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Consider an unknown nonlinear dynamical system that is known to be dissipative. The objective of this paper is to learn a neural dynamical model that approximates this system, while preserving the dissipativity property in the model. In…

Machine Learning · Computer Science 2024-04-09 Yuezhu Xu , S. Sivaranjani

The deep-learning-based least squares method has shown successful results in solving high-dimensional non-linear partial differential equations (PDEs). However, this method usually converges slowly. To speed up the convergence of this…

Numerical Analysis · Mathematics 2025-07-10 Wenhan Gao , Chunmei Wang

We consider the problem of forecasting complex, nonlinear space-time processes when observations provide only partial information of on the system's state. We propose a natural data-driven framework, where the system's dynamics are modelled…

Systems and Control · Computer Science 2019-03-01 Ibrahim Ayed , Emmanuel de Bézenac , Arthur Pajot , Julien Brajard , Patrick Gallinari

We propose Deep Autoencoding Predictive Components (DAPC) -- a self-supervised representation learning method for sequence data, based on the intuition that useful representations of sequence data should exhibit a simple structure in the…

Machine Learning · Computer Science 2021-03-02 Junwen Bai , Weiran Wang , Yingbo Zhou , Caiming Xiong

Supervised models of NLP rely on large collections of text which closely resemble the intended testing setting. Unfortunately matching text is often not available in sufficient quantity, and moreover, within any domain of text, data is…

Computation and Language · Computer Science 2019-06-10 Yitong Li , Timothy Baldwin , Trevor Cohn

This work proposes a Stochastic Variational Deep Kernel Learning method for the data-driven discovery of low-dimensional dynamical models from high-dimensional noisy data. The framework is composed of an encoder that compresses…

Machine Learning · Computer Science 2023-06-28 Nicolò Botteghi , Mengwu Guo , Christoph Brune

Extracting time-varying latent variables from computational cognitive models is a key step in model-based neural analysis, which aims to understand the neural correlates of cognitive processes. However, existing methods only allow…

Machine Learning · Computer Science 2025-09-01 Ti-Fen Pan , Jing-Jing Li , Bill Thompson , Anne Collins

Automated surface-anomaly detection using machine learning has become an interesting and promising area of research, with a very high and direct impact on the application domain of visual inspection. Deep-learning methods have become the…

Computer Vision and Pattern Recognition · Computer Science 2019-06-12 Domen Tabernik , Samo Šela , Jure Skvarč , Danijel Skočaj

Learning interpretable representations of neural dynamics at a population level is a crucial first step to understanding how observed neural activity relates to perception and behavior. Models of neural dynamics often focus on either…

Machine Learning · Statistics 2025-01-13 Noga Mudrik , Yenho Chen , Eva Yezerets , Christopher J. Rozell , Adam S. Charles

Extracting coherent patterns is one of the standard approaches towards understanding spatio-temporal data. Dynamic mode decomposition (DMD) is a powerful tool for extracting coherent patterns, but the original DMD and most of its variants…

Machine Learning · Computer Science 2021-02-22 Naoya Takeishi , Keisuke Fujii , Koh Takeuchi , Yoshinobu Kawahara

State-of-the-art deep neural network recognition systems are designed for a static and closed world. It is usually assumed that the distribution at test time will be the same as the distribution during training. As a result, classifiers are…

Computer Vision and Pattern Recognition · Computer Science 2019-02-28 Benjamin J. Meyer , Tom Drummond

Active learning aims to reduce the high labeling cost involved in training machine learning models on large datasets by efficiently labeling only the most informative samples. Recently, deep active learning has shown success on various…

Computer Vision and Pattern Recognition · Computer Science 2019-12-12 Sudhanshu Mittal , Maxim Tatarchenko , Özgün Çiçek , Thomas Brox

Bayesian neural networks with latent variables are scalable and flexible probabilistic models: They account for uncertainty in the estimation of the network weights and, by making use of latent variables, can capture complex noise patterns…

Machine Learning · Statistics 2018-06-19 Stefan Depeweg , José Miguel Hernández-Lobato , Finale Doshi-Velez , Steffen Udluft

High-dimensional data must be highly structured to be learnable. Although the compositional and hierarchical nature of data is often put forward to explain learnability, quantitative measurements establishing these properties are scarce.…

Machine Learning · Statistics 2025-03-04 Antonio Sclocchi , Alessandro Favero , Noam Itzhak Levi , Matthieu Wyart

Real-time simulation of elastic structures is essential in many applications, from computer-guided surgical interventions to interactive design in mechanical engineering. The Finite Element Method is often used as the numerical method of…

Machine Learning · Computer Science 2021-09-21 Alban Odot , Ryadh Haferssas , Stéphane Cotin

Deep generative models like VAEs and diffusion models have advanced various generation tasks by leveraging latent variables to learn data distributions and generate high-quality samples. Despite the field of explainable AI making strides in…

Machine Learning · Computer Science 2025-12-22 Mengdan Zhu , Raasikh Kanjiani , Jiahui Lu , Andrew Choi , Qirui Ye , Liang Zhao

Semantic image segmentation is one of fastest growing areas in computer vision with a variety of applications. In many areas, such as robotics and autonomous vehicles, semantic image segmentation is crucial, since it provides the necessary…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Georgios Takos

Optimization problems with an auxiliary latent variable structure in addition to the main model parameters occur frequently in computer vision and machine learning. The additional latent variables make the underlying optimization task…

Machine Learning · Computer Science 2020-03-13 Christopher Zach , Huu Le

Longitudinal data are important in numerous fields, such as healthcare, sociology and seismology, but real-world datasets present notable challenges for practitioners because they can be high-dimensional, contain structured missingness…

Machine Learning · Computer Science 2024-07-01 Maksim Sinelnikov , Manuel Haussmann , Harri Lähdesmäki

Obtaining accurate estimates of uncertainty in climate scenarios often requires generating large ensembles of high-resolution climate simulations, a computationally expensive and memory intensive process. To address this challenge, we train…

Machine Learning · Computer Science 2024-07-08 Johannes Meuer , Maximilian Witte , Tobias Sebastian Finn , Claudia Timmreck , Thomas Ludwig , Christopher Kadow