def test_jacobian_plowrank():
for get_task in nonlinear_tasks:
loader, lc, parameters, model, function, n_output = get_task()
generator = Jacobian(layer_collection=lc,
model=model,
function=function,
n_output=n_output)
PMat_lowrank = PMatLowRank(generator=generator, examples=loader)
dw = random_pvector(lc, device=device)
dw = dw / dw.norm()
dense_tensor = PMat_lowrank.get_dense_tensor()
# Test get_diag
check_tensors(torch.diag(dense_tensor),
PMat_lowrank.get_diag(),
eps=1e-4)
# Test frobenius
frob_PMat = PMat_lowrank.frobenius_norm()
frob_direct = (dense_tensor**2).sum()**.5
check_ratio(frob_direct, frob_PMat)
# Test trace
trace_PMat = PMat_lowrank.trace()
trace_direct = torch.trace(dense_tensor)
check_ratio(trace_PMat, trace_direct)
# Test mv
mv_direct = torch.mv(dense_tensor, dw.get_flat_representation())
mv = PMat_lowrank.mv(dw)
check_tensors(mv_direct, mv.get_flat_representation())
# Test vTMV
check_ratio(torch.dot(mv_direct, dw.get_flat_representation()),
PMat_lowrank.vTMv(dw))
# Test solve
# We will try to recover mv, which is in the span of the
# low rank matrix
regul = 1e-3
mmv = PMat_lowrank.mv(mv)
mv_using_inv = PMat_lowrank.solve(mmv, regul=regul)
check_tensors(mv.get_flat_representation(),
mv_using_inv.get_flat_representation(),
eps=1e-2)
# Test inv TODO
# Test add, sub, rmul
check_tensors(1.23 * PMat_lowrank.get_dense_tensor(),
(1.23 * PMat_lowrank).get_dense_tensor())
def classify(directory, label, samples, responses, v):
images = os.listdir(path="./training_data/" + directory)
for i in images:
actual = str("./training_data/" + directory + i)
print(actual)
im = cv2.imread(actual)
img = utils.preprocess(im)
pre_processed = img.copy()
################# Now finding Contours ###################
i, contours, h = cv2.findContours(image=img,
mode=cv2.RETR_LIST,
method=cv2.CHAIN_APPROX_SIMPLE)
keys = [i for i in range(48, 58)]
for cnt in contours:
area = cv2.contourArea(cnt)
if utils.check_rectangle(area):
if v:
print("AREA: %s" % (area))
[x, y, w, h] = cv2.boundingRect(cnt)
if utils.check_ratio(x, y, w, h):
cv2.rectangle(pre_processed, (x, y), (x + w, y + h),
(0, 0, 255), 2)
responses.append(label)
sample = utils.roismall(pre_processed, x, y, w, h)
samples = np.append(samples, sample, 0)
if v:
print("Rec: %s" % directory[:1])
elif v:
print("Wrong Ration %s" % utils.ratio(x, y, w, h))
elif area > 5000 and area < 200000:
if v:
print("UNRECOGNIZED area: %s" % (area))
return samples, responses
def test_jacobian_plowrank():
for get_task in nonlinear_tasks:
loader, lc, parameters, model, function, n_output = get_task()
model.train()
generator = Jacobian(layer_collection=lc,
model=model,
loader=loader,
function=function,
n_output=n_output)
PMat_lowrank = PMatLowRank(generator)
dw = random_pvector(lc, device=device)
dense_tensor = PMat_lowrank.get_dense_tensor()
# Test get_diag
check_tensors(torch.diag(dense_tensor),
PMat_lowrank.get_diag(),
eps=1e-4)
# Test frobenius
frob_PMat = PMat_lowrank.frobenius_norm()
frob_direct = (dense_tensor**2).sum()**.5
check_ratio(frob_direct, frob_PMat)
# Test trace
trace_PMat = PMat_lowrank.trace()
trace_direct = torch.trace(dense_tensor)
check_ratio(trace_PMat, trace_direct)
# Test mv
mv_direct = torch.mv(dense_tensor, dw.get_flat_representation())
check_tensors(mv_direct,
PMat_lowrank.mv(dw).get_flat_representation())
# Test vTMV
check_ratio(torch.dot(mv_direct, dw.get_flat_representation()),
PMat_lowrank.vTMv(dw))
# Test solve TODO
# Test inv TODO
# Test add, sub, rmul
check_tensors(1.23 * PMat_lowrank.get_dense_tensor(),
(1.23 * PMat_lowrank).get_dense_tensor())
def test_jacobian_pblockdiag():
for get_task in nonlinear_tasks:
loader, lc, parameters, model, function, n_output = get_task()
model.train()
generator = Jacobian(layer_collection=lc,
model=model,
loader=loader,
function=function,
n_output=n_output)
PMat_blockdiag = PMatBlockDiag(generator)
dw = random_pvector(lc, device=device)
dense_tensor = PMat_blockdiag.get_dense_tensor()
# Test get_diag
check_tensors(torch.diag(dense_tensor),
PMat_blockdiag.get_diag())
# Test frobenius
frob_PMat = PMat_blockdiag.frobenius_norm()
frob_direct = (dense_tensor**2).sum()**.5
check_ratio(frob_direct, frob_PMat)
# Test trace
trace_PMat = PMat_blockdiag.trace()
trace_direct = torch.trace(dense_tensor)
check_ratio(trace_PMat, trace_direct)
# Test mv
mv_direct = torch.mv(dense_tensor, dw.get_flat_representation())
check_tensors(mv_direct,
PMat_blockdiag.mv(dw).get_flat_representation())
# Test vTMV
check_ratio(torch.dot(mv_direct, dw.get_flat_representation()),
PMat_blockdiag.vTMv(dw))
# Test solve
regul = 1e-3
Mv_regul = torch.mv(dense_tensor +
regul * torch.eye(PMat_blockdiag.size(0),
device=device),
dw.get_flat_representation())
Mv_regul = PVector(layer_collection=lc,
vector_repr=Mv_regul)
dw_using_inv = PMat_blockdiag.solve(Mv_regul, regul=regul)
check_tensors(dw.get_flat_representation(),
dw_using_inv.get_flat_representation(), eps=5e-3)
# Test inv
PMat_inv = PMat_blockdiag.inverse(regul=regul)
check_tensors(dw.get_flat_representation(),
PMat_inv.mv(PMat_blockdiag.mv(dw) + regul * dw)
.get_flat_representation(), eps=5e-3)
# Test add, sub, rmul
loader, lc, parameters, model, function, n_output = get_task()
model.train()
generator = Jacobian(layer_collection=lc,
model=model,
loader=loader,
function=function,
n_output=n_output)
PMat_blockdiag2 = PMatBlockDiag(generator)
check_tensors(PMat_blockdiag.get_dense_tensor() +
PMat_blockdiag2.get_dense_tensor(),
(PMat_blockdiag + PMat_blockdiag2)
.get_dense_tensor())
check_tensors(PMat_blockdiag.get_dense_tensor() -
PMat_blockdiag2.get_dense_tensor(),
(PMat_blockdiag - PMat_blockdiag2)
.get_dense_tensor())
check_tensors(1.23 * PMat_blockdiag.get_dense_tensor(),
(1.23 * PMat_blockdiag).get_dense_tensor())
def test_jacobian_pdiag_vs_pdense():
for get_task in nonlinear_tasks:
loader, lc, parameters, model, function, n_output = get_task()
model.train()
generator = Jacobian(layer_collection=lc,
model=model,
loader=loader,
function=function,
n_output=n_output)
PMat_diag = PMatDiag(generator)
PMat_dense = PMatDense(generator)
dw = random_pvector(lc, device=device)
# Test get_dense_tensor
matrix_diag = PMat_diag.get_dense_tensor()
matrix_dense = PMat_dense.get_dense_tensor()
check_tensors(torch.diag(matrix_diag),
torch.diag(matrix_dense))
assert torch.norm(matrix_diag -
torch.diag(torch.diag(matrix_diag))) < 1e-5
# Test trace
check_ratio(torch.trace(matrix_diag),
PMat_diag.trace())
# Test frobenius
check_ratio(torch.norm(matrix_diag),
PMat_diag.frobenius_norm())
# Test mv
mv_direct = torch.mv(matrix_diag, dw.get_flat_representation())
mv_PMat_diag = PMat_diag.mv(dw)
check_tensors(mv_direct,
mv_PMat_diag.get_flat_representation())
# Test vTMv
vTMv_direct = torch.dot(mv_direct, dw.get_flat_representation())
vTMv_PMat_diag = PMat_diag.vTMv(dw)
check_ratio(vTMv_direct, vTMv_PMat_diag)
# Test inverse
regul = 1e-3
PMat_diag_inverse = PMat_diag.inverse(regul)
prod = torch.mm(matrix_diag + regul * torch.eye(lc.numel(),
device=device),
PMat_diag_inverse.get_dense_tensor())
check_tensors(torch.eye(lc.numel(), device=device),
prod)
# Test solve
regul = 1e-3
Mv_regul = torch.mv(matrix_diag +
regul * torch.eye(PMat_diag.size(0),
device=device),
dw.get_flat_representation())
Mv_regul = PVector(layer_collection=lc,
vector_repr=Mv_regul)
dw_using_inv = PMat_diag.solve(Mv_regul, regul=regul)
check_tensors(dw.get_flat_representation(),
dw_using_inv.get_flat_representation(), eps=5e-3)
# Test get_diag
diag_direct = torch.diag(matrix_diag)
diag_PMat_diag = PMat_diag.get_diag()
check_tensors(diag_direct, diag_PMat_diag)
# Test add, sub, rmul
loader, lc, parameters, model, function, n_output = get_task()
model.train()
generator = Jacobian(layer_collection=lc,
model=model,
loader=loader,
function=function,
n_output=n_output)
PMat_diag2 = PMatDiag(generator)
check_tensors(PMat_diag.get_dense_tensor() +
PMat_diag2.get_dense_tensor(),
(PMat_diag + PMat_diag2).get_dense_tensor())
check_tensors(PMat_diag.get_dense_tensor() -
PMat_diag2.get_dense_tensor(),
(PMat_diag - PMat_diag2).get_dense_tensor())
check_tensors(1.23 * PMat_diag.get_dense_tensor(),
(1.23 * PMat_diag).get_dense_tensor())
def test_jacobian_pdense():
for get_task in nonlinear_tasks:
for centering in [True, False]:
loader, lc, parameters, model, function, n_output = get_task()
model.train()
generator = Jacobian(layer_collection=lc,
model=model,
loader=loader,
function=function,
n_output=n_output,
centering=centering)
PMat_dense = PMatDense(generator)
dw = random_pvector(lc, device=device)
# Test get_diag
check_tensors(torch.diag(PMat_dense.get_dense_tensor()),
PMat_dense.get_diag())
# Test frobenius
frob_PMat = PMat_dense.frobenius_norm()
frob_direct = (PMat_dense.get_dense_tensor()**2).sum()**.5
check_ratio(frob_direct, frob_PMat)
# Test trace
trace_PMat = PMat_dense.trace()
trace_direct = torch.trace(PMat_dense.get_dense_tensor())
check_ratio(trace_PMat, trace_direct)
# Test solve
# NB: regul is high since the matrix is not full rank
regul = 1e-3
Mv_regul = torch.mv(PMat_dense.get_dense_tensor() +
regul * torch.eye(PMat_dense.size(0),
device=device),
dw.get_flat_representation())
Mv_regul = PVector(layer_collection=lc,
vector_repr=Mv_regul)
dw_using_inv = PMat_dense.solve(Mv_regul, regul=regul)
check_tensors(dw.get_flat_representation(),
dw_using_inv.get_flat_representation(), eps=5e-3)
# Test inv
PMat_inv = PMat_dense.inverse(regul=regul)
check_tensors(dw.get_flat_representation(),
PMat_inv.mv(PMat_dense.mv(dw) + regul * dw)
.get_flat_representation(), eps=5e-3)
# Test add, sub, rmul
loader, lc, parameters, model, function, n_output = get_task()
model.train()
generator = Jacobian(layer_collection=lc,
model=model,
loader=loader,
function=function,
n_output=n_output,
centering=centering)
PMat_dense2 = PMatDense(generator)
check_tensors(PMat_dense.get_dense_tensor() +
PMat_dense2.get_dense_tensor(),
(PMat_dense + PMat_dense2).get_dense_tensor())
check_tensors(PMat_dense.get_dense_tensor() -
PMat_dense2.get_dense_tensor(),
(PMat_dense - PMat_dense2).get_dense_tensor())
check_tensors(1.23 * PMat_dense.get_dense_tensor(),
(1.23 * PMat_dense).get_dense_tensor())