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Merge pull request #7 from sradc/dev
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move numgrads to smallpebble dir, add TODO
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sradc authored Mar 23, 2022
2 parents 93a6e71 + ca3d033 commit 51688e0
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1 change: 1 addition & 0 deletions TODO
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- [ ] Update docstrings; use NumPy format
52 changes: 52 additions & 0 deletions smallpebble/numerical_gradients.py
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# Copyright 2022 The SmallPebble Authors, Sidney Radcliffe
#
# 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.
#
"""Numerical gradients, used for debugging and tests.
Computed using finite differences.
"""
from typing import Callable

import smallpebble.array_library as np


def numgrads(
func: Callable, args: list[np.ndarray], n: int = 1, delta: float = 1e-6
) -> list[np.ndarray]:
"Numerical nth derivatives of func w.r.t. args."
gradients = []
for i, arg in enumerate(args):

def func_i(a):
new_args = [x for x in args]
new_args[i] = a
return func(*new_args)

gradfunc = lambda a: numgrad(func_i, a, delta)

for _ in range(1, n):
prev_gradfunc = gradfunc
gradfunc = lambda a: numgrad(prev_gradfunc, a, delta)

gradients.append(gradfunc(arg))
return gradients


def numgrad(func: Callable, a: np.ndarray, delta: float = 1e-6) -> np.ndarray:
"Numerical gradient of func(a) at `a`."
grad = np.zeros(a.shape, a.dtype)
for index, _ in np.ndenumerate(grad):
delta_array = np.zeros(a.shape, a.dtype)
delta_array[index] = delta / 2
grad[index] = np.sum((func(a + delta_array) - func(a - delta_array)) / delta)
return grad
44 changes: 12 additions & 32 deletions smallpebble/tests/test_smallpebble.py
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Expand Up @@ -15,10 +15,14 @@
"""Tests for SmallPebble.
Check results, and derivatives against numerical derivatives.
"""
from typing import Callable

import pytest
import smallpebble as sp
import tensorflow as tf

import smallpebble as sp
from smallpebble.numerical_gradients import numgrads

np = sp.np

EPS = 1e-6
Expand All @@ -34,7 +38,13 @@ class NumericalError(Exception):
pass


def compare_results(args, sp_func, np_func, delta=1, eps=EPS):
def compare_results(
args: list[np.ndarray],
sp_func: Callable,
np_func: Callable,
delta: int = 1,
eps: float = EPS,
) -> None:
"""Compares:
- SmallPebble function output against NumPy function output.
- SmallPebble gradient against numerical gradient.
Expand Down Expand Up @@ -493,36 +503,6 @@ def test_sgd_step():
# ---------------- UTIL


def numgrads(func, args, n=1, delta=1e-6):
"Numerical nth derivatives of func w.r.t. args."
gradients = []
for i, arg in enumerate(args):

def func_i(a):
new_args = [x for x in args]
new_args[i] = a
return func(*new_args)

gradfunc = lambda a: numgrad(func_i, a, delta)

for _ in range(1, n):
prev_gradfunc = gradfunc
gradfunc = lambda a: numgrad(prev_gradfunc, a, delta)

gradients.append(gradfunc(arg))
return gradients


def numgrad(func, a, delta=1e-6):
"Numerical gradient of func(a) at `a`."
grad = np.zeros(a.shape, a.dtype)
for index, _ in np.ndenumerate(grad):
delta_array = np.zeros(a.shape, a.dtype)
delta_array[index] = delta / 2
grad[index] = np.sum((func(a + delta_array) - func(a - delta_array)) / delta)
return grad


def rmse(a: np.ndarray, b: np.ndarray):
"Root mean square error."
return np.sqrt(np.mean((a - b) ** 2))

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