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| | """ |
| | 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 |
| |
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| | from .optimization_internal import minimize_dogleg |
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| | |
| | def minimize(fun, x0, method='dogleg', bounds=None, constraints=(), tol=None, callback=None, options=None): |
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| | 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 |
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|
| | from .ch import SumOfSquares |
| |
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| | 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 |
| |
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| | |
| | 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 |
| |
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| | changevars(x1, obj, obj_scalar, free_variables) |
| | return free_variables |
| |
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| |
|
| | def main(): |
| | pass |
| |
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| |
|
| | if __name__ == '__main__': |
| | main() |
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