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import numpy as np |
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import cv2 |
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from multiprocessing.pool import ThreadPool |
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SZ = 20 # size of each digit is SZ x SZ |
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CLASS_N = 10 |
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def load_base(fn): |
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print 'loading "%s" ...' % fn |
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digits_img = cv2.imread(fn, 0) |
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h, w = digits_img.shape |
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digits = [np.hsplit(row, w/SZ) for row in np.vsplit(digits_img, h/SZ)] |
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digits = np.array(digits).reshape(-1, SZ, SZ) |
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digits = np.float32(digits).reshape(-1, SZ*SZ) / 255.0 |
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labels = np.repeat(np.arange(CLASS_N), len(digits)/CLASS_N) |
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return digits, labels |
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def cross_validate(model_class, params, samples, labels, kfold = 4, pool = None): |
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n = len(samples) |
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folds = np.array_split(np.arange(n), kfold) |
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def f(i): |
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model = model_class(**params) |
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test_idx = folds[i] |
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train_idx = list(folds) |
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train_idx.pop(i) |
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train_idx = np.hstack(train_idx) |
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train_samples, train_labels = samples[train_idx], labels[train_idx] |
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test_samples, test_labels = samples[test_idx], labels[test_idx] |
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model.train(train_samples, train_labels) |
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resp = model.predict(test_samples) |
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score = (resp != test_labels).mean() |
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print ".", |
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return score |
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if pool is None: |
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scores = map(f, xrange(kfold)) |
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else: |
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scores = pool.map(f, xrange(kfold)) |
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return np.mean(scores) |
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class StatModel(object): |
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def load(self, fn): |
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self.model.load(fn) |
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def save(self, fn): |
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self.model.save(fn) |
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class KNearest(StatModel): |
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def __init__(self, k = 3): |
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self.k = k |
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@staticmethod |
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def adjust(samples, labels): |
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print 'adjusting KNearest ...' |
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best_err, best_k = np.inf, -1 |
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for k in xrange(1, 11): |
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err = cross_validate(KNearest, dict(k=k), samples, labels) |
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if err < best_err: |
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best_err, best_k = err, k |
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print 'k = %d, error: %.2f %%' % (k, err*100) |
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best_params = dict(k=best_k) |
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print 'best params:', best_params |
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return best_params |
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def train(self, samples, responses): |
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self.model = cv2.KNearest() |
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self.model.train(samples, responses) |
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def predict(self, samples): |
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retval, results, neigh_resp, dists = self.model.find_nearest(samples, self.k) |
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return results.ravel() |
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class SVM(StatModel): |
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def __init__(self, C = 1, gamma = 0.5): |
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self.params = dict( kernel_type = cv2.SVM_RBF, |
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svm_type = cv2.SVM_C_SVC, |
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C = C, |
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gamma = gamma ) |
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@staticmethod |
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def adjust(samples, labels): |
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Cs = np.logspace(0, 5, 10, base=2) |
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gammas = np.logspace(-7, -2, 10, base=2) |
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scores = np.zeros((len(Cs), len(gammas))) |
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scores[:] = np.nan |
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print 'adjusting SVM (may take a long time) ...' |
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def f(job): |
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i, j = job |
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params = dict(C = Cs[i], gamma=gammas[j]) |
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score = cross_validate(SVM, params, samples, labels) |
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scores[i, j] = score |
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nready = np.isfinite(scores).sum() |
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print '%d / %d (best error: %.2f %%, last: %.2f %%)' % (nready, scores.size, np.nanmin(scores)*100, score*100) |
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pool = ThreadPool(processes=cv2.getNumberOfCPUs()) |
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pool.map(f, np.ndindex(*scores.shape)) |
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print scores |
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i, j = np.unravel_index(scores.argmin(), scores.shape) |
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best_params = dict(C = Cs[i], gamma=gammas[j]) |
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print 'best params:', best_params |
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print 'best error: %.2f %%' % (scores.min()*100) |
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return best_params |
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def train(self, samples, responses): |
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self.model = cv2.SVM() |
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self.model.train(samples, responses, params = self.params) |
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def predict(self, samples): |
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return self.model.predict_all(samples).ravel() |
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def main_adjustSVM(samples, labels): |
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params = SVM.adjust(samples, labels) |
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print 'training SVM on all samples ...' |
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model = SVN(**params) |
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model.train(samples, labels) |
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print 'saving "digits_svm.dat" ...' |
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model.save('digits_svm.dat') |
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def main_adjustKNearest(samples, labels): |
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params = KNearest.adjust(samples, labels) |
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def main_showSVM(samples, labels): |
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from common import mosaic |
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train_n = int(0.9*len(samples)) |
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digits_train, digits_test = np.split(samples[shuffle], [train_n]) |
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labels_train, labels_test = np.split(labels[shuffle], [train_n]) |
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print 'training SVM ...' |
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model = SVM(C=2.16, gamma=0.0536) |
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model.train(digits_train, labels_train) |
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train_err = (model.predict(digits_train) != labels_train).mean() |
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resp_test = model.predict(digits_test) |
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test_err = (resp_test != labels_test).mean() |
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print 'train errors: %.2f %%' % (train_err*100) |
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print 'test errors: %.2f %%' % (test_err*100) |
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# visualize test results |
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vis = [] |
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for img, flag in zip(digits_test, resp_test == labels_test): |
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img = np.uint8(img*255).reshape(SZ, SZ) |
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img = cv2.cvtColor(img, cv2.COLOR_GRAY2BGR) |
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if not flag: |
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img[...,:2] = 0 |
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vis.append(img) |
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vis = mosaic(25, vis) |
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cv2.imshow('test', vis) |
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cv2.waitKey() |
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if __name__ == '__main__': |
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samples, labels = load_base('digits.png') |
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shuffle = np.random.permutation(len(samples)) |
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samples, labels = samples[shuffle], labels[shuffle] |
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#main_adjustSVM(samples, labels) |
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#main_adjustKNearest(samples, labels) |
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main_showSVM(samples, labels) |
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