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Many physical processes such as weather phenomena or fluid mechanics are governed by partial differential equations (PDEs). Modelling such dynamical systems using Neural Networks is an active research field. However, current methods are…

Machine Learning · Computer Science 2022-10-12 Andrzej Dulny , Andreas Hotho , Anna Krause

Emotion recognition is inherently ambiguous, with uncertainty arising both from rater disagreement and from discrepancies across modalities such as speech and text. There is growing interest in modeling rater ambiguity using label…

Audio and Speech Processing · Electrical Eng. & Systems 2026-01-27 Jingyao Wu , Grace Lin , Yinuo Song , Rosalind Picard

This short, self-contained article seeks to introduce and survey continuous-time deep learning approaches that are based on neural ordinary differential equations (neural ODEs). It primarily targets readers familiar with ordinary and…

Machine Learning · Computer Science 2024-01-09 Lars Ruthotto

Emotion annotation is inherently subjective and cognitively demanding, producing signals that reflect diverse perceptions across annotators rather than a single ground truth. In continuous affect prediction, this variability is typically…

Machine Learning · Computer Science 2026-04-09 Kosmas Pinitas , Ilias Maglogiannis

Recent advances have shown promise in emotion recognition from electroencephalogram (EEG) signals by employing bi-hemispheric neural architectures that incorporate neuroscientific priors into deep learning models. However, interpretability…

Neural ODE Processes approach the problem of meta-learning for dynamics using a latent variable model, which permits a flexible aggregation of contextual information. This flexibility is inherited from the Neural Process framework and…

Machine Learning · Computer Science 2021-04-30 Ben Day , Alexander Norcliffe , Jacob Moss , Pietro Liò

Simple models have been used to describe ecological processes for over a century. However, the complexity of ecological systems makes simple models subject to modeling bias due to simplifying assumptions or unaccounted factors, limiting…

Quantitative Methods · Quantitative Biology 2024-01-24 Jorge Arroyo-Esquivel , Christopher A Klausmeier , Elena Litchman

Recognizing human emotions from complex, multivariate, and non-stationary electroencephalography (EEG) time series is essential in affective brain-computer interface. However, because continuous labeling of ever-changing emotional states is…

Human-Computer Interaction · Computer Science 2022-12-15 Yongtao Zhang , Yue Pan , Yulin Zhang , Linling Li , Li Zhang , Gan Huang , Zhen Liang , Zhiguo Zhang

Negative emotions are linked to the onset of neurodegenerative diseases and dementia, yet they are often difficult to detect through observation. Physiological signals from wearable devices offer a promising noninvasive method for…

Human-Computer Interaction · Computer Science 2025-10-28 Muhammad Irfan , Anum Nawaz , Ayse Kosal Bulbul , Riku Klen , Abdulhamit Subasi , Tomi Westerlund , Wei Chen

Neural Ordinary Differential Equations (NODEs) are a new class of models that transform data continuously through infinite-depth architectures. The continuous nature of NODEs has made them particularly suitable for learning the dynamics of…

Machine Learning · Computer Science 2020-10-22 Alexander Norcliffe , Cristian Bodnar , Ben Day , Nikola Simidjievski , Pietro Liò

By interpreting the forward dynamics of the latent representation of neural networks as an ordinary differential equation, Neural Ordinary Differential Equation (Neural ODE) emerged as an effective framework for modeling a system dynamics…

Machine Learning · Computer Science 2020-10-19 Daehoon Gwak , Gyuhyeon Sim , Michael Poli , Stefano Massaroli , Jaegul Choo , Edward Choi

Emotional expressions are the behaviors that communicate our emotional state or attitude to others. They are expressed through verbal and non-verbal communication. Complex human behavior can be understood by studying physical features from…

Computer Vision and Pattern Recognition · Computer Science 2021-09-15 Liam Schoneveld , Alice Othmani , Hazem Abdelkawy

Neural Ordinary Differential Equations (ODEs) are elegant reinterpretations of deep networks where continuous time can replace the discrete notion of depth, ODE solvers perform forward propagation, and the adjoint method enables efficient,…

Neural ordinary differential equations (Neural ODEs) are an effective framework for learning dynamical systems from irregularly sampled time series data. These models provide a continuous-time latent representation of the underlying…

Machine Learning · Computer Science 2023-03-06 Edward De Brouwer , Rahul G. Krishnan

Neural networks inspired by differential equations have proliferated for the past several years. Neural ordinary differential equations (NODEs) and neural controlled differential equations (NCDEs) are two representative examples of them. In…

Machine Learning · Computer Science 2021-11-17 Sheo Yon Jhin , Heejoo Shin , Seoyoung Hong , Solhee Park , Noseong Park

The dynamics of affective decision making is considered for an intelligent network composed of agents with different types of memory: long-term and short-term memory. The consideration is based on probabilistic affective decision theory,…

Artificial Intelligence · Computer Science 2023-09-04 V. I. Yukalov , E. P. Yukalova

In data-driven modeling of spatiotemporal phenomena careful consideration often needs to be made in capturing the dynamics of the high wavenumbers. This problem becomes especially challenging when the system of interest exhibits shocks or…

Machine Learning · Computer Science 2022-12-28 Alec J. Linot , Joshua W. Burby , Qi Tang , Prasanna Balaprakash , Michael D. Graham , Romit Maulik

Learning dynamics governed by differential equations is crucial for predicting and controlling the systems in science and engineering. Neural Ordinary Differential Equation (NODE), a deep learning model integrated with differential…

Machine Learning · Computer Science 2021-11-09 Shiqi Gong , Qi Meng , Yue Wang , Lijun Wu , Wei Chen , Zhi-Ming Ma , Tie-Yan Liu

Emotions are subjective constructs. Recent end-to-end speech emotion recognition systems are typically agnostic to the subjective nature of emotions, despite their state-of-the-art performance. In this work, we introduce an end-to-end…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-28 Navin Raj Prabhu , Guillaume Carbajal , Nale Lehmann-Willenbrock , Timo Gerkmann

Classification of human emotions can play an essential role in the design and improvement of human-machine systems. While individual biological signals such as Electrocardiogram (ECG) and Electrodermal Activity (EDA) have been widely used…

Machine Learning · Computer Science 2021-08-06 Anubhav Bhatti , Behnam Behinaein , Dirk Rodenburg , Paul Hungler , Ali Etemad