Solving nonlinear estimation problems using splines

Solving nonlinear estimation problems using splines

ID:39772702

大?。?3.24 KB

頁數(shù):5頁

時間:2019-07-11

Solving nonlinear estimation problems using splines_第1頁
Solving nonlinear estimation problems using splines_第2頁
Solving nonlinear estimation problems using splines_第3頁
Solving nonlinear estimation problems using splines_第4頁
Solving nonlinear estimation problems using splines_第5頁
資源描述:

《Solving nonlinear estimation problems using splines》由會員上傳分享,免費在線閱讀,更多相關(guān)內(nèi)容在學(xué)術(shù)論文-天天文庫。

1、[lectureNOTES]DongYuandLiDengSolvingNonlinearEstimationProblemsUsingSplinesedescribetheusealgorithmsbyfindingadirectrelation-withtheconstraintthatthefunctionisofsplinesforsolv-shipbetweentheinterpolatedvaluesandcontinuousinthefirst-andsecond-orderingnonlinearthoseatthesplinek

2、nots(i.e.,thegivenderivativesatallknotsmodelestimationortobeestimatedinput/outputpoints)Wproblems,inwhichforanarbitrarynonlinearfunction.Thisy1xi25yinonlinearfunctionswithunknowndirectrelationshipcanbeformulatedasfori51,2,c,N(2)shapesandvaluesareinvolved,bycon-aninnerproducto

3、flocation-dependentyi115y1xi1125fi1xi112vertingthenonlinearestimationweightsandthevaluesattheknots.The5fi111xi112problemsintolinearonesatahigher-approachpresentedheremayfindprac-fori51,2,c,N21(3)rr1x25fr1x2dimensionalspace.Thiscontrastswithticalapplicationswithinpatternyi115y

4、i11ii11r1x2thetypicaluseofthesplines[1]–[3]forrecognition,classification,systemcom-5fi11i11functioninterpolationwherethefunc-bination,speechrecognition,andsignalfori51,2,c,N21(4)s1x25ys1x25fs1x2tionalvaluesatsomeinputpointsareprocessing.Someexistingapplicationsyi11i11i11ii11s

5、1x2givenandthevaluescorrespondingtoarebrieflydiscussed.5fi11i11otherinputpointsaresoughtforviafori51,2,c,N21(5)interpolation.ThetechniquedescribedPREREQUISITESinthiscolumnappliestoarbitrarynon-Theprerequisitesconsistofbasiccalcu-Itcanbeeasilyverifiedthattheabovelinearestimati

6、onproblemswhereoneorlusandbasiclinearalgebra.Optimizationformulationcanberewrittenas[1],[2]moreone-dimensionalnonlinearfunc-techniquescouldalsobeusefulbutnotsstionsareinvolvedandcanbeextendednecessary.y1x25ayj1byj111cyj1dyj11,(6)tocaseswherehigher-dimensionalnon-linearfunctio

7、nsareused.BACKGROUNDwhere3xj,xj114isthesegmenttowhichThebenefitofusingtheapproachSplinesarepiecewiseormultiple-seg-theinputvaluexbelongsdescribedhereisobvious.Manyreal-mentfunctionswithpiecesorsegmentsxj112xworldsystemscanonlybeappropriatelyconnectedsmoothlywitheachother,a5,(

8、7)xj112xjmodeledwithnonlinearfunctions,whilewheretheconnectingpoints

當(dāng)前文檔最多預(yù)覽五頁,下載文檔查看全文

此文檔下載收益歸作者所有

當(dāng)前文檔最多預(yù)覽五頁,下載文檔查看全文
溫馨提示:
1. 部分包含數(shù)學(xué)公式或PPT動畫的文件,查看預(yù)覽時可能會顯示錯亂或異常,文件下載后無此問題,請放心下載。
2. 本文檔由用戶上傳,版權(quán)歸屬用戶,天天文庫負責(zé)整理代發(fā)布。如果您對本文檔版權(quán)有爭議請及時聯(lián)系客服。
3. 下載前請仔細閱讀文檔內(nèi)容,確認(rèn)文檔內(nèi)容符合您的需求后進行下載,若出現(xiàn)內(nèi)容與標(biāo)題不符可向本站投訴處理。
4. 下載文檔時可能由于網(wǎng)絡(luò)波動等原因無法下載或下載錯誤,付費完成后未能成功下載的用戶請聯(lián)系客服處理。