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Predicting missing segments in partially observed functions is challenging due to infinite-dimensionality, complex dependence within and across observations, and irregular noise. These challenges are further exacerbated by the existence of…

Methodology · Statistics 2025-11-20 Fangyi Wang , Sebastian Kurtek , Yuan Zhang

Despite huge successes reported by the field of machine learning, such as voice assistants or self-driving cars, businesses still observe very high failure rate when it comes to deployment of ML in production. We argue that part of the…

Software Engineering · Computer Science 2021-10-27 Andrei Paleyes , Christian Cabrera , Neil D. Lawrence

Most statistical process monitoring methods for multichannel profiles focus solely on the mean and are almost ineffective when changes involve the covariance structure. Although it is known to be crucial, covariance monitoring requires…

Methodology · Statistics 2026-03-06 Christian Capezza , Davide Forcina , Antonio Lepore , Biagio Palumbo

Online sensing plays an important role in advancing modern manufacturing. The real-time sensor signals, which can be stored as high-resolution time series data, contain rich information about the operation status. One of its popular usages…

Machine Learning · Computer Science 2025-10-14 Frida Cantu , Salomon Ibarra , Arturo Gonzales , Jesus Barreda , Chenang Liu , Li Zhang

Inference on unknown quantities in dynamical systems via observational data is essential for providing meaningful insight, furnishing accurate predictions, enabling robust control, and establishing appropriate designs for future…

Methodology · Statistics 2018-02-06 M. Chung , M. Binois , R. B. Gramacy , D. J. Moquin , A. P. Smith , A. M. Smith

The use of principal component methods to analyze functional data is appropriate in a wide range of different settings. In studies of ``functional data analysis,'' it has often been assumed that a sample of random functions is observed…

Statistics Theory · Mathematics 2016-08-16 Peter Hall , Hans-Georg Müller , Jane-Ling Wang

In functional data analysis, replicate observations of a smooth functional process and its derivatives offer a unique opportunity to flexibly estimate continuous-time ordinary differential equation models. Ramsay (1996) first proposed to…

Methodology · Statistics 2024-06-27 Edward Gunning , Giles Hooker

Very large time series are increasingly available from an ever wider range of IoT-enabled sensors, from which significant insights can be obtained through mining temporal patterns from them. A useful type of patterns found in many…

Databases · Computer Science 2023-01-10 Van Long Ho , Nguyen Ho , Torben Bach Pedersen

Business processes evolve over time to adapt to changing business environments. This requires continuous monitoring of business processes to gain insights into whether they conform to the intended design or deviate from it. The situation…

Machine Learning · Computer Science 2020-09-14 Ghada Elkhawaga , Mervat Abuelkheir , Sherif I. Barakat , Alaa M. Riad , Manfred Reichert

In many domains, the previous decade was characterized by increasing data volumes and growing complexity of computational workloads, creating new demands for highly data-parallel computing in distributed systems. Effective operation of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-25 Carl Witt , Marc Bux , Wladislaw Gusew , Ulf Leser

Predictive business process monitoring (PBPM) techniques predict future process behaviour based on historical event log data to improve operational business processes. Concerning the next activity prediction, recent PBPM techniques use…

Artificial Intelligence · Computer Science 2020-09-14 Sven Weinzierl , Sebastian Dunzer , Sandra Zilker , Martin Matzner

Industrial applications often exhibit multiple in-control patterns due to varying operating conditions, which makes a single functional linear model (FLM) inadequate to capture the complexity of the true relationship between a functional…

Methodology · Statistics 2024-10-29 Christian Capezza , Fabio Centofanti , Davide Forcina , Antonio Lepore , Biagio Palumbo

In the domain of rotating machinery, bearings are vulnerable to different mechanical faults, including ball, inner, and outer race faults. Various techniques can be used in condition-based monitoring, from classical signal analysis to deep…

Machine Learning · Statistics 2024-07-26 Victoria Jorry , Zina-Sabrina Duma , Tuomas Sihvonen , Satu-Pia Reinikainen , Lassi Roininen

Reliability of complex Cyber-Physical Systems is necessary to guarantee availability and/or safety of the provided services. Diverse and complex fault tolerance policies are adopted to enhance reliability, that include a varied mix of…

Software Engineering · Computer Science 2022-08-26 Alessandro Fantechi , Gloria Gori , Marco Papini

Soft real-time applications require timely delivery of messages conforming to the soft real-time constraints. Satisfying such requirements is a complex task both due to the volatile nature of distributed environments, as well as due to…

Networking and Internet Architecture · Computer Science 2009-01-20 Danny Bickson , Gidon Gershinsky , Ezra N. Hoch , Konstantin Shagin

Spectrum sensing and analysis is crucial for a variety of reasons, including regulatory compliance, interference detection and mitigation, and spectrum resource planning and optimization. Effective, real-time spectrum analysis remains a…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Rahil Gandotra , Ruoyu Sun , Mark Poletti , Jiayu Mao , Hao Guo

In many Phase II statistical process control (SPC) problems, the main concern is not whether a monitored process has ever changed, but whether it is currently operating at an acceptable level. This distinction is especially important when…

Computation · Statistics 2026-05-06 Gordon J. Ross

Our machines, products, utilities, and environments have long been monitored by embedded software systems. Our professional, commercial, social and personal lives are also subject to monitoring as they are mediated by software systems. Data…

Computers and Society · Computer Science 2017-01-27 Kenneth Johnson , John V. Tucker , Victoria Wang

Human brain functional connectivity (FC) is often measured as the similarity of functional MRI responses across brain regions when a brain is either resting or performing a task. This paper aims to statistically analyze the dynamic nature…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Mengyu Dai , Zhengwu Zhang , Anuj Srivastava

Functional data analysis (FDA) deals with high-resolution data recorded over a continuum, such as time, space or frequency. Device-based assessments of physical activity or sleep are objective yet still prone to measurement error. We…