nnd17nf.m

《神经网络设计》英文版的配套源代码

function [ret1,ret2,ret3,ret4,ret5]=nnd17nf(cmd,arg1,arg2,arg3,arg4,arg5)
%NND11NF Network function demonstration.
%
%  This demonstration requires either the MININNET functions
%  on the NND disk or the Neural Network Toolbox.
%
%  NND11NF
%  Opens demonstration with default values.
%
%  NND11NF('set',W1,b1,W2,b2,f2)
%    W1 - 2x1 weight matrix for 1st layer.
%    b1 - 2x1 bias vector for 1st layer.
%    W2 - 1x2 weight matrix for 2nd layer.
%    b2 - 1x1 bias for 2nd layer.
%    f2 - Name (string) of 2nd layer transfer function.
%  Sets network parameters accordingly.
%
%  NND11NF('random')
%  Sets network parameters to randomly chosen values.
%
% [W1,b1,W2,b2,f2] = NND11NF('get')
%  Gets network parameters.

% Copyright 1994-2002 PWS Publishing Company and The MathWorks, Inc.
% $Revision: 1.7 $

%==================================================================

% CONSTANTS
me = 'nnd17nf';
max_t = 0.5;
w_max = 3;
p_max = 5;

% FLAGS
change_func = 0;

% DEFAULTS
if nargin == 0, cmd = ''; else cmd = lower(cmd); end

% FIND WINDOW IF IT EXISTS
fig = nndfgflg(me);
if length(get(fig,'children')) == 0, fig = 0; end
  
% GET WINDOW DATA IF IT EXISTS
if fig
  H = get(fig,'userdata');
  fig_axis = H(1);            % window axis
  desc_text = H(2);           % handle to first line of text sequence
  meters = H(3:9);            % parameter axes
  indicators = H(10:16);      % paramter indicators
  %tf_icon_ptr = H(17);        % 2nd layer transfer function icon
  %tf_menu = H(18);            % 2nd layer transfer function menu
  func_axis = H(17);          % network function axis
  func_line = H(18);          % network function line
  p_line = H(19);             % vertical input line
  a_line = H(20);             % horizontal output line
  values_ptr = H(21);         % Network parameter, input & output values
  %tf_ptr = H(22);             % 2nd layer transfer functio name
end

%==================================================================
% Activate the window.
%
% ME() or ME('')
%==================================================================

if strcmp(cmd,'')
  if fig
    figure(fig)
    set(fig,'visible','on')
  else
    feval(me,'init')
  end

%==================================================================
% Close the window.
%
% ME() or ME('')
%==================================================================

elseif strcmp(cmd,'close') & (fig)
  delete(fig)

%==================================================================
% Initialize the window.
%
% ME('init')
%==================================================================

elseif strcmp(cmd,'init') & (~fig)

  % CHECK FOR NNT
  % ODJ 12/23/07 Check for NN Toolbox removed
  %if ~nnfexist(me), return, end

  % CONSTANTS
  W1 = [-1; 1];
  b1 = [2;2];
  W2 = [1 1];
  b2 = [0];
  %tf = 'purelin';
  p = 0;
  %a = feval(tf,W2*logsig(W1*p+b1)+b2);
  a = W2(1)*exp(-((p-W1(1)).*b1(1)).^2) + W2(2)*exp(-((p-W1(2)).*b1(2)).^2) + b2;
  values = [W1(1) b1(1) W2(1) W1(2) b1(2) W2(2) b2 p a];

  % NEW DEMO FIGURE
  fig = nndemof2(me,'DESIGN','Network Function','','Chapter 17');
  set(fig, ...
    'windowbuttondownfcn',nncallbk(me,'down'), ...
    'BackingStore','off',...
    'nextplot','add');
  H = get(fig,'userdata');
  fig_axis = H(1);
  desc_text = H(2);

  % ICON
  nndicon(17,458,363,'shadow')

  % NETWORK POSITIONS
  x1 = 40;     % input
  x2 = x1+90;  % 1st layer dotprod
  x3 = x2+40;  % 1st layer transfer function (radbas)
  x7 = x2-40;  % 1st layer dist
  x4 = x3+100; % 2nd layer dotprod
  x5 = x4+40;  % 2nd layer transfer function (radbas)
  x6 = x5+50;  % output
  y1 = 265;    % top neuron
  y2 = y1-20;  % input & output neuron
  y3 = y1-40;  % bottom neuron
  sz = 15;     % size of icons
  wx = 50;     % weight vertical offset (from 1st layer)
  wy = 35;     % weight horizontal offset (from middle)

  % NETWORK INPUT
  nndtext(x1-10,y2,'p');
  plot([x7-sz x1 x7-sz],[y1 y2 y3],'linewidth',2,'color',nnred);

  % TOP NEURON
  plot([x7 x7 x3 nan x2 x2],[y1+sz*2 y1 y1 nan y1+sz*2 y1],'linewidth',2,'color',nnred);
  nndsicon('dist',x7,y1,sz)
  nndsicon('dotprod',x2,y1,sz)
  nndsicon('radbas',x3,y1,sz)
  nndtext(x7-25,y1+sz*2,'W1(1,1)');
  nndtext(x2+2,y1+sz*2+11,'1');
  nndtext(x2+10,y1+sz*2,'b1(1)','left');

  % BOTTOM NEURON
  plot([x7 x7 x3 nan x2 x2],[y3-sz*2 y3 y3 nan y3-sz*2 y3],'linewidth',2,'color',nnred);
  nndsicon('dist',x7,y3,sz)
  nndsicon('dotprod',x2,y3,sz)
  nndsicon('radbas',x3,y3,sz)
  nndtext(x7-25,y3-sz*2,'W1(2,1)');
  nndtext(x2+2,y3-sz*2-13,'1');
  nndtext(x2+10,y3-sz*2,'b1(2)','left');

  % OUTPUT NEURON
  plot([x3+sz x4-10 x3+sz],[y1 y2 y3],'linewidth',2,'color',nnred);
  plot([x4 x4 x6],[y2-sz*2 y2 y2],'linewidth',2,'color',nnred);
  plot([x6-10 x6 x6-10],[y2-7 y2 y2+7],'linewidth',2,'color',nnred);
  nndsicon('sum',x4,y2,sz)
  %tf_icon = nndsicon('purelin',x5,y2,sz);
  nndsicon('purelin',x5,y2,sz);
  nndtext(x3+wx,y2+wy,'W2(1,1)');
  nndtext(x3+wx,y2-wy,'W2(1,2)');
  nndtext(x4+2,y2-sz*2-13,'1');
  nndtext(x4+10,y2-sz*2,'b2','left');
  nndtext(x5+sz+5,y2+8,'a2','left');

  % PARAMETER POSITIONS
  xx = 20 + [0:3]*90;
  yy = [330 150];

  % PARAMETER METERS & INDICATORS
  meters = [];
  indicators = [];
  for i=1:2
    for j=1:4
      pn = j+(i-1)*3;
      val = values(pn);
      if any([3 6 7] == pn)
        maxval = 2;
      elseif any([1 4] == pn)
        maxval = 4;
      else
        maxval = 4;
      end
      maxstr = num2str(maxval);
      if (i ~= 1) | (j ~= 4)
        ax = nnsfo('a2','','','');
        set(ax,...
          'units','points',...
          'position',[xx(j) yy(i) 70 20],...
          'color',nnmdgray,...
          'ylim',[-0.3 1.3],...
          'ytick',[],...
          'xlim',[-1.3 1.3]*maxval,...
          'xtick',[-1 -0.5 0 0.5 1]*maxval,...
          'xticklabel',str2mat(['-' maxstr],'','0','',maxstr));
        ind = fill([0 0.2 -0.2]*maxval+val,[0 1 1],nnred,...
          'edgecolor',nndkblue,...
          'erasemode','none');
        meters = [meters ax];
        indicators = [indicators ind];
      end
    end
  end

  % TRANSFER FUNCTION POPUP MENU
  %tf_menu = uicontrol(...
  %  'units','points',...
  %  'position',[xx(4) yy(1) 70 20],...
  %  'style','popupmenu',...
  %  'string','logsig|purelin|radbas',...
  %  'callback',[me '(''tf'')']);
  %set(tf_menu,'value',2);

  % PARAMETER LINES
  xx = xx + 0.5;
  y = yy(1)+10;
  x = xx(1)+70;
  plot([0 5 5]+x,[0 0 -45]+y,'color',nndkgray);
  x = xx(2)+70;
  plot([0 5 5 0]+x,[0 0 -45 -45]+y,'color',nndkgray);
  x = xx(3)+70;
  plot([0 5 5 -18]+x,[0 0 -60 -60]+y,'color',nndkgray);
  x = xx(4)+70;
  plot([0 5 5 -50 -50]+x,[0 0 -55 -55 -71]+y,'color',nndkgray);
  y = yy(2)+10;
  x = xx(1)+70;
  plot([0 5 5]+x,[0 0 35]+y,'color',nndkgray);
  x = xx(2)+70;
  plot([0 5 5 0]+x,[0 0 35 35]+y,'color',nndkgray);
  x = xx(3)+70;
  plot([0 5 5 -50 -50]+x,[0 0 20 20 35]+y,'color',nndkgray);
  x = xx(4)+70;
  plot([0 5 5 -55]+x,[0 0 55 55]+y,'color',nndkgray);

  % NETWORK FUNCTION
  P = -p_max:0.1:p_max;
  [R,Q] = size(P);
  %A = feval(tf,W2*logsig(W1*P+b1*ones(1,Q))+b2*ones(1,Q));
  A = W2(1)*exp(-((P-W1(1)).*b1(1)).^2) + W2(2)*exp(-((P-W1(2)).*b1(2)).^2) + b2*ones(1,Q);
  a_max = max(A);
  a_min = min(A);
  a_edge = (a_max-a_min)*0.1;

  % FUNCTION AXIS
  y = 20;
  x = 40;
  func_axis = nnsfo('a2','','','');
  set(func_axis, ...
    'units','points',...
    'position',[x y 320 110],...
    'color',nnltyell,...
    'xlim',[-1 1]*p_max+[-0.1 0.1],...
    'ylim',[a_min a_max]+[-a_edge a_edge])
  p_line = plot([p p],[a_min a_max],'--',...
    'color',nnred,...
    'erasemode','none');
  a_line = line([-p_max p],[a a],...
    'color',nnred,...
    'erasemode','none');
  func_line = plot(P,A,...
    'color',nndkblue,...
    'erasemode','none',...
    'linewidth',2);

  % BUTTONS
  drawnow % Let everything else appear before buttons 
  uicontrol(...
    'units','points',...
    'position',[400 145 60 20],...
    'string','Random',...
    'callback',[me '(''random'')'])
  uicontrol(...
    'units','points',...
    'position',[400 110 60 20],...
    'string','Contents',...
    'callback','nndtoc')
  uicontrol(...
    'units','points',...
    'position',[400 75 60 20],...
    'string','Close',...
    'callback',[me '(''close'')'])

  % DATA POINTERS
  %tf_icon_ptr = uicontrol('visible','off','userdata',tf_icon);
  value_ptr = uicontrol('visible','off','userdata',values);
  %tf_ptr = uicontrol('visible','off','userdata',tf);

  % SAVE WINDOW DATA AND LOCK
  %H = [fig_axis desc_text meters indicators  tf_icon_ptr tf_menu ...
  %  func_axis func_line p_line a_line value_ptr tf_ptr];
  H = [fig_axis desc_text meters indicators ...
    func_axis func_line p_line a_line value_ptr];

  set(fig,'userdata',H,'nextplot','new')

  % INSTRUCTION TEXT
  feval(me,'instr');

  % LOCK WINDOW
  set(fig,'nextplot','new','color',nnltgray);

  nnchkfs;

%==================================================================
% Display the instructions.
%
% ME('instr')
%==================================================================

elseif strcmp(cmd,'instr') & (fig)
  nnsettxt(desc_text,...
    'Alter network weights',...
    'and biases by dragging',...
    'the triangular shaped',...
    'indicators.',...
    '',...
    'Drag the vertical line',...
    'in the graph below to',...
    'find the output for a',...
    'particular input.',...
    '',...
    'Click on [Random] to',...
    'set each parameter',...
    'to a random value.')
    
%==================================================================
% Respond to transfer function menu.
%
% ME('tf')
%==================================================================

%elseif strcmp(cmd,'tf') & (fig)

  % GET NEW TRANSFER FUNCTION NAME
%  i = get(tf_menu,'value');
%  if i == 1, tf = 'logsig';
%  elseif i == 2, tf = 'purelin';
%  elseif i == 3, tf = 'radbas';
%  end

  % ALTER ICON
%  axes(fig_axis);
%  tf_icon = get(tf_icon_ptr,'userdata');
%  delete(tf_icon);
%  tf_icon = nndsicon(tf,310,245,15);
%  set(tf_icon_ptr,'userdata',tf_icon);

  % SAVE DATA
%  set(tf_ptr,'userdata',tf);
  
  % UPDATA FUNCTION
%  cmd = 'update';

%==================================================================
% Respond to mouse down.
%
% ME('down')
%==================================================================

elseif strcmp(cmd,'down') & (fig) & (nargin == 1)

  handled = 0;
  for i=1:7