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zhw921116

гæ (³õÈëÎÄ̳)

[ÇóÖú] MATLABÄâºÏ ÒÑÓÐ2È˲ÎÓë

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clear all
x1=[10,20,30,40,50,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40]';
x2=[8,8,8,8,8,4,6,8,10,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8]';
x3=[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,1,2,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5]';
x4=[0,0,0,0,0,0,0,0,0,0,0,0,0,0.25,0.5,0.75,0.8,0.9,1,1.2,1.3,1.4,1.5,2]';
x=[x1,x2,x3,x4];
S=[2,2.8,3.5,4.5,4.8,3,3.3,4.5,6.8,4.5,3,2.6,4.5,6,6.5,7.6,6.8,6.2,5,3.5,3.4,1.1,0,0]';
a0=[3.208,0.073,3.265,-0.431,0.069,0.417,11,1.076,0.565]';
fun=inline('a(1)+a(2)*x1+a(3)*x2.^a(4)+a(5)*exp(a(6)*x3)+a(7)/a(8)/sqrt(pi./2)*exp(-2*(x4-a(9)).^2/a(8)/a(8))','a','x');
[a,r,j]=nlinfit(x,S,fun,a0)

MATLABÄâºÏ
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ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

zhw921116

гæ (³õÈëÎÄ̳)

ÒýÓûØÌû:
2Â¥: Originally posted by wurongjun at 2016-03-22 11:08:52
°Ñfun¸ÄһϾÍÐÐÀ²!
fun=inline('a(1)+a(2)*x(1)+a(3)*x(2).^a(4)+a(5)*exp(a(6)*x(3))+a(7)/a(8)/sqrt(pi./2)*exp(-2*(x(4)-a(9)).^2/a(8)/a(8))','a','x');
ÔËÐнá¹û:
>>
a =

    3.2080
    0.07 ...

¶àл£¬ËäÈ»ÓÃinline»¹ÊÇûÓÐËã³öÀ´£¬µ«ÊÇÓÃ@(a,x)´úÌæËã³öÀ´ÁË£¬µ«ÊǼÆËã½á¹û²»ÂúÒ⣬MATLABÄܲ»Äܸø²ÎÊý¼ÓÔ¼Êø£¬±ÈÈça(3)<0µÈ
4Â¥2016-03-22 23:23:24
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 9 ¸ö»Ø´ð

wurongjun

ר¼Ò¹ËÎÊ (Ö°Òµ×÷¼Ò)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï ¡ï
¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
zhw921116: ½ð±Ò+2, ¡ï¡ï¡ïºÜÓаïÖú 2016-03-22 23:36:41
°Ñfun¸ÄһϾÍÐÐÀ²!
fun=inline('a(1)+a(2)*x(1)+a(3)*x(2).^a(4)+a(5)*exp(a(6)*x(3))+a(7)/a(8)/sqrt(pi./2)*exp(-2*(x(4)-a(9)).^2/a(8)/a(8))','a','x');
ÔËÐнá¹û:
>>
a =

    3.2080
    0.0730
    3.2650
   -0.4310
   -0.0000
    0.3309
   11.0000
    1.0760
    0.5650


r =

   -1.9958
   -1.1958
   -0.4958
    0.5042
    0.8042
   -0.9958
   -0.6958
    0.5042
    2.8042
    0.5042
   -0.9958
   -1.3958
    0.5042
    2.0042
    2.5042
    3.6042
    2.8042
    2.2042
    1.0042
   -0.4958
   -0.5958
   -2.8958
   -3.9958
   -3.9958


j =

  1.0e+004 *

  Columns 1 through 7

    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0
    0.0001    0.0010    0.0000    0.0003    2.0452   -0.0025         0

  Columns 8 through 9

         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
         0         0
ÉÆ¶ñµ½Í·ÖÕÓб¨,È˼äÕýµÀÊDz×É£.
2Â¥2016-03-22 11:08:52
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

dingd

Ìú¸Ëľ³æ (Ö°Òµ×÷¼Ò)

¡¾´ð°¸¡¿Ó¦Öú»ØÌû

¡ï ¡ï ¡ï
¸Ðл²ÎÓ룬ӦÖúÖ¸Êý +1
zhw921116: ½ð±Ò+3, ¡ï¡ï¡ïºÜÓаïÖú 2016-03-22 23:37:08
1stOptÄâºÏ½á¹û£º
¾ù·½²î(RMSE): 0.43390091962119
²Ð²îƽ·½ºÍ(SSE): 4.51848019315474
Ïà¹ØÏµÊý(R): 0.976560633341951
Ïà¹ØÏµÊý֮ƽ·½(R^2): 0.953670670593233
È·¶¨ÏµÊý(DC): 0.953670670593233
¿¨·½ÏµÊý(Chi-Square): 1.05109921892536
Fͳ¼Æ(F-Statistic): 40.4711232389677

²ÎÊý        ×î¼Ñ¹ÀËã
----------        -------------
a1        -6.72233963538864
a2        0.0736026176846468
a3        5.69457619273679E-5
a4        4.82855796950308
a5        6.728128434041
a6        -2.75700141028568
a7        11.4573837792192
a8        1.11137672190465
a9        0.549488798892685
3Â¥2016-03-22 11:36:08
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

zhw921116

гæ (³õÈëÎÄ̳)

ÒýÓûØÌû:
3Â¥: Originally posted by dingd at 2016-03-22 11:36:08
1stOptÄâºÏ½á¹û£º
¾ù·½²î(RMSE): 0.43390091962119
²Ð²îƽ·½ºÍ(SSE): 4.51848019315474
Ïà¹ØÏµÊý(R): 0.976560633341951
Ïà¹ØÏµÊý֮ƽ·½(R^2): 0.953670670593233
È·¶¨ÏµÊý(DC): 0.953670670593233
¿¨·½ÏµÊý( ...

¶àл£¬ÎÒ²éÁËһϣ¬1stopt¿ÉÒÔ¸ø²ÎÊý¼ÓÔ¼Êø£¬Äܲ»ÄܰïæÔÙ¼ÆËãһϣ¬Èç¹û·½±ãµÄ»°¿É²»¿ÉÒÔ´«Ò»ÏÂÆÆ½âµÄ1stopt£¬¿ÉÒÔÓÃÇ®Âò¡£
x1=[10,20,30,40,50,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40]';
x2=[8,8,8,8,8,4,6,8,10,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8]';
x3=[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,1,2,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5]';
x4=[0,0,0,0,0,0,0,0,0,0,0,0,0,0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1,1.1,1.2,1.3,1.4,1.5,1.6,1.7,1.8]';
x=[x1,x2,x3,x4];
S=[2,2.8,3.5,4.5,4.8,3,3.3,4.5,6.8,4.5,3,2,4.5,5,5.7,6,6.3,6.5,7.5,7.2,6.8,6.2,5,4.2,3.5,3.4,1.1,0,0,0,0]';
a0=[8.758,0.073,-1.571,0.069,0.412,13.128,1.195,0.566]';
fun=@(a,x)a(1)+a(2)*x1+a(3)*x2+a(4)*exp(a(5)*x3)+a(6)/a(7)/sqrt(pi./2)*exp(-2.*(x4-a(8)).^2/a(8)/a(8));
[a,r,j]=nlinfit(x,S,fun,a0)
y1=fun(a,x)
a(2)>0;a(3)<0;a(4)>0;a(5)>0;a(6)>0;0.8<a(7)<1.2;0.5<a(8)<0.8;
5Â¥2016-03-22 23:34:53
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
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