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Information theory

Information theory
Overview[edit] The main concepts of information theory can be grasped by considering the most widespread means of human communication: language. Two important aspects of a concise language are as follows: First, the most common words (e.g., "a", "the", "I") should be shorter than less common words (e.g., "roundabout", "generation", "mediocre"), so that sentences will not be too long. Such a tradeoff in word length is analogous to data compression and is the essential aspect of source coding. Second, if part of a sentence is unheard or misheard due to noise — e.g., a passing car — the listener should still be able to glean the meaning of the underlying message. Such robustness is as essential for an electronic communication system as it is for a language; properly building such robustness into communications is done by channel coding. Note that these concerns have nothing to do with the importance of messages. Historical background[edit] With it came the ideas of This is justified because

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Gambling and information theory Statistical inference might be thought of as gambling theory applied to the world around. The myriad applications for logarithmic information measures tell us precisely how to take the best guess in the face of partial information.[1] In that sense, information theory might be considered a formal expression of the theory of gambling. It is no surprise, therefore, that information theory has applications to games of chance.[2] Kelly Betting[edit] Kelly betting or proportional betting is an application of information theory to investing and gambling.

Doron Swade - Computing History Doron Swade An academic who masterminded an 18-year project to recreate a 19th Century computer, a dedicated nurse and an 84-year old volunteer are among Kingstonians rewarded in the UK 2009 New Year's Honours List. Dr Doron Swade, 64, is a leading academic in computer history and a world renowned expert on the work of English mathematician Charles Babbage and has been awarded an MBE for services to the history of computing. Dr Swade, a former curator at the London Science Museum, said: “I am hugely flattered and very, very grateful. “I've always said honours and acknowledgements are the result of good work and I just try to do good work.”

Entropy (information theory) 2 bits of entropy. A single toss of a fair coin has an entropy of one bit. A series of two fair coin tosses has an entropy of two bits. The number of fair coin tosses is its entropy in bits. This random selection between two outcomes in a sequence over time, whether the outcomes are equally probable or not, is often referred to as a Bernoulli process. The sounds of English and the International Phonetic Alphabet © Tomasz P. Szynalski, Antimoon.com This chart contains all the sounds (phonemes) used in the English language. For each sound, it gives: Latent Dirichlet allocation In natural language processing, latent Dirichlet allocation (LDA) is a generative model that allows sets of observations to be explained by unobserved groups that explain why some parts of the data are similar. For example, if observations are words collected into documents, it posits that each document is a mixture of a small number of topics and that each word's creation is attributable to one of the document's topics. LDA is an example of a topic model and was first presented as a graphical model for topic discovery by David Blei, Andrew Ng, and Michael Jordan in 2003.[1] Topics in LDA[edit] In LDA, each document may be viewed as a mixture of various topics. This is similar to probabilistic latent semantic analysis (pLSA), except that in LDA the topic distribution is assumed to have a Dirichlet prior.

Theory of everything A theory of everything (ToE) or final theory, ultimate theory, or master theory is a hypothetical single, all-encompassing, coherent theoretical framework of physics that fully explains and links together all physical aspects of the universe.[1]:6 Finding a ToE is one of the major unsolved problems in physics. Over the past few centuries, two theoretical frameworks have been developed that, as a whole, most closely resemble a ToE. The two theories upon which all modern physics rests are general relativity (GR) and quantum field theory (QFT).

Binomial options pricing model Use of the model[edit] The Binomial options pricing model approach is widely used as it is able to handle a variety of conditions for which other models cannot easily be applied. This is largely because the BOPM is based on the description of an underlying instrument over a period of time rather than a single point. As a consequence, it is used to value American options that are exercisable at any time in a given interval as well as Bermudan options that are exercisable at specific instances of time. Being relatively simple, the model is readily implementable in computer software (including a spreadsheet). Although computationally slower than the Black–Scholes formula, it is more accurate, particularly for longer-dated options on securities with dividend payments.

How do you prove photography to a blind man? That was the question I was asked: how would you prove to a blind man, that photography exists? I knew what he was getting at. We had been discussing psychics. He was a firm believer in psychic powers, had had psychic experiences, and regularly visited a psychic. Value: The Third Factor Of Investing A stock's valuation is the final factor of the Fama-French three-factor model of investment returns. A stock's valuation is measured on a continuum from "value" to "growth." In broad strokes, value stocks are cheap and growth stocks are expensive. But there are compelling reasons why an investor might be willing to pay more for a growth stock than a value stock. Consider a local utility company whose stock is selling for $10 a share.

Furusiyya It was a concept and noble art that included the arts of war and hunting, equestrianism, tactics and strategy, and certain games like chess. This art was practiced throughout the Muslim world, and saw its greatest achievement in Mamluk Egypt during the 14th century. The term is a derivation of faras "horse", and in modern Standard Arabic means "equestrianism" in general.[1] The term for "horseman" or "knight" is fāris (also an Arabic given name, and the origin of the Spanish rank of Alférez).

Codognet states, "Information theory can be thought of as a sort of simplified or idealized semiotics: a ciphering/deciphering algorithm represents the interpretation process used to decode some signifier (encoded information) into some computable signified (meaningful information) to be fed to a subsequent processing step. This process, like semiosis itself, is, of course unlimted." by arlene Mar 24

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