Andrea Bragagnolo , Enzo Tartaglione , Marco Grangetto

Drawing inspiration from gradient-based meta-learning methods with infinitely small gradient steps, we introduce Continuous-Time Meta-Learning (COMLN), a meta-learning algorithm where adaptation follows the dynamics of a gradient vector…

Machine Learning · Computer Science 2022-03-04 Tristan Deleu , David Kanaa , Leo Feng , Giancarlo Kerg , Yoshua Bengio , Guillaume Lajoie , Pierre-Luc Bacon

We present DeepFDM, a differentiable finite-difference framework for learning spatially varying coefficients in time-dependent partial differential equations (PDEs). By embedding a classical forward-Euler discretization into a convolutional…

Numerical Analysis · Mathematics 2025-07-30 Patrick Chatain , Michael Rizvi-Martel , Guillaume Rabusseau , Adam Oberman

Online Continual Learning (OCL) involves sequentially arriving data and is particularly challenged by catastrophic forgetting, which significantly impairs model performance. To address this issue, we introduce a novel framework, Online…

Machine Learning · Computer Science 2025-12-16 Congren Dai , Huichi Zhou , Jiahao Huang , Zhenxuan Zhang , Fanwen Wang , Yijian Gao , Guang Yang , Fei Ye

This paper introduces Dex, a reinforcement learning environment toolkit specialized for training and evaluation of continual learning methods as well as general reinforcement learning problems. We also present the novel continual learning…

Machine Learning · Statistics 2017-06-20 Nick Erickson , Qi Zhao

To model time series accurately is important within a wide range of fields. As the world is generally too complex to be modelled exactly, it is often meaningful to assess the probability of a dynamical system to be in a specific state. This…

Machine Learning · Computer Science 2023-03-16 Mari Dahl Eggen , Alise Danielle Midtfjord

Diffusion language models (DLMs) are an attractive alternative to autoregressive models because they promise sublinear-time, parallel generation, yet practical gains remain elusive as high-quality samples still demand hundreds of refinement…

Machine Learning · Computer Science 2026-05-04 Hasan Amin , Yuan Gao , Yaser Souri , Subhojit Som , Ming Yin , Rajiv Khanna , Xia Song

Inspired by the ubiquitous use of differential equations to model continuous dynamics across diverse scientific and engineering domains, we propose a novel and intuitive approach to continuous sequence modeling. Our method interprets…

Machine Learning · Computer Science 2025-02-03 Macheng Shen , Chen Cheng

This paper develops a novel control-theoretic framework to analyze the non-asymptotic convergence of Q-learning. We show that the dynamics of asynchronous Q-learning with a constant step-size can be naturally formulated as a discrete-time…

Optimization and Control · Mathematics 2024-08-23 Donghwan Lee , Jianghai Hu , Niao He

In this paper, we propose a deep learning-based method, deep Euler method (DEM) to solve ordinary differential equations. DEM significantly improves the accuracy of the Euler method by approximating the local truncation error with deep…

Numerical Analysis · Mathematics 2020-03-24 Xing Shen , Xiaoliang Cheng , Kewei Liang

Learning under non-smooth objectives remains a fundamental challenge in machine learning, as abrupt changes in conditioning variables can induce highly non-smooth loss landscapes and destabilize optimization. This difficulty is particularly…

Optimization and Control · Mathematics 2026-03-16 Gyeongwan Gu , Jinwoo Hyun , Hyeontae Jo , Jae Kyoung Kim
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