def calculate_storage_capactiy(self, output_params={}):
"""
Calculates the storage capacity of the BiNAM, given the expected output
data and number of ones in the output. Returns the information, the
output matrix and the error counts.
"""
mat_out_res = self.calculate_output_matrix(output_params)
N, n = mat_out_res.shape
errs = entropy.calculate_errs(mat_out_res, self["mat_out"])
I = entropy.entropy_hetero(errs, n, self["data_params"]["n_ones_out"])
return I, mat_out_res, errs
def calculate_storage_capactiy(self, output_params={}):
"""
Calculates the storage capacity of the BiNAM, given the expected output
data and number of ones in the output. Returns the information, the
output matrix and the error counts.
"""
mat_out_res = self.calculate_output_matrix(output_params)
N, n = mat_out_res.shape
errs = entropy.calculate_errs(mat_out_res, self["mat_out"])
I = entropy.entropy_hetero(errs, n, self["data_params"]["n_ones_out"])
return I, mat_out_res, errs
def calculate_max_storage_capacity(self):
"""
Calculates the maximum theoretical storage capacity for this network.
"""
if hasattr(self["mat_out"], "shape") and hasattr(self["mat_in"], "shape"):
_, m = self["mat_in"].shape
_, n = self["mat_out"].shape
mem = binam.BiNAM(m, n)
else:
mem = binam.BiNAM(self["data_params"]["n_bits_in"], self["data_params"]["n_bits_out"])
mem.train_matrix(self["mat_in"], self["mat_out"])
mat_out_ref = mem.evaluate_matrix(self["mat_in"])
N, n = mat_out_ref.shape
errs_ref = entropy.calculate_errs(mat_out_ref, self["mat_out"])
I_ref = entropy.entropy_hetero(errs_ref, n, self["data_params"]["n_ones_out"])
return I_ref, mat_out_ref, errs_ref
def calculate_max_storage_capacity(self):
"""
Calculates the maximum theoretical storage capacity for this network.
"""
if hasattr(self["mat_out"], "shape") and hasattr(self["mat_in"],
"shape"):
_, m = self["mat_in"].shape
_, n = self["mat_out"].shape
mem = binam.BiNAM(m, n)
else:
mem = binam.BiNAM(
self["data_params"]["n_bits_in"],
self["data_params"]["n_bits_out"])
mem.train_matrix(self["mat_in"], self["mat_out"])
mat_out_ref = mem.evaluate_matrix(self["mat_in"])
N, n = mat_out_ref.shape
errs_ref = entropy.calculate_errs(mat_out_ref, self["mat_out"])
I_ref = entropy.entropy_hetero(errs_ref, n,
self["data_params"]["n_ones_out"])
return I_ref, mat_out_ref, errs_ref
fns_p1_adap = np.zeros((nxs, n_samples))
i = 0
for p in xs:
print("Iteration: ", p)
# Introduce some errors
X_part_p0 = np.minimum(X, (np.random.random((n_samples, n_bits)) >= p))
X_part_p1 = np.maximum(X, (np.random.random((n_samples, n_bits)) < p))
Y_part_out_p0_adap = M.evaluate_matrix(X_part_p0)
Y_part_out_p1_adap = M.evaluate_matrix(X_part_p1)
Y_part_out_p0_fix = M.evaluate_matrix(X_part_p0, threshold=n_ones)
Y_part_out_p1_fix = M.evaluate_matrix(X_part_p1, threshold=n_ones)
# Calculate the errors and the entropy
errs = entropy.calculate_errs(Y_part_out_p0_adap, Y)
info_p0_adap[i] = entropy.entropy_hetero(errs,
n_bits_out=n_bits,
n_ones_out=n_ones)
fps_p0_adap[i] = np.array(map(lambda x: x["fp"], errs))
fns_p0_adap[i] = np.array(map(lambda x: x["fn"], errs))
errs = entropy.calculate_errs(Y_part_out_p1_adap, Y)
info_p1_adap[i] = entropy.entropy_hetero(errs,
n_bits_out=n_bits,
n_ones_out=n_ones)
fps_p1_adap[i] = np.array(map(lambda x: x["fp"], errs))
fns_p1_adap[i] = np.array(map(lambda x: x["fn"], errs))
errs = entropy.calculate_errs(Y_part_out_p0_fix, Y)
info_p0_fix[i] = entropy.entropy_hetero(errs,
fns_p1_adap = np.zeros((nxs, n_samples))
i = 0
for p in xs:
print("Iteration: ", p)
# Introduce some errors
X_part_p0 = np.minimum(X, (np.random.random((n_samples, n_bits)) >= p))
X_part_p1 = np.maximum(X, (np.random.random((n_samples, n_bits)) < p))
Y_part_out_p0_adap = M.evaluate_matrix(X_part_p0)
Y_part_out_p1_adap = M.evaluate_matrix(X_part_p1)
Y_part_out_p0_fix = M.evaluate_matrix(X_part_p0, threshold=n_ones)
Y_part_out_p1_fix = M.evaluate_matrix(X_part_p1, threshold=n_ones)
# Calculate the errors and the entropy
errs = entropy.calculate_errs(Y_part_out_p0_adap, Y)
info_p0_adap[i] = entropy.entropy_hetero(errs, n_bits_out=n_bits, n_ones_out=n_ones)
fps_p0_adap[i] = np.array(map(lambda x: x["fp"], errs))
fns_p0_adap[i] = np.array(map(lambda x: x["fn"], errs))
errs = entropy.calculate_errs(Y_part_out_p1_adap, Y)
info_p1_adap[i] = entropy.entropy_hetero(errs, n_bits_out=n_bits, n_ones_out=n_ones)
fps_p1_adap[i] = np.array(map(lambda x: x["fp"], errs))
fns_p1_adap[i] = np.array(map(lambda x: x["fn"], errs))
errs = entropy.calculate_errs(Y_part_out_p0_fix, Y)
info_p0_fix[i] = entropy.entropy_hetero(errs, n_bits_out=n_bits, n_ones_out=n_ones)
fps_p0_fix[i] = np.array(map(lambda x: x["fp"], errs))
fns_p0_fix[i] = np.array(map(lambda x: x["fn"], errs))
errs = entropy.calculate_errs(Y_part_out_p1_fix, Y)
info = np.zeros(nxs)
for s in xs:
print("Iteration: ", s)
# Train the new sample
for s in xrange(s_old, s):
M.train(X[s], Y[s])
s_old = s
# Evaluate the sample
X_part = X[0:(s + 1)]
Y_part = Y[0:(s + 1)]
Y_part_out = M.evaluate_matrix(X_part)
# Calculate the errors and the entropy
errs = entropy.calculate_errs(Y_part_out, Y_part)
info[i] = entropy.entropy_hetero(errs, n_bits_out=n_bits, n_ones_out=n_ones)
n_false_positives[i] = np.sum(map(lambda x: x["fp"], errs))
n_false_negatives[i] = np.sum(map(lambda x: x["fn"], errs))
n_false_positives_mean[i] = np.mean(map(lambda x: x["fp"], errs))
n_false_negatives_mean[i] = np.mean(map(lambda x: x["fn"], errs))
n_false_positives_min[i] = np.min(map(lambda x: x["fp"], errs))
n_false_negatives_min[i] = np.min(map(lambda x: x["fn"], errs))
n_false_positives_max[i] = np.max(map(lambda x: x["fp"], errs))
n_false_negatives_max[i] = np.max(map(lambda x: x["fn"], errs))
i = i + 1
figsize = (cm2inch(11.8), cm2inch(6))