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This paper presents a proper generalized decomposition (PGD) based reduced-order model of hierarchical deep-learning neural networks (HiDeNN). The proposed HiDeNN-PGD method keeps both advantages of HiDeNN and PGD methods. The automatic…

数值分析 · 数学 2022-01-12 Lei Zhang , Ye Lu , Shaoqiang Tang , Wing Kam Liu

Some recent methods, like the Empirical Mode Decomposition (EMD), propose to decompose a signal accordingly to its contained information. Even though its adaptability seems useful for many applications, the main issue with this approach is…

泛函分析 · 数学 2024-11-01 Jerome Gilles

With the remarkable success of deep learning recently, efficient network compression algorithms are urgently demanded for releasing the potential computational power of edge devices, such as smartphones or tablets. However, optimal network…

计算机视觉与模式识别 · 计算机科学 2022-02-01 Yuzhang Shang , Bin Duan , Ziliang Zong , Liqiang Nie , Yan Yan

The dynamic mode decomposition (DMD) has become a leading tool for data-driven modeling of dynamical systems, providing a regression framework for fitting linear dynamical models to time-series measurement data. We present a simple…

数值分析 · 数学 2017-04-11 Travis Askham , J. Nathan Kutz

Can we take a recurrent neural network (RNN) trained to translate between languages and augment it to support a new natural language without retraining the model from scratch? Can we fix the faulty behavior of the RNN by replacing portions…

软件工程 · 计算机科学 2023-02-10 Sayem Mohammad Imtiaz , Fraol Batole , Astha Singh , Rangeet Pan , Breno Dantas Cruz , Hridesh Rajan

Despite the enormous success of artificial neural networks (ANNs) in many disciplines, the characterization of their computations and the origin of key properties such as generalization and robustness remain open questions. Recent…

计算机视觉与模式识别 · 计算机科学 2022-03-18 Nikos Karantzas , Emma Besier , Josue Ortega Caro , Xaq Pitkow , Andreas S. Tolias , Ankit B. Patel , Fabio Anselmi

We present a Fourier-based machine learning technique that characterizes and detects facial emotions. The main challenging task in the development of machine learning (ML) models for classifying facial emotions is the detection of accurate…

计算机视觉与模式识别 · 计算机科学 2021-12-07 Aishwarya Gouru , Shan Suthaharan

This paper introduces a novel algorithmic framework for a deep neural network (DNN), which in a mathematically rigorous manner, allows us to incorporate history (or memory) into the network -- it ensures all layers are connected to one…

最优化与控制 · 数学 2020-04-03 Harbir Antil , Ratna Khatri , Rainald Löhner , Deepanshu Verma

A non-parametric complementary ensemble empirical mode decomposition (NPCEEMD) is proposed for identifying bearing defects using weak features. NPCEEMD is non-parametric because, unlike existing decomposition methods such as ensemble…

信号处理 · 电气工程与系统科学 2023-10-03 Anil Kumar , Yaakoub Berrouche , Radosław Zimroz , Govind Vashishtha , Sumika Chauhan , C. P. Gandhi , Hesheng Tang , Jiawei Xiang

In this paper, a generic extension of variational mode decomposition (VMD) algorithm for multivariate or multichannel data sets is presented. We first define a model for multivariate modulated oscillations that is based on the presence of a…

信号处理 · 电气工程与系统科学 2020-01-08 Naveed ur Rehman , Hania Aftab

Most existing federated learning algorithms are based on the vanilla FedAvg scheme. However, with the increase of data complexity and the number of model parameters, the amount of communication traffic and the number of iteration rounds for…

机器学习 · 计算机科学 2024-01-30 Xiaolin Zheng , Senci Ying , Fei Zheng , Jianwei Yin , Longfei Zheng , Chaochao Chen , Fengqin Dong

As a promising approach in model compression, knowledge distillation improves the performance of a compact model by transferring the knowledge from a cumbersome one. The kind of knowledge used to guide the training of the student is…

计算机视觉与模式识别 · 计算机科学 2022-07-13 Tao Liu , Xi Yang , Chenshu Chen

Dynamic mode decomposition (DMD) is a data-driven method of extracting spatial-temporal coherent modes from complex systems and providing an equation-free architecture to model and predict systems. However, in practical applications, the…

系统与控制 · 电气工程与系统科学 2024-10-07 Ningxin Liu , Shuigen Liu , Xin T. Tong , Lijian Jiang

Training of deep neural networks (DNNs) frequently involves optimizing several millions or even billions of parameters. Even with modern computing architectures, the computational expense of DNN training can inhibit, for instance, network…

机器学习 · 计算机科学 2020-06-26 Mauricio E. Tano , Gavin D. Portwood , Jean C. Ragusa

While deep learning algorithms demonstrate a great potential in scientific computing, its application to multi-scale problems remains to be a big challenge. This is manifested by the "frequency principle" that neural networks tend to learn…

机器学习 · 计算机科学 2021-12-17 Xi-An Li , Zhi-Qin John Xu , Lei Zhang

Dynamic Mode Decomposition (DMD) is a data-driven modal decomposition technique that extracts coherent spatio-temporal structures from high-dimensional time-series data. By decomposing the dynamics into a set of modes, each associated with…

流体动力学 · 物理学 2026-05-05 Yutaro Tanaka , Hiroya Nakao

This paper proposes a novel approach for heartbeat classification from single-lead electrocardiogram (ECG) signals based on the novel adaptive Fourier decomposition (AFD). AFD is a recently developed signal processing tool that provides…

信号处理 · 电气工程与系统科学 2019-06-19 Chunyu Tan , Liming Zhang , Hau-tieng Wu , Tao Qian

We introduce the method of compressed dynamic mode decomposition (cDMD) for background modeling. The dynamic mode decomposition (DMD) is a regression technique that integrates two of the leading data analysis methods in use today: Fourier…

计算机视觉与模式识别 · 计算机科学 2016-12-13 N. Benjamin Erichson , Steven L. Brunton , J. Nathan Kutz

In this paper, deep neural network (DNN) is integrated with spatial modulation-orthogonal frequency division multiplexing (SM-OFDM) technique for end-to-end data detection over Rayleigh fading channel. This proposed system directly…

信号处理 · 电气工程与系统科学 2021-09-16 Ahmed M. Badi , Taissir Y. Elganimi , Osama A. S. Alkishriwo , Nadia Adem

Recent learning-based lossless image compression methods encode an image in the unit of subimages and achieve comparable performances to conventional non-learning algorithms. However, these methods do not consider the performance drop in…

图像与视频处理 · 电气工程与系统科学 2021-12-14 Hochang Rhee , Yeong Il Jang , Seyun Kim , Nam Ik Cho