def test_compute_I_div():
R = numpy.array([[1,2],[3,4]],dtype=float)
M = numpy.array([[1,1],[0,1]])
(I,J,K,L) = (2,2,3,1)
F = numpy.array([[1,2,3],[4,5,6]])
S = numpy.array([[7],[8],[9]])
G = numpy.array([[10],[11]])
#R_predicted = numpy.array([[500,550],[1220,1342]],dtype=float)
nmtf = NMTF(R,M,K,L)
nmtf.F = F
nmtf.S = S
nmtf.G = G
expected_I_div = sum([
1.0*math.log(1.0/500.0) - 1.0 + 500.0,
2.0*math.log(2.0/550.0) - 2.0 + 550.0,
4.0*math.log(4.0/1342.0) - 4.0 + 1342.0
])
nmtf = NMTF(R,M,K,L)
nmtf.F = F
nmtf.S = S
nmtf.G = G
I_div = nmtf.compute_I_div()
assert I_div == expected_I_div
def test_run():
###### Test updating F, G, S in that order
# Test whether a single iteration gives the correct behaviour, updating F, G, S in that order
R = numpy.array([[1,2],[3,4]],dtype='f')
M = numpy.array([[1,1],[0,1]])
K = 3
L = 1
F = numpy.array([[1,2,3],[4,5,6]],dtype='f')
S = numpy.array([[7],[8],[9]],dtype='f')
G = numpy.array([[10],[11]],dtype='f')
#FSG = numpy.array([[500,550],[1220,1342]],dtype='f')
#FS = numpy.array([[50],[122]],dtype='f')
#SG = numpy.array([[70,77],[80,88],[90,99]],dtype='f')
nmtf = NMTF(R,M,K,L)
# Check we get an Exception if W, H are undefined
with pytest.raises(AssertionError) as error:
nmtf.run(0)
assert str(error.value) == "F, S and G have not been initialised - please run NMTF.initialise() first."
nmtf.F = numpy.copy(F)
nmtf.S = numpy.copy(S)
nmtf.G = numpy.copy(G)
nmtf.run(1)
def test_predict():
R = numpy.array([[1, 2], [3, 4]], dtype=float)
M = numpy.array([[1, 1], [0, 1]])
(I, J, K, L) = (2, 2, 3, 1)
F = numpy.array([[1, 2, 3], [4, 5, 6]])
S = numpy.array([[7], [8], [9]])
G = numpy.array([[10], [11]])
#R_predicted = numpy.array([[500,550],[1220,1342]],dtype=float)
nmtf = NMTF(R, M, K, L)
nmtf.F = F
nmtf.S = S
nmtf.G = G
performances = nmtf.predict(M)
MSE = (499 * 499 + 548 * 548 + 1338 * 1338) / 3.0
R2 = 1 - (499**2 + 548**2 + 1338**2) / (
(4.0 / 3.0)**2 + (1.0 / 3.0)**2 + (5.0 / 3.0)**2) #mean=7.0/3.0
#mean_real=7.0/3.0,mean_pred=2392.0/3.0 -> diff_real=[-4.0/3.0,-1.0/3.0,5.0/3.0],diff_pred=[-892.0/3.0,-742.0/3.0,1634.0/3.0]
Rp = ((-4.0 / 3.0 * -892.0 / 3.0) + (-1.0 / 3.0 * -742.0 / 3.0) +
(5.0 / 3.0 * 1634.0 / 3.0)) / (math.sqrt((-4.0 / 3.0)**2 +
(-1.0 / 3.0)**2 +
(5.0 / 3.0)**2) *
math.sqrt((-892.0 / 3.0)**2 +
(-742.0 / 3.0)**2 +
(1634.0 / 3.0)**2))
assert performances['MSE'] == MSE
assert abs(performances['R^2'] - R2) < 0.000000001
assert abs(performances['Rp'] - Rp) < 0.000000001