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Oliver Friedmann
Oliver Friedmann is a German computer scientist and mathematician known for his work on parity games and the simplex algorithm. Friedmann earned his doctorate's degree from the Ludwig Maximilian University of Munich in 2011 under the supervision of Martin Hofmann and Martin Lange. Awards He won the Kleene Award for showing that state-of-the-art policy iteration algorithms for parity games require exponential time in the worst case. He and his coauthors extended the proof techniques to the simplex algorithm and to policy iteration for Markov decision processes. His seminal body of work on lower bounds in convex optimization, leading to a sub-exponential lower bound for Zadeh's rule, was awarded with the Tucker Prize The Tucker Prize for outstanding theses in the area of optimization is sponsored by the Mathematical Optimization Society The Mathematical Optimization Society (MOS), known as the Mathematical Programming Society until 2010, [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Parity Game
A parity game is played on a colored directed graph, where each node has been colored by a priority – one of (usually) finitely many natural numbers. Two players, 0 and 1, move a (single, shared) token along the edges of the graph. The owner of the node that the token falls on selects the successor node, resulting in a (possibly infinite) path, called the play. The winner of a finite play is the player whose opponent is unable to move. The winner of an infinite play is determined by the priorities appearing in the play. Typically, player 0 wins an infinite play if the largest priority that occurs infinitely often in the play is even. Player 1 wins otherwise. This explains the word "parity" in the title. Parity games lie in the third level of the Borel hierarchy, and are consequently determined. Games related to parity games were implicitly used in Rabin's proof of decidability of the monadic second-order theory of ''n'' successors ( S2S for ''n'' = 2), where determinacy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ludwig Maximilian University Of Munich
The Ludwig Maximilian University of Munich (simply University of Munich or LMU; german: Ludwig-Maximilians-Universität München) is a public research university in Munich, Germany. It is Germany's sixth-oldest university in continuous operation. Originally established in Ingolstadt in 1472 by Duke Ludwig IX of Bavaria-Landshut, the university was moved in 1800 to Landshut by King Maximilian I of Bavaria when the city was threatened by the French, before being relocated to its present-day location in Munich in 1826 by King Ludwig I of Bavaria. In 1802, the university was officially named Ludwig-Maximilians-Universität by King Maximilian I of Bavaria in honor of himself and Ludwig IX. LMU is currently the second-largest university in Germany in terms of student population; in the 2018/19 winter semester, the university had a total of 51,606 matriculated students. Of these, 9,424 were freshmen while international students totalled 8,875 or approximately 17% of the student pop ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diploma
A diploma is a document awarded by an educational institution (such as a college or university) testifying the recipient has graduated by successfully completing their courses of studies. Historically, it has also referred to a charter or official document of diplomacy. The diploma (as a document certifying a qualification) may also be called a testamur, Latin for "we testify" or "certify" (testari), so called from the word with which the certificate begins; this is commonly used in Australia to refer to the document certifying the award of a degree. Alternatively, this document can simply be referred to as a degree certificate or graduation certificate, or as a parchment. The certificate that a Nobel laureate receives is also called a diploma. The term diploma is also used in some historical contexts, to refer to documents signed by a King affirming a grant or tenure of specified land and its conditions (see Anglo-Saxon Charters and Diplomatics). Usage Australia In Austr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doctorate
A doctorate (from Latin ''docere'', "to teach"), doctor's degree (from Latin ''doctor'', "teacher"), or doctoral degree is an academic degree awarded by universities and some other educational institutions, derived from the ancient formalism ''licentia docendi'' ("licence to teach"). In most countries, a research degree qualifies the holder to teach at university level in the degree's field or work in a specific profession. There are a number of doctoral degrees; the most common is the Doctor of Philosophy (PhD), awarded in many different fields, ranging from the humanities to scientific disciplines. In the United States and some other countries, there are also some types of technical or professional degrees that include "doctor" in their name and are classified as a doctorate in some of those countries. Professional doctorates historically came about to meet the needs of practitioners in a variety of disciplines. Many universities also award honorary doctorates to individuals d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Parity Game
A parity game is played on a colored directed graph, where each node has been colored by a priority – one of (usually) finitely many natural numbers. Two players, 0 and 1, move a (single, shared) token along the edges of the graph. The owner of the node that the token falls on selects the successor node, resulting in a (possibly infinite) path, called the play. The winner of a finite play is the player whose opponent is unable to move. The winner of an infinite play is determined by the priorities appearing in the play. Typically, player 0 wins an infinite play if the largest priority that occurs infinitely often in the play is even. Player 1 wins otherwise. This explains the word "parity" in the title. Parity games lie in the third level of the Borel hierarchy, and are consequently determined. Games related to parity games were implicitly used in Rabin's proof of decidability of the monadic second-order theory of ''n'' successors ( S2S for ''n'' = 2), where determinacy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Simplex Algorithm
In mathematical optimization, Dantzig's simplex algorithm (or simplex method) is a popular algorithm for linear programming. The name of the algorithm is derived from the concept of a simplex and was suggested by T. S. Motzkin. Simplices are not actually used in the method, but one interpretation of it is that it operates on simplicial ''cones'', and these become proper simplices with an additional constraint. The simplicial cones in question are the corners (i.e., the neighborhoods of the vertices) of a geometric object called a polytope. The shape of this polytope is defined by the constraints applied to the objective function. History George Dantzig worked on planning methods for the US Army Air Force during World War II using a desk calculator. During 1946 his colleague challenged him to mechanize the planning process to distract him from taking another job. Dantzig formulated the problem as linear inequalities inspired by the work of Wassily Leontief, however, at that t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zadeh's Rule
In mathematical optimization, Zadeh's rule (also known as the least-entered rule) is an algorithmic refinement of the simplex method for linear programming, linear optimization. The rule was proposed around 1980 by Norman Zadeh (son of Lotfi A. Zadeh), and has entered the folklore of convex optimization since then. Zadeh offered a reward of $1,000 to anyone who can show that the rule admits polynomially many iterations or to prove that there is a family of linear programs on which the pivoting rule requires subexponentially many iterations to find the optimum. Algorithm Zadeh's rule belongs to the family of history-based improvement rules which, during a run of the simplex algorithm, retain supplementary data in addition to the current basis of the linear program. In particular, the rule chooses among all improving variables one which has entered the basis least often, intuitively ensuring that variables that might yield a substantive improvement in the long run but only a small i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tucker Prize
The Tucker Prize for outstanding theses in the area of optimization is sponsored by the Mathematical Optimization Society The Mathematical Optimization Society (MOS), known as the Mathematical Programming Society until 2010, Winners and finalists * 1988: ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chief Technology Officers
Chief may refer to: Title or rank Military and law enforcement * Chief master sergeant, the ninth, and highest, enlisted rank in the U.S. Air Force and U.S. Space Force * Chief of police, the head of a police department * Chief of the boat, the senior enlisted sailor on a U.S. Navy submarine * Chief petty officer, a non-commissioned officer or equivalent in many navies * Chief warrant officer, a military rank Other titles * Chief of the Name, head of a family or clan * Chief mate, or Chief officer, the highest senior officer in the deck department on a merchant vessel * Chief of staff, the leader of a complex organization * Fire chief, top rank in a fire department * Scottish clan chief, the head of a Scottish clan * Tribal chief, a leader of a tribal form of government * Chief, IRS-CI, the head and chief executive of U.S. Internal Revenue Service, Criminal Investigation Places * Chief Mountain, Montana, United States * Stawamus Chief or the Chief, a granite dome in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
