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# Topic: Minimax

###### In the News (Mon 24 Jun 19)

 Minimax and Alpha-Beta Template The minimax algorithm is a method of selecting the best choice of action in a situation, or game, where two opposing forces, or players, are working toward mutually exclusive goals, acting on the same set of perfect information about the outcome of the situation. The minimax algorithm is a recursive algorithm that takes as arguments the current layout of the game board and a parity number which reflects whether you want a minimax or maximin. Since the amount of work a minimax search generates increases exponentially as a move is examined to a greater depth, to reduce the time required for the search it must be restricted so that no time is wasted searching moves that are obviously bad for the player. www.cs.caltech.edu /~petrovic/games/archex/othellodir/node2.html   (952 words)

 SoundStage! Equipment Review - Eastern Electric MiniMax Preamplifier (12/2003) The first thing I noticed about the MiniMax, as I removed the top layer of Styrofoam from the packing box, was the glossy, gray metalflake automotive-quality paint with which the chassis and transformer top were finished. The front panel of the MiniMax is a thick slab of aluminum, with the edges nicely finished and the ends thinner than the middle. The circuit that’s employed in the MiniMax is a basic voltage amplifier, which is directly coupled to a cathode follower. www.soundstage.com /revequip/easternelectric_minimax.htm   (2453 words)

 Cprogramming.com: Your Resource for C++ Programming The Minimax Game Tree is used for programming computers to play games in which there are two players taking turns to play moves. In the most basic sense, the minimax tree is just a tree of all possible moves. The minimax game tree, of course, cannot be used very well for games in which the computer cannot see the possible moves. www.cprogramming.com /tutorial/AI/minimaxtree1.html   (633 words)

 minimax Conceptually all nodes are generated first, but minimax is normally implemented as a depth-first search. Complete minimax search is impractical for most games. Rajiv Bakulesh Shah, "minimax", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology. www.nist.gov /dads/HTML/minimax.html   (153 words)

 Scaffolding.ru - MiniMax is a versatile tower system. MiniMAX: ïîäìîñòè + âûøêè-òóðû. ...   (Site not responding. Last check: ) MiniMax is a versatile tower system that can be used for a wide variety of applications. Designed with ease of assembly in mind, MiniMax can be easily erected by one person in a quick, two-stage assembly process. Manufactured from high-grade aluminium and certified to HD 1004 Class 3, MiniMax components snap easily into place to form the base unit which has a working height of 2.9 metres (up to 3.7 metres with guardrails). www.scaffolding.ru /eminimax.html   (259 words)

 Intro to CogSci Minimax Exercise Minimax is an algorithm for playing two-player games (it generalizes to multi-player games as well). In minimax, a heuristic is a number that represents the relative strategic value of a game state from the perspective of the computer. Minimax suffers from exponential explosion of number of nodes or states - that is, the number of states to consider goes up exponentially with the number of ply. www.cs.vassar.edu /faculty/welty/oldcourses/cogsci100.98f/minimax.html   (946 words)

 AI Horizon: Minimax Game Tree Programming, Part 1 The minimax game tree, of course, cannot be used very well for games in which the computer cannot see the possible moves. So, minimax game trees is best used for games in which both players can see the entire game situation. The reason this data structure is named the minimax game tree is because of the simple algorithm behind the structure. www.aihorizon.com /essays/basiccs/trees/minimax.htm   (706 words)

 Minimax and Alpha-Beta Pruning Notice that the maximin and minimax values are symmetric; if I define the payoff relative to me instead of you then I should choose the maximin value and you should choose the minimax value. Minimax is a useful decision concept and it is straightforward to find the minimax solution and minimax values when the game is in extensive form; simply do an exhaustive search through all possibilities. We have expanded all of the descendants of red node 24 and have found the minimax value returned from this node to be 2. students.cs.byu.edu /~cs670ta/Lectures/Minimax.html   (1818 words)

 Minimax algorithm The minimax algorithm is a recursive algorithm for choosing the next move in a two-player game. The number of nodes to be explored for the analysis of a game is therefore the power of plies of the branching factor. The performance of the naive minimax algorithm may be improved dramatically, without affecting the result, by the use of alpha-beta pruning. www.ebroadcast.com.au /lookup/encyclopedia/mi/Minimax.html   (372 words)

 Minimax - Wikipedia, the free encyclopedia Minimax (sometimes minmax) is a method in decision theory for minimizing the maximum possible loss. The performance of the naïve minimax algorithm may be improved dramatically, without affecting the result, by the use of alpha-beta pruning. For example in the prisoner's dilemma, the minimax strategy for each prisoner is to betray the other even though they would each do better if neither confessed their guilt. en.wikipedia.org /wiki/Minimax   (1213 words)

 Review: Creamware Minimax Minimax is available for the various systems of the SCOPE Fusion Platform as well as for the new hardware synthesizer Noah. Minimax has polyphony (lets you play more than one note at once) and features a couple of effects, a delay as well as a flanger/chorus section. Due to the elaborate algorithms used in the Minimax, its polyphony is limited to 2 voices on a 3-DSP board, to 6 voices on a 6-DSP board and to 15 voices on a 15-DSP board. www.futureproducers.com /article.php/id/6   (2332 words)

 Algorithms For two player games, the minimax algorithm is such a tactic, which uses the fact that the two players are working towards opposite goals to make predictions about which future states will be reached as the game progresses, and then proceeds accordingly to optimize its chance of victory. The theory behind minimax is that the algorithm's opponent will be trying to minimize whatever value the algorithm is trying to maximize (hence, "minimax"). However, minimax is still useful when employed with heuristics which approximate possible outcomes from a certain point. www.stanford.edu /~msirota/soco/minimax.html   (874 words)

 Scotland Yard AI: Minimax   (Site not responding. Last check: ) The point of the minimax algorithm is to pick a players best move, assuming that it will be followed by an opponent move. The minimax algorithm calculates all of the possible moves that can be made by a player based on some game specific rules, then given all possible moves it calculates all possible moves of the opponent as a result of each of the first players moves. It is the job of minimax algorithm to pass all legal states to the heuristic function. www.ccs.neu.edu /home/dskippy/code/scotland-yard/minimax.html   (408 words)

 Minimax Condorcet - Wikipedia, the free encyclopedia Minimax is often considered to be the simplest of the Condorcet methods. Minimax selects the candidate for whom the greatest pairwise score for another candidate against him is the least such score among all candidates. Minimax using winning votes or margins satisfies Condorcet and the majority criterion, but not the Smith criterion, mutual majority criterion, or Condorcet loser criterion. en.wikipedia.org /wiki/Minimax_Condorcet   (340 words)

 MiniMax Trading System MiniMax trading system equity curve on Nikkei 225 index futures with one contract per trade and deducting \$30 per contract for slippage and commissions. MiniMax trading system equity curve on e-mini Russell 2000 index futures with one contract per trade and deducting \$30 per contract for slippage and commissions. MiniMax is a short-term (sometimes referred to as "swing trading") system that runs on daily (end-of-day) data. www.breakoutfutures.com /MiniMax   (1406 words)

 MiniMax Command Summary   (Site not responding. Last check: ) MiniMax is a command line-based serial interface management system for SSL devices. MiniMax is normally not visible to users, but is entered by device in serious error states, such as when the device fails any FIPS self-test. In these circumstances, MiniMax allows users to exit from the error condition as gracefully as possible, returning the device to a usable status. www.cisco.com /univercd/cc/td/doc/product/webscale/css/css_sca/sca_420/sca_ap_d.htm   (1561 words)

 Topic #11: Game trees. Alpha-beta search In a MiniMax tree, one can view in its entire form, the score values at each of the levels of the tree at any given point during the game. A minimax search is used to determine all possible continuations of the game up to a desired level. A score is originally assigned to the leaf, then by evaluating each possible set of moves, a score is assigned to the upper level by the minimax algorithm. www.cs.mcgill.ca /~cs251/OldCourses/1997/topic11   (1471 words)

 Minimax with Alpha-Beta Cutoff The MINIMAX GAME STRATEGY for the MAX (MIN) player is to select the move that leads to the successor node with the highest (lowest) score. The scores are computed starting from the leaves of the tree and backing up their scores to their predecessor in accordance with the Minimax strategy. Minimax and alpha-beta must be modified when we deal with games that involve chance. www.cis.temple.edu /~ingargio/cis587/readings/alpha-beta.html   (861 words)

 Minimax - the only full service provider of fire protection: Homepage Safety through technology: Minimax has been one of the leading companies in fire protection for more than 100 years now. Minimax has signed an agreement to acquire 100% of the shares of Consolidated Fire Protection (CFP) from Gryphon Investors. As a full service provider we must be in the position to act quickly and flexible and provide a reliable local service. www.minimax.de   (168 words)

 THE MINIMAX STRATEGY “To put it in plain language, the minimax theorem says that there is always a rational solution to a precisely defined conflict between two people whose interests are completely opposite. Therefore, every move in a game must be based on an assessment of what a competitor’s possible moves are. Because the values of the minimax and the maximin strategies must be the same (which is what mathematical calculations prove), he had cut the pie in half. www.charleswarner.us /MinimaxStrategy.htm   (900 words)

 Eastern Electric Audio MiniMax Tube Phono Amp - [English] Concerning musical flow and natural timbre the Minimax phono was about equal to the Monbrison phono stage, but when resolution of sibilants was required, the Monbrison scored with more fine detail and resolution, as well as in differentiating the single tracks on Boys for Pele. Tonally the Minimax phono was leaner, though that did not wonder me either, because Shindo preamps always had and have a RIAA which is voiced to the warm side of life. Another advantage of the Minimax phono is, that it takes only five minutes to warm up and play tunes, whereas lot of British transistor gear take days or even weeks to play tunes, even after a short power off. www.tnt-audio.com /ampli/minimax_phono_e.html   (1252 words)

 Eastern Electric Audio MiniMax Tube Power Amp - [English] I had the Minimax playing for some weeks without interruption (the power consumption and heat dissipation seems quite low for a tube amp) and several times could not tell whether my own reference power amp or the Minimax was playing. The Minimax got loud enough for me with either pop music or classical, but I assume, that it won't be enough to party your entire house with 82dB loudspeakers. The MiniMax is one of those rare tube power amps which are nearest to a piece of wire with gain. www.tnt-audio.com /ampli/minimax_pwr_e.html   (1556 words)

 MiniMax Terms & Conditions MiniMax Corporation is free to use all submissions, ideas and feedback contained in your communications in any manner that is consistent with our Privacy Statement, including, but not limited to, incorporating your suggestions into our product and service offerings without any financial or other obligation to you. MiniMax Corporation will not be liable for any loss that you may incur as a result of someone else using your password or account, either with or without your knowledge. MiniMax Corporation makes no representation that the products, services and other materials available through this Web site are appropriate or available for use in other countries, and access to them from countries where their contents or use is illegal is prohibited. www.minimax.net /termsandconditions.php   (1235 words)

 minimax It's almost a shame that the MiniMax sounded so good directly after unpacking it—the improvements after break-in might cause serious damage, as in a smile that can't be erased. The MiniMax was not as beefy as the Anthem, but the faults were not glaring, and my quibble about male voices is a whisper in a thunderstorm. With the LP mastered by Stan Ricker, the anger of the lyrics on this record is not to be missed, and with the MiniMax, I didn’t miss it. www.positive-feedback.com /Issue20/minimax.htm   (1854 words)

 Morningstar Audio Imports, Inc. The MiniMax Amplifier is our combined effort to bring the most musical tubed audio components being made today. The MiniMax Amplifier extols the recorded performance as it was meant to be heard. Inside the MiniMax you’ll find an entirely hand-wired circuit using no printed circuit boards (the most expensive way to build an amp, but also the best sounding). www.morningstaraudio.com /shop/item.asp?itemid=2   (448 words)

 CiteULike: Minimax nonredundant channel coding In this paper, we consider the index assignment problem and adopt a minimax design criterion instead of the usual mean squared error (MSE) measure. Benefits of minimax criterion are unclear in this context, but performance is good from both minimax and average distortion perspectives. bounds broadcast bsa capacity cosq covq exponent generalized_lloyd graph_theory hall hierarchical index_assignment integer mimo minimax mismatch multiresolution perturbation qap random_coding rate-distortion robust simulated_annealing source_channel_coding source_coding theory tradeoff vq wireless www.citeulike.org /user/pelzlpj/article/261730   (453 words)

 Hybrid Kalman / Minimax Filtering Although the Kalman filter may be stable and the minimax filter may be stable, a combination of the two filters may be unstable. The behavior of the filter was investigated by examining its ability to track the one GPS satellite carrier phase for the first 60 seconds of the flight. The hybrid Kalman / minimax filter takes advantage not only of the noise statistics knowledge that is inherent in the Kalman filter design, but also takes advantage of the robustness of minimax filtering. www.innovatia.com /software/papers/hybrid.htm   (1257 words)

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