tensorflow实现线性svm

简单方法：

import tensorflow as tfimport numpy as npfrom matplotlib import pyplot as pltdef placeholder_input():    x=tf.placeholder('float',shape=[None,2],name='x_batch')    y=tf.placeholder('float',shape=[None,1],name='y_batch')    return x,ydef get_base(_nx, _ny):    _xf = np.linspace(x_min, x_max, _nx)    _yf = np.linspace(y_min, y_max, _ny)    xf1, yf1 = np.meshgrid(_xf, _yf)    n_xf,n_yf=np.hstack((xf1)),np.hstack((yf1))    return _xf, _yf,np.c_[n_xf.ravel(), n_yf.ravel()]x_data=np.load('x.npy')y1=np.load('y.npy')y_data=np.reshape(y1,[200,1])step=10000tol=1e-3x,y=placeholder_input()w = tf.Variable(np.ones([2,1]), dtype=tf.float32, name="w_v")b = tf.Variable(0., dtype=tf.float32, name="b_v")y_pred =tf.matmul(x,w)+b y_predict =tf.sign( tf.matmul(x,w)+b )# cost = ∑_(i=1)^N max⁡(1-y_i⋅(w⋅x_i+b),0)+1/2 + 0.5 * ‖w‖^2cost = tf.nn.l2_loss(w)+tf.reduce_sum(tf.maximum(1-y*y_pred,0))train_step = tf.train.AdamOptimizer(0.01).minimize(cost)with tf.Session() as sess:    sess.run(tf.global_variables_initializer())    for i in range(step):        sess.run(train_step,feed_dict={x:x_data,y:y_data})        y_p,y_p1,loss,w_value,b_value=sess.run([y_predict,y_pred,cost,w,b],feed_dict={x:x_data,y:y_data})x_min, y_min = np.minimum.reduce(x_data,axis=0) -2x_max, y_max = np.maximum.reduce(x_data,axis=0) +2xf, yf , matrix_= get_base(200, 200)#xy_xf, xy_yf = np.meshgrid(xf, yf, sparse=True)z=np.sign(np.matmul(matrix_,w_value)+b_value).reshape((200,200))plt.pcolormesh(xf, yf, z, cmap=plt.cm.Paired)for i in range(200):    if y_p[i,0]==1.0:        plt.scatter(x_data[i,0],x_data[i,1],color='r')    else:        plt.scatter(x_data[i,0],x_data[i,1],color='g')plt.axis([x_min,x_max,y_min ,y_max])#plt.contour(xf, yf, z)plt.show()          

进阶：

import tensorflow as tfimport numpy as npfrom matplotlib import pyplot as pltclass SVM():    def __init__(self):        self.x=tf.placeholder('float',shape=[None,2],name='x_batch')        self.y=tf.placeholder('float',shape=[None,1],name='y_batch')        self.sess=tf.Session()    @staticmethod    def get_base(self,_nx, _ny):        _xf = np.linspace(self.x_min, self.x_max, _nx)        _yf = np.linspace(self.y_min, self.y_max, _ny)        n_xf, n_yf = np.meshgrid(_xf, _yf)        return _xf, _yf,np.c_[n_xf.ravel(), n_yf.ravel()]    def readdata(self):        x_data=np.load('x.npy')        y1=np.load('y.npy')        y_data=np.reshape(y1,[200,1])        return x_data ,y_data    def train(self,step,x_data,y_data):        w = tf.Variable(np.ones([2,1]), dtype=tf.float32, name="w_v")        b = tf.Variable(0., dtype=tf.float32, name="b_v")        self.y_pred =tf.matmul(self.x,w)+b         cost = tf.nn.l2_loss(w)+tf.reduce_sum(tf.maximum(1-self.y*self.y_pred,0))        train_step = tf.train.AdamOptimizer(0.01).minimize(cost)        self.y_predict =tf.sign( tf.matmul(self.x,w)+b )        self.sess.run(tf.global_variables_initializer())        for i in range(step):                        self.sess.run(train_step,feed_dict={self.x:x_data,self.y:y_data})            self.y_predict_value,self.w_value,self.b_value,cost_value=self.sess.run([self.y_predict,w,b,cost],feed_dict={self.x:x_data,self.y:y_data})            print('**********cost=%f***********'%cost_value)    def predict(self,y_data):               correct = tf.equal(self.y_predict_value, y_data)        precision=tf.reduce_mean(tf.cast(correct, tf.float32))         precision_value=self.sess.run(precision)        return precision_value    def drawresult(self,x_data):        self.x_min, self.y_min = np.minimum.reduce(x_data,axis=0) -2        self.x_max, self.y_max = np.maximum.reduce(x_data,axis=0) +2        xf, yf , matrix_= self.get_base(self,200, 200)        w_value=self.w_value        b_value=self.b_value        print(w_value,b_value)        z=np.sign(np.matmul(matrix_,self.w_value)+self.b_value).reshape((200,200))        plt.pcolormesh(xf, yf, z, cmap=plt.cm.Paired)        for i in range(200):            if self.y_predict_value[i,0]==1.0:                plt.scatter(x_data[i,0],x_data[i,1],color='r')            else:                plt.scatter(x_data[i,0],x_data[i,1],color='g')        plt.axis([self.x_min,self.x_max,self.y_min ,self.y_max])        #plt.contour(xf, yf, z)        plt.show()          svm=SVM()x_data,y_data=svm.readdata()svm.train(5000,x_data,y_data)precision_value=svm.predict(y_data)svm.drawresult(x_data)

没有数据的可以用这个

import tensorflow as tfimport numpy as npfrom matplotlib import pyplot as pltclass SVM():    def __init__(self):        self.x=tf.placeholder('float',shape=[None,2],name='x_batch')        self.y=tf.placeholder('float',shape=[None,1],name='y_batch')        self.sess=tf.Session()    def creat_dataset(self,size, n_dim=2, center=0, dis=2, scale=1, one_hot=False):        center1 = (np.random.random(n_dim) + center - 0.5) * scale + dis        center2 = (np.random.random(n_dim) + center - 0.5) * scale - dis        cluster1 = (np.random.randn(size, n_dim) + center1) * scale        cluster2 = (np.random.randn(size, n_dim) + center2) * scale        x_data = np.vstack((cluster1, cluster2)).astype(np.float32)        y_data = np.array([1] * size + [-1] * size)        indices = np.random.permutation(size * 2)        x_data, y_data = x_data[indices], y_data[indices]        y_data=np.reshape(y_data,(y_data.shape[0],1))        if not one_hot:            return x_data, y_data        y_data = np.array([[0, 1] if label == 1 else [1, 0] for label in y_data], dtype=np.int8)        return x_data, y_data    @staticmethod    def get_base(self,_nx, _ny):        _xf = np.linspace(self.x_min, self.x_max, _nx)        _yf = np.linspace(self.y_min, self.y_max, _ny)        n_xf, n_yf = np.meshgrid(_xf, _yf)        return _xf, _yf,np.c_[n_xf.ravel(), n_yf.ravel()]#    def readdata(self):#        #        x_data=np.load('x.npy')#        y1=np.load('y.npy')#        y_data=np.reshape(y1,[200,1])#        return x_data ,y_data    def train(self,step,x_data,y_data):        w = tf.Variable(np.ones([2,1]), dtype=tf.float32, name="w_v")        b = tf.Variable(0., dtype=tf.float32, name="b_v")        self.y_pred =tf.matmul(self.x,w)+b         cost = tf.nn.l2_loss(w)+tf.reduce_sum(tf.maximum(1-self.y*self.y_pred,0))        train_step = tf.train.AdamOptimizer(0.01).minimize(cost)        self.y_predict =tf.sign( tf.matmul(self.x,w)+b )        self.sess.run(tf.global_variables_initializer())        for i in range(step):            index=np.random.permutation(y_data.shape[0])            x_data1, y_data1 = x_data[index], y_data[index]            self.sess.run(train_step,feed_dict={self.x:x_data1[0:50],self.y:y_data1[0:50]})            self.y_predict_value,self.w_value,self.b_value,cost_value=self.sess.run([self.y_predict,w,b,cost],feed_dict={self.x:x_data,self.y:y_data})            if i%1000==0:print('**********cost=%f***********'%cost_value)    def predict(self,y_data):               correct = tf.equal(self.y_predict_value, y_data)        precision=tf.reduce_mean(tf.cast(correct, tf.float32))         precision_value=self.sess.run(precision)        return precision_value, self.y_predict_value    def drawresult(self,x_data):        self.x_min, self.y_min = np.minimum.reduce(x_data,axis=0) -2        self.x_max, self.y_max = np.maximum.reduce(x_data,axis=0) +2        xf, yf , matrix_= self.get_base(self,200, 200)        print(self.w_value,self.b_value)        z=np.sign(np.matmul(matrix_,self.w_value)+self.b_value).reshape((200,200))        plt.pcolormesh(xf, yf, z, cmap=plt.cm.Paired)        for i in range(x_data.shape[0]):            if self.y_predict_value[i,0]==1.0:                plt.scatter(x_data[i,0],x_data[i,1],color='r')            else:                plt.scatter(x_data[i,0],x_data[i,1],color='g')        plt.axis([self.x_min,self.x_max,self.y_min ,self.y_max])#        plt.contour(xf, yf, z)        plt.show()          svm=SVM()x_data,y_data=svm.creat_dataset(size=200, n_dim=2, center=0, dis=4,  one_hot=False)svm.train(5000,x_data,y_data)precision_value,y_predict_value=svm.predict(y_data)svm.drawresult(x_data)