1、生成資料集
class
moon_data_class
(object):
def__init__
(self,n,d,r,w)
: self.n=n
self.w=w
self.d=d
self.r=r
defsgn(self,x):if
(x>0)
:return1;
else
:return-1
;def
dbmoon
(self)
: n1 =
10*self.n
r = self.r
w2 = self.w/
2 d = self.d
done =
true
data = np.empty(0)
while done:
#generate rectangular data
tmp_x =2*
(r+w2)
*(np.random.random(
[n1,1]
)-0.5)
tmp_y =
(r+w2)
*np.random.random(
[n1,1]
) tmp = np.concatenate(
(tmp_x, tmp_y)
, axis=1)
tmp_ds = np.sqrt(tmp_x*tmp_x + tmp_y*tmp_y)
#generate double moon data ---upper
idx = np.logical_and(tmp_ds >
(r-w2)
, tmp_ds <
(r+w2)
) idx =
(idx.nonzero())
[0]if data.shape[0]
==0: data = tmp.take(idx, axis=0)
else
: data = np.concatenate(
(data, tmp.take(idx, axis=0)
), axis=0)
if data.shape[0]
>= n:
done =
false
#print (data)
db_moon = data[
0:n,:]
#print (db_moon)
#generate double moon data ----down
data_t = np.empty(
[n,2])
data_t[:,
0]= data[
0:n,0]
+ r data_t[:,
1]=-data[
0:n,1]
- d db_moon = np.concatenate(
(db_moon, data_t)
, axis=0)
return db_moon
n =1000
d =3
r =10
width =
2data_source = moon_data_class(n, d, r, width)
data = data_source.dbmoon(
)
x0 =[1
for x in
range(1
,2001)]
#固定為+1
x = np.array(
[np.reshape(x0,
len(x0)
), np.reshape(data[0:
2*n,0]
,len
(data)
), np.reshape(data[0:
2*n,1]
,len
(data))]
).transpose(
)w = np.array([1
,0,0
])d_pre =[1
for y in
range(1
,1001)]
d_pos =[-
1for y in
range(1
,1001)]
d=d_pre+d_pos
for ii in
range(50
):i=
0sum=0
for x_n in x:
y_n = data_source.sgn(np.dot(w.t, x_n)
) w = w + a*
(d[i]
- y_n)
*x_n
i = i+
1
]+w[
1]∗x
+w[2
]∗y=
0w[0] + w[1]*x+w[2]*y=0
w[0]+w
[1]∗
x+w[
2]∗y
=0於是有y=−
w[1]
/w[2
]∗x−
w[0]
/w[2
]y=-w[1]/w[2] *x-w[0]/w[2]
y=−w[1
]/w[
2]∗x
−w[0
]/w[
2]
x = np.array(
range(-
15,25)
)y =
-x*w[1]
/w[2
]-w[0]
/w[2
]plt.subplot(
211)
plt.plot(x, y,
'g--'
)plt.plot(data[
0:n,0]
, data[
0:n,1]
,'r*'
, data[n:
2*n,0]
, data[n:
2*n,1]
,'b*'
)plt.show(
)
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