¤W¤@¤p¸`©Ò´yzªº¤èªk¬O¤@Ó¤@¯ë©Êªº¤èªk¡A¦]¬°¥¦§â¹ï©Ò¦³°Ñ¼Æ³£¬O¤@µø¦P¤¯¡A¥þ³¡µø¬°«D½u©Ê°Ñ¼Æ¡C¦ý¬O§ÚÌÁÙ¥i¥H¶i¤@¨B§ï¨}¡A¤]´N¬O±N½u©Ê»P«D½u©Ê°Ñ¼Æ¤À¶}¡A¦U¥Î¤£¦Pªº¤èªk¨Ó³B²z¡C¥H¤W¨Ò¦Ó¨¥¡A¼Æ¾Ç¼Ò«¬¬°
$$
y= a_1 e^{\lambda_1 x} + a_2 e^{\lambda_2 x}
$$
¨ä¤¤ $a_1$ ¤Î $a_2$ ¬°½u©Ê°Ñ¼Æ¡A$\lambda_2$ ¤Î $\lambda_2$ ¬°«D½u©Ê°Ñ¼Æ¡A¦]¦¹§ÚÌ¥i¥H¹ï¥¦Ì¤À¶}³B²z¡A¦p¤U¡G
- ½u©Ê°Ñ¼Æ¡]$a_1$ ¤Î $a_2$¡^¡G¥i¨Ï¥Î³Ì¤p¥¤èªk¡A§Y¡u¥ª°£¡v©Î¡u\¡v¡C
- «D½u©Ê°Ñ¼Æ¡]$\lambda_2$ ¤Î $\lambda_2$¡^¡G¥i¨Ï¥Î Simplex ¤U©Y¦¡·j´Mªk¡]§Y fminsearch¡^¡C
¦¹¤èªkªº¦n³B¬O¡G³Ì¤p¥¤èªk¯à°÷¦b«D½u©Ê°Ñ¼Æ¡]$\lambda_2$ ¤Î $\lambda_2$¡^©T©wªº±¡ªp¤U¡A¤@¦¸§ä¨ì³Ì¦nªº½u©Ê°Ñ¼Æ¡]$a_1$ ¤Î $a_2$¡^ªºÈ¡A¦]¬°·j´MªÅ¶¡ªººû«×¥Ñ 4¡]$a_1$¡B$a_2$¡B$\lambda_1$¡B$\lambda_2$¡^¡A°¬° 2¡]$\lambda_1$¡B$\lambda_2$¡^¡A³Ì¨Î¤Æ·|§ó¦³®Ä²v¡C
¦pªGn¨Ï¥Î¤Wz²V¦¨¡]Hybrid¡^ªº¤èªk¡A¨ç¦¡ errorMeasure1 ¶·§ï¼g¦¨ errorMeasure2¡A¦p¤U¡G
¨ä¤¤ lambda ¬O«D½u©Ê°Ñ¼Æ¦V¶q¡A¥u¥]§t $\lambda_2$ ¤Î $\lambda_2$¡Adata ¤´¬OÆ[¹î¨ìªº¸ê®ÆÂI¡Aa «h¬O§Q¥Î³Ì¤p¥¤èªkºâ¥Xªº³Ì¨Î½u©Ê°Ñ¼Æ¦V¶q¡]§Y $a_1$ ¤Î $a_2$ ÀH¶Ç¤Jªº $\lambda_2$ ¤Î $\lambda_2$ ¦ÓÅÜ¡^¡A¦Ó¶Ç¦^ªº squareError ¤´¬OÁ`¥¤è»~®t¡C¦¹¨ç¼Æ©M¡@errorMeasure1¡@ªº³Ì¤j¤£¦P¦b©ó§ÚÌ¥u¶·¶Ç¤J½u©Ê°Ñ¼Æ¡]$\lambda_2$ ¤Î $\lambda_2$¡^¡A³Ì¨Î½u©Ê°Ñ¼Æ¡]$a_1$ ¤Î $a_2$¡^ªºÈ«h¦b¨ç¦¡¤¤¥Ñ³Ì¤p¥¤èªk¨M©w¡C
±ý¥Î¦¹²V¦¨ªk¨D¥X»~®t¥¤è©Mªº³Ì¤pÈ¡A¥i¿é¤J¦p¤U¡G
¦¹ºØ²V¦¨ªk¥i¥H²£¥Í¸û§Cªº»~®t¥¤è©M¡A¦P®É©Ò»Ýªºpºâ®É¶¡¤]¤ñ¸ûµu¡C
MATLABµ{¦¡³]p¡G¶i¶¥½g