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Specific-information
In information theory, specific-information is the generic name given to the family of state-dependent measures that in expectation converge to the mutual information. There are currently three known varieties of specific information usually denoted I_V, I_S, and I_. The specific-information between a random variable A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which depends on random events. It is a mapping or a function from possible outcomes (e.g., the po ... X and a state Y=y is written as :I( X ; Y = y). References * *{{cite journal , pages=177–87 , doi=10.1088/0954-898X/14/2/301 , title=How much information is associated with a particular stimulus? , year=2003 , last1=Butts , first1=Daniel , journal=Network: Computation in Neural Systems , volume=14 , issue=2 , pmid=12790180 Information theory ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mutual Information
In probability theory and information theory, the mutual information (MI) of two random variables is a measure of the mutual dependence between the two variables. More specifically, it quantifies the " amount of information" (in units such as shannons (bits), nats or hartleys) obtained about one random variable by observing the other random variable. The concept of mutual information is intimately linked to that of entropy of a random variable, a fundamental notion in information theory that quantifies the expected "amount of information" held in a random variable. Not limited to real-valued random variables and linear dependence like the correlation coefficient, MI is more general and determines how different the joint distribution of the pair (X,Y) is from the product of the marginal distributions of X and Y. MI is the expected value of the pointwise mutual information (PMI). The quantity was defined and analyzed by Claude Shannon in his landmark paper "A Mathemati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Information Theory
Information theory is the scientific study of the quantification (science), quantification, computer data storage, storage, and telecommunication, communication of information. The field was originally established by the works of Harry Nyquist and Ralph Hartley, in the 1920s, and Claude Shannon in the 1940s. The field is at the intersection of probability theory, statistics, computer science, statistical mechanics, information engineering (field), information engineering, and electrical engineering. A key measure in information theory is information entropy, entropy. Entropy quantifies the amount of uncertainty involved in the value of a random variable or the outcome of a random process. For example, identifying the outcome of a fair coin flip (with two equally likely outcomes) provides less information (lower entropy) than specifying the outcome from a roll of a dice, die (with six equally likely outcomes). Some other important measures in information theory are mutual informat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Placeholder Name
Placeholder names are words that can refer to things or people whose names do not exist, are tip of the tongue, temporarily forgotten, are not relevant to the salient point at hand, are to avoid stigmatization, are unknowable/unpredictable in the context in which they are being discussed, or are otherwise de-emphasized whenever the speaker or writer is unable to, or chooses not to, specify precisely. Placeholder names for people are often list of terms referring to an average person, terms referring to an average person or a predicted persona (user experience), persona of a typical user. Linguistic role These Free variables and bound variables, placeholders typically function grammar, grammatically as nouns and can be used for people (e.g. ''John Doe, John Doe, Jane Doe''), objects (e.g. ''Widget (economics), widget''), locations ("Main Street"), or places (e.g. ''Anytown, USA''). They share a property with pronouns, because their reference, referents must be supplied by co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Random Variable
A random variable (also called random quantity, aleatory variable, or stochastic variable) is a mathematical formalization of a quantity or object which depends on random events. It is a mapping or a function from possible outcomes (e.g., the possible upper sides of a flipped coin such as heads H and tails T) in a sample space (e.g., the set \) to a measurable space, often the real numbers (e.g., \ in which 1 corresponding to H and -1 corresponding to T). Informally, randomness typically represents some fundamental element of chance, such as in the roll of a dice; it may also represent uncertainty, such as measurement error. However, the interpretation of probability is philosophically complicated, and even in specific cases is not always straightforward. The purely mathematical analysis of random variables is independent of such interpretational difficulties, and can be based upon a rigorous axiomatic setup. In the formal mathematical language of measure theory, a random var ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
