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We consider $N$-way data arrays and low-rank tensor factorizations where the time mode is coded as a sparse linear combination of temporal elements from an over-complete library. Our method, Shape Constrained Tensor Decomposition (SCTD) is…

机器学习 · 统计学 2016-08-17 Bethany Lusch , Eric C. Chi , J. Nathan Kutz

Due to limitations in data quality, some essential visual tasks are difficult to perform independently. Introducing previously unavailable information to transfer informative dark knowledge has been a common way to solve such hard tasks.…

计算机视觉与模式识别 · 计算机科学 2023-06-29 Lingyu Si , Hongwei Dong , Wenwen Qiang , Junzhi Yu , Wenlong Zhai , Changwen Zheng , Fanjiang Xu , Fuchun Sun

We address the problem of unsupervised semantic segmentation of outdoor LiDAR point clouds in diverse traffic scenarios. The key idea is to leverage the spatiotemporal nature of a dynamic point cloud sequence and introduce drastically…

计算机视觉与模式识别 · 计算机科学 2023-08-25 Xiao Li , Pan He , Aotian Wu , Sanjay Ranka , Anand Rangarajan

Detecting anomalies has become an increasingly critical function in the financial service industry. Anomaly detection is frequently used in key compliance and risk functions such as financial crime detection fraud and cybersecurity. The…

机器学习 · 计算机科学 2023-12-29 Hongda Shen , Eren Kurshan

The purpose of partial multi-label feature selection is to select the most representative feature subset, where the data comes from partial multi-label datasets that have label ambiguity issues. For label disambiguation, previous methods…

机器学习 · 计算机科学 2025-03-14 Hanlin Pan , Kunpeng Liu , Wanfu Gao

We introduce Variational Latent Mode Decomposition (VLMD), a new algorithm for extracting oscillatory modes and associated connectivity structures from multivariate signals. VLMD addresses key limitations of existing Multivariate Mode…

机器学习 · 计算机科学 2025-05-26 Manuel Morante , Naveed ur Rehman

Signal decomposition (SD) approaches aim to decompose non-stationary signals into their constituent amplitude- and frequency-modulated components. This represents an important preprocessing step in many practical signal processing…

信号处理 · 电气工程与系统科学 2022-09-05 Thomas Eriksen , Naveed ur Rehman

The decomposition of a time series is an essential task that helps to understand its very nature. It facilitates the analysis and forecasting of complex time series expressing various hidden components such as the trend, seasonal…

统计方法学 · 统计学 2022-04-25 Grzegorz Dudek

Given multiple time series data, how can we efficiently find latent patterns in an arbitrary time range? Singular value decomposition (SVD) is a crucial tool to discover hidden factors in multiple time series data, and has been used in many…

数值分析 · 计算机科学 2018-12-21 Jun-Gi Jang , Dongjin Choi , Jinhong Jung , U Kang

A novel data-driven method of modal analysis for complex flow dynamics, termed as reduced-order variational mode decomposition (RVMD), has been proposed, combining the idea of the separation of variables and a state-of-the-art nonstationary…

流体动力学 · 物理学 2022-09-27 Zi-Mo Liao , Zhiye Zhao , Liang-Bing Chen , Zhen-Hua Wan , Nan-Sheng Liu , Xi-Yun Lu

We propose a method for learning dynamical systems from high-dimensional empirical data that combines variational autoencoders and (spatio-)temporal attention within a framework designed to enforce certain scientifically-motivated…

机器学习 · 计算机科学 2023-06-22 Kai Lagemann , Christian Lagemann , Sach Mukherjee

Large volumes of spatio-temporal data are increasingly collected and studied in diverse domains including, climate science, social sciences, neuroscience, epidemiology, transportation, mobile health, and Earth sciences. Spatio-temporal data…

机器学习 · 计算机科学 2017-11-20 Gowtham Atluri , Anuj Karpatne , Vipin Kumar

We present a sparse coding-based framework for motion style decomposition and synthesis. Dynamic Time Warping is firstly used to synchronized input motions in the time domain as a pre-processing step. A sparse coding-based decomposition has…

多媒体 · 计算机科学 2018-11-19 Xuan Thanh Nguyen , Thanh Ha Le , Hongchuan Yu

Denoising Diffusion Models (DDMs) have emerged as a strong competitor to Generative Adversarial Networks (GANs). However, despite their widespread use in image synthesis and editing applications, their latent space is still not as well…

计算机视觉与模式识别 · 计算机科学 2024-05-30 René Haas , Inbar Huberman-Spiegelglas , Rotem Mulayoff , Stella Graßhof , Sami S. Brandt , Tomer Michaeli

We propose Comprehensive Robust Dynamic Mode Decomposition (CR-DMD), a novel framework that robustifies the entire DMD process - from mode extraction to dimensional reduction - against mixed noise. Although standard DMD widely used for…

信号处理 · 电气工程与系统科学 2026-01-19 Yuki Nakamura , Shingo Takemoto , Shunsuke Ono

Learning predictive models for unlabeled spatiotemporal data is challenging in part because visual dynamics can be highly entangled in real scenes, making existing approaches prone to overfit partial modes of physical processes while…

机器学习 · 计算机科学 2021-10-14 Zhiyu Yao , Yunbo Wang , Haixu Wu , Jianmin Wang , Mingsheng Long

Data series classification is an important and challenging problem in data science. Explaining the classification decisions by finding the discriminant parts of the input that led the algorithm to some decisions is a real need in many…

机器学习 · 计算机科学 2022-07-26 Paul Boniol , Mohammed Meftah , Emmanuel Remy , Themis Palpanas

We introduce a computationally efficient method for the automation of inverse design in science and engineering. Based on simple least-square regression, the underlying dynamic mode decomposition algorithm can be used to construct a…

机器学习 · 计算机科学 2025-02-14 Yunpeng Zhu , Liangliang Cheng , Anping Jing , Hanyu Huo , Ziqiang Lang , Bo Zhang , J. Nathan Kutz

The analysis of nonlinear dynamical systems based on the Koopman operator is attracting attention in various applications. Dynamic mode decomposition (DMD) is a data-driven algorithm for Koopman spectral analysis, and several variants with…

动力系统 · 数学 2017-10-31 Naoya Takeishi , Yoshinobu Kawahara , Takehisa Yairi

It is currently difficult to distill discrete diffusion models. In contrast, continuous diffusion literature has many distillation approaches methods that can reduce sampling steps to a handful. Our method, Discrete Moment Matching…

机器学习 · 计算机科学 2026-03-23 Emiel Hoogeboom , David Ruhe , Jonathan Heek , Thomas Mensink , Tim Salimans