6 R7 L7 T; D: t1 C6 z8 n% J4 ?7 m7 ?使得我们可以对于logistic回归网络的性能与相关参数有了更好的理解。 7 ~# m+ A- ~3 S; B( q 7 Z# L1 [2 ^' g: e0 X ( V0 T; G* t! d O, c# m( e2 c) w: ]9 B
下面的动图显示了在训练网络时, " k. z% E) D0 W! x: [& U4 M4 N- v0 Q( e; m% j! l6 \
不同的学习速率对于算法收敛之间的影响。 5 L" K: W; w4 S- Q1 E ! k. \/ p; r4 {; d# d( p. Q5 C r8 c2 }% j" D9 b
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下面给出了绘制这些动态曲线的相关的python指令:6 _/ [/ G$ m( T9 ]! m
: M+ [$ X6 {0 f1 Z0 L➤01 3D plot 6 q* P7 i6 e# m5 @$ [1.基本语法2 l6 R1 k8 Y1 Q7 k
在安装matplotlib之后,自动安装有 mpl_toolkits.mplot3d。 ( k5 Z/ T; X4 I! A& x * v0 F6 z% a* i#Importing Libraries1 `* s5 K* W. A
import matplotlib.pyplot as plt ) e' R' x5 V, M* f" l" tfrom mpl_toolkits.mplot3d import axes3d . ~' t- C% b& L3 n# h8 p! P1 k! i7 \7 n A/ }' [& G- l) R# T, Q
#3D Plotting% ] i$ M, `0 w. E8 l& w9 D
fig = plt.figure()" r1 z, {/ w. y( y- g6 J3 \* G7 `
ax = plt.axes(projection="3d")5 b! U8 F! [# b$ k7 ^1 n
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ax.set_xlabel('X Axes')$ j4 L; A, Z; a8 Z, c3 O& V, ^' |
ax.set_ylabel('Y Axes') " j* z1 }9 m' L H, p9 {0 Dax.set_zlabel('Z Axes'), p, t9 w0 J7 }1 G k( p# f
6 u/ f w, Y, x# \! o# }0 ^plt.show() - E; @3 `6 B/ c1 6 g% s% X* q8 |5 q# H; k0 J1 H2 + t8 Q# k5 o* s0 B8 m# q3 ' k/ G# E, z8 p% O1 m/ h+ ]4 0 G/ |6 U" K. E5 ]5 H( N% l0 V i" O1 }
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2.Python Cmd, D% S7 `- Q) H
使用pythoncmd 插入相应的语句。 & O/ ~4 C6 P h* P7 O6 O) ] u9 |: C+ J2 \% [3 s7 Y# a0 o9 x
3.举例* @. p D6 G: f, B( A# h; G
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4 ?. B6 P- O! U8 p#!/usr/local/bin/python & m$ o( s/ d$ y# -*- coding: gbk -*- # _% [, \ {+ g3 k+ L#******************************9 C% f$ o d9 P6 b/ `1 ^5 ~0 {
# TEST2.PY -- by Dr. ZhuoQing 2020-11-16' n+ G+ ]+ q# z `
# + g- c# ]9 i, T$ i# Note:4 r2 j4 Y$ l% D! V7 o2 S& B% d9 k
#****************************** ( t0 `% Z$ K3 ?' O& I0 d/ s1 j+ R" {, x9 J- V
from headm import *; E2 u( a3 Q( r
from mpl_toolkits.mplot3d import axes3d; I! J9 g p1 L& Q& U1 y! b) r
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ax = plt.axes(projection='3d') 9 X7 p, I" w: z# g6 tx = [1,2,3,4,5,6,7,8,9] # K& d# x# B' D) l6 B- ty = [2,3,4,6,7,8,9,5,1] 3 h; M6 E! f. o. R; Q+ wz = [5,6,2,4,8,6,5,6,1], ?" G5 o" V& A/ `0 m5 h) t# O
* n7 @6 R5 f7 ~: ]+ pax.plot3D(x,y,z)& x$ n* d# H- y, P2 t
ax.set_xlabel('X Axes')0 w1 J2 g+ R( P$ k# ]! I
ax.set_ylabel('Y Axes')( x4 M# H) b1 v* h! w
ax.set_zlabel('Z Axes') 7 p. \; \% S% W3 d$ q! [ 7 z, }3 n' { {plt.show() 6 T+ q( `/ z: z4 l; g ) x- J1 Y0 ^( v#------------------------------------------------------------ * b/ B+ I8 N* o" Y- [% D# END OF FILE : TEST2.PY$ E3 S; \/ g5 X" H5 V2 _
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▲ 3D plot的演示# ^! K5 q# V9 ^8 |
(2) Ex2 1 N& Q. S9 X1 ~9 b & Q( p" T; N( M3 |8 wfrom mpl_toolkits.mplot3d import axes3d. z2 J+ ?' J, J# [3 k8 c
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ax = plt.axes(projection='3d')% o' H& B5 a# s: a
. R2 p; M- R' Oangle = linspace(0, 2*pi*5, 400) 8 \) f$ T2 W; D- `: J- hx = cos(angle) 6 r: p3 _; R7 e) P% Q5 w! ay = sin(angle) : I+ S- U3 J: H. S+ T1 Zz = linspace(0, 5, 400) 0 H# U/ E {4 o. L. a# ]. G9 {4 y9 Y% k. d$ a, W
ax.plot3D(x,y,z) 8 g8 s- n s" N/ l) Oax.set_xlabel('X Axes') u( q% U o) H9 Q5 S
ax.set_ylabel('Y Axes'). p* @; Z+ A% N' ]/ V9 A
ax.set_zlabel('Z Axes')$ {! x1 e2 X8 M# X7 {
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plt.show() - K% [9 W: K; n( B8 r" H19 ?0 T' `# P) O6 s: T8 v e. {$ u
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▲ 3D绘制的例子 $ J5 t- V: Q( b% F1 Z" ](3) Ex39 H' ]$ W6 P0 v: a
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import matplotlib as mpl 0 ?; d+ ?- w& C% Ofrom mpl_toolkits.mplot3d import Axes3D/ y4 {7 k6 K: j/ P9 I3 u6 m$ L
import numpy as np, B$ n; `( ]3 B/ a0 j
import matplotlib.pyplot as plt & |) c* q) c$ u: R8 C2 c, H ; \/ B( _& B" B* U5 Lmpl.rcParams['legend.fontsize'] = 10& `# c; B' k8 d7 |5 S5 r
" ]. h8 E) N& A: V" Ufig = plt.figure()+ w2 V8 w: u5 g8 p4 x& M- C7 }' Z8 d
ax = fig.gca(projection='3d') r- c* x& v! Q% T' ?$ utheta = np.linspace(-4 * np.pi, 4 * np.pi, 100)" r3 L) D+ g! A+ r7 [' L
z = np.linspace(-2, 2, 100) |2 N! M$ a7 b; S" er = z**2 + 1. N% y5 m% l- g) H0 H9 A
x = r * np.sin(theta) , \' P+ i( E1 P9 z- D( z& r* w& ~) By = r * np.cos(theta) g H' k0 {, L5 n: l3 K* v- oax.plot(x, y, z, label='parametric curve') ; _1 U+ t$ Z \+ D. _3 _" zax.legend(), ?/ j2 o0 a% |6 _. D2 C" a( u
2 j- _& J; v* k( c ^plt.show()8 U# g9 b% W2 y5 ^
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➤02 绘制Scatter/ I( B( N$ W* u& j" p
利用和上面的相同的绘制命令, ! ?( K& V1 o3 H$ X. n* b2 e# a4 g; @5 u* s% m7 o
将原来的plot3D修改成为 scatter即可。# n" m% J' z2 \2 k1 S" [; |
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from mpl_toolkits.mplot3d import axes3d- G. m2 a6 @- I# I
/ m& Q0 R: \- k! r0 b' Qax = plt.axes(projection='3d') ; r5 E" q3 m& b . k. f1 [4 f4 y# m) |angle = linspace(0, 2*pi*5, 40)- X. W0 U" Y( o5 b$ N' d. N
x = cos(angle); D. y2 w* B" O" ^( R' m8 ~
y = sin(angle) 3 i ~7 o& F% }- x9 l8 |$ S: D/ Nz = linspace(0, 5, 40)8 Z4 _4 I8 M( y/ r% `3 [
6 E, d9 Y$ l) V1 x* K- Zax.scatter(x,y,z, color='b')% S- y% }& p- c% E( l, H
ax.set_xlabel('X Axes') 6 D* U7 _ i ]9 ~+ Nax.set_ylabel('Y Axes'); i9 `, V- ~5 o" h. O( G: i
ax.set_zlabel('Z Axes')- N$ Q, \9 ?3 s+ G; w+ ]
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plt.show() & I- P5 @7 N$ x( n$ x6 d2 u1 ' a/ t- w1 d9 h( [ E2# ^6 |- C, T- q/ x0 h. E
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15 6 n% M: s6 y: j 8 i# w. p3 M! r! ]7 @& D▲ Scatter 的例子" q* B3 s5 U ~
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➤03 绘制3D Surface4 e4 v1 R, k" |
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▲ 3D surface例子4 N9 u/ ?2 [8 E! G+ ]' V7 ~
# }4 r0 ^9 Q7 G9 R9 M- f#!/usr/local/bin/python* R& I0 c0 n3 ~" e
# -*- coding: gbk -*- 3 k b/ h" |9 f7 X( d0 N: l% D8 h#****************************** 3 z* E' O, u$ R+ \. j* E- B# TEST2.PY -- by Dr. ZhuoQing 2020-11-16 6 l! N! N/ _$ d1 H#( v9 o8 ~: S1 f
# Note: / N( \* z. q, i# |2 ~0 D#****************************** ) t) P4 z4 P" T. R # f c+ a3 c+ S6 w! c# R, cfrom headm import * * D6 v! M3 r, [9 `0 zfrom mpl_toolkits.mplot3d import axes3d 2 s4 J7 f# F- d. @7 p & v9 N$ |) u2 H9 j. j/ kax = plt.axes(projection='3d') 2 Y) k2 Y& [* X6 o+ Z, l1 {, A/ J" h* N" O# G
x = arange(-5, 5, 0.1) 3 C* K% ~0 u r, |! b7 sy = arange(-5, 5, 0.1) - `- ^8 M ~- [8 F4 v7 P) l! Qx,y = meshgrid(x, y)7 q8 u; A' O( R% g" b- _
R = sqrt(x**2+y**2) - U: L6 ?* m2 c& Yz = sin(R)" U5 Y/ o7 S( d% b) ]" k& \5 C
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ax.plot_surface(x, y, z)3 ]9 ]; t6 Y4 s3 d2 X
ax.set_xlabel('X Axes') , V H. s( s) w w6 Q6 nax.set_ylabel('Y Axes') ! R" u8 ^: F% o2 k2 Tax.set_zlabel('Z Axes')7 R. d* n( r8 _3 Z
3 w. ?; \- w! D a6 j Bplt.show() ' e+ d9 a$ I' `/ d5 ~* D8 M% }9 q3 q& b/ K* M
#------------------------------------------------------------; i4 D5 i, F* p% m: m
# END OF FILE : TEST2.PY/ s) Y$ ~3 I! w7 O4 c
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▲ 3D 绘制Surface + U1 H/ }7 \# `% ]' g& p, c/ p 2 C' z' I: H; m" q$ s, _1 k# u5 E* u0 b# Y8 `; j/ g6 O
▲ 绘制3D球表面7 z6 G" q! s) j2 D+ V" j
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(2) 举例5 l. v! [8 {1 C. J$ ^7 x6 U
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*********** ' V3 @1 w* K5 H. H+ c6 r* ~2 n" Z% z3D surface (color map)3 t5 j* i" i9 E+ m) z' |! y# d C
*********** * ?* ?, p9 k8 {Demonstrates plotting a 3D surface colored with the coolwarm color map.3 }, m0 M( O3 J# Q
The surface is made opaque by using antialiased=False.9 ?& m* r' p: o4 p0 P
Also demonstrates using the LinearLocator and custom formatting for the ) a' ]. n9 B, | }+ Bz axis tick labels. 0 m6 U' n9 v" L4 @. ?- [/ r1 ['''0 l% u5 T* Q5 p8 @* p& o, \6 P$ M
, T P, t# K9 I7 I" Zfrom mpl_toolkits.mplot3d import Axes3D # r! c s* B8 k% Eimport matplotlib.pyplot as plt; c3 _) Q: b3 w4 @3 [
from matplotlib import cm3 H$ G. e( Z1 V$ T) T/ w+ s
from matplotlib.ticker import LinearLocator, FormatStrFormatter , Z, l+ }# D* p5 L' |4 P/ ?import numpy as np ! l/ j' k! x. \5 G2 p4 M% h6 h# o- j7 g# W' N- D! K" K
fig = plt.figure() J6 B& G" f" I8 b& W3 j$ n
ax = fig.gca(projection='3d') 2 x+ s" q. D, F0 o) k( Q5 C4 U, I! Y* Y+ i* ?
# Make data. ) [9 k& i# a9 s- _0 FX = np.arange(-5, 5, 0.25), S5 I" c* a) V3 X
Y = np.arange(-5, 5, 0.25)! `: Z0 i- X0 r5 r. ]0 N
X, Y = np.meshgrid(X, Y) . g4 A% t+ j6 ?R = np.sqrt(X**2 + Y**2); \0 R/ j5 |4 v2 X, y" f1 l
Z = np.sin(R)8 _* D" ~ h& f" p+ A& q% N1 ^
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# Plot the surface. " T- D+ ~4 f ?surf = ax.plot_surface(X, Y, Z, cmap=cm.coolwarm, , A0 n0 l4 k& k& \. S linewidth=0, antialiased=False)' P7 g x; q; w3 V$ Z$ A. E0 V6 B
( W8 r1 o" ]# U) p# Customize the z axis. 5 q3 Q3 r& B" G; V! `5 a6 ?1 jax.set_zlim(-1.01, 1.01) ; l( m( x7 w, vax.zaxis.set_major_locator(LinearLocator(10))7 M- C7 Q) B- [" i, y
ax.zaxis.set_major_formatter(FormatStrFormatter('%.02f'))7 F1 q) y! W) L8 T
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# Add a color bar which maps values to colors. " r. q' V+ t* a) A: `0 ?3 Wfig.colorbar(surf, shrink=0.5, aspect=5) % D; j; ~6 x/ h/ ]% {0 j9 Z4 a 1 q% \. c. C! F0 M0 v7 dplt.show() + ^2 y( L; }, ?/ ~7 V, n8 `) { e' v6 g0 Y+ y; k. e" H0 q
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▲ 彩色表面绘制( L8 O2 I$ h; u! | \7 e1 j- {3 Q
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是不是感觉很实用呢? 9 c5 ~; N# J( e/ I% c2 E6 ~5 r; l———————————————— , A7 p! u/ b4 E% V版权声明:本文为CSDN博主「小熊猫爱恰饭」的原创文章,遵循CC 4.0 BY-SA版权协议,转载请附上原文出处链接及本声明。 2 y5 |* o) o; @( C% `( `原文链接:https://blog.csdn.net/m0_67575344/article/details/126766629; o5 g5 Y) H. n2 \1 ?. N
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