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Normalized Compression Distance
Normalized compression distance (NCD) is a way of measuring the similarity between two objects, be it two documents, two letters, two emails, two music scores, two languages, two programs, two pictures, two systems, two genomes, to name a few. Such a measurement should not be application dependent or arbitrary. A reasonable definition for the similarity between two objects is how difficult it is to transform them into each other. It can be used in information retrieval and data mining for cluster analysis. Information distance We assume that the objects one talks about are finite strings of 0s and 1s. Thus we mean string similarity. Every computer file is of this form, that is, if an object is a file in a computer it is of this form. One can define the information distance between strings x and y as the length of the shortest program p that computes x from y and vice versa. This shortest program is in a fixed programming language. For technical reasons one uses the theoretica ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equality (mathematics)
In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object. The equality between and is written , and pronounced equals . The symbol "" is called an "equals sign". Two objects that are not equal are said to be distinct. For example: * x=y means that and denote the same object. * The identity (x+1)^2=x^2+2x+1 means that if is any number, then the two expressions have the same value. This may also be interpreted as saying that the two sides of the equals sign represent the same function. * \ = \ if and only if P(x) \Leftrightarrow Q(x). This assertion, which uses set-builder notation, means that if the elements satisfying the property P(x) are the same as the elements satisfying Q(x), then the two uses of the set-builder notation define the same set. This property is often expressed as "two sets that have th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rudi Cilibrasi
Rudi, born Albert Rudolph (January 24, 1928 – February 21, 1973), also known as Swami Rudrananda, was born in Brooklyn, New York. Rudi was a spiritual teacher and an antiquities entrepreneur in New York City.Swami Rudrananda udi ''Spiritual Cannibalism''. Links Books, New York, 1973, First Edition. Life and career Early years Albert Rudolph was born January 24, 1928, to impoverished Jewish parents in Brooklyn, New York. His father abandoned the family when he was young. According to his autobiography, Rudolph's first spiritual experience occurred at age 6 in a park. Two Tibetan Buddhist lamas appeared out of the air and stood before him. They told him they represented the heads of the "Red Hat" and "Yellow Hat" sects, and they were going to place within him the energy and wisdom of Tibetan Buddhism. Several clay jars appeared, which they said they would put inside his solar plexus. The lamas said these jars would stay in him and begin to open at age 31. He would then ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Word2vec
Word2vec is a technique for natural language processing (NLP) published in 2013. The word2vec algorithm uses a neural network model to learn word associations from a large corpus of text. Once trained, such a model can detect synonymous words or suggest additional words for a partial sentence. As the name implies, word2vec represents each distinct word with a particular list of numbers called a vector. The vectors are chosen carefully such that they capture the semantic and syntactic qualities of words; as such, a simple mathematical function (cosine similarity) can indicate the level of semantic similarity between the words represented by those vectors. Approach Word2vec is a group of related models that are used to produce word embeddings. These models are shallow, two-layer neural networks that are trained to reconstruct linguistic contexts of words. Word2vec takes as its input a large corpus of text and produces a vector space, typically of several hundred dimensions, with e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1301
Year 1301 ( MCCCI) was a common year starting on Sunday (link will display the full calendar) of the Julian calendar. Events By place Europe * January 14 – With the death of King Andrew III (the Venetian) (probably poisoned), the Árpád Dynasty in Hungary ends. This results in a power struggle between Wenceslaus III of Bohemia, Otto III of Bavaria, and Charles Robert of Naples. Eventually, Wenceslaus is elected and crowned as king of Hungary and Croatia. His rule is only nominal, because a dozen powerful Hungarian nobles hold sway over large territories in the kingdom. * November 1 – Charles of Valois, son of the late King Philip III (the Bold), is summoned to Italy by Pope Boniface VIII to restore peace between the Guelphs and Ghibellines. He enters Florence, and allows the Black (Neri) Guelphs to return to the city. Charles installs a new government under Cante dei Gabrielli as Chief Magistrate (''podestà''), leading to the permanent exile of Dan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normalized Google Distance
The normalized Google distance (NGD) is a semantic similarity measure derived from the number of hits returned by the Google search engine for a given set of keywords. Keywords with the same or similar meanings in a natural language sense tend to be "close" in units of normalized Google distance, while words with dissimilar meanings tend to be farther apart. Specifically, the NGD between two search terms ''x'' and ''y'' is : \operatorname(x,y) = \frac where ''N'' is the total number of web pages searched by Google multiplied by the average number of singleton search terms occurring on pages; ''f''(''x'') and ''f''(''y'') are the number of hits for search terms ''x'' and ''y'', respectively; and ''f''(''x'', ''y'') is the number of web pages on which both ''x'' and ''y'' occur. If the NGD(x,y)=0 then x and y are viewed as alike as possible, but if NGD(x,y)\geq 1 then x and y are very different. If the two search terms ''x'' and ''y'' never occur together on the same web pag ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Semantic Similarity
Semantic similarity is a metric defined over a set of documents or terms, where the idea of distance between items is based on the likeness of their meaning or semantic content as opposed to lexicographical similarity. These are mathematical tools used to estimate the strength of the semantic relationship between units of language, concepts or instances, through a numerical description obtained according to the comparison of information supporting their meaning or describing their nature. The term semantic similarity is often confused with semantic relatedness. Semantic relatedness includes any relation between two terms, while semantic similarity only includes "is a" relations. For example, "car" is similar to "bus", but is also related to "road" and "driving". Computationally, semantic similarity can be estimated by defining a topological similarity, by using ontologies to define the distance between terms/concepts. For example, a naive metric for the comparison of concepts order ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
War And Peace
''War and Peace'' (russian: Война и мир, translit=Voyna i mir; pre-reform Russian: ; ) is a literary work by the Russian author Leo Tolstoy that mixes fictional narrative with chapters on history and philosophy. It was first published serially, then published in its entirety in 1869. It is regarded as Tolstoy's finest literary achievement and remains an internationally praised classic of world literature. The novel chronicles the French invasion of Russia and the impact of the Napoleonic era on Tsarist society through the stories of five Russian aristocratic families. Portions of an earlier version, titled ''The Year 1805'', were serialized in ''The Russian Messenger'' from 1865 to 1867 before the novel was published in its entirety in 1869.Knowles, A. V. ''Leo Tolstoy'', Routledge 1997. Tolstoy said that the best Russian literature does not conform to standards and hence hesitated to classify ''War and Peace'', saying it is "not a novel, even less is it a poem, and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mouse Genome Database
Mouse Genome Informatics (MGI) is a free, online database and bioinformatics resource hosted by The Jackson Laboratory, with funding by the National Human Genome Research Institute (NHGRI), the National Cancer Institute (NCI), and the Eunice Kennedy Shriver National Institute of Child Health and Human Development (NICHD). MGI provides access to data on the genetics, genomics and biology of the laboratory mouse to facilitate the study of human health and disease. The database integrates multiple projects, with the two largest contributions coming from the Mouse Genome Database and Mouse Gene Expression Database (GXD). , MGI contains data curated from over 230,000 publications. The MGI resource was first published online in 1994 and is a collection of data, tools, and analyses created and tailored for use in the laboratory mouse, a widely used model organism. It is "the authoritative source of official names for mouse genes, alleles, and strains", which follow the guidelines establ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
CC-BY Icon
A Creative Commons (CC) license is one of several public copyright licenses that enable the free distribution of an otherwise copyrighted "work".A "work" is any creative material made by a person. A painting, a graphic, a book, a song/lyrics to a song, or a photograph of almost anything are all examples of "works". A CC license is used when an author wants to give other people the right to share, use, and build upon a work that the author has created. CC provides an author flexibility (for example, they might choose to allow only non-commercial uses of a given work) and protects the people who use or redistribute an author's work from concerns of copyright infringement as long as they abide by the conditions that are specified in the license by which the author distributes the work. There are several types of Creative Commons licenses. Each license differs by several combinations that condition the terms of distribution. They were initially released on December 16, 2002, by ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Robust Statistics
Robust statistics are statistics with good performance for data drawn from a wide range of probability distributions, especially for distributions that are not normal. Robust statistical methods have been developed for many common problems, such as estimating location, scale, and regression parameters. One motivation is to produce statistical methods that are not unduly affected by outliers. Another motivation is to provide methods with good performance when there are small departures from a parametric distribution. For example, robust methods work well for mixtures of two normal distributions with different standard deviations; under this model, non-robust methods like a t-test work poorly. Introduction Robust statistics seek to provide methods that emulate popular statistical methods, but which are not unduly affected by outliers or other small departures from Statistical assumption, model assumptions. In statistics, classical estimation methods rely heavily on assumpti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anomaly Detection
In data analysis, anomaly detection (also referred to as outlier detection and sometimes as novelty detection) is generally understood to be the identification of rare items, events or observations which deviate significantly from the majority of the data and do not conform to a well defined notion of normal behaviour. Such examples may arouse suspicions of being generated by a different mechanism, or appear inconsistent with the remainder of that set of data. Anomaly detection finds application in many domains including cyber security, medicine, machine vision, statistics, neuroscience, law enforcement and financial fraud to name only a few. Anomalies were initially searched for clear rejection or omission from the data to aid statistical analysis, for example to compute the mean or standard deviation. They were also removed to better predictions from models such as linear regression, and more recently their removal aids the performance of machine learning algorithms. However, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
