mirror of
https://github.com/moses-smt/mosesdecoder.git
synced 2024-12-27 05:55:02 +03:00
307 lines
11 KiB
Python
Executable File
307 lines
11 KiB
Python
Executable File
#!/usr/bin/env python
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import unittest
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from math import log,exp
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import nbest
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import numpy.testing as nptest
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import sampler
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from train import *
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import util
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class TestParabaloidOptimiser(unittest.TestCase):
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def setUp(self):
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self.o = ParabaloidOptimiser(np.array([1,2,3,4]))
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def test_parabaloid_bfgs(self):
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start = np.array([2,2,2,2])
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minimum = self.o.optimise_bfgs(start)
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for m in minimum:
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self.assertAlmostEqual(m,0)
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def test_parabaloid_lbfgs(self):
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start = np.array([2,2,2,2])
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minimum = self.o.optimise_lbfgs(start)
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for m in minimum:
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self.assertAlmostEqual(m,0)
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class TestLogisticRegressionOptimiser(unittest.TestCase):
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def test_objective(self):
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x = np.array([[1], [0]])
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y = np.array([1,-1])
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lro = LogisticRegressionOptimiser(x,y)
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w = np.array([2])
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expected = -log(1 / (1 + exp(-2))) - log(0.5)
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self.assertAlmostEqual(lro.objective(w), expected)
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def test_reg_objective(self):
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x = np.array([[1], [0]])
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y = np.array([1,-1])
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alpha = 0.1
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lro = LogisticRegressionOptimiser(x,y,alpha)
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w = np.array([2])
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expected = -log(1 / (1 + exp(-2))) - log(0.5) + 0.5*2*2 * alpha
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self.assertAlmostEqual(lro.objective(w), expected)
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def test_gradient_j(self):
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x = np.array([[1], [0]])
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y = np.array([1,-1])
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lro = LogisticRegressionOptimiser(x,y)
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w = np.array([2])
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expected = -1 / (1 + exp(2))
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self.assertAlmostEqual(lro.grad_j(w,0), expected)
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def test_gradient(self):
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x = np.array([[1,1], [0,1]])
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y = np.array([1,-1])
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w = np.array([2,1])
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lro = LogisticRegressionOptimiser(x,y)
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e0 = -1 / (1 + exp(3))
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e1 = -1 / (1 + exp(3)) + 1/ (1 + exp(-1))
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actual = lro.grad(w)
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#print "expected: ",e0,e1
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self.assertAlmostEqual(actual[0], e0)
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self.assertAlmostEqual(actual[1], e1)
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def test_reg_gradient(self):
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x = np.array([[1,1], [0,1]])
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y = np.array([1,-1])
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alpha = 0.2
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w = np.array([2,1])
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lro = LogisticRegressionOptimiser(x,y, alpha)
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e0 = -1 / (1 + exp(3)) + w[0]*alpha
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e1 = -1 / (1 + exp(3)) + 1/ (1 + exp(-1)) +w[1]*alpha
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actual = lro.grad(w)
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self.assertAlmostEqual(actual[0], e0)
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self.assertAlmostEqual(actual[1], e1)
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def test_train(self):
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x = np.array([[1,1],[-1,-2]])
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y = np.array([1,-1])
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w0 = np.array([1,-1])
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lro = LogisticRegressionOptimiser(x,y)
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actual = lro.train(w0, debug=False)
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self.assertAlmostEqual(actual[0], 12.03882542)
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self.assertAlmostEqual(actual[1], 8.02317419)
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def test_train_reg(self):
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x = np.array([[1,1],[-1,1]])
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y = np.array([1,-1])
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alpha = 0.1
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w0 = np.array([1,-1])
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lro = LogisticRegressionOptimiser(x,y,alpha)
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actual = lro.train(w0, debug=False)
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self.assertAlmostEqual(actual[1],0) # 2nd input should be ignored
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# classify first example as negative, second as positive
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self.assertTrue(1 / (1+exp(-np.dot(actual,np.array([1,1])))) > 0.5)
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self.assertTrue(1 / (1+exp(-np.dot(actual,np.array([-1,-2])))) < 0.5)
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def test_xy(self):
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"""Test pre-calculation of the y_i*x_ij vectors"""
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x = np.array([[1,3], [2,8], [1,3]])
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y = np.array([1,1,-1])
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lro = LogisticRegressionOptimiser(x,y)
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expected = np.array([[1,3], [2,8], [-1,-3]])
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for i in 0,1,2:
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for j in 0,1:
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self.assertEqual(lro.xy[i][j], expected[i][j])
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#
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class TestMixtureModelTrainer(unittest.TestCase):
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def setUp(self):
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# 3 phrase table features, but last one is ignored for interpolation
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nbest._feature_index = {"tm" : [0,3], "lm" : [3,4]}
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log05 = np.log(0.5)
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log03 = np.log(0.3)
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log02 = np.log(0.2)
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log01 = np.log(0.1)
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hyp0 = nbest.Hypothesis("a |0-0| b c |1-2|", [log05, log05, log02, log03], True)
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hyp0.input_line = "A B C"
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hyp0.score = 3
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# Two ttables, columns correspond to features, rows to phrase pairs
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hyp0.phrase_scores = np.array([\
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[[0.2, 0.3],\
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[0.4, 0.3]],\
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[[0, 0.2],\
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[0.4,0.2]]])
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hyp1 = nbest.Hypothesis("x |0-2|", [log02, log03, log03, log01], True)
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hyp1.input_line = "X Y Z"
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hyp1.score = 2
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hyp1.phrase_scores = np.array([\
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[[0.1, 0.1]],\
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[[0.8,0.1]]])
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hyp2 = nbest.Hypothesis("z |0-1| w |2-2| p |3-3|", [log02, log02, log05, log05], True)
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hyp2.score = 1
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hyp2.input_line = "M N O"
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# phrase_table x phrase_pair x feature
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hyp2.phrase_scores = np.array([\
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[[0.1, 0.2],\
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[0.3,0.5],\
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[0.4,0.6]],\
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[[0.1,0.5],\
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[0.6,0.1],\
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[0.2,0.2]]])
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self.samples = [sampler.Sample(hyp0,hyp1), sampler.Sample(hyp1,hyp2)]
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self.trainer = MixtureModelTrainer(self.samples)
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def get_phrase_scores(self, hypothesis, iw):
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nptest.assert_almost_equal(np.sum(iw, axis=0), np.array([1.0,1.0]))
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phrase_probs = hypothesis.phrase_scores
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interpolated_probs = np.sum(np.expand_dims(iw,1)*phrase_probs, axis = 0)
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total_probs = np.prod(interpolated_probs, axis = 0)
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return util.safelog(total_probs)
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def model_score(self, hypothesis, weights):
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# interpolation weights
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# ttable x feature
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iw = np.array([[weights[-2], weights[-1]],
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[1-weights[-2],1-weights[-1]]])
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#print "iw:",iw
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phrase_scores = self.get_phrase_scores(hypothesis,iw)
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weighted_phrase_scores = weights[:2] * phrase_scores
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score = np.sum(weighted_phrase_scores)
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other_score = np.sum(weights[2:4]*hypothesis.fv[2:4])
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return score + other_score
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def test_objective(self):
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# 2 phrase weights, 2 other feature weights,
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# 2 interpolation weights (1 per model x 2 phrase features)
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weights = np.array([0.2,0.1,0.4,0.5,0.3,0.6])
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actual = self.trainer.objective(weights)
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# Expected objective is the sum of the logs of sigmoids of the score differences
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# Weighted by 1 if hyp1 > hyp2, -1 otherwise
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expected = 0
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for sample in self.samples:
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hyp1_model_score = self.model_score(sample.hyp1, weights)
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hyp2_model_score = self.model_score(sample.hyp2, weights)
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y = 1
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if sample.hyp2.score > sample.hyp1.score: y = -1
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expected -= log(sigmoid(y * (hyp1_model_score - hyp2_model_score)))
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# regularisation
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expected += 0.5 * self.trainer.alpha * np.dot(weights[:-2], weights[:-2])
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self.assertAlmostEquals(actual,expected)
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def test_gradient_other(self):
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# Gradients are just differences in feature vectors
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# fv(hypo0)-fv(hyp1), fv(hyp1)-fv(hyp2)
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delta_s = np.vstack((self.samples[0].hyp1.fv-self.samples[0].hyp2.fv,\
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self.samples[1].hyp1.fv-self.samples[1].hyp2.fv))
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# feature functions across rows, samples down columns
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# choose other features
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other_delta_s = delta_s[:,2:]
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actual = self.trainer.gradient_other()
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nptest.assert_almost_equal(actual,other_delta_s)
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def test_gradient_phrase(self):
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iw = np.array([[0.3, 0.4],[0.7,0.6]])
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sample_deltaf_list = []
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for sample in self.samples:
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f_A = self.get_phrase_scores(sample.hyp1, iw)
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f_B = self.get_phrase_scores(sample.hyp2, iw)
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sample_deltaf_list.append(f_A - f_B)
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expected = np.vstack(sample_deltaf_list) # samples down, features along
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actual = self.trainer.gradient_phrase(iw)
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nptest.assert_almost_equal(actual,expected)
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def test_gradient_interp(self):
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# The interpolation weights - ttable x feature
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iw = np.array([[0.3, 0.4],[0.7,0.6]])
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phrasew = np.array([1,2]) # The phrase weights
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num_ttables = iw.shape[0]
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num_phrase_features = iw.shape[1]
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bysample_list = []
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# Stack up gradients for each sample
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for sample in self.samples:
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# Get the gradient of the interpolation weights for each
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# hypothesis (A and B) in the sample
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byhyp = []
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for hyp in [sample.hyp1,sample.hyp2]:
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# the weights are flattened. rows of iw joined together, last row omitted
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grad_k = np.array([0.0] * ((num_ttables - 1) * num_phrase_features))
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# Iterate through the phrase features
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for j,probs in enumerate(np.transpose(hyp.phrase_scores)):
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# j is phrase feature index
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# probs is phrase-pair, ttable
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grad_jk = np.array([0.0] * (len(iw)-1))
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for l,phi in enumerate(probs):
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# For each phrase-pair the gradient term for the lambda
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# is the probability for this ttable - probability for last ttable
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# divided by overall phrase probability
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num = phi[:-1] - phi[-1]
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denom = np.sum(iw[:,j]*phi) # use interpolation weights for this feature
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grad_jk = grad_jk + (num/denom)
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self.assertEquals(len(grad_jk), num_ttables-1)
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#print "num",num,"denom",denom,"grad_jk",grad_jk
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# add gradient in correct place
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#print "\n",j,grad_k,phrasew[j]*grad_jk
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grad_k[j*(num_ttables-1):(j+1)*(num_ttables-1)] =\
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grad_k[j*(num_ttables-1):(j+1)*(num_ttables-1)] + phrasew[j]*grad_jk
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#print "\ngrad_k",grad_k
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byhyp.append(grad_k)
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bysample_list.append(byhyp[0]-byhyp[1])
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#print "diff: ", bysample_list[-1]
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expected = np.vstack(bysample_list)
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actual = self.trainer.gradient_interp(iw,phrasew)
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nptest.assert_almost_equal(actual,expected, decimal=5)
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def test_gradient(self):
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# 2 phrase weights, 2 other feature weights,
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# 2 interpolation weights (2 models and 2 tables)
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weights = np.array([0.2,0.1,0.4,0.5,0.6,0.3])
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expected = np.array([0.0] * len(weights))
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# Get the gradients
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iw = np.array([[weights[-2], weights[-1]],
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[1-weights[-2],1-weights[-1]]])
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phrase_g = self.trainer.gradient_phrase(iw)
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other_g = self.trainer.gradient_other()
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interp_g = self.trainer.gradient_interp(iw,weights[:2])
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for k,sample in enumerate(self.samples):
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hyp1_model_score = self.model_score(sample.hyp1, weights)
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hyp2_model_score = self.model_score(sample.hyp2, weights)
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y = 1
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if sample.hyp2.score > sample.hyp1.score: y = -1
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delta_score = hyp1_model_score - hyp2_model_score
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sig_delta_score = sigmoid(-y * delta_score)
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# phrase derivative term
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expected[:2] -= (phrase_g[k]*sig_delta_score*y)
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# other derivative term
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expected[2:4] -= (other_g[k]*sig_delta_score*y)
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# inter derivative term
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expected[-2:] -= (interp_g[k]*sig_delta_score*y)
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expected += self.trainer.alpha*np.append(weights[:-2], np.array([0.0,0.0]))
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actual = self.trainer.gradient(weights)
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nptest.assert_almost_equal(actual,expected)
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def test_split_weights(self):
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w = np.array([1,2,3,4,0.2,0.3])
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sw = self.trainer.get_split_weights(w)
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self.assertEquals(len(sw),3)
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nptest.assert_almost_equal(sw['phrase'], np.array([1,2]))
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nptest.assert_almost_equal(sw['other'], np.array([3,4]))
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nptest.assert_almost_equal(sw['interp'], \
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np.array([[0.2,0.3], [0.8,0.7]]))
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def test_train(self):
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"""Simple test that it runs without errors"""
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print "x=",self.trainer.train()
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if __name__ == "__main__":
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unittest.main()
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suite = unittest.TestSuite([
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unittest.TestLoader().loadTestsFromTestCase(TestParabaloidOptimiser),
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unittest.TestLoader().loadTestsFromTestCase(TestLogisticRegressionOptimiser),
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unittest.TestLoader().loadTestsFromTestCase(TestMixtureModelTrainer)])
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