def test_log_mean_exp_fail():
X = np.abs(np.random.randn(100))
X[0] = -3000
direct_exp_log_mean_exp = np.exp(log_mean_exp(X))
assert_equal(direct_exp_log_mean_exp, np.inf)
def test_log_mean_exp_equals_avg_prob_of_log_probs():
X = np.abs(np.random.randn(100))
direct_exp_log_mean_exp = np.exp(log_mean_exp(X))
safe = avg_prob_of_log_probs(X)
assert_allclose(direct_exp_log_mean_exp, safe)
def test_log_mean_exp():
X = np.abs(np.random.randn(100))
direct = np.log(np.mean(np.exp(X)))
indirect = log_mean_exp(X)
assert_allclose(direct, indirect)
def test_log_mean_exp_fail():
X = np.abs(np.random.randn(100))
X[0] = -3000
direct_exp_log_mean_exp = np.exp(log_mean_exp(X))
assert_equal(direct_exp_log_mean_exp, np.inf)
def test_log_mean_exp_equals_avg_prob_of_log_probs():
X = np.abs(np.random.randn(100))
direct_exp_log_mean_exp = np.exp(log_mean_exp(X))
safe = avg_prob_of_log_probs(X)
assert_allclose(direct_exp_log_mean_exp, safe)
def test_log_mean_exp():
X = np.abs(np.random.randn(100))
direct = np.log(np.mean(np.exp(X)))
indirect = log_mean_exp(X)
assert_allclose(direct, indirect)
