|
|
|
|
|
|
|
|
""" |
|
|
Author(s): Matthew Loper |
|
|
|
|
|
See LICENCE.txt for licensing and contact information. |
|
|
""" |
|
|
|
|
|
__all__ = ['minimize'] |
|
|
|
|
|
import numpy as np |
|
|
from . import ch |
|
|
import scipy.sparse as sp |
|
|
import scipy.optimize |
|
|
|
|
|
from .optimization_internal import minimize_dogleg |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
def minimize(fun, x0, method='dogleg', bounds=None, constraints=(), tol=None, callback=None, options=None): |
|
|
|
|
|
if method == 'dogleg': |
|
|
if options is None: options = {} |
|
|
return minimize_dogleg(fun, free_variables=x0, on_step=callback, **options) |
|
|
|
|
|
if isinstance(fun, list) or isinstance(fun, tuple): |
|
|
fun = ch.concatenate([f.ravel() for f in fun]) |
|
|
if isinstance(fun, dict): |
|
|
fun = ch.concatenate([f.ravel() for f in list(fun.values())]) |
|
|
obj = fun |
|
|
free_variables = x0 |
|
|
|
|
|
|
|
|
from .ch import SumOfSquares |
|
|
|
|
|
hessp = None |
|
|
hess = None |
|
|
if obj.size == 1: |
|
|
obj_scalar = obj |
|
|
else: |
|
|
obj_scalar = SumOfSquares(obj) |
|
|
|
|
|
def hessp(vs, p,obj, obj_scalar, free_variables): |
|
|
changevars(vs,obj,obj_scalar,free_variables) |
|
|
if not hasattr(hessp, 'vs'): |
|
|
hessp.vs = vs*0+1e16 |
|
|
if np.max(np.abs(vs-hessp.vs)) > 0: |
|
|
|
|
|
J = ns_jacfunc(vs,obj,obj_scalar,free_variables) |
|
|
hessp.J = J |
|
|
hessp.H = 2. * J.T.dot(J) |
|
|
hessp.vs = vs |
|
|
return np.array(hessp.H.dot(p)).ravel() |
|
|
|
|
|
|
|
|
if method.lower() != 'newton-cg': |
|
|
def hess(vs, obj, obj_scalar, free_variables): |
|
|
changevars(vs,obj,obj_scalar,free_variables) |
|
|
if not hasattr(hessp, 'vs'): |
|
|
hessp.vs = vs*0+1e16 |
|
|
if np.max(np.abs(vs-hessp.vs)) > 0: |
|
|
J = ns_jacfunc(vs,obj,obj_scalar,free_variables) |
|
|
hessp.H = 2. * J.T.dot(J) |
|
|
return hessp.H |
|
|
|
|
|
def changevars(vs, obj, obj_scalar, free_variables): |
|
|
cur = 0 |
|
|
changed = False |
|
|
for idx, freevar in enumerate(free_variables): |
|
|
sz = freevar.r.size |
|
|
newvals = vs[cur:cur+sz].copy().reshape(free_variables[idx].shape) |
|
|
if np.max(np.abs(newvals-free_variables[idx]).ravel()) > 0: |
|
|
free_variables[idx][:] = newvals |
|
|
changed = True |
|
|
|
|
|
cur += sz |
|
|
|
|
|
methods_without_callback = ('anneal', 'powell', 'cobyla', 'slsqp') |
|
|
if callback is not None and changed and method.lower() in methods_without_callback: |
|
|
callback(None) |
|
|
|
|
|
return changed |
|
|
|
|
|
def residuals(vs,obj, obj_scalar, free_variables): |
|
|
changevars(vs, obj, obj_scalar, free_variables) |
|
|
residuals = obj_scalar.r.ravel()[0] |
|
|
return residuals |
|
|
|
|
|
def scalar_jacfunc(vs,obj, obj_scalar, free_variables): |
|
|
if not hasattr(scalar_jacfunc, 'vs'): |
|
|
scalar_jacfunc.vs = vs*0+1e16 |
|
|
if np.max(np.abs(vs-scalar_jacfunc.vs)) == 0: |
|
|
return scalar_jacfunc.J |
|
|
|
|
|
changevars(vs, obj, obj_scalar, free_variables) |
|
|
|
|
|
if True: |
|
|
result = np.concatenate([np.array(obj_scalar.lop(wrt, np.array([[1]]))).ravel() for wrt in free_variables]) |
|
|
else: |
|
|
jacs = [obj_scalar.dr_wrt(wrt) for wrt in free_variables] |
|
|
for idx, jac in enumerate(jacs): |
|
|
if sp.issparse(jac): |
|
|
jacs[idx] = jacs[idx].todense() |
|
|
result = np.concatenate([jac.ravel() for jac in jacs]) |
|
|
|
|
|
scalar_jacfunc.J = result |
|
|
scalar_jacfunc.vs = vs |
|
|
return result.ravel() |
|
|
|
|
|
def ns_jacfunc(vs,obj, obj_scalar, free_variables): |
|
|
if not hasattr(ns_jacfunc, 'vs'): |
|
|
ns_jacfunc.vs = vs*0+1e16 |
|
|
if np.max(np.abs(vs-ns_jacfunc.vs)) == 0: |
|
|
return ns_jacfunc.J |
|
|
|
|
|
changevars(vs, obj, obj_scalar, free_variables) |
|
|
jacs = [obj.dr_wrt(wrt) for wrt in free_variables] |
|
|
result = hstack(jacs) |
|
|
|
|
|
ns_jacfunc.J = result |
|
|
ns_jacfunc.vs = vs |
|
|
return result |
|
|
|
|
|
|
|
|
x1 = scipy.optimize.minimize( |
|
|
method=method, |
|
|
fun=residuals, |
|
|
callback=callback, |
|
|
x0=np.concatenate([free_variable.r.ravel() for free_variable in free_variables]), |
|
|
jac=scalar_jacfunc, |
|
|
hessp=hessp, hess=hess, args=(obj, obj_scalar, free_variables), |
|
|
bounds=bounds, constraints=constraints, tol=tol, options=options).x |
|
|
|
|
|
changevars(x1, obj, obj_scalar, free_variables) |
|
|
return free_variables |
|
|
|
|
|
|
|
|
def main(): |
|
|
pass |
|
|
|
|
|
|
|
|
if __name__ == '__main__': |
|
|
main() |
|
|
|
|
|
|