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Embeddings are a fundamental component of many modern machine learning and natural language processing models. Understanding them and visualizing them is essential for gathering insights about the information they capture and the behavior…

Computation and Language · Computer Science 2019-05-30 Piero Molino , Yang Wang , Jiawei Zhang

A common pipeline in functional data analysis is to first convert the discretely observed data to smooth functions, and then represent the functions by a finite-dimensional vector of coefficients summarizing the information. Existing…

Machine Learning · Computer Science 2024-01-19 Sidi Wu , Cédric Beaulac , Jiguo Cao

In finance, economics and many other fields, observations in a matrix form are often generated over time. For example, a set of key economic indicators are regularly reported in different countries every quarter. The observations at each…

Methodology · Statistics 2019-07-25 Rong Chen , Han Xiao , Dan Yang

An increasing body of research focuses on using neural networks to model time series. A common assumption in training neural networks via maximum likelihood estimation on time series is that the errors across time steps are uncorrelated.…

Machine Learning · Computer Science 2021-10-12 Fan-Keng Sun , Christopher I. Lang , Duane S. Boning

Time series data is a prevalent form of data found in various fields. It consists of a series of measurements taken over time. Forecasting is a crucial application of time series models, where future values are predicted based on historical…

Machine Learning · Computer Science 2025-09-23 Sahar Koohfar , Wubeshet Woldemariam

In many applications we are interested in making inference on latent time series from indirect measurements, which are often low-dimensional projections resulting from mixing or aggregation. Positron emission tomography, super-resolution,…

Methodology · Statistics 2011-06-13 Alexander W. Blocker , Edoardo M. Airoldi

Time-series generated by end-users, edge devices, and different wearables are mostly unlabelled. We propose a method to auto-generate labels of un-labelled time-series, exploiting very few representative labelled time-series. Our method is…

Machine Learning · Computer Science 2021-07-13 Soma Bandyopadhyay , Anish Datta , Arpan Pal

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

Predictive linear and nonlinear models based on kernel machines or deep neural networks have been used to discover dependencies among time series. This paper proposes an efficient nonlinear modeling approach for multiple time series, with a…

Machine Learning · Computer Science 2023-10-02 Kevin Roy , Luis Miguel Lopez-Ramos , Baltasar Beferull-Lozano

Forecasting can estimate the statement of events according to the historical data and it is considerably important in many disciplines. At present, time series models have been utilized to solve forecasting problems in various domains. In…

Data Analysis, Statistics and Probability · Physics 2014-03-10 S. Chen , X. Lan , Y. Hu , Q. Liu , Y. Deng

How to best develop foundational models for time series forecasting remains an important open question. Tokenization is a crucial consideration in this effort: what is an effective discrete vocabulary for a real-valued sequential input? To…

Times series classification can be successfully tackled by jointly learning a shapelet-based representation of the series in the dataset and classifying the series according to this representation. However, although the learned shapelets…

Machine Learning · Computer Science 2019-06-13 Yichang Wang , Rémi Emonet , Elisa Fromont , Simon Malinowski , Etienne Menager , Loïc Mosser , Romain Tavenard

We present a method to increase the resolution of measurements of a physical system and subsequently predict its time evolution using thermodynamics-aware neural networks. Our method uses adversarial autoencoders, which reduce the…

Computational Physics · Physics 2024-07-24 Carlos Bermejo-Barbanoj , Beatriz Moya , Alberto Badías , Francisco Chinesta , Elías Cueto

Learning compressed representations of multivariate time series (MTS) facilitates data analysis in the presence of noise and redundant information, and for a large number of variates and time steps. However, classical dimensionality…

Neural and Evolutionary Computing · Computer Science 2019-07-17 Filippo Maria Bianchi , Lorenzo Livi , Karl Øyvind Mikalsen , Michael Kampffmeyer , Robert Jenssen

Inspired by the success of deep learning techniques in the physical and chemical sciences, we apply a modification of an autoencoder type deep neural network to the task of dimension reduction of molecular dynamics data. We can show that…

Machine Learning · Statistics 2018-04-04 Christoph Wehmeyer , Frank Noé

Visualizing high-dimensional data has been a focus in data analysis communities for decades, which has led to the design of many algorithms, some of which are now considered references (such as t-SNE for example). In our era of overwhelming…

Machine Learning · Computer Science 2017-02-21 Johan Paratte , Nathanaël Perraudin , Pierre Vandergheynst

Anomaly detection is a classical but worthwhile problem, and many deep learning-based anomaly detection algorithms have been proposed, which can usually achieve better detection results than traditional methods. In view of reconstruct…

Machine Learning · Computer Science 2020-04-16 Chunkai Zhang , Shaocong Li , Hongye Zhang , Yingyang Chen

This work presents an introduction to feature-based time-series analysis. The time series as a data type is first described, along with an overview of the interdisciplinary time-series analysis literature. I then summarize the range of…

Machine Learning · Computer Science 2017-10-03 Ben D. Fulcher

Data augmentation can significantly enhance the performance of machine learning tasks by addressing data scarcity and improving generalization. However, generating time series data presents unique challenges. A model must not only learn a…

Machine Learning · Computer Science 2025-01-06 MohammadReza EskandariNasab , Shah Muhammad Hamdi , Soukaina Filali Boubrahimi

With the increasing availability of high-dimensional data, analysts often rely on exploratory data analysis to understand complex data sets. A key approach to exploring such data is dimensionality reduction, which embeds high-dimensional…

Machine Learning · Computer Science 2024-12-17 Pavlin G. Poličar , Blaž Zupan