See epsilon-machine in All languages combined, or Wiktionary
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{ "etymology_templates": [ { "args": { "1": "en", "2": "epsilon", "3": "machine" }, "expansion": "epsilon + machine", "name": "af" } ], "etymology_text": "From epsilon + machine. Coined by James Crutchfield and Karl Young in their 1989 paper “Inferring Statistical Complexity”.", "forms": [ { "form": "epsilon-machines", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "epsilon-machine (plural epsilon-machines)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English compound terms", "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "English terms with quotations", "Pages with 1 entry", "Pages with entries", "Quotation templates to be cleaned" ], "examples": [ { "ref": "1989, James Crutchfield, Karl Young, Inferring Statistical Complexity:", "text": "With a direct measure of an ε'''-machine’s complexity, the theory gives a computation-theoretic foundation to the notions of model optimality and, most importantly, a measure of the computational complexity of estimated models.", "type": "quote" }, { "ref": "2001, Cosma Rohilla Shalizi, Causal Architecture, Complexity and Self-Organization in Time Series and Cellular Automata:", "text": "The ϵ'''-machine is the organization of the process, or at least of the part of it which is relevant to our measurements. It leads to a natural measure of the statistical complexity of processes, namely the amount of information needed to specify the state of the ϵ'''-machine. […] Using the ϵ'''-machine, we see that the causal states always form a Markov process. This is satisfying ideologically, and has interesting information-theoretic and ergodic consequences.", "type": "quote" }, { "ref": "2010, Sean Harrison Whalen, Security applications of the epsilon-machine, abstract:", "text": "These predictors, called ε-machines, are a subset of a well known statistical model class called the Hidden Markov Model (HMM). Despite being a subset, ε-machines have several important advantages over traditional HMMs. This dissertation illustrates these advantages by applying ε-machines to several problems in computer security: anomaly-based intrusion detection in High Performance Computing (HPC) environments, automated protocol reverse engineering, and structural drift.", "type": "quote" }, { "ref": "2011, Nicolas Brodu, “Reconstruction of epsilon-machines in predictive frameworks and decisional states”, in Advances in Complex Systems, volume 14, number 05:", "text": "This article introduces both a new algorithm for reconstructing epsilon-machines from data, as well as the decisional states. These are defined as the internal states of a system that lead to the same decision, based on a user-provided utility or pay-off function. […] The intrinsic underlying structure of the system is modeled by an epsilon-machine and its causal states.", "type": "quote" } ], "glosses": [ "A deterministic automaton consisting of a system of causal states and the transitions between them, functioning as the smallest possible maximally predictive model of a stochastic process" ], "links": [ [ "deterministic", "deterministic" ], [ "automaton", "automaton" ], [ "consist", "consist" ], [ "system", "system" ], [ "causal state", "causal state" ], [ "transition", "transition" ], [ "maximally", "maximally" ], [ "predictive", "predictive" ], [ "model", "model" ], [ "stochastic", "stochastic" ], [ "process", "process" ] ], "raw_glosses": [ "(computational mechanics) A deterministic automaton consisting of a system of causal states and the transitions between them, functioning as the smallest possible maximally predictive model of a stochastic process" ], "topics": [ "computational", "computing", "engineering", "mathematics", "mechanical-engineering", "mechanics", "natural-sciences", "physical-sciences", "sciences" ] } ], "synonyms": [ { "word": "ϵ-machine" }, { "word": "ε-machine" } ], "word": "epsilon-machine" }
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