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编写于
4月 07, 2022
作者:
K
KP
提交者:
GitHub
4月 07, 2022
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# Copyright (c) 2022 PaddlePaddle Authors. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from
typing
import
Callable
import
mcd.metrics
as
mt
import
numpy
as
np
from
mcd
import
dtw
__all__
=
[
'mcd_distance'
,
]
def
mcd_distance
(
xs
:
np
.
ndarray
,
ys
:
np
.
ndarray
,
cost_fn
:
Callable
=
mt
.
logSpecDbDist
)
->
float
:
"""Mel cepstral distortion (MCD), dtw distance.
Dynamic Time Warping.
Uses dynamic programming to compute:
Examples:
.. code-block:: python
wps[i, j] = cost_fn(xs[i], ys[j]) + min(
wps[i-1, j ], // vertical / insertion / expansion
wps[i , j-1], // horizontal / deletion / compression
wps[i-1, j-1]) // diagonal / match
dtw = sqrt(wps[-1, -1])
Cost Function:
Examples:
.. code-block:: python
logSpecDbConst = 10.0 / math.log(10.0) * math.sqrt(2.0)
def logSpecDbDist(x, y):
diff = x - y
return logSpecDbConst * math.sqrt(np.inner(diff, diff))
Args:
xs (np.ndarray): ref sequence, [T,D]
ys (np.ndarray): hyp sequence, [T,D]
cost_fn (Callable, optional): Cost function. Defaults to mt.logSpecDbDist.
Returns:
float: dtw distance
"""
min_cost
,
path
=
dtw
.
dtw
(
xs
,
ys
,
cost_fn
)
return
min_cost
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