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Hill Climbing Search Example Pdf Download

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A..surface..with..only..one..maximum...^..Skiena,..Steven..(2010)...HTTP....Status....404....-.........In,,,computer,,,science,,,,hill,,,climbing,,,is,,,a,,,mathematical,,,optimization,,,technique,,,which,,,belongs,,,to,,,the,,,family,,,of,,,local,,,search.,,,The,,best,,x,,m,,{displaystyle,,x{m}},,is,,kept:,,if,,a,,new,,run,,of,,hill,,climbing,,produces,,a,,better,,x,,m,,{displaystyle,,x{m}},,than,,the,,stored,,state,,,it,,replaces,,the,,stored,,state.,,Wikibooks,has,more,on,the,topic,of:,Hill,climbing,.,A,surface,with,only,one,maximum.,It,,,turns,,,out,,,that,,,it,,,is,,,often,,,better,,,to,,,spend,,,CPU,,,time,,,exploring,,,the,,,space,,,,than,,,carefully,,,optimizing,,,from,,,an,,,initial,,,condition.[original,,,research?].,,,description,,The,,requested,,resource,,is,,not,,available.,,ISBN1-849-96720-2.,This,depiction,shows,an,extreme,case,involving,only,one,dimension.,Unfortunately,,the,applicability,of,simulated,annealing,is,problem-specific,because,it,relies,on,finding,lucky,jumps,that,improve,the,position.,...Despite..the..many..local..maxima..in..this..graph,..the..global..maximum..can..still..be..found..using..simulated..annealing...Ridges....are....a....challenging....problem....for....hill....climbers....that....optimize....in....continuous....spaces.....Hence,,gradient,descent,or,the,conjugate,gradient,method,is,generally,preferred,over,hill,climbing,when,the,target,function,is,differentiable.,If,the,sides,of,the,ridge,(or,alley),are,very,steep,,then,the,hill,climber,may,be,forced,to,take,very,tiny,steps,as,it,zig-zags,toward,a,better,position.,Choice,,,of,,,next,,,node,,,and,,,starting,,,node,,,can,,,be,,,varied,,,to,,,give,,,a,,,list,,,of,,,related,,,algorithms.,,,repeated,,local,,search).,,Despite,,,the,,,many,,,local,,,maxima,,,in,,,this,,,graph,,,,the,,,global,,,maximum,,,can,,,still,,,be,,,found,,,using,,,simulated,,,annealing.,,,A,ridge,.,This,,article,,is,,about,,the,,mathematical,,algorithm.,,Discrete,Space,Hill,Climbing,Algorithm,currentNode,=,startNode;,loop,do,L,=,NEIGHBORS(currentNode);,nextEval,=,-INF;,nextNode,=,NULL;,for,all,x,in,L,if,(EVAL(x),>,nextEval),nextNode,=,x;,nextEval,=,EVAL(x);,if,nextEval,bestScore),bestScore,=,temp;,best,=,j;,if,candidate[best],is,0,stepSize[i],=,stepSize[i],/,acceleration;,else,currentPoint[i],=,currentPoint[i],+,stepSize[i],*,candidate[best];,stepSize[i],=,stepSize[i],*,candidate[best];,//,accelerate,if,(EVAL(currentPoint),-,before),<,epsilon,return,currentPoint;,.,....If...the...sides...of...the...ridge...(or...alley)...are...very...steep,...then...the...hill...climber...may...be...forced...to...take...very...tiny...steps...as...it...zig-zags...toward...a...better...position....

By...contrast,...gradient...descent...methods...can...move...in...any...direction...that...the...ridge...or...alley...may...ascend...or...descend....It..is..an..anytime..algorithm:..it..can..return..a..valid..solution..even..if..it's..interrupted..at..any..time..before..it..ends...In..computer..science,..hill..climbing..is..a..mathematical..optimization..technique..which..belongs..to..the..family..of..local..search...Consequently,....there....remain....many....problems....for....which....hill....climbers....will....efficiently....find....good....results....while....simulated....annealing....will....seemingly....run....forever....without....making....progress.....Coordinate....descent....does....a....line....search....along....one....coordinate....direction....at....the....current....point....in....each....iteration.....It....can....also....be....cured....by....using....more....complex....schemes....based....on....iterations,....like....iterated....local....search,....based....on....memory,....like....reactive....search....optimization....and....tabu....search,....or....based....on....memory-less....stochastic....modifications,....like....simulated....annealing.....Examples....of....algorithms....that....solve....convex....problems....by....hill-climbing....include....the....simplex....algorithm....for....linear....programming....and....binary....search.[1]:253.....Hill..Climbing..Search..Example..Pdf..Download,..pdf..x1a..2001..download..youtube...At..each..iteration,..hill..climbing..will..adjust..a..single..element..in..x..{displaystyle..mathbf..{x}..}..and..determine..whether..the..change..improves..the..value..of..f..(..x..)..{displaystyle..f(mathbf..{x}..)}.....Eventually,....a....much....shorter....route....is....likely....to....be....obtained.....

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