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Recent work in deep learning focuses on solving physical systems in the Ordinary Differential Equation or Partial Differential Equation. This current work proposed a variant of Convolutional Neural Networks (CNNs) that can learn the hidden…

机器学习 · 计算机科学 2021-11-02 Mansura Habiba , Barak A. Pearlmutter

The existing Neural ODE formulation relies on an explicit knowledge of the termination time. We extend Neural ODEs to implicitly defined termination criteria modeled by neural event functions, which can be chained together and…

机器学习 · 计算机科学 2021-10-28 Ricky T. Q. Chen , Brandon Amos , Maximilian Nickel

The continuous dynamics of natural systems has been effectively modelled using Neural Ordinary Differential Equations (Neural ODEs). However, for accurate and meaningful predictions, it is crucial that the models follow the underlying rules…

机器学习 · 计算机科学 2024-03-06 C. Coelho , M. Fernanda P. Costa , L. L. Ferrás

Modeling dynamical systems is crucial across the science and engineering fields for accurate prediction, control, and decision-making. Recently, machine learning (ML) approaches, particularly neural ordinary differential equations (NODEs),…

系统与控制 · 电气工程与系统科学 2026-04-20 Fatima Al-Janahi , Min-Seung Ko , Hao Zhu

Measurement noise is an integral part while collecting data of a physical process. Thus, noise removal is necessary to draw conclusions from these data, and it often becomes essential to construct dynamical models using these data. We…

机器学习 · 计算机科学 2022-05-20 Pawan Goyal , Peter Benner

The goal of this paper is to investigate distributed temporal difference (TD) learning for a networked multi-agent Markov decision process. The proposed approach is based on distributed optimization algorithms, which can be interpreted as…

机器学习 · 计算机科学 2025-05-14 Han-Dong Lim , Donghwan Lee

Human emotion is expressed in many communication modalities and media formats and so their computational study is equally diversified into natural language processing, audio signal analysis, computer vision, etc. Similarly, the large…

机器学习 · 计算机科学 2023-08-16 Sven Buechel , Udo Hahn

Current works in human emotion recognition follow the traditional closed learning approach governed by rigid rules without any consideration of novelty. Classification models are trained on some collected datasets and expected to have the…

计算机视觉与模式识别 · 计算机科学 2023-06-16 Mijanur Palash , Bharat Bhargava

In this paper, we focus on the challenge of individual variability in affective brain-computer interfaces (aBCI), which employs electroencephalogram (EEG) signals to monitor and recognize human emotional states, thereby facilitating the…

人机交互 · 计算机科学 2025-02-25 Jiahao Tang

Irregularly measured time series are common in many of the applied settings in which time series modelling is a key statistical tool, including medicine. This provides challenges in model choice, often necessitating imputation or similar…

Poverty is a complex dynamic challenge that cannot be adequately captured using predefined differential equations. Nowadays, artificial machine learning (ML) methods have demonstrated significant potential in modelling real-world dynamical…

动力系统 · 数学 2026-04-02 Sandeep Kumar Samota , Snehashish Chakraverty , Narayan Sethi

Neural ODEs (NODEs) have emerged as powerful tools for modeling time series data, offering the flexibility to adapt to varying input scales and capture complex dynamics. However, they face significant challenges: first, their reliance on…

机器学习 · 计算机科学 2025-10-07 Muhao Guo , Yang Weng

End-to-end learning of dynamical systems with black-box models, such as neural ordinary differential equations (ODEs), provides a flexible framework for learning dynamics from data without prescribing a mathematical model for the dynamics.…

机器学习 · 统计学 2022-06-20 Paidamoyo Chapfuwa , Sherri Rose , Lawrence Carin , Edward Meeds , Ricardo Henao

We study the ability of neural networks to calculate feedback control signals that steer trajectories of continuous time non-linear dynamical systems on graphs, which we represent with neural ordinary differential equations (neural ODEs).…

机器学习 · 计算机科学 2022-06-22 Thomas Asikis , Lucas Böttcher , Nino Antulov-Fantulin

This article investigates the effect of explicitly adding auxiliary algebraic trajectory information to neural networks for dynamical systems. We draw inspiration from the field of differential-algebraic equations and differential equations…

机器学习 · 计算机科学 2024-03-13 Tue Boesen , Eldad Haber , Uri Michael Ascher

Automatic affect recognition is a challenging task due to the various modalities emotions can be expressed with. Applications can be found in many domains including multimedia retrieval and human computer interaction. In recent years, deep…

计算机视觉与模式识别 · 计算机科学 2018-02-14 Panagiotis Tzirakis , George Trigeorgis , Mihalis A. Nicolaou , Björn Schuller , Stefanos Zafeiriou

While tumor dynamic modeling has been widely applied to support the development of oncology drugs, there remains a need to increase predictivity, enable personalized therapy, and improve decision-making. We propose the use of Tumor Dynamic…

定量方法 · 定量生物学 2023-10-24 Mark Laurie , James Lu

Emotions play an important role in people's life. Understanding and recognising is not only important for interpersonal communication, but also has promising applications in Human-Computer Interaction, automobile safety and medical…

机器学习 · 计算机科学 2019-12-17 Xia Yicheng , Dimitrios Kollias

In automatic emotion recognition (AER), labels assigned by different human annotators to the same utterance are often inconsistent due to the inherent complexity of emotion and the subjectivity of perception. Though deterministic labels…

声音 · 计算机科学 2024-04-02 Wen Wu , Chao Zhang , Philip C. Woodland

Emotion recognition is a key attribute for artificial intelligence systems that need to naturally interact with humans. However, the task definition is still an open problem due to the inherent ambiguity of emotions. In this paper, a novel…

计算与语言 · 计算机科学 2024-04-02 Wen Wu , Chao Zhang , Xixin Wu , Philip C. Woodland