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Alpha Algorithm
The α-algorithm or α-miner is an algorithm used in process mining Process mining is a family of techniques for analyzing event data to understand and improve operational processes. Part of the fields of data science and Business_process_management, process management, process mining is generally built on Logging ..., aimed at reconstructing causality from a set of sequences of events. It was first put forward by Wil van der Aalst, van der Aalst, Weijters and Măruşter. The goal of Alpha miner is to convert the event log into a workflow-net based on the relations between various activities in the event log. An event log is a multi-set of traces, and a trace is a sequence of activity names. Several extensions or modifications of it have since been presented, which will be listed below. Alpha miner was the first Business process discovery, process discovery algorithm ever proposed, and it gives a good overview of the aim of process discovery and how various activities within the p ...
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Process Mining
Process mining is a family of techniques for analyzing event data to understand and improve operational processes. Part of the fields of data science and Business_process_management, process management, process mining is generally built on Logging (computing), logs that contain case id, a unique identifier for a particular process instance; an activity, a description of the event that is occurring; a timestamp; and sometimes other information such as resources, costs, and so on. There are three main classes of process mining techniques: ''process discovery'', ''conformance checking'', and ''process enhancement''. In the past, terms like ''workflow mining'' and ''automated business process discovery'' (ABPD) were used. Overview Process mining techniques are often used when no formal description of the process can be obtained by other approaches, or when the quality of existing documentation is questionable. For example, application of process mining methodology to the audit trails o ...
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Sequence Of Events
Time is the continuous progression of existence that occurs in an apparently irreversible succession from the past, through the present, and into the future. It is a component quantity of various measurements used to sequence events, to compare the duration of events (or the intervals between them), and to quantify rates of change of quantities in material reality or in the conscious experience. Time is often referred to as a fourth dimension, along with three spatial dimensions. Time is one of the seven fundamental physical quantities in both the International System of Units (SI) and International System of Quantities. The SI base unit of time is the second, which is defined by measuring the electronic transition frequency of caesium atoms. General relativity is the primary framework for understanding how spacetime works. Through advances in both theoretical and experimental investigations of spacetime, it has been shown that time can be distorted and dilated, pa ...
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Wil Van Der Aalst
Willibrordus Martinus Pancratius van der Aalst (born 29 January 1966) is a Dutch computer scientist and full professor at RWTH Aachen University, leading the Process and Data Science (PADS) group. His research and teaching interests include information systems, workflow management, Petri nets, process mining, specification languages, and simulation. He is also known for his work on workflow patterns. Biography and Education Born in Eersel, Netherlands, Van der Aalst received an MSc in computing science in 1988 at the Technische Universiteit Eindhoven (TU/e), and a PhD in mathematics in 1992 with the thesis "Timed colored Petri nets and their application to logistics" under supervision of Jaap Wessels and Kees van Hee. In 1992 he started working at the Eindhoven University of Technology as an assistant professor for the department of Mathematics and Computing Science, where he headed the Specification and Modeling of Information Systems (SMIS) research group. From 2000 to 20 ...
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Business Process Discovery
Business process discovery (BPD) related to business process management and process mining is a set of techniques that manually or automatically construct a representation of an organisations' current business processes and their major process variations. These techniques use data recorded in the existing organisational methods of work, documentations, and technology systems that run business processes within an organisation. The type of data required for process discovery is called an event log. Any record of data that contains the case id (a unique identifier that is helpful in grouping activities belonging to the same case), activity name (description of the activity taking place), and timestamp. Such a record qualifies for an event log and can be used to discover the underlying process model. The event log can contain additional information related to the process, such as the resources executing the activity, the type or nature of the events, or any other relevant details. Process ...
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String (computer Science)
In computer programming, a string is traditionally a sequence of character (computing), characters, either as a literal (computer programming), literal constant or as some kind of Variable (computer science), variable. The latter may allow its elements to be Immutable object, mutated and the length changed, or it may be fixed (after creation). A string is often implemented as an array data structure of bytes (or word (computer architecture), words) that stores a sequence of elements, typically characters, using some character encoding. More general, ''string'' may also denote a sequence (or List (abstract data type), list) of data other than just characters. Depending on the programming language and precise data type used, a variable (programming), variable declared to be a string may either cause storage in memory to be statically allocated for a predetermined maximum length or employ dynamic allocation to allow it to hold a variable number of elements. When a string appears lit ...
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Alphabet (computer Science)
In formal language theory, an alphabet, sometimes called a vocabulary, is a non-empty set of indivisible symbols/ characters/glyphs, typically thought of as representing letters, characters, digits, phonemes, or even words. The definition is used in a diverse range of fields including logic, mathematics, computer science, and linguistics. An alphabet may have any cardinality ("size") and, depending on its purpose, may be finite (e.g., the alphabet of letters "a" through "z"), countable (e.g., \), or even uncountable (e.g., \). Strings, also known as "words" or "sentences", over an alphabet are defined as a sequence of the symbols from the alphabet set. For example, the alphabet of lowercase letters "a" through "z" can be used to form English words like "iceberg" while the alphabet of both upper and lower case letters can also be used to form proper names like "Wikipedia". A common alphabet is , the binary alphabet, and a "00101111" is an example of a binary string. Infinite se ...
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Sequence Pattern For Petri Nets
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called ''elements'', or ''terms''). The number of elements (possibly infinite) is called the ''length'' of the sequence. Unlike a set, the same elements can appear multiple times at different positions in a sequence, and unlike a set, the order does matter. Formally, a sequence can be defined as a function from natural numbers (the positions of elements in the sequence) to the elements at each position. The notion of a sequence can be generalized to an indexed family, defined as a function from an ''arbitrary'' index set. For example, (M, A, R, Y) is a sequence of letters with the letter "M" first and "Y" last. This sequence differs from (A, R, M, Y). Also, the sequence (1, 1, 2, 3, 5, 8), which contains the number 1 at two different positions, is a valid sequence. Sequences can be ''finite'', as in these examples, or '' infi ...
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Petri Net
A Petri net, also known as a place/transition net (PT net), is one of several mathematical modeling languages for the description of distributed systems. It is a class of discrete event dynamic system. A Petri net is a directed bipartite graph that has two types of elements: places and transitions. Place elements are depicted as white circles and transition elements are depicted as rectangles. A place can contain any number of tokens, depicted as black circles. A transition is enabled if all places connected to it as inputs contain at least one token. Some sources state that Petri nets were invented in August 1939 by Carl Adam Petri — at the age of 13 — for the purpose of describing chemical processes. Like industry standards such as UML activity diagrams, Business Process Model and Notation, and event-driven process chains, Petri nets offer a graphical notation for stepwise processes that include choice, iteration, and concurrent execution. Unlike these standards, Pet ...
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Petri Net For Alpha Miner Example
Petri is an Italian and Germanic surname derived from the Latin name Petrus, and may refer to: Surname * Adam Petri (1454–1527), Swiss Renaissance printer who founded a Basel publishing house * Alexandra Petri (born 1988), humor columnist for ''The Washington Post'', daughter of Tom * August Petri (1878–?), German fencer * Bernhard Eduardovich Petri (1884–1937), Russian anthropologist and archaeologist * Carl Adam Petri (1926–2010), German mathematician who introduced Petri nets * Carl Axel Petri (1929–2017), Swedish politician and judge * Catharose de Petri (1952–1990), Dutch mystic * Cunerus Petri (1531–1580), Dutch bishop * Daniele Petri (born 1980), Italian darts player * Edward P. Petri (1884–1949), American politician and businessman * Egon Petri (1881–1962), Dutch pianist and composer * Elio Petri (1929–1982), Italian director, screenwriter and film critic * Ellen Petri (born 1982), Belgian beauty queen * Franziska Petri (born 1973), German ac ...
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Sound SWF Net
In physics, sound is a vibration that propagates as an acoustic wave through a transmission medium such as a gas, liquid or solid. In human physiology and psychology, sound is the ''reception'' of such waves and their ''perception'' by the brain. Only acoustic waves that have frequencies lying between about 20 Hz and 20 kHz, the audio frequency range, elicit an auditory percept in humans. In air at atmospheric pressure, these represent sound waves with wavelengths of to . Sound waves above 20 kHz are known as ultrasound and are not audible to humans. Sound waves below 20 Hz are known as infrasound. Different animal species have varying hearing ranges, allowing some to even hear ultrasounds. Definition Sound is defined as "(a) Oscillation in pressure, stress, particle displacement, particle velocity, etc., propagated in a medium with internal forces (e.g., elastic or viscous), or the superposition of such propagated oscillation. (b) Auditory sensation evok ...
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