Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Entropy_(information_theory)> ?p ?o }
- Entropy_(information_theory) abstract "In information theory, systems are modeled by a transmitter, channel, and receiver. The transmitter produces messages that are sent through the channel. The channel modifies the message in some way. The receiver attempts to infer which message was sent. In this context, entropy (more specifically, Shannon entropy) is the expected value (average) of the information contained in each message. 'Messages' can be modeled by any flow of information. In a more technical sense, there are reasons (explained below) to define information as the negative of the logarithm of the probability distribution. The probability distribution of the events, coupled with the information amount of every event, forms a random variable whose expected value is the average amount of information, or entropy, generated by this distribution. Units of entropy are the shannon, nat, or hartley, depending on the base of the logarithm used to define it, though the shannon is commonly referred to as a bit.The logarithm of the probability distribution is useful as a measure of entropy because it is additive for independent sources. For instance, the entropy of a coin toss is 1 shannon, whereas of m tosses it is m shannons. Generally, you need log2(n) bits to represent a variable that can take one of n values if n is a power of 2. If these values are equally probable, the entropy (in shannons) is equal to the number of bits. Equality between number of bits and shannons holds only while all outcomes are equally probable. If one of the events is more probable than others, observation of that event is less informative. Conversely, rarer events provide more information when observed. Since observation of less probable events occurs more rarely, the net effect is that the entropy (thought of as average information) received from non-uniformly distributed data is less than log2(n). Entropy is zero when one outcome is certain. Shannon entropy quantifies all these considerations exactly when a probability distribution of the source is known. The meaning of the events observed (the meaning of messages) does not matter in the definition of entropy. Entropy only takes into account the probability of observing a specific event, so the information it encapsulates is information about the underlying probability distribution, not the meaning of the events themselves.Generally, entropy refers to disorder or uncertainty. Shannon entropy was introduced by Claude E. Shannon in his 1948 paper \"A Mathematical Theory of Communication\". Shannon entropy provides an absolute limit on the best possible average length of lossless encoding or compression of an information source. Rényi entropy generalizes Shannon entropy.".
- Entropy_(information_theory) thumbnail Entropy_flip_2_coins.jpg?width=300.
- Entropy_(information_theory) wikiPageExternalLink 1404.1998.
- Entropy_(information_theory) wikiPageExternalLink books?id=_77lvx7y8joC.
- Entropy_(information_theory) wikiPageExternalLink InfoTheoryBookMain.html.
- Entropy_(information_theory) wikiPageExternalLink ENTROPY.
- Entropy_(information_theory) wikiPageExternalLink ENTRINFO.html.
- Entropy_(information_theory) wikiPageExternalLink Entropy.
- Entropy_(information_theory) wikiPageExternalLink infogain.html.
- Entropy_(information_theory) wikiPageExternalLink entropy.
- Entropy_(information_theory) wikiPageExternalLink 6.html.
- Entropy_(information_theory) wikiPageExternalLink 3427.
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- Entropy_(information_theory) wikiPageRevisionID "707037614".
- Entropy_(information_theory) wikiPageWikiLink A_Mathematical_Theory_of_Communication.
- Entropy_(information_theory) wikiPageWikiLink Absolute_continuity.
- Entropy_(information_theory) wikiPageWikiLink Arithmetic_coding.
- Entropy_(information_theory) wikiPageWikiLink Base_(exponentiation).
- Entropy_(information_theory) wikiPageWikiLink Bernoulli_process.
- Entropy_(information_theory) wikiPageWikiLink Bit.
- Entropy_(information_theory) wikiPageWikiLink Boltzmann_constant.
- Entropy_(information_theory) wikiPageWikiLink Boltzmanns_entropy_formula.
- Entropy_(information_theory) wikiPageWikiLink Broadcasting.
- Entropy_(information_theory) wikiPageWikiLink Category:Entropy_and_information.
- Entropy_(information_theory) wikiPageWikiLink Category:Information_theory.
- Entropy_(information_theory) wikiPageWikiLink Category:Randomness.
- Entropy_(information_theory) wikiPageWikiLink Category:Statistical_theory.
- Entropy_(information_theory) wikiPageWikiLink Characterization_(mathematics).
- Entropy_(information_theory) wikiPageWikiLink Checksum.
- Entropy_(information_theory) wikiPageWikiLink Claude_Shannon.
- Entropy_(information_theory) wikiPageWikiLink Combinatorics.
- Entropy_(information_theory) wikiPageWikiLink Computer_program.
- Entropy_(information_theory) wikiPageWikiLink Conditional_entropy.
- Entropy_(information_theory) wikiPageWikiLink Continuous_function.
- Entropy_(information_theory) wikiPageWikiLink Counting_measure.
- Entropy_(information_theory) wikiPageWikiLink Cross_entropy.
- Entropy_(information_theory) wikiPageWikiLink Data_compression.
- Entropy_(information_theory) wikiPageWikiLink Density_matrix.
- Entropy_(information_theory) wikiPageWikiLink Differential_entropy.
- Entropy_(information_theory) wikiPageWikiLink Diversity_index.
- Entropy_(information_theory) wikiPageWikiLink Dynamical_system.
- Entropy_(information_theory) wikiPageWikiLink E_(mathematical_constant).
- Entropy_(information_theory) wikiPageWikiLink Edwin_Thompson_Jaynes.
- Entropy_(information_theory) wikiPageWikiLink Entropy.
- Entropy_(information_theory) wikiPageWikiLink Entropy_(arrow_of_time).
- Entropy_(information_theory) wikiPageWikiLink Entropy_(information_theory).
- Entropy_(information_theory) wikiPageWikiLink Entropy_(statistical_thermodynamics).
- Entropy_(information_theory) wikiPageWikiLink Entropy_encoding.
- Entropy_(information_theory) wikiPageWikiLink Entropy_estimation.
- Entropy_(information_theory) wikiPageWikiLink Entropy_power_inequality.
- Entropy_(information_theory) wikiPageWikiLink Entropy_rate.
- Entropy_(information_theory) wikiPageWikiLink Eta.
- Entropy_(information_theory) wikiPageWikiLink Expected_value.
- Entropy_(information_theory) wikiPageWikiLink FLAC.
- Entropy_(information_theory) wikiPageWikiLink Fisher_information.
- Entropy_(information_theory) wikiPageWikiLink H-theorem.
- Entropy_(information_theory) wikiPageWikiLink Hamming_distance.
- Entropy_(information_theory) wikiPageWikiLink Hartley_(unit).
- Entropy_(information_theory) wikiPageWikiLink Histogram.
- Entropy_(information_theory) wikiPageWikiLink History_of_entropy.
- Entropy_(information_theory) wikiPageWikiLink History_of_information_theory.
- Entropy_(information_theory) wikiPageWikiLink Huffman_coding.
- Entropy_(information_theory) wikiPageWikiLink Independence_(probability_theory).
- Entropy_(information_theory) wikiPageWikiLink Information_dimension.
- Entropy_(information_theory) wikiPageWikiLink Information_geometry.
- Entropy_(information_theory) wikiPageWikiLink Information_theory.
- Entropy_(information_theory) wikiPageWikiLink International_Standard_Book_Number.
- Entropy_(information_theory) wikiPageWikiLink Jensens_inequality.
- Entropy_(information_theory) wikiPageWikiLink John_von_Neumann.
- Entropy_(information_theory) wikiPageWikiLink Joint_entropy.
- Entropy_(information_theory) wikiPageWikiLink Josiah_Willard_Gibbs.
- Entropy_(information_theory) wikiPageWikiLink Kolmogorov_complexity.
- Entropy_(information_theory) wikiPageWikiLink Kullback–Leibler_divergence.
- Entropy_(information_theory) wikiPageWikiLink Landauers_principle.
- Entropy_(information_theory) wikiPageWikiLink Lebesgue_measure.
- Entropy_(information_theory) wikiPageWikiLink Lempel–Ziv–Welch.
- Entropy_(information_theory) wikiPageWikiLink Level_of_measurement.
- Entropy_(information_theory) wikiPageWikiLink Levenshtein_distance.
- Entropy_(information_theory) wikiPageWikiLink Limit_of_a_function.
- Entropy_(information_theory) wikiPageWikiLink Limiting_density_of_discrete_points.
- Entropy_(information_theory) wikiPageWikiLink Logarithm.
- Entropy_(information_theory) wikiPageWikiLink Loomis–Whitney_inequality.
- Entropy_(information_theory) wikiPageWikiLink Lossless_compression.
- Entropy_(information_theory) wikiPageWikiLink Ludwig_Boltzmann.
- Entropy_(information_theory) wikiPageWikiLink Markov_chain.
- Entropy_(information_theory) wikiPageWikiLink Markov_information_source.
- Entropy_(information_theory) wikiPageWikiLink Markov_model.
- Entropy_(information_theory) wikiPageWikiLink Maximum_entropy_thermodynamics.
- Entropy_(information_theory) wikiPageWikiLink Maxwells_demon.
- Entropy_(information_theory) wikiPageWikiLink Measure-preserving_dynamical_system.
- Entropy_(information_theory) wikiPageWikiLink Mutual_information.
- Entropy_(information_theory) wikiPageWikiLink Nat_(unit).
- Entropy_(information_theory) wikiPageWikiLink Natural_number.
- Entropy_(information_theory) wikiPageWikiLink Necessity_and_sufficiency.
- Entropy_(information_theory) wikiPageWikiLink Negentropy.
- Entropy_(information_theory) wikiPageWikiLink Perplexity.
- Entropy_(information_theory) wikiPageWikiLink Pigeonhole_principle.
- Entropy_(information_theory) wikiPageWikiLink Prediction_by_partial_matching.