def softmax(x, axis=None):
"""
Softmax function which is `softmax(x) = np.exp(x)/sum(np.exp(x))`.
Args:
x (numpy.ndarray): Input array.
axis (Union[int, tuple[int]]): Axis to compute values along. Default: None.
Returns:
numpy.ndarray, has the same shape as x.
"""
from scipy.special import softmax as scipy_softmax
return scipy_softmax(x, axis)
def _create_gamut_instances(self, gamut_probabilities_rebin):
self.gamut_instances = list(
zip(*np.where(gamut_probabilities_rebin > 0.0)))
self.gamut_instances = sorted(
self.gamut_instances,
key=lambda t: gamut_probabilities_rebin[t[0], t[1]])
if len(self.gamut_instances) < self.GAMUT_SIZE:
warnings.warn(
f"The GAMUT_SIZE is reduce to {len(self.gamut_instances)} cause of the gamut probabilities"
)
self.GAMUT_SIZE = len(self.gamut_instances)
nb_to_remove = len(self.gamut_instances) - self.GAMUT_SIZE
for _ in range(nb_to_remove):
self.gamut_instances.pop(0)
self.instance_probabilities = scipy_softmax(
np.array([
self.gamut_probabilities_rebin[t] for t in self.gamut_instances
]))
return self.gamut_instances
def predict_labels(self,
data_generator,
combine_before_softmax=False,
weights=None):
"""Combine class predictions from multiple models by averaging before softmax.
Parameters
----------
data_generator : DataGenerator object
data generator to serve data batches
combine_before_softmax : bool, optional
True to combine logits across models before taking softmax; False to take softmax for
each model then combine probabilities
weights: array-like, str, or NoneType, optional
array-like: weight for each model
str: 'entropy': weight each model at each time point by inverse entropy of distribution
None: uniform weight for each model
Returns
-------
dict
- 'labels' (list of lists): corresponding labels
"""
# initialize container for labels
labels = [[] for _ in range(data_generator.n_datasets)]
for sess, dataset in enumerate(data_generator.datasets):
labels[sess] = [np.array([]) for _ in range(dataset.n_sequences)]
# process data for each model
labels_all = []
for model in self.models:
outputs_curr = model.predict_labels(
data_generator, return_scores=combine_before_softmax)
if combine_before_softmax:
labels_all.append(outputs_curr['scores'])
else:
labels_all.append(outputs_curr['labels'])
# labels_all is a list of list of lists
# access: labels_all[idx_model][idx_dataset][idx_batch]
# ensemble prediction across models
for sess, labels_sess in enumerate(labels):
for batch, labels_batch in enumerate(labels_sess):
# labels_curr is of shape (n_models, sequence_len, n_classes)
labels_curr = np.vstack(l[sess][batch][None, ...]
for l in labels_all)
# combine predictions across models
if weights is None:
# simple average across models
labels_curr = np.mean(labels_curr, axis=0)
elif isinstance(weights, str) and weights == 'entropy':
# weight each model at each time point by inverse entropy of distribution
# so that more confident models have a higher weight
# compute entropy across labels
ent = entropy(labels_curr, axis=-1)
# low entropy = high confidence, weight these more
w = 1.0 / ent
# normalize over models
w /= np.sum(w, axis=0) # shape of (n_models, sequence_len)
labels_curr = np.mean(labels_curr * w[..., None], axis=0)
elif isinstance(weights, (list, tuple, np.ndarray)):
# weight each model according to user-supplied weights
labels_curr = np.average(labels_curr,
axis=0,
weights=weights)
if combine_before_softmax:
labels[sess][batch] = scipy_softmax(labels_curr, axis=-1)
else:
labels[sess][batch] = labels_curr
return {'labels': labels}
def softmax(_input, der=False):
if (der):
pass
return scipy_softmax(_input, axis=1)
# h_real = np.load('/Users/yh9277/Dropbox/ML Beam Alignment/Data/H_Matrices FineGrid/MISO_Static_FineGrid_Hmatrices_real.npy')
# h_imag = np.load('/Users/yh9277/Dropbox/ML Beam Alignment/Data/H_Matrices FineGrid/MISO_Static_FineGrid_Hmatrices_imag.npy')
h = h_real + 1j * h_imag
# norm_factor = np.max(np.power(abs(h),2))
norm_factor = np.max(abs(h))
h_scaled = h / norm_factor
h_concat_scaled = np.concatenate((h_real / norm_factor, h_imag / norm_factor),
axis=1)
target_hard = np.argmax(np.power(
np.absolute(np.matmul(h_scaled,
DFT_codebook(n_beam, n_antenna).conj().T)), 2),
axis=1)
target_softmax = scipy_softmax(np.power(
np.absolute(np.matmul(h_scaled,
DFT_codebook(n_beam, n_antenna).conj().T)), 2),
axis=1)
train_idc, test_idc = train_test_split(np.arange(h.shape[0]), test_size=0.4)
val_idc, test_idc = train_test_split(test_idc, test_size=0.5)
x_train, y_train = h_concat_scaled[train_idc, :], target_hard[train_idc]
x_val, y_val = h_concat_scaled[val_idc, :], target_hard[val_idc]
x_test, y_test = h_concat_scaled[test_idc, :], target_hard[test_idc]
torch_x_train = torch.from_numpy(x_train)
torch_y_train = torch.from_numpy(y_train)
torch_x_val = torch.from_numpy(x_val)
torch_y_val = torch.from_numpy(y_val)
torch_x_test = torch.from_numpy(x_test)
torch_y_test = torch.from_numpy(y_test)
h_imag = np.load('D://Github Repositories/mmWave Beam Management/H_Matrices FineGrid/MISO_Static_FineGrid_Hmatrices_imag.npy')[:,antenna_sel]
loc = np.load('D://Github Repositories/mmWave Beam Management/H_Matrices FineGrid/MISO_Static_FineGrid_UE_location.npy')
# h_real = np.load('/Users/yh9277/Dropbox/ML Beam Alignment/Data/H_Matrices FineGrid/MISO_Static_FineGrid_Hmatrices_real.npy')
# h_imag = np.load('/Users/yh9277/Dropbox/ML Beam Alignment/Data/H_Matrices FineGrid/MISO_Static_FineGrid_Hmatrices_imag.npy')
h = h_real + 1j*h_imag
# norm_factor = np.max(np.power(abs(h),2))
norm_factor = np.max(abs(h))
h_scaled = h/norm_factor
h_concat_scaled = np.concatenate((h_real/norm_factor,h_imag/norm_factor),axis=1)
# target_codebook = DFT_codebook(n_beam,n_antenna)
target_codebook = DFT_beam(n_antenna, [np.pi/8, np.pi/4])
target_hard = np.argmax(np.power(np.absolute(np.matmul(h_scaled, target_codebook.conj().T)),2),axis=1)
target_softmax = scipy_softmax(np.power(np.absolute(np.matmul(h_scaled, target_codebook.conj().T)),2),axis=1)
# target_hard = target_hard > 1
# target_hard = target_hard.astype(int)
train_idc, test_idc = train_test_split(np.arange(h.shape[0]),test_size=0.4)
val_idc, test_idc = train_test_split(test_idc,test_size=0.5)
x_train,y_train = h_concat_scaled[train_idc,:],target_hard[train_idc]
x_val,y_val = h_concat_scaled[val_idc,:],target_hard[val_idc]
x_test,y_test = h_concat_scaled[test_idc,:],target_hard[test_idc]
torch_x_train = torch.from_numpy(x_train)
torch_y_train = torch.from_numpy(y_train)
torch_x_val = torch.from_numpy(x_val)
torch_y_val = torch.from_numpy(y_val)
