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Twed\u306f\u3001\u3053\u306e\u307e\u305f\u306f\u4ed6\u306e\u30b9\u30da\u30fc\u30b5\u30fc\u3001\u7279\u306bLevenshtein\u8ddd\u96e2\u3067\u3053\u308c\u307e\u305f\u306f\u985e\u4f3c\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u307e\u305f\u306f\u6982\u5ff5\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u4e3b\u306b\u6642\u7cfb\u5217\u306e\u985e\u4f3c\u6027\u6e2c\u5b9a\u3092\u76ee\u7684\u3068\u3057\u3066\u3044\u307e\u305b\u3093\u3002 Levenshtein\u8ddd\u96e2\u3092\u4ecb\u3057\u3066\u3001Twed\u306fDTW\u3068\u985e\u4f3c\u3057\u3066\u3044\u307e\u3059\u3002 Table of Contents","datePublished":"2020-03-18","dateModified":"2020-03-18","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/2551b0b481eed1f5473ae062095e962f1d9c6a1b","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/2551b0b481eed1f5473ae062095e962f1d9c6a1b","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/6197","wordCount":8370,"articleBody":" 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Twed\u306f\u3001\u3053\u306e\u307e\u305f\u306f\u4ed6\u306e\u30b9\u30da\u30fc\u30b5\u30fc\u3001\u7279\u306bLevenshtein\u8ddd\u96e2\u3067\u3053\u308c\u307e\u305f\u306f\u985e\u4f3c\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u307e\u305f\u306f\u6982\u5ff5\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u4e3b\u306b\u6642\u7cfb\u5217\u306e\u985e\u4f3c\u6027\u6e2c\u5b9a\u3092\u76ee\u7684\u3068\u3057\u3066\u3044\u307e\u305b\u3093\u3002 Levenshtein\u8ddd\u96e2\u3092\u4ecb\u3057\u3066\u3001Twed\u306fDTW\u3068\u985e\u4f3c\u3057\u3066\u3044\u307e\u3059\u3002 Table of Contentsgtwed-kernel [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u533b\u7642\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u5b9a\u7fa9\u3001\u64ec\u4f3c\u30b3\u30fc\u30c9\u3001\u3055\u307e\u3056\u307e\u306a\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e\u3067\u306e\u5b9f\u88c5 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u610f\u5473 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] c\u306e\u5b9f\u88c5 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] MATLAB\u3067\u306e\u5b9f\u88c5 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] gtwed-kernel [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Gaussian Twed\u306f\u3001\u305f\u3068\u3048\u540d\u524d\u304c\u305d\u308c\u3092\u793a\u5506\u3057\u3066\u3044\u3066\u3082\u3001Twed\u306e\u300c\u62e1\u5f35\u300d\u306f\u3042\u308a\u307e\u305b\u3093\u304c\u3001Gtwed\u306f\u30d9\u30af\u30bf\u30fc\u30de\u30b7\u30f3\u3092\u30b5\u30dd\u30fc\u30c8\u3059\u308b\u305f\u3081\u306e\u8ddd\u96e2\u3068\u3057\u3066Twed\u306e\u9069\u7528\u3067\u3059\u3002\u3053\u3053\u3067\u306f\u3001\u30ac\u30a6\u30ab\u30cd\u30eb\u3067\u983b\u7e41\u306b\u4f7f\u7528\u3055\u308c\u308b\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u306e\u8ddd\u96e2\u6e2c\u5b9a\u5024\u306f\u3001Twed\u306b\u7f6e\u304d\u63db\u3048\u3089\u308c\u307e\u3059\u3002 [\u521d\u3081] \u533b\u7642\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ]        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4Twed\u3092\u4f7f\u7528\u3057\u3066\u3001\u30d1\u30eb\u30b9\u6e2c\u5b9a\u306b\u3088\u3063\u3066\u8a18\u9332\u3055\u308c\u305f\u6642\u7cfb\u5217\u3092\u6bd4\u8f03\u3059\u308b\u65b9\u6cd5\u304c\u63d0\u793a\u3055\u308c\u308b\u4f5c\u54c1\u304c\u3042\u308a\u307e\u3059\u3002 [2] \u5b9a\u7fa9\u3001\u64ec\u4f3c\u30b3\u30fc\u30c9\u3001\u3055\u307e\u3056\u307e\u306a\u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9e\u3067\u306e\u5b9f\u88c5 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u610f\u5473 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] d l \u3001 n \uff08 a \u521d\u3081 p \u3001 b \u521d\u3081 Q \uff09\uff09 = m \u79c1 n { \u03b4\u03bb,\u03bd(A1p\u22121,B1q)+\u0393(ap\u2032\u2192\u039b)Lo\u00a8schen\u00a0in\u00a0A\u03b4\u03bb,\u03bd(A1p\u22121,B1q\u22121)+\u0393(ap\u2032\u2192bq\u2032)U\u00a8bereinstimmung\u03b4\u03bb,\u03bd(A1p,B1q\u22121)+\u0393(\u039b\u2192bq\u2032)Lo\u00a8schen\u00a0in\u00a0B{displaystyle delta _ {lambda\u3001if}\uff08e_ {1}^p}\u3001b_ {1}^{q}\uff09= MISEGININ {cass} delta}^{p-1}}\u3001b __ {1} tol}\uff09 } ist {p}}^{p}} ag {p. enn in a} \\ delta _ {lammbda\u3001if}\uff08a_ {1}^{p-1}\u3001b_ {1}^}+gama\uff08a_ {p}^to ‘} to b_ {{{{{{}}^{{{{{{{{{{{{{{{{{{u {{{u u\uff09 {lamba\u3001}} … \u3057\u305f\u304c\u3063\u3066        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4c \uff08 a p \u2032\u2192 l \uff09\uff09 = d l p \uff08 a p \u2032\u3001 a p  –  \u521d\u3081 \u2032\uff09\uff09 + n de \uff08 t ap –  t ap\u22121\uff09\uff09 + l {displaystyle gamma\uff08alpha _ {p}^{‘} to lambada\uff09= d_ {lp}\uff08a_p}^{‘}\u3001a_ {p-1}^{‘}\uff09+n+if cdot\uff08t_ {p}}}} -t_ {a_ {p-1}}}}\uff09+ashda c \uff08 a p \u2032\u2192 b Q \u2032\uff09\uff09 = d l p \uff08 a p \u2032\u3001 b Q \u2032\uff09\uff09 + d l p \uff08 a p  –  \u521d\u3081 \u2032\u3001 b Q  –  \u521d\u3081 \u2032\uff09\uff09 + n de \uff08 | t ap –  t bq| + | t ap\u22121 –  t bq\u22121| \uff09\uff09 {displaystyle gamma\uff08alpha _ {p}^{‘} to b_ {q}^{‘}\uff09= d_ {lp}\uff08a_ {p}^{‘}\u3001b_ {q}^{‘}\uff09+d_ {lp}}\uff08a_ {p-1}^{{Q-1}} {Q-1} \uff08| t_ {a_ {p}} -t_ {b_ {q}} |+| t_ {a_ {p-1}}  –  t_ {b_ {q-1}} |\uff09} c \uff08 l \u2192 b Q \u2032\uff09\uff09 = d l p \uff08 b p \u2032\u3001 b p  –  \u521d\u3081 \u2032\uff09\uff09 + n de \uff08 t bq –  t bq\u22121\uff09\uff09 + l {displaystyle gamma\uff08lambda to b_ {q}^{‘}\uff09= d_ {lp}\uff08b_ {p}^{‘}\u3001b_ {p-1}^{‘}\uff09+nu cdot\uff08t_ {{b_ {q}}  –  t_ {b_ {q-1}}+lambda  \u518d\u5e30        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4d l \u3001 n {displaystyle delta _ {lambda\u3001not}} \u6b21\u306e\u3088\u3046\u306b\u521d\u671f\u5316\u3055\u308c\u3066\u3044\u307e\u3059\u3002 d l \u3001 n \uff08 a \u521d\u3081 0 \u3001 b \u521d\u3081 0 \uff09\uff09 = 0 \u3001 {displaystyle delta _ {lambda\u3001nu}\uff08a_ {1}^{0}\u3001b_ {1}^{0}\uff09= 0\u3001} d l \u3001 n \uff08 a \u521d\u3081 0 \u3001 b \u521d\u3081 j \uff09\uff09 = \u221e  fu\u00a8r\u00a0j \u2265 \u521d\u3081 {_ {lambda\u3001nu}\u306edisplaystyle\uff08a _ {1}\u3001b_ {1}\u3001b_ {1 d l \u3001 n \uff08 a \u521d\u3081 \u79c1 \u3001 b \u521d\u3081 0 \uff09\uff09 = \u221e  fu\u00a8r\u00a0\u79c1 \u2265 \u521d\u3081 {delta delta _ {lambda\u3001nu}\uff08a_ {1}^{i}\u3001b_ {1}^{0}\uff09= inf {rm {{f {f {dot}} r} igeq 1}}}} \u3068 a 0 ‘ = b 0 ‘ = 0 {displaystyle a ‘_ {0} = b’ _ {0} = 0} \u5927\u4f1a\u5f8c\u3002 c\u306e\u5b9f\u88c5 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u30d7\u30ed\u30b0\u30e9\u30df\u30f3\u30b0\u8a00\u8a9eC\u306b\u304a\u3051\u308bTwed\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u5b9f\u88c5\u306f\u3001\u8457\u8005\u306e\u30db\u30fc\u30e0\u30da\u30fc\u30b8\u304b\u3089\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u3067\u304d\u307e\u3059\u3002 [3] MATLAB\u3067\u306e\u5b9f\u88c5 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] Twed Algorithmus\uff1a \u95a2\u6570  [\u8ddd\u96e2\u3001dp] = twed \uff08 A\u3001Timesa\u3001B\u3001Timesb\u3001Lambda\u3001Nu \uff09\uff09  \uff05[\u8ddd\u96e2\u3001dp] = twed\uff08a\u3001timesa\u3001b\u3001timesb\u3001lambda\u3001nu\uff09  \uff05\u6642\u7cfb\u5217A\u304a\u3088\u3073B\u306e\u30bf\u30a4\u30e0\u30ef\u30fc\u30d7\u7de8\u96c6\u8ddd\u96e2\uff08TWED\uff09\u3092\u8a08\u7b97\u3059\u308b  \uff05  \uff05a\uff1a=\u6642\u7cfb\u5217A\u306e\u5024\uff08\u4f8b\uff1a[10 2 30 4]\uff09  \uff05\u30bf\u30a4\u30e0\uff1a=\u6642\u7cfb\u5217A\u306e\u5024\u306e\u30bf\u30a4\u30e0\u30c6\u30f3\u30d7\u30eb\uff08\u4f8b\uff1a1\uff1a4\uff09  \uff05B\uff1a=\u6642\u7cfb\u5217B\u306e\u5024  % timeSB\u00a0:= Zeitstempel der Werte von Zeitreihe B% lambda\u00a0:= Bestrafung f\u00fcr Abst\u00e4nde bei L\u00f6schoperationen% nu    \u00a0:= Bestimmt die Elastizit\u00e4t; nu >=0 erforderlich f\u00fcr Distanzma\u00df.    %\u00dcberpr\u00fcfe, ob f\u00fcr jeden Zeitpunkt ein Zeitstempel existiert    if length(A) ~= length(timeSA)        warning('Die L\u00e4nge von A ist ungleich der L\u00e4nge timeSA')        return    end    if length(B) ~= length(timeSB)        warning('Die L\u00e4nge von B ist ungleich der L\u00e4nge timeSB')        return    end    if 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