HITS Algorithm
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HITS Algorithm
Hyperlink-Induced Topic Search (HITS; also known as hubs and authorities) is a link analysis algorithm that rates Web pages, developed by Jon Kleinberg. The idea behind Hubs and Authorities stemmed from a particular insight into the creation of web pages when the Internet was originally forming; that is, certain web pages, known as hubs, served as large directories that were not actually authoritative in the information that they held, but were used as compilations of a broad catalog of information that led users direct to other authoritative pages. In other words, a good hub represents a page that pointed to many other pages, while a good authority represents a page that is linked by many different hubs. The scheme therefore assigns two scores for each page: its authority, which estimates the value of the content of the page, and its hub value, which estimates the value of its links to other pages. History In journals Many methods have been used to rank the importance of scientifi ...
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Link Analysis
In network theory, link analysis is a data-analysis technique used to evaluate relationships (connections) between nodes. Relationships may be identified among various types of nodes (objects), including organizations, people and transactions. Link analysis has been used for investigation of criminal activity (fraud detection, counterterrorism, and intelligence), computer security analysis, search engine optimization, market research, medical research, and art. Knowledge discovery Knowledge discovery is an iterative and interactive process used to identify, analyze and visualize patterns in data. Network analysis, link analysis and social network analysis are all methods of knowledge discovery, each a corresponding subset of the prior method. Most knowledge discovery methods follow these steps (at the highest level): # Data processing # Transformation # Analysis # Visualization Data gathering and processing requires access to data and has several inherent issues, including in ...
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Mutual Recursion
In mathematics and computer science, mutual recursion is a form of recursion where two mathematical or computational objects, such as functions or datatypes, are defined in terms of each other. Mutual recursion is very common in functional programming and in some problem domains, such as recursive descent parsers, where the datatypes are naturally mutually recursive. Examples Datatypes The most important basic example of a datatype that can be defined by mutual recursion is a tree, which can be defined mutually recursively in terms of a forest (a list of trees). Symbolically: f: .html"_;"title="[1">[1_...,_t[k _t:_v_f A_forest_''f''_consists_of_a_list_of_trees,_while_a_tree_''t''_consists_of_a_pair_of_a_value_''v''_and_a_forest_''f''_(its_children)._This_definition_is_elegant_and_easy_to_work_with_abstractly_(such_as_when_proving_theorems_about_properties_of_trees),_as_it_expresses_a_tree_in_simple_terms:_a_list_of_one_type,_and_a_pair_of_two_types._Further,_it_matches_many_alg ...
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Normalized Vector
In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1. A unit vector is often denoted by a lowercase letter with a circumflex, or "hat", as in \hat (pronounced "v-hat"). The term ''direction vector'', commonly denoted as d, is used to describe a unit vector being used to represent spatial direction and relative direction. 2D spatial directions are numerically equivalent to points on the unit circle and spatial directions in 3D are equivalent to a point on the unit sphere. The normalized vector û of a non-zero vector u is the unit vector in the direction of u, i.e., :\mathbf = \frac where , u, is the norm (or length) of u. The term ''normalized vector'' is sometimes used as a synonym for ''unit vector''. Unit vectors are often chosen to form the basis of a vector space, and every vector in the space may be written as a linear combination of unit vectors. Orthogonal coordinates Cartesian coordinates Unit vectors may be us ...
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Teoma
Teoma (from Scottish Gaelic ''teòma'' "expert") was an Internet search engine founded in April 2000 by Professor Apostolos Gerasoulis and his colleagues at Rutgers University in New Jersey. Professor Tao Yang from the University of California, Santa Barbara co-led technology R&D. Their research grew out of the 1998 DiscoWeb project. The original research was published in the paper, "DiscoWeb: Applying Link Analysis to Web Search". History The Teoma search engine was officially launched in April 2001. Ask Jeeves, Inc acquired Teoma on September 18, 2001 for over $1.5 million. On January 9, 2002, Ask Jeeves announced that it had integrated Teoma's search technology into Ask Jeeves. Teoma 2.0 was released on January 21, 2003, which boasted improvements to search result relevancy, additions to search tools and more advanced search functions. On February 26, 2006, the Teoma search engine was rebranded and redirected to search.ask.com. In mid-April 2010, Teoma relaunched with simi ...
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Weblink
In computing, a hyperlink, or simply a link, is a digital reference to data that the user can follow or be guided by clicking or tapping. A hyperlink points to a whole document or to a specific element within a document. Hypertext is text with hyperlinks. The text that is linked from is known as anchor text. A software system that is used for viewing and creating hypertext is a ''hypertext system'', and to create a hyperlink is ''to hyperlink'' (or simply ''to link''). A user following hyperlinks is said to ''navigate'' or ''browse'' the hypertext. The document containing a hyperlink is known as its source document. For example, in an online reference work such as Wikipedia or Google, many words and terms in the text are hyperlinked to definitions of those terms. Hyperlinks are often used to implement reference mechanisms such as tables of contents, footnotes, bibliographies, indexes, letters, and glossaries. In some hypertext, hyperlinks can be bidirectional: they can b ...
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Iterative Algorithm
In computational mathematics, an iterative method is a mathematical procedure that uses an initial value to generate a sequence of improving approximate solutions for a class of problems, in which the ''n''-th approximation is derived from the previous ones. A specific implementation of an iterative method, including the termination criteria, is an algorithm of the iterative method. An iterative method is called convergent if the corresponding sequence converges for given initial approximations. A mathematically rigorous convergence analysis of an iterative method is usually performed; however, heuristic-based iterative methods are also common. In contrast, direct methods attempt to solve the problem by a finite sequence of operations. In the absence of rounding errors, direct methods would deliver an exact solution (for example, solving a linear system of equations A\mathbf=\mathbf by Gaussian elimination). Iterative methods are often the only choice for nonlinear equations. Howe ...
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PageRank
PageRank (PR) is an algorithm used by Google Search to rank web pages in their search engine results. It is named after both the term "web page" and co-founder Larry Page. PageRank is a way of measuring the importance of website pages. According to Google: Currently, PageRank is not the only algorithm used by Google to order search results, but it is the first algorithm that was used by the company, and it is the best known. As of September 24, 2019, PageRank and all associated patents are expired. Description PageRank is a link analysis algorithm and it assigns a numerical weighting to each element of a hyperlinked set of documents, such as the World Wide Web, with the purpose of "measuring" its relative importance within the set. The algorithm may be applied to any collection of entities with reciprocal quotations and references. The numerical weight that it assigns to any given element ''E'' is referred to as the ''PageRank of E'' and denoted by PR(E). A PageRank results f ...
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Sergey Brin
Sergey Mikhailovich Brin (russian: link=no, Сергей Михайлович Брин; born August 21, 1973) is an American business magnate, computer scientist, and internet entrepreneur, who co-founded Google with Larry Page. Brin was the president of Google's parent company, Alphabet Inc., until stepping down from the role on December 3, 2019. He and Page remain at Alphabet as co-founders, controlling shareholders, board members, and employees. As of November 2022, Brin is the 12th-richest person in the world, with an estimated net worth of $78.0 billion. Brin immigrated to the United States with his family from the Soviet Union at the age of six. He earned his bachelor's degree at the University of Maryland, College Park, following in his father's and grandfather's footsteps by studying mathematics, as well as computer science. After graduation, he enrolled in Stanford University to acquire a PhD in computer science. There he met Page, with whom he built a web search e ...
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Larry Page
Lawrence Edward Page (born March 26, 1973) is an American business magnate, computer scientist and internet entrepreneur. He is best known for co-founding Google with Sergey Brin. Page was the chief executive officer of Google from 1997 until August 2001 (stepping down in favor of Eric Schmidt) then from April 2011 until July 2015 when he moved to become CEO of Alphabet Inc. (created to deliver "major advancements" as Google's parent company), a post he held until December 4, 2019. He remains an Alphabet board member, employee, and controlling shareholder. Creating Google helped Page build a significant amount of wealth. As of November 2022, Page has an estimated net worth of $84 billion according to the Bloomberg Billionaires Index, making him the ninth-richest person in the world. He has also invested in flying car startups Kitty Hawk and Opener. Page is the co-creator and namesake of PageRank, a search ranking algorithm for Google. He received the Marconi Prize in 2004 ...
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Algorithm
In mathematics and computer science, an algorithm () is a finite sequence of rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can perform automated deductions (referred to as automated reasoning) and use mathematical and logical tests to divert the code execution through various routes (referred to as automated decision-making). Using human characteristics as descriptors of machines in metaphorical ways was already practiced by Alan Turing with terms such as "memory", "search" and "stimulus". In contrast, a Heuristic (computer science), heuristic is an approach to problem solving that may not be fully specified or may not guarantee correct or optimal results, especially in problem domains where there is no well-defined correct or optimal result. As an effective method, an algorithm ca ...
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Search Engines
A search engine is a software system designed to carry out web searches. They search the World Wide Web in a systematic way for particular information specified in a textual web search query. The search results are generally presented in a line of results, often referred to as search engine results pages (SERPs). When a user enters a query into a search engine, the engine scans its index of web pages to find those that are relevant to the user's query. The results are then ranked by relevancy and displayed to the user. The information may be a mix of links to web pages, images, videos, infographics, articles, research papers, and other types of files. Some search engines also mine data available in databases or open directories. Unlike web directories and social bookmarking sites, which are maintained by human editors, search engines also maintain real-time information by running an algorithm on a web crawler. Any internet-based content that can't be indexed and searched b ...
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