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We propose robust methods to identify underlying Partial Differential Equation (PDE) from a given set of noisy time dependent data. We assume that the governing equation is a linear combination of a few linear and nonlinear differential…

数值分析 · 数学 2023-03-03 Yuchen He , Sung Ha Kang , Wenjing Liao , Hao Liu , Yingjie Liu

Neural operators have emerged as promising surrogate models for solving partial differential equations (PDEs), but struggle to generalise beyond training distributions and are often constrained to a fixed temporal discretisation. This work…

When learning dynamical systems from data, embedding physical structure can constrain the solution space and improve generalization, but many physics-informed models assume access to the full system state. This limits their use in partially…

机器学习 · 计算机科学 2026-05-25 Sunniva Meltzer , Sølve Eidnes , Alexander Johannes Stasik

Recently, Chinese word segmentation (CWS) methods using neural networks have made impressive progress. Most of them regard the CWS as a sequence labeling problem which construct models based on local features rather than considering global…

计算与语言 · 计算机科学 2019-12-02 Xuewen Shi , Heyan Huang , Ping Jian , Yuhang Guo , Xiaochi Wei , Yi-Kun Tang

In this work, we present a machine learning approach for reducing the error when numerically solving time-dependent partial differential equations (PDE). We use a fully convolutional LSTM network to exploit the spatiotemporal dynamics of…

机器学习 · 计算机科学 2020-02-11 Ben Stevens , Tim Colonius

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…

机器学习 · 计算机科学 2021-11-09 Shiqi Gong , Qi Meng , Yue Wang , Lijun Wu , Wei Chen , Zhi-Ming Ma , Tie-Yan Liu

Wake word (WW) spotting is challenging in far-field not only because of the interference in signal transmission but also the complexity in acoustic environments. Traditional WW model training requires large amount of in-domain WW-specific…

音频与语音处理 · 电气工程与系统科学 2020-10-15 Yixin Gao , Yuriy Mishchenko , Anish Shah , Spyros Matsoukas , Shiv Vitaladevuni

Dynamical systems governed by ordinary differential equations (ODEs) serve as models for a vast number of natural and social phenomena. In this work, we offer a fresh perspective on the classical problem of imputing missing time series…

机器学习 · 计算机科学 2025-03-17 Patrick Seifner , Kostadin Cvejoski , Antonia Körner , Ramsés J. Sánchez

Combinations of neural ODEs with recurrent neural networks (RNN), like GRU-ODE-Bayes or ODE-RNN are well suited to model irregularly observed time series. While those models outperform existing discrete-time approaches, no theoretical…

机器学习 · 统计学 2021-05-11 Calypso Herrera , Florian Krach , Josef Teichmann

This paper describes the system developed by the NPU team for the 2020 personalized voice trigger challenge. Our submitted system consists of two independently trained subsystems: a small footprint keyword spotting (KWS) system and a…

声音 · 计算机科学 2021-03-01 Jingyong Hou , Li Zhang , Yihui Fu , Qing Wang , Zhanheng Yang , Qijie Shao , Lei Xie

Continuous-time deep learning models, such as neural ordinary differential equations (ODEs), offer a promising framework for surrogate modeling of complex physical systems. A central challenge in training these models lies in learning…

机器学习 · 计算机科学 2025-07-30 Haley Rosso , Lars Ruthotto , Khachik Sargsyan

Keyword spotting (KWS) in historical documents is an important tool for the initial exploration of digitized collections. Nowadays, the most efficient KWS methods are relying on machine learning techniques that require a large amount of…

计算机视觉与模式识别 · 计算机科学 2023-03-07 Sana Khamekhem Jemni , Sourour Ammar , Mohamed Ali Souibgui , Yousri Kessentini , Abbas Cheddad

We explore the application of end-to-end stateless temporal modeling to small-footprint keyword spotting as opposed to recurrent networks that model long-term temporal dependencies using internal states. We propose a model inspired by the…

机器学习 · 计算机科学 2019-02-19 Alice Coucke , Mohammed Chlieh , Thibault Gisselbrecht , David Leroy , Mathieu Poumeyrol , Thibaut Lavril

This paper proposes a Sub-band Convolutional Neural Network for spoken term classification. Convolutional neural networks (CNNs) have proven to be very effective in acoustic applications such as spoken term classification, keyword spotting,…

音频与语音处理 · 电气工程与系统科学 2019-07-03 Chieh-Chi Kao , Ming Sun , Yixin Gao , Shiv Vitaladevuni , Chao Wang

We propose a unified framework for delay differential equations (DDEs) based on deep neural networks (DNNs) - the neural delay differential equations (NDDEs), aimed at solving the forward and inverse problems of delay differential…

机器学习 · 计算机科学 2024-08-27 Housen Wang , Yuxing Chen , Sirong Cao , Xiaoli Wang , Qiang Liu

Modeling dynamical systems is crucial for a wide range of tasks, but it remains challenging due to complex nonlinear dynamics, limited observations, or lack of prior knowledge. Recently, data-driven approaches such as Neural Ordinary…

Ordinary differential equations (ODEs) describe dynamical systems evolving deterministically in continuous time. Accurate data-driven modeling of systems as ODEs, a central problem across the natural sciences, remains challenging,…

机器学习 · 计算机科学 2025-10-15 Maximilian Mauel , Manuel Hinz , Patrick Seifner , David Berghaus , Ramses J. Sanchez

In this paper, we address the issue of modeling and estimating changes in the state of the spatio-temporal dynamical systems based on a sequence of observations like video frames. Traditional numerical simulation systems depend largely on…

机器学习 · 计算机科学 2024-02-12 Kun Wang , Hao Wu , Guibin Zhang , Junfeng Fang , Yuxuan Liang , Yuankai Wu , Roger Zimmermann , Yang Wang

We consider the problem of distributed estimation of an unknown deterministic scalar parameter (the target signal) in a wireless sensor network (WSN), where each sensor receives a single snapshot of the field. We assume that the observation…

信息论 · 计算机科学 2015-10-09 Qing Zhou , Di Li , Soummya Kar , Lauren Huie , H. Vincent Poor , Shuguang Cui

For speech recognition, deep neural networks (DNNs) have significantly improved the recognition accuracy in most of benchmark datasets and application domains. However, compared to the conventional Gaussian mixture models, DNN-based…

计算与语言 · 计算机科学 2017-06-15 Liang Lu , Steve Renals
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