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This paper proposes a novel approach to construct data-driven online solutions to optimization problems (P) subject to a class of distributionally uncertain dynamical systems. The introduced framework allows for the simultaneous learning of…

系统与控制 · 电气工程与系统科学 2024-07-23 Dan Li , Dariush Fooladivanda , Sonia Martinez

Controlling continuous-time dynamical systems is generally a two step process: first, identify or model the system dynamics with differential equations, then, minimize the control objectives to achieve optimal control function and optimal…

人工智能 · 计算机科学 2024-04-23 Cheng Chi

Neural Ordinary Differential Equations (NODEs), a framework of continuous-depth neural networks, have been widely applied, showing exceptional efficacy in coping with some representative datasets. Recently, an augmented framework has been…

机器学习 · 计算机科学 2021-02-23 Qunxi Zhu , Yao Guo , Wei Lin

Neural controlled differential equations (Neural CDEs) are a continuous-time extension of recurrent neural networks (RNNs), achieving state-of-the-art (SOTA) performance at modelling functions of irregular time series. In order to interpret…

机器学习 · 计算机科学 2021-06-22 James Morrill , Patrick Kidger , Lingyi Yang , Terry Lyons

The goal of continuous emotion recognition is to assign an emotion value to every frame in a sequence of acoustic features. We show that incorporating long-term temporal dependencies is critical for continuous emotion recognition tasks. To…

Time-continuous dimensional descriptions of emotions (e.g., arousal, valence) allow researchers to characterize short-time changes and to capture long-term trends in emotion expression. However, continuous emotion labels are generally not…

机器学习 · 计算机科学 2019-07-22 Soheil Khorram , Melvin G McInnis , Emily Mower Provost

Most automatic emotion recognition systems exploit time-continuous annotations of emotion to provide fine-grained descriptions of spontaneous expressions as observed in real-life interactions. As emotion is rather subjective, its annotation…

声音 · 计算机科学 2022-09-22 Sina Alisamir , Fabien Ringeval , Francois Portet

Since the advent of the ``Neural Ordinary Differential Equation (Neural ODE)'' paper, learning ODEs with deep learning has been applied to system identification, time-series forecasting, and related areas. Exploiting the diffeomorphic…

机器学习 · 统计学 2025-08-27 Yuji Okamoto , Tomoya Takeuchi , Yusuke Sakemi

Neural Ordinary Differential Equations (NODEs) have proven to be a powerful modeling tool for approximating (interpolation) and forecasting (extrapolation) irregularly sampled time series data. However, their performance degrades…

机器学习 · 计算机科学 2020-04-29 Hammad A. Ayyubi , Yi Yao , Ajay Divakaran

The neural Ordinary Differential Equation (ODE) model has shown success in learning complex continuous-time processes from observations on discrete time stamps. In this work, we consider the modeling and forecasting of time series data that…

机器学习 · 统计学 2023-06-05 Yixuan Tan , Liyan Xie , Xiuyuan Cheng

Forecasting over graph-structured sensor networks demands models that capture both deterministic spatial trends and stochastic variability, while remaining efficient enough for repeated inference as new observations arrive. We propose…

机器学习 · 计算机科学 2026-04-02 Hanlin Dong , Arian Prabowo , Hao Xue , Ao Shuang , Tianyi Zhou , Flora D. Salim

The well-known generalization problem hinders the application of artificial neural networks in continuous-time prediction tasks with varying latent dynamics. In sharp contrast, biological systems can neatly adapt to evolving environments…

机器学习 · 计算机科学 2025-03-10 Jindou Jia , Zihan Yang , Meng Wang , Kexin Guo , Jianfei Yang , Xiang Yu , Lei Guo

Neural ordinary differential equations (NODEs) presented a new paradigm to construct (continuous-time) neural networks. While showing several good characteristics in terms of the number of parameters and the flexibility in constructing…

机器学习 · 计算机科学 2021-06-01 Sheo Yon Jhin , Minju Jo , Taeyong Kong , Jinsung Jeon , Noseong Park

Neural Ordinary Differential Equations (NODEs), a framework of continuous-depth neural networks, have been widely applied, showing exceptional efficacy in coping with representative datasets. Recently, an augmented framework has been…

机器学习 · 计算机科学 2023-04-12 Qunxi Zhu , Yao Guo , Wei Lin

Automatically recognising apparent emotions from face and voice is hard, in part because of various sources of uncertainty, including in the input data and the labels used in a machine learning framework. This paper introduces an…

计算机视觉与模式识别 · 计算机科学 2023-10-18 Mani Kumar Tellamekala , Shahin Amiriparian , Björn W. Schuller , Elisabeth André , Timo Giesbrecht , Michel Valstar

Emotions widely affect human decision-making. This fact is taken into account by affective computing with the goal of tailoring decision support to the emotional states of individuals. However, the accurate recognition of emotions within…

计算与语言 · 计算机科学 2018-11-14 Bernhard Kratzwald , Suzana Ilic , Mathias Kraus , Stefan Feuerriegel , Helmut Prendinger

Neural ODEs (NODEs) are continuous-time neural networks (NNs) that can process data without the limitation of time intervals. They have advantages in learning and understanding the evolution of complex real dynamics. Many previous works…

机器学习 · 计算机科学 2024-11-05 Wenjie Mei , Dongzhe Zheng , Shihua Li

Ordinary differential equations (ODEs), via their induced flow maps, provide a powerful framework to parameterize invertible transformations for the purpose of representing complex probability distributions. While such models have achieved…

统计理论 · 数学 2023-09-06 Youssef Marzouk , Zhi Ren , Sven Wang , Jakob Zech

Understanding emotions and expressions is a task of interest across multiple disciplines, especially for improving user experiences. Contrary to the common perception, it has been shown that emotions are not discrete entities but instead…

计算机视觉与模式识别 · 计算机科学 2024-04-24 Niklas Wagner , Felix Mätzler , Samed R. Vossberg , Helen Schneider , Svetlana Pavlitska , J. Marius Zöllner

When performing the resilience enhancement for distribution networks, there are two obstacles to reliably model the uncertain contingencies: 1) decision-dependent uncertainty (DDU) due to various line hardening decisions, and 2)…

系统与控制 · 电气工程与系统科学 2023-10-12 Yujia Li , Shunbo Lei , Wei Sun , Chenxi Hu , Yunhe Hou