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cheng1378653

гæ (³õÈëÎÄ̳)

[ÇóÖú] ÓÃmatlabÀïµÄnlinfitÈçºÎÄâºÏ·Ö¶Îº¯Êý

Sample Text
t=[0 0.0833 0.25 0.5 1 2];
c=[0 0.0833 1.2491 1.7025 0.2623 0.0757];
º¯ÊýÐÎʽΪc=A*(1-exp(-K1*t))       0<=t<=T
                c=A*(1-exp(-k1*T))*exp(-k2*(t-T))     t>=T
ÈçºÎÓýű¾Ê½»òÊǺ¯ÊýʽMÎļþÄâºÏ£¬Çó³öA£¬k1,k2,(Èç¹û¿ÉÒÔÇë»®Ò»ÏÂͼÐÎ)
»Ø¸´´ËÂ¥

» ²ÂÄãϲ»¶

» ±¾Ö÷ÌâÏà¹Ø¼ÛÖµÌùÍÆ¼ö£¬¶ÔÄúͬÑùÓаïÖú:

ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
»ØÌûÖö¥ ( ¹²ÓÐ1¸ö )

lgycjpcqu

½ð³æ (ÕýʽдÊÖ)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï ¡ï ¡ï ¡ï
cheng1378653: »ØÌûÖö¥ 2013-03-29 18:09:29
cheng1378653: ½ð±Ò+2, ¡ïÓаïÖú 2013-03-30 22:02:11
fegg7502: ½ð±Ò+2, Ó¦ÖúÖ¸Êý+1, ¹ÄÀø½»Á÷ 2013-04-02 09:24:40
»¹ÊÇ2Â¥µÄ½á¹ûºÃ£¬ÓøղÅÎÒÓÃ1soptÔËËãµÄ½á¹û×÷Ϊ³õʼֵ£¬ÓÃMATLAB½øÐÐÄâºÏµÃµ½½á¹ûºÍ1Â¥Ò»Ö£¬¿´À´·ÇÏßÐÔ×îÓÅ»¯»¹ÊÇ1soptÇ¿´ó°¡
A =
-0.0367
k1 =
-14.2282
k2 =
3.7015
T =
0.3179
ÄãÐèÒªMATLAB ´úÂëµÄ»°ÈçÏÂ
clear
tic
fun1=inline('beta(1).*(1-exp(-beta(2).*t))','beta','t');
fun2=inline('beta(1).*(1-exp(-beta(2).*beta(4)))*exp(-beta(3)*(t-beta(4)))','beta','t');
fun=@(beta,t)((t<0.5).*fun1(beta,t)+(t>=0.5).*fun2(beta,t));
t=[0 0.0833 0.25 0.5 1 2];
c=[0 0.0833 1.2491 1.7025 0.2623 0.0757];
beta=nlinfit(t,c,fun,[-0.05  -6.8 3.7 0.5]);
A=beta(1);
k1=beta(2);
k2=beta(3);
T=beta(4);
warning off all
c1=beta(1).*(1-exp(-beta(2).*t(1:4)));
c2=beta(1).*(1-exp(-beta(2).*beta(4))).*exp(-beta(3).*(t(4:6)-beta(4)));
cfit(1:4)=c1;
cfit(4:6)=c2;
plot(t,c,'*')
hold on;
plot(t,cfit,'r-')
toc
4Â¥2013-03-29 10:47:34
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
ÆÕͨ»ØÌû

dingd

Ìú¸Ëľ³æ (Ö°Òµ×÷¼Ò)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï
¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
fegg7502: ½ð±Ò+1, ¹ÄÀø½»Á÷ 2013-04-02 09:24:49
1stOpt¸ü¼òµ¥£º
CODE:
Function c=if(t Data;
t=[0 0.0833 0.25 0.5 1 2];
c=[0 0.0833 1.2491 1.7025 0.2623 0.0757];

¾ù·½²î(RMSE): 0.0282872879644411
²Ð²îƽ·½ºÍ(SSE): 0.00480102396229929
Ïà¹ØÏµÊý(R): 0.999311354215736
Ïà¹ØÏµÊý֮ƽ·½(R^2): 0.998623182664489
¾ö¶¨ÏµÊý(DC): 0.998184285936899
¿¨·½ÏµÊý(Chi-Square): 0.0580621164226486
Fͳ¼Æ(F-Statistic): 367.165006987895

²ÎÊý        ×î¼Ñ¹ÀËã
----------        -------------
t1        0.317859946002189
a        -0.0366738585259589
k1        -14.2282073650289
k2        3.70145325521581

jv1.jpg

2Â¥2013-03-29 08:50:59
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

lgycjpcqu

½ð³æ (ÕýʽдÊÖ)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï
¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
fegg7502: ½ð±Ò+1, ¹ÄÀø½»Á÷ 2013-04-02 09:24:59
ÒýÓûØÌû:
2Â¥: Originally posted by dingd at 2013-03-29 08:50:59
1stOpt¸ü¼òµ¥£º

Function c=if(t<T1,A*(1-exp(-K1*t)),A*(1-exp(-k1*T1))*exp(-k2*(t-T1)));
Data;
t=;
c=;


¾ù·½²î(RMSE): 0.0282872879644411
²Ð²îƽ·½ºÍ(SSE): 0.00480102396229929
Ïà¹ØÏµÊý(R): ...

ΪɶÎÒµÄ1soptÔËËã½á¹û²»Ò»ÖÂÄØ£¿
²ÎÊý        ×î¼Ñ¹ÀËã
----------        -------------
t1                 0.500000049987681
a                  -0.0568673833778535
k1                 -6.86274581292278
k2                 3.70079073587775
²»ÊÇ˵1soptµÃµ½µÄÊÇΨһ½âÂð£¿
3Â¥2013-03-29 10:38:11
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

dingd

Ìú¸Ëľ³æ (Ö°Òµ×÷¼Ò)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï
fegg7502: ½ð±Ò+1, Ó¦ÖúÖ¸Êý+1, 3ks 2013-04-02 09:25:13
ÒýÓûØÌû:
3Â¥: Originally posted by lgycjpcqu at 2013-03-29 10:38:11
ΪɶÎÒµÄ1soptÔËËã½á¹û²»Ò»ÖÂÄØ£¿
²ÎÊý        ×î¼Ñ¹ÀËã
----------        -------------
t1                 0.500000049987681
a                  -0.0568673833778535
k1                 -6.86274581292278
k2                 3.70079073587775
...

Èç¹ûÄãÓõÄ1stOptÀϰ汾£¨Èç1.5£©£¬¿ÉÊÇÈçÏ´úÂ룺
CODE:
Variable t,c;
Function c=if(t Data;
0        0
0.0833        0.0833
0.25        1.2491
0.5        1.7025
1        0.2623
2        0.0757

5Â¥2013-03-29 11:15:58
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

lgycjpcqu

½ð³æ (ÕýʽдÊÖ)

ÒýÓûØÌû:
5Â¥: Originally posted by dingd at 2013-03-29 11:15:58
Èç¹ûÄãÓõÄ1stOptÀϰ汾£¨Èç1.5£©£¬¿ÉÊÇÈçÏ´úÂ룺

Variable t,c;
Function c=if(t<T1,A*(1-exp(-K1*t)),A*(1-exp(-k1*T1))*exp(-k2*(t-T1)));
Data;
0        0
0.0833        0.0833
0.25        1.2491
0.5        1.7025
1        0. ...

Õâ´Î¶ÔÁË£¬¿´À´ÊÇÎҵİ汾̫ÀÏÁË
6Â¥2013-03-29 13:53:09
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

cheng1378653

гæ (³õÈëÎÄ̳)

ÒýÓûØÌû:
4Â¥: Originally posted by lgycjpcqu at 2013-03-29 10:47:34
»¹ÊÇ2Â¥µÄ½á¹ûºÃ£¬ÓøղÅÎÒÓÃ1soptÔËËãµÄ½á¹û×÷Ϊ³õʼֵ£¬ÓÃMATLAB½øÐÐÄâºÏµÃµ½½á¹ûºÍ1Â¥Ò»Ö£¬¿´À´·ÇÏßÐÔ×îÓÅ»¯»¹ÊÇ1soptÇ¿´ó°¡
A =
-0.0367
k1 =
-14.2282
k2 =
3.7015
T =
0.3179
ÄãÐèÒªMATLAB ´úÂëµÄ ...

ÄãºÃ£¬ÄãµÄÕâ¸ö´úÂëÊÇĬÈÏt=0.5ʱȡµÃ×î´óÖµ£¬¶øÎÒÊÇÏëÒª¸ù¾ÝÄâºÏµÄ½á¹û£¬Çó³öÈ¡µÃ×î´óÖµµÃTÖµ£¬Ð»Ð»ÄãµÄ°ïÖú
7Â¥2013-03-30 22:01:05
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

lgycjpcqu

½ð³æ (ÕýʽдÊÖ)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï
fegg7502: ½ð±Ò+1, Ó¦ÖúÖ¸Êý+1, ¹ÄÀø½»Á÷ 2013-04-02 09:25:26
ÒýÓûØÌû:
7Â¥: Originally posted by cheng1378653 at 2013-03-30 22:01:05
ÄãºÃ£¬ÄãµÄÕâ¸ö´úÂëÊÇĬÈÏt=0.5ʱȡµÃ×î´óÖµ£¬¶øÎÒÊÇÏëÒª¸ù¾ÝÄâºÏµÄ½á¹û£¬Çó³öÈ¡µÃ×î´óÖµµÃTÖµ£¬Ð»Ð»ÄãµÄ°ïÖú...

fun=@(beta,t)((t<0.5).*fun1(beta,t)+(t>=0.5).*fun2(beta,t)); ÕâÒ»¾äÖеÄ0.5Ó¦¸Ã»»³Ébeta(4)£¬Õâ¸öÊÇÒ»¸ö²ÎÊý£¬ÎÒÍü¸Ä¹ýÀ´ÁË£¬²»ºÃÒâ˼£¬²»¹ýºÍÆäËü²ÎÊýÒ»ÑùÒ²±ØÐëÓÐÒ»¸öºÏÀíµÄ³õʼֵ²ÅÄܵõ½ºÃµÄ½á¹û¡£
8Â¥2013-03-31 10:34:12
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

cheng1378653

гæ (³õÈëÎÄ̳)

ÒýÓûØÌû:
8Â¥: Originally posted by lgycjpcqu at 2013-03-31 10:34:12
fun=@(beta,t)((t<0.5).*fun1(beta,t)+(t>=0.5).*fun2(beta,t)); ÕâÒ»¾äÖеÄ0.5Ó¦¸Ã»»³Ébeta(4)£¬Õâ¸öÊÇÒ»¸ö²ÎÊý£¬ÎÒÍü¸Ä¹ýÀ´ÁË£¬²»ºÃÒâ˼£¬²»¹ýºÍÆäËü²ÎÊýÒ»ÑùÒ²±ØÐëÓÐÒ»¸öºÏÀíµÄ³õʼֵ²ÅÄܵõ½ºÃµÄ½á¹û¡£...

лл
9Â¥2013-03-31 12:25:54
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
Ïà¹Ø°æ¿éÌø×ª ÎÒÒª¶©ÔÄÂ¥Ö÷ cheng1378653 µÄÖ÷Ìâ¸üÐÂ
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