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The traditional approach of hand-crafting priors (such as sparsity) for solving inverse problems is slowly being replaced by the use of richer learned priors (such as those modeled by deep generative networks). In this work, we study the…

机器学习 · 计算机科学 2021-05-14 Viraj Shah , Rakib Hyder , M. Salman Asif , Chinmay Hegde

Trained generative models have shown remarkable performance as priors for inverse problems in imaging -- for example, Generative Adversarial Network priors permit recovery of test images from 5-10x fewer measurements than sparsity priors.…

计算机视觉与模式识别 · 计算机科学 2025-10-28 Muhammad Asim , Mara Daniels , Oscar Leong , Ali Ahmed , Paul Hand

Recurrent Neural Networks (RNNs) are widely used for sequential processing but face fundamental limitations with continual inference due to state saturation, requiring disruptive hidden state resets. However, reset-based methods impose…

机器学习 · 计算机科学 2024-12-23 Bojian Yin , Federico Corradi

Recently, generative diffusion priors have made huge strides as inverse problem solvers, including the ability to be adapted for inference on out-of-distribution data. Concurrently, implicit neural representations (INRs) have emerged as…

图像与视频处理 · 电气工程与系统科学 2026-03-12 Maliha Hossain , Haley Duba-Sullivan , Amirkoushyar Ziabari

The promise of compressive sensing (CS) has been offset by two significant challenges. First, real-world data is not exactly sparse in a fixed basis. Second, current high-performance recovery algorithms are slow to converge, which limits CS…

机器学习 · 统计学 2017-01-17 Ali Mousavi , Richard G. Baraniuk

Inverse problems arise in a variety of imaging applications including computed tomography, non-destructive testing, and remote sensing. The characteristic features of inverse problems are the non-uniqueness and instability of their…

数值分析 · 数学 2020-06-09 Markus Haltmeier , Linh V. Nguyen

This article presents a new approach to the real-time solution of inverse problems on embedded systems. The class of problems addressed corresponds to ordinary differential equations (ODEs) with generalized linear constraints, whereby the…

离散数学 · 计算机科学 2014-06-03 Christoph Gugg , Matthew Harker , Paul O'Leary , Gerhard Rath

Inverse problems are concerned with the reconstruction of unknown physical quantities using indirect measurements and are fundamental across diverse fields such as medical imaging, remote sensing, and material sciences. These problems serve…

数值分析 · 数学 2025-06-16 Carola-Bibiane Schönlieb , Zakhar Shumaylov

In many tasks, in particular in natural science, the goal is to determine hidden system parameters from a set of measurements. Often, the forward process from parameter- to measurement-space is a well-defined function, whereas the inverse…

Recently Implicit Neural Representations (INRs) gained attention as a novel and effective representation for various data types. Thus far, prior work mostly focused on optimizing their reconstruction performance. This work investigates INRs…

图像与视频处理 · 电气工程与系统科学 2022-08-05 Yannick Strümpler , Janis Postels , Ren Yang , Luc van Gool , Federico Tombari

The solution of linear inverse problems arising, for example, in signal and image processing is a challenging problem since the ill-conditioning amplifies, in the solution, the noise present in the data. Recently introduced algorithms based…

数值分析 · 数学 2024-02-08 Davide Evangelista , James Nagy , Elena Morotti , Elena Loli Piccolomini

For multi-scale problems, the conventional physics-informed neural networks (PINNs) face some challenges in obtaining available predictions. In this paper, based on PINNs, we propose a practical deep learning framework for multi-scale…

机器学习 · 计算机科学 2024-12-18 Yong Wang , Yanzhong Yao , Jiawei Guo , Zhiming Gao

Time series models are ubiquitous in science, arising in any situation where researchers seek to understand how a system's behaviour changes over time. A key problem in time series modelling is \emph{inference}; determining properties of…

Irregular Multivariate Time Series (IMTS) are characterized by uneven intervals between consecutive timestamps, which carry sampling pattern information valuable and informative for learning temporal and variable dependencies. In addition,…

机器学习 · 计算机科学 2026-02-26 Boyuan Li , Zhen Liu , Yicheng Luo , Qianli Ma

Detecting anomalies in multivariate time-series data is essential in many real-world applications. Recently, various deep learning-based approaches have shown considerable improvements in time-series anomaly detection. However, existing…

机器学习 · 计算机科学 2022-01-31 Kyeong-Joong Jeong , Yong-Min Shin

Dynamic MRI reconstruction, one of inverse problems, has seen a surge by the use of deep learning techniques. Especially, the practical difficulty of obtaining ground truth data has led to the emergence of unsupervised learning approaches.…

图像与视频处理 · 电气工程与系统科学 2025-10-28 Dayoung Baik , Jaejun Yoo

Generative models have emerged as powerful priors for solving inverse problems. These models typically represent a class of natural signals using a single fixed complexity or dimensionality. This can be limiting: depending on the problem, a…

机器学习 · 计算机科学 2026-03-11 Sean Gunn , Jorio Cocola , Oliver De Candido , Vaggos Chatziafratis , Paul Hand

While intelligent tutoring systems (ITSs) can use information from past students to personalize instruction, each new student is unique. Moreover, the education problem is inherently difficult because the learning process is only partially…

机器学习 · 计算机科学 2025-11-20 Jeffrey Jiang , Kevin Hong , Emily Kuczynski , Gregory Pottie

Time series are all around in real-world applications. However, unexpected accidents for example broken sensors or missing of the signals will cause missing values in time series, making the data hard to be utilized. It then does harm to…

机器学习 · 计算机科学 2020-11-24 Chenguang Fang , Chen Wang

We address the problem of inferring descriptions of system behavior using Linear Temporal Logic (LTL) from a finite set of positive and negative examples. Most of the existing approaches for solving such a task rely on predefined templates…

机器学习 · 计算机科学 2021-06-28 Jean-Raphaël Gaglione , Daniel Neider , Rajarshi Roy , Ufuk Topcu , Zhe Xu