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We present a method for training a deep neural network containing sinusoidal activation functions to fit to time-series data. Weights are initialized using a fast Fourier transform, then trained with regularization to improve…

Neural and Evolutionary Computing · Computer Science 2014-05-12 Michael S. Gashler , Stephen C. Ashmore

Sensor-based human activity recognition is important in daily scenarios such as smart healthcare and homes due to its non-intrusive privacy and low cost advantages, but the problem of out-of-domain generalization caused by differences in…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Jianguo Pan , Zhengxin Hu , Lingdun Zhang , Xia Cai

Spatial time series forecasting problems arise in a broad range of applications, such as environmental and transportation problems. These problems are challenging because of the existence of specific spatial, short-term and long-term…

Machine Learning · Computer Science 2019-02-05 Reza Asadi , Amelia Regan

Seasonal time series exhibit intricate long-term dependencies, posing a significant challenge for accurate future prediction. This paper introduces the Multi-scale Seasonal Decomposition Model (MSSD) for seasonal time-series forecasting.…

Machine Learning · Computer Science 2024-12-18 Yining Pang , Chenghan Li

A new variational mode decomposition (VMD) based deep learning approach is proposed in this paper for time series forecasting problem. Firstly, VMD is adopted to decompose the original time series into several sub-signals. Then, a…

Machine Learning · Statistics 2020-02-25 Guowei Zhang , Tao Ren , Yifan Yang

There is a broad need in the neuroscience community to understand and visualize large-scale recordings of neural activity, big data acquired by tens or hundreds of electrodes simultaneously recording dynamic brain activity over minutes to…

Neurons and Cognition · Quantitative Biology 2015-11-24 Bingni W. Brunton , Lise A. Johnson , Jeffrey G. Ojemann , J. Nathan Kutz

We propose a modularization method that decomposes a deep neural network (DNN) into small modules from a functionality perspective and recomposes them into a new model for some other task. Decomposed modules are expected to have the…

Machine Learning · Computer Science 2021-12-28 Hiroaki Kingetsu , Kenichi Kobayashi , Taiji Suzuki

Since Huang proposed the Empirical Mode Decomposition (EMD) in 1998, mode decomposition has been widely studied, but EMD and relative developed algorithms are still generally lack of adaptability and mathematical theory. This paper propose…

Signal Processing · Electrical Eng. & Systems 2021-08-27 Hu Yiting , Wu Zhuangzhi

Convolutional neural networks (CNN) have demonstrated remarkable performance when the training and testing data are from the same distribution. However, such trained CNN models often largely degrade on testing data which is unseen and…

Computer Vision and Pattern Recognition · Computer Science 2022-10-27 Haozhe Liu , Wentian Zhang , Jinheng Xie , Haoqian Wu , Bing Li , Ziqi Zhang , Yuexiang Li , Yawen Huang , Bernard Ghanem , Yefeng Zheng

The analysis of variance (ANOVA) decomposition offers a systematic method to understand the interaction effects that contribute to a specific decision output. In this paper we introduce Neural-ANOVA, an approach to decompose neural networks…

Machine Learning · Statistics 2025-08-01 Steffen Limmer , Steffen Udluft , Clemens Otte

Tensor decomposition methods are widely used for model compression and fast inference in convolutional neural networks (CNNs). Although many decompositions are conceivable, only CP decomposition and a few others have been applied in…

Machine Learning · Computer Science 2019-11-28 Kohei Hayashi , Taiki Yamaguchi , Yohei Sugawara , Shin-ichi Maeda

Many methods aim to enhance time series forecasting by decomposing the series through intricate model structures and prior knowledge, yet they are inevitably limited by computational complexity and the robustness of the assumptions. Our…

Machine Learning · Computer Science 2025-10-07 Hanzhong Cao , Wenbo Yan , Ying Tan

Long-term forecasting of multivariate urban data poses a significant challenge due to the complex spatiotemporal dependencies inherent in such datasets. This paper presents DST, a novel multivariate time-series forecasting model that…

Machine Learning · Computer Science 2025-08-28 Amirhossein Sohrabbeig , Omid Ardakanian , Petr Musilek

Time series forecasting presents significant challenges in real-world applications across various domains. Building upon the decomposition of the time series, we enhance the architecture of machine learning models for better multivariate…

Machine Learning · Computer Science 2026-02-24 Sanjeev Panta , Xu Yuan , Li Chen , Nian-Feng Tzeng

In time series forecasting, effectively disentangling intricate temporal patterns is crucial. While recent works endeavor to combine decomposition techniques with deep learning, multiple frequencies may still be mixed in the decomposed…

Artificial Intelligence · Computer Science 2024-03-27 Xiaobing Yuan , Ling Chen

As neural networks grow in scale, their training becomes both computationally demanding and rich in dynamics. Amidst the flourishing interest in these training dynamics, we present a novel observation: Parameters during training exhibit…

Machine Learning · Computer Science 2024-07-24 Jonathan Brokman , Roy Betser , Rotem Turjeman , Tom Berkov , Ido Cohen , Guy Gilboa

Predicting and understanding the chaotic dynamics in complex systems is essential in various applications. However, conventional approaches, whether full-scale simulations or small-scale omissions, fail to offer a comprehensive solution.…

Computational Physics · Physics 2024-03-28 Pengyu Lai , Jing Wang , Rui Wang , Dewu Yang , Haoqi Fei , Hui Xu

Decomposing complex time series into trend, seasonality, and remainder components is an important task to facilitate time series anomaly detection and forecasting. Although numerous methods have been proposed, there are still many time…

Machine Learning · Computer Science 2018-12-06 Qingsong Wen , Jingkun Gao , Xiaomin Song , Liang Sun , Huan Xu , Shenghuo Zhu

Seismic data processing algorithms greatly benefit from regularly sampled and reliable data. Therefore, interpolation and denoising play a fundamental role as one of the starting steps of most seismic processing workflows. We exploit…

Neural and Evolutionary Computing · Computer Science 2019-10-22 Sara Mandelli , Vincenzo Lipari , Paolo Bestagini , Stefano Tubaro

We utilize machine learning models which are based on recurrent neural networks to optimize dynamical decoupling (DD) sequences. DD is a relatively simple technique for suppressing the errors in quantum memory for certain noise models. In…

Quantum Physics · Physics 2017-02-01 Moritz August , Xiaotong Ni
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