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We develop a method that relates the truncated cumulant-function of the fourth order with the L\'evian cumulant-function. This gives us explicit formulas for the L\'evy-parameters, which allow a real-time analysis of the state of a…

Statistical Mechanics · Physics 2019-12-04 Alexander Jurisch

Multivariate time series forecasting plays a pivotal role in contemporary web technologies. In contrast to conventional methods that involve creating dedicated models for specific time series application domains, this research advocates for…

Machine Learning · Computer Science 2024-02-26 Xu Liu , Junfeng Hu , Yuan Li , Shizhe Diao , Yuxuan Liang , Bryan Hooi , Roger Zimmermann

Using a time series model to mimic an observed time series has a long history. However, with regard to this objective, conventional estimation methods for discrete-time dynamical models are frequently found to be wanting. In fact, they are…

Statistics Theory · Mathematics 2015-03-19 Yingcun Xia , Howell Tong

A foundation model is a machine learning model trained on a large and diverse set of data, typically using self-supervised learning-based pre-training techniques, that can be adapted to various downstream tasks. However, current research on…

Recently, remarkable progress has been made over large language models (LLMs), demonstrating their unprecedented capability in varieties of natural language tasks. However, completely training a large general-purpose model from the scratch…

Machine Learning · Computer Science 2024-02-06 Yushan Jiang , Zijie Pan , Xikun Zhang , Sahil Garg , Anderson Schneider , Yuriy Nevmyvaka , Dongjin Song

Time series anomaly detection is critical for supply chain management to take proactive operations, but faces challenges: classical unsupervised anomaly detection based on exploiting data patterns often yields results misaligned with…

Machine Learning · Computer Science 2026-01-28 Haoting Zhang , Shekhar Jain

Irregularly sampled time series data arise naturally in many application domains including biology, ecology, climate science, astronomy, and health. Such data represent fundamental challenges to many classical models from machine learning…

Machine Learning · Computer Science 2021-01-07 Satya Narayan Shukla , Benjamin M. Marlin

Temporal logic rules are often used in control and robotics to provide structured, human-interpretable descriptions of trajectory data. These rules have numerous applications including safety validation using formal methods, constraining…

Machine Learning · Computer Science 2025-04-29 Emi Soroka , Rohan Sinha , Sanjay Lall

Systems are commonly monitored for health and security through collection and streaming of multivariate time series. Advances in time series forecasting due to adoption of multilayer recurrent neural network architectures make it possible…

Machine Learning · Statistics 2022-03-10 Oshri Barazani , David Tolpin

Temporal networks have gained significant prominence in the past decade for modelling dynamic interactions within complex systems. A key challenge in this domain is Temporal Link Prediction (TLP), which aims to forecast future connections…

Artificial Intelligence · Computer Science 2025-03-03 Jiafeng Xiong , Ahmad Zareie , Rizos Sakellariou

We establish a connection between trend filtering and system identification which results in a family of new identification methods for linear, time-varying (LTV) dynamical models based on convex optimization. We demonstrate how the design…

Systems and Control · Computer Science 2018-02-28 Fredrik Bagge Carlson , Anders Robertsson , Rolf Johansson

In this paper we study different approaches for time series modeling. The forecasting approaches using linear models, ARIMA alpgorithm, XGBoost machine learning algorithm are described. Results of different model combinations are shown. For…

Applications · Statistics 2017-03-07 B. M. Pavlyshenko

Time series analysis is pivotal in domains like financial forecasting and biomedical monitoring, yet traditional methods are constrained by limited nonlinear feature representation and long-term dependency capture. The emergence of Large…

Machine Learning · Computer Science 2025-06-16 Feifei Shi , Xueyan Yin , Kang Wang , Wanyu Tu , Qifu Sun , Huansheng Ning

We present a new approach to classification that combines data and knowledge. In this approach, data mining is used to derive association rules (possibly with negations) from data. Those rules are leveraged to increase the predictive…

Artificial Intelligence · Computer Science 2025-10-22 Gilles Audemard , Sylvie Coste-Marquis , Pierre Marquis , Mehdi Sabiri , Nicolas Szczepanski

This paper revisits the classical notion of sampling in the setting of real-time temporal logics for the modeling and analysis of systems. The relationship between the satisfiability of Metric Temporal Logic (MTL) formulas over…

Logic in Computer Science · Computer Science 2015-03-13 Carlo A. Furia , Matteo Rossi

We present a skill analysis with time series image data using data mining methods, focused on table tennis. We do not use body model, but use only hi-speed movies, from which time series data are obtained and analyzed using data mining…

Artificial Intelligence · Computer Science 2014-01-22 Toshiyuki Maeda , Masanori Fujii , Isao Hayashi

Self-awareness is the key capability of autonomous systems, e.g., autonomous driving network, which relies on highly efficient time series forecasting algorithm to enable the system to reason about the future state of the environment, as…

Machine Learning · Computer Science 2023-05-18 Minh-Thanh Bui , Duc-Thinh Ngo , Demin Lu , Zonghua Zhang

The analysis of event time series is in general challenging. Most time series analysis tools are limited for the analysis of this kind of data. Recurrence analysis, a powerful concept from nonlinear time series analysis, provides several…

Chaotic Dynamics · Physics 2024-09-16 Norbert Marwan

This paper presents an intertemporal bimodal network to analyze the evolution of the semantic content of a scientific field within the framework of topic modeling, namely using the Latent Dirichlet Allocation (LDA). The main contribution is…

Computation and Language · Computer Science 2020-02-13 Luigi Di Caro , Marco Guerzoni , Massimiliano Nuccio , Giovanni Siragusa

Time series data is being used everywhere, from sales records to patients' health evolution metrics. The ability to deal with this data has become a necessity, and time series analysis and forecasting are used for the same. Every Machine…

Machine Learning · Computer Science 2022-11-29 Rameshwar Garg , Shriya Barpanda , Girish Rao Salanke N S , Ramya S