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.PHONY: all test | ||
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all: test | ||
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test: | ||
pytest |
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# optimParallel-python | ||
A parallel computing interface to the L-BFGS-B optimizer. | ||
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### Goal: | ||
Provide a parallel version of `scipy.optimize.minimize(method=’L-BFGS-B’)`. This is, for each step of the optimization the objective function `fn` and all computations involved to evaluate its gradient `gr` are evaluated in parallel. | ||
A parallel version of the L-BFGS-B optimizer of `scipy.optimize.minimize()`. | ||
Using it can significantly reduce the optimization time. For an objective | ||
function with p parameters the optimization speed increases by up to | ||
factor 1+p, when no analytic gradient is specified and 1+p processor cores | ||
with sufficient memory are available. | ||
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A similar extension of L-BFGS-B exists in the R package *optimParallel*: | ||
A similar extension of the L-BFGS-B optimizer exists in the R package *optimParallel*: | ||
- https://CRAN.R-project.org/package=optimParallel | ||
- https://doi.org/10.32614/RJ-2019-030 | ||
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### Milestones: | ||
1. Create a class `fg`, which takes a function `f` and optionally its gradient `g`. | ||
- `fg.f(x)` should evaluate `f` and `g` in parallel, store the return values in attributes, and return `f(x)`. | ||
- `fg.g(x)` if `x` was already evaluated via `fg.f(x)`, return `g(x)` without doing any computations. | ||
2. Create the function `optimParallel()` that evaluates `scipy.optimize.minimize(method=’L-BFGS-B’)` in parallel using the `fg` class. | ||
3. Create unit tests characterizing the desired behavior of `optimParallel()`. Take into account all options of `scipy.optimize.minimize(method=’L-BFGS-B’)`. | ||
4. Add functionalities to `optimParallel()` and `fg` until all tests from 3. work as expected. | ||
5. Write documentation. | ||
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### Contributions: | ||
Contributions via pull requests are welcome. |
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""" Example of `minimize_parallel()` """ | ||
from minipar.minipar import minimize_parallel | ||
from scipy.optimize import minimize | ||
import numpy as np | ||
import time | ||
from timeit import default_timer as timer | ||
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def f(x, sleep_secs=.5): | ||
print('fn') | ||
time.sleep(sleep_secs) | ||
return sum((x-14)**2) | ||
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o1 = minimize_parallel(fun=f, x0=np.array([10,20]), args=(.5)) | ||
print(o1) | ||
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## test against scipy.optimize.minimize() | ||
o2 = minimize(fun=f, x0=np.array([10,20]), args=(.5)) | ||
all(np.isclose(o1.x, o2.x, atol=1e-5)) | ||
np.isclose(o1.fun, o2.fun, atol=1e-5) | ||
all(np.isclose(o1.jac, o2.jac, atol=1e-5)) | ||
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## timing results | ||
o1_start = timer() | ||
o1 = minimize_parallel(fun=f, x0=np.array([10,20]), args=(.5)) | ||
o1_end = timer() | ||
o1_time = o1_end - o1_start | ||
o2_start = timer() | ||
o2 = minimize(fun=f, x0=np.array([10,20]), args=(.5)) | ||
o2_end = timer() | ||
o2_time = o2_end - o2_start | ||
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print("Time parallel {:2.2}\nTime standard {:2.2} ". | ||
format(o1_time, o2_time)) | ||
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## example with gradient | ||
def g(x, sleep_secs=.5): | ||
print('gr') | ||
time.sleep(sleep_secs) | ||
return 2*(x-14) | ||
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o3 = minimize_parallel(fun=f, x0=np.array([10,20]), jac=g, args=(.5)) | ||
o4 = minimize(fun=f, x0=np.array([10,20]), jac=g, args=(.5)) | ||
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all(np.isclose(o3.x, o4.x, atol=1e-5)) | ||
np.isclose(o3.fun, o4.fun, atol=1e-5) | ||
all(np.isclose(o3.jac, o4.jac, atol=1e-5)) |
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