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Hierarchical data arise in countless domains, from biological taxonomies and organizational charts to legal codes and knowledge graphs. Residual Quantization (RQ) is widely used to generate discrete, multitoken representations for such data…

Machine Learning · Computer Science 2025-05-20 Piotr Piękos , Subhradeep Kayal , Alexandros Karatzoglou

Compared with traditional deep learning techniques, continual learning enables deep neural networks to learn continually and adaptively. Deep neural networks have to learn new tasks and overcome forgetting the knowledge obtained from the…

Machine Learning · Computer Science 2022-02-08 Yujiang He

Classical methods of solving spatiotemporal dynamical systems include statistical approaches such as autoregressive integrated moving average, which assume linear and stationary relationships between systems' previous outputs. Development…

Dynamical Systems · Mathematics 2022-02-16 Yonggi Park , Kelum Gajamannage , Dilhani I. Jayathilake , Erik M. Bollt

The block-based coding structure in the hybrid video coding framework inevitably introduces compression artifacts such as blocking, ringing, etc. To compensate for those artifacts, extensive filtering techniques were proposed in the loop of…

Image and Video Processing · Electrical Eng. & Systems 2021-05-05 Wei Jia , Li Li , Zhu Li , xiang zhang , Shan Liu

Recurrent stochastic configuration networks (RSCNs) have shown great potential in modelling nonlinear dynamic systems with uncertainties. This paper presents an RSCN with hybrid regularization to enhance both the learning capacity and…

Machine Learning · Computer Science 2024-12-03 Gang Dang , Dianhui Wang

Learning continuously during all model lifetime is fundamental to deploy machine learning solutions robust to drifts in the data distribution. Advances in Continual Learning (CL) with recurrent neural networks could pave the way to a large…

Machine Learning · Computer Science 2021-08-03 Andrea Cossu , Antonio Carta , Vincenzo Lomonaco , Davide Bacciu

Learning-based methods for inverse problems, adapting to the data's inherent structure, have become ubiquitous in the last decade. Besides empirical investigations of their often remarkable performance, an increasing number of works…

Numerical Analysis · Mathematics 2023-07-21 Clemens Arndt , Sören Dittmer , Nick Heilenkötter , Meira Iske , Tobias Kluth , Judith Nickel

A key attribute that drives the unprecedented success of modern Recurrent Neural Networks (RNNs) on learning tasks which involve sequential data, is their ability to model intricate long-term temporal dependencies. However, a well…

Machine Learning · Computer Science 2020-03-24 Alon Ziv

Deep learning (DL) has become an essential tool in prognosis and health management (PHM), commonly used as a regression algorithm for the prognosis of a system's behavior. One particular metric of interest is the remaining useful life (RUL)…

Signal Processing · Electrical Eng. & Systems 2020-06-17 Sergio Cofre-Martel , Enrique Lopez Droguett , Mohammad Modarres

In recent years, deep learning has gained increasing popularity in the fields of Partial Differential Equations (PDEs) and Reduced Order Modeling (ROM), providing domain practitioners with new powerful data-driven techniques such as…

Numerical Analysis · Mathematics 2024-06-25 Nicola Rares Franco , Simone Brugiapaglia

According to Complementary Learning Systems (CLS) theory~\citep{mcclelland1995there} in neuroscience, humans do effective \emph{continual learning} through two complementary systems: a fast learning system centered on the hippocampus for…

Machine Learning · Computer Science 2021-10-04 Quang Pham , Chenghao Liu , Steven Hoi

Many real-world interactions are group-based rather than pairwise such as papers with multiple co-authors and users jointly engaging with items. Hypergraph neural networks have shown great promise at modeling higher-order relations, but…

Machine Learning · Computer Science 2025-08-14 Xiaoyu Li , Guangyu Tang , Jiaojiao Jiang

In this paper, we introduce the notion of liquid time-constant (LTC) recurrent neural networks (RNN)s, a subclass of continuous-time RNNs, with varying neuronal time-constant realized by their nonlinear synaptic transmission model. This…

Machine Learning · Computer Science 2018-11-02 Ramin M. Hasani , Mathias Lechner , Alexander Amini , Daniela Rus , Radu Grosu

Progress in machine learning (ML) stems from a combination of data availability, computational resources, and an appropriate encoding of inductive biases. Useful biases often exploit symmetries in the prediction problem, such as…

Machine Learning · Computer Science 2021-12-08 Ferran Alet , Dylan Doblar , Allan Zhou , Joshua Tenenbaum , Kenji Kawaguchi , Chelsea Finn

Deep State Space Models (SSMs) reignite physics-grounded compute paradigms, as RNNs could natively be embodied into dynamical systems. This calls for dedicated learning algorithms obeying to core physical principles, with efficient…

Machine Learning · Computer Science 2025-06-06 Guillaume Pourcel , Maxence Ernoult

Recent studies have shown that deep learning (DL) models can skillfully predict the El Ni\~no-Southern Oscillation (ENSO) forecasts over 1.5 years ahead. However, concerns regarding the reliability of predictions made by DL methods persist,…

Geophysics · Physics 2023-12-19 Pumeng Lyu , Tao Tang , Fenghua Ling , Jing-Jia Luo , Niklas Boers , Wanli Ouyang , Lei Bai

In recent years, machine learning has been used to create data-driven solutions to problems for which an algorithmic solution is intractable, as well as fine-tuning existing algorithms. This research applies machine learning to the…

Computational Physics · Physics 2020-06-24 Ben Stevens , Tim Colonius

To be effective in sequential data processing, Recurrent Neural Networks (RNNs) are required to keep track of past events by creating memories. While the relation between memories and the network's hidden state dynamics was established over…

Machine Learning · Computer Science 2019-09-17 Doron Haviv , Alexander Rivkind , Omri Barak

Recent work has attempted to interpret residual networks (ResNets) as one step of a forward Euler discretization of an ordinary differential equation, focusing mainly on syntactic algebraic similarities between the two systems. Discrete…

Machine Learning · Computer Science 2020-08-07 Alejandro F. Queiruga , N. Benjamin Erichson , Dane Taylor , Michael W. Mahoney

Forecasting complex system dynamics, particularly for long-term predictions, is persistently hindered by error accumulation and computational burdens. This study presents RefreshNet, a multiscale framework developed to overcome these…

Machine Learning · Computer Science 2024-01-25 Junaid Farooq , Danish Rafiq , Pantelis R. Vlachas , Mohammad Abid Bazaz