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The problem of reconstructing nonlinear and complex dynamical systems from measured data or time series is central to many scientific disciplines including physical, biological, computer, and social sciences, as well as engineering and…

Data Analysis, Statistics and Probability · Physics 2017-05-01 Wenxu Wang , Ying-Cheng Lai , Celso Grebogi

Current top-notch deep learning (DL) based vision models are primarily based on exploring and exploiting the inherent correlations between training data samples and their associated labels. However, a known practical challenge is their…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Chao-Han Huck Yang , I-Te Danny Hung , Yi-Chieh Liu , Pin-Yu Chen

Selecting an appropriate prior to compensate for information loss due to the measurement operator is a fundamental challenge in imaging inverse problems. Implicit priors based on denoising neural networks have become central to widely-used…

Image and Video Processing · Electrical Eng. & Systems 2025-06-10 Matthieu Terris , Ulugbek S. Kamilov , Thomas Moreau

Recent breakthroughs in natural language processing and computer vision, driven by efficient pre-training on large datasets, have enabled foundation models to excel on a wide range of tasks. However, this potential has not yet been fully…

Machine Learning · Computer Science 2025-02-03 Özgün Turgut , Philip Müller , Martin J. Menten , Daniel Rueckert

An important goal in deep learning is to learn versatile, high-level feature representations of input data. However, standard networks' representations seem to possess shortcomings that, as we illustrate, prevent them from fully realizing…

Machine Learning · Statistics 2019-09-30 Logan Engstrom , Andrew Ilyas , Shibani Santurkar , Dimitris Tsipras , Brandon Tran , Aleksander Madry

Recently, a class of machine learning methods called physics-informed neural networks (PINNs) has been proposed and gained prevalence in solving various scientific computing problems. This approach enables the solution of partial…

Computational Engineering, Finance, and Science · Computer Science 2023-11-06 Chen Xu , Ba Trung Cao , Yong Yuan , Günther Meschke

Neural Networks (NNs) are vulnerable to adversarial examples. Such inputs differ only slightly from their benign counterparts yet provoke misclassifications of the attacked NNs. The required perturbations to craft the examples are often…

Cryptography and Security · Computer Science 2020-09-30 Philip Sperl , Konstantin Böttinger

This paper presents an efficient algorithm for robust network reconstruction of Linear Time-Invariant (LTI) systems in the presence of noise, estimation errors and unmodelled nonlinearities. The method here builds on previous work on robust…

Dynamical Systems · Mathematics 2016-11-18 David Hayden , Ye Yuan , Jorge Gonçalves

Depth maps captured by modern depth cameras such as Kinect and Time-of-Flight (ToF) are usually contaminated by missing data, noises and suffer from being of low resolution. In this paper, we present a robust method for high-quality…

Computer Vision and Pattern Recognition · Computer Science 2015-12-29 Wei Liu , Yun Gu , Chunhua Shen , Xiaogang Chen , Qiang Wu , Jie Yang

Routine clinical imaging of the retina using optical coherence tomography (OCT) is performed with large slice spacing, resulting in highly anisotropic images and a sparsely scanned retina. Most learning-based methods circumvent the problems…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Bennet Kahrs , Julia Andresen , Fenja Falta , Monty Santarossa , Heinz Handels , Timo Kepp

Inverse problems exist in many domains such as phase imaging, image processing, and computer vision. These problems are often solved with application-specific algorithms, even though their nature remains the same: mapping input image(s) to…

Computational Physics · Physics 2021-10-22 Feng Wang , Alberto Eljarrat , Johannes Müller , Trond Henninen , Erni Rolf , Christoph Koch

We propose an outlier robust multivariate time series model which can be used for detecting previously unseen anomalous sounds based on noisy training data. The presented approach doesn't assume the presence of labeled anomalies in the…

Sound · Computer Science 2022-02-07 Wo Jae Lee , Karim Helwani , Arvindh Krishnaswamy , Srikanth Tenneti

Supervised learning models are challenged by the intrinsic complexities of training data such as outliers and minority subpopulations and intentional attacks at inference time with adversarial samples. While traditional robust learning…

Machine Learning · Computer Science 2023-09-12 Shu Hu , Zhenhuan Yang , Xin Wang , Yiming Ying , Siwei Lyu

High-dimensional longitudinal time series data is prevalent across various real-world applications. Many such applications can be modeled as regression problems with high-dimensional time series covariates. Deep learning has been a popular…

Machine Learning · Statistics 2024-04-09 Wenxuan Zuo , Zifan Zhu , Yuxuan Du , Yi-Chun Yeh , Jed A. Fuhrman , Jinchi Lv , Yingying Fan , Fengzhu Sun

Solving inverse problems is a fundamental component of science, engineering and mathematics. With the advent of deep learning, deep neural networks have significant potential to outperform existing state-of-the-art, model-based methods for…

Machine Learning · Computer Science 2022-12-22 Maksym Neyra-Nesterenko , Ben Adcock

Inverse problems arise in a number of domains such as medical imaging, remote sensing, and many more, relying on the use of advanced signal and image processing approaches -- such as sparsity-driven techniques -- to determine their…

Machine Learning · Computer Science 2019-02-01 Jaweria Amjad , Zhaoyan Lyu , Miguel R. D. Rodrigues

Representation learning plays a critical role in the analysis of time series data and has high practical value across a wide range of applications. including trend analysis, time series data retrieval and forecasting. In practice, data…

Machine Learning · Computer Science 2023-12-13 Chengyang Ye , Qiang Ma

Finding model parameters from data is an essential task in science and engineering, from weather and climate forecasts to plasma control. Previous works have employed neural networks to greatly accelerate finding solutions to inverse…

Machine Learning · Computer Science 2024-08-16 Philipp Holl , Nils Thuerey

Time series analysis remains a major challenge due to its sparse characteristics, high dimensionality, and inconsistent data quality. Recent advancements in transformer-based techniques have enhanced capabilities in forecasting and…

Machine Learning · Computer Science 2024-05-29 Robert Leppich , Vanessa Borst , Veronika Lesch , Samuel Kounev

When simulating partial differential equations, hybrid solvers combine coarse numerical solvers with learned correctors. They promise accelerated simulations while adhering to physical constraints. However, as shown in our theoretical…

Machine Learning · Computer Science 2025-11-19 Hao Wei , Aleksandra Franz , Bjoern List , Nils Thuerey