Boris Mirkin's Core Concepts in Data Analysis: Summarization, Correlation PDF

By Boris Mirkin

ISBN-10: 0857292870

ISBN-13: 9780857292872

Middle recommendations in facts research: Summarization, Correlation and Visualization offers in-depth descriptions of these facts research techniques that both summarize info (principal part research and clustering, together with hierarchical and community clustering) or correlate diverse facets of information (decision bushes, linear ideas, neuron networks, and Bayes rule).

Boris Mirkin takes an unconventional strategy and introduces the idea that of multivariate info summarization as a counterpart to traditional computer studying prediction schemes, using recommendations from records, information research, info mining, laptop studying, computational intelligence, and knowledge retrieval.

Innovations following from his in-depth research of the versions underlying summarization recommendations are brought, and utilized to demanding concerns equivalent to the variety of clusters, combined scale facts standardization, interpretation of the ideas, in addition to relatives among probably unrelated suggestions: goodness-of-fit capabilities for class bushes and information standardization, spectral clustering and additive clustering, correlation and visualization of contingency info.

The mathematical element is encapsulated within the so-called “formulation” components, while such a lot fabric is added via “presentation” elements that designate the equipment through utilising them to small real-world information units; concise “computation” elements tell of the algorithmic and coding issues.

Four layers of energetic studying and self-study routines are supplied: labored examples, case experiences, tasks and questions.

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See the prefatory note to the Bibliography for a clarification of the conventions used here in citing texts. 14 I. Klein on Husserl’s Phenomenology and the History of Science to the problem of their historical origination. It is striking that in the years following the original publication of these works and their republication in 1954 in Walter Biemel’s Husserliana edition of the Crisis, commentary on them has, with one significant exception, passed over what Husserl articulated as the specifically phenomenological nature of the problem of history.

Part Four begins with a detailed comparative analysis of the structure and origin of non-symbolic numbers in Husserl’s Philosophy of Arithmetic and Klein’s Greek Mathematical Thought and the Origin of Algebra. At the conclusion of this analysis, a major digression is presented, the topic of which is Husserl’s account of the origination of the logic of symbolic mathematics as 10 e Origin of the Logic of Symbolic Mathematics he elaborated it after Philosophy of Arithmetic. The purpose of this digression is to “correct” two prevalent standard views of the development of Husserl’s thought subsequent to Philosophy of Arithmetic: 1) that his doctrine of “categorial intuition” overcomes the latter’s psychologism in its account of the origin of the “collective unity” that composes non-symbolic numbers, and 2) that Husserl’s analyses in Formal and Transcendental Logic present a mature phenomenological theory of judgment that provides the foundation for both the distinction and the unity of the formal logic and formal mathematics that make up the “pure” mathesis universalis.

See the following studies from Klein’s Lectures and Essays: “On a Sixteenth Century Algebraist [Simon Stevin]” (35–42), “The Concept of Number in Greek Mathematics and Philosophy” (43–52), and “Modern Rationalism” (53–64). 16 I. Klein on Husserl’s Phenomenology and the History of Science straightforward matter. One would need only to show how the method and content of Husserl’s path-breaking investigations influenced or otherwise provided the context for Klein’s own research. 5 Thus, Hiram Caton’s felicitous characterization—in another context, and one that will be taken up shortly—of Klein’s relationship to Husserl as “a scholarly curiosity”6 proves apt here as well, since Klein’s work on the history of mathematics represents an uncanny anticipation of Husserl’s own work.

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Core Concepts in Data Analysis: Summarization, Correlation and Visualization (Undergraduate Topics in Computer Science) by Boris Mirkin

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