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In general, comprehension of any type of complex system depends on the resolution used to examine the phenomena occurring within it. However, identifying a priori, for example, the best time frequencies/scales to study a certain system…

Data Analysis, Statistics and Probability · Physics 2025-12-01 Domiziano Doria , Simone Martino , Matteo Becchi , Giovanni M. Pavan

A discrete-time random process is described which can generate bursty sequences of events. A Bernoulli process, where the probability of an event occurring at time $t$ is given by a fixed probability $x$, is modified to include a memory…

Physics and Society · Physics 2015-07-29 Ewan R. Colman , Danica Vukadinović Greetham

Discussions on outstanding---positively and/or negatively---athletes are common practice. The rapidly grown amount of collected sports data now allow to support such discussions with state of the art statistical methodology. Given a…

Applications · Statistics 2011-10-11 Manuel J. A. Eugster

Predicting extreme events in nonlinear dynamical systems is challenging due to a limited understanding of their statistical properties. This study numerically and theoretically investigates the statistical properties of infinite-modal maps…

Chaotic Dynamics · Physics 2026-04-07 Masaki Nakagawa

The scope of this manuscript is to review some recent developments in statistics for discretely observed semimartingales which are motivated by applications for financial markets. Our journey through this area stops to take closer looks at…

Statistical Finance · Quantitative Finance 2025-04-23 Markus Bibinger

A time series consists of a series of values or events obtained over repeated measurements in time. Analysis of time series represents and important tool in many application areas, such as stock market analysis, process and quality control,…

Artificial Intelligence · Computer Science 2013-12-30 Vladimir Kurbalija , Miloš Radovanović , Zoltan Geler , Mirjana Ivanović

While supporting the execution of business processes, information systems record event logs. Conformance checking relies on these logs to analyze whether the recorded behavior of a process conforms to the behavior of a normative…

Artificial Intelligence · Computer Science 2020-07-07 Han van der Aa , Henrik Leopold , Matthias Weidlich

Process analytics approaches allow organizations to support the practice of Business Process Management and continuous improvement by leveraging all process-related data to extract knowledge, improve process performance and support…

Other Computer Science · Computer Science 2025-02-25 Asjad Khan , Aditya Ghose , Hoa Dam , Arsal Syed

Computer systems can be found everywhere: in space, in our homes, in our cars, in our pockets, and sometimes even in our own bodies. For concerns of safety, economy, and convenience, it is important that such systems work correctly.…

Logic in Computer Science · Computer Science 2019-05-22 Mathias Ruggaard Pedersen

The study of the dynamic behavior of cross-sectional ranks over time for functional data and the ranks of the observed curves at each time point and their temporal evolution can yield valuable insights into the time dynamics of functional…

Methodology · Statistics 2020-05-11 Yaqing Chen , Matthew Dawson , Hans-Georg Müller

As has long been known to computer scientists, the performance of probabilistic algorithms characterized by relatively large runtime fluctuations can be improved by applying a restart, i.e., episodic interruption of a randomized…

Statistical Mechanics · Physics 2023-06-21 Dmitry Starkov , Sergey Belan

Human movements in the real world and in cyberspace affect not only dynamical processes such as epidemic spreading and information diffusion but also social and economical activities such as urban planning and personalized recommendation in…

Physics and Society · Physics 2016-06-22 Yi-Ming Zhao , An Zeng , Xiao-Yong Yan , Wen-Xu Wang , Ying-Cheng Lai

As the diversity of people in higher education grows, Universities are struggling to provide inclusive environments that nurture the spirit of free inquiry in the presence of these differences. At the extreme, the value of diversity is…

Physics and Society · Physics 2019-12-16 Kathryn V Johnston

Complexity is an important characteristic of any business process. The key assumption of much research in Business Process Management is that process complexity has a negative impact on process performance. So far, behavioral studies have…

Other Computer Science · Computer Science 2023-07-13 Maxim Vidgof , Bastian Wurm , Jan Mendling

A fundamental problem in technological studies is how to measure the evolution of technology. The literature has suggested several approaches to measuring the level of technology (or state-of-the-art) and changes in technology. However, the…

Economics · Quantitative Finance 2018-03-26 Mario Coccia

Understanding human dynamics is of major scientific and practical importance and can be increasingly addressed in a quantitative fashion thanks to electronic records capturing various human activity patterns. The authors of Ref. [1] revisit…

Data Analysis, Statistics and Probability · Physics 2007-05-23 A. -L. Barabasi , K. -I. Goh , A. Vazquez

While games have been used extensively as milestones to evaluate game-playing AI, there exists no standardised framework for reporting the obtained observations. As a result, it remains difficult to draw general conclusions about the…

Artificial Intelligence · Computer Science 2020-07-07 Vanessa Volz , Boris Naujoks

Thousands of documents are made available to the users via the web on a daily basis. One of the most extensively studied problems in the context of such document streams is burst identification. Given a term t, a burst is generally…

Databases · Computer Science 2012-05-31 Theodoros Lappas , Marcos R. Vieira , Dimitrios Gunopulos , Vassilis J. Tsotras

Process mining extracts value from the traces recorded in the event logs of IT-systems, with process discovery the task of inferring a process model for a log emitted by some unknown system. Generalization is one of the quality criteria…

Artificial Intelligence · Computer Science 2022-03-29 Artem Polyvyanyy , Alistair Moffat , Luciano García-Bañuelos

The world surrounding us is subject to constant change. These changes, frequently described as concept drift, influence many industrial and technical processes. As they can lead to malfunctions and other anomalous behavior, which may be…

Machine Learning · Computer Science 2023-10-25 Fabian Hinder , Valerie Vaquet , Barbara Hammer