def do_generate(args):
K, D = 2, 2
hyper = {
'k': K,
'd': D,
}
params = {
(1, ): 0.4,
(2, ): 0.6,
(1, 1): 1,
(1, 2): 0,
(2, 1): 0,
(2, 2): 1,
}
params = generate_parameters(hyper)
params_pol = generate_poly(hyper, params)
mom = generate_moments(hyper, params)
pol = create_mom_poly(params_pol, mom)
sol = polyopt.optimize_polynomial(pol)
m = pol.monoms()
print zip(m[:(K + K * D)], sol['x'][:(K + K * D)])
return sol
def do_generate(args):
K, D = 2, 2
hyper = {
'k' : K,
'd' : D,
}
params = {
(1,) : 0.4,
(2,) : 0.6,
(1,1) : 1,
(1,2) : 0,
(2,1) : 0,
(2,2) : 1,
}
params = generate_parameters(hyper)
params_pol = generate_poly(hyper, params)
mom = generate_moments(hyper, params)
pol = create_mom_poly(params_pol,mom)
sol = polyopt.optimize_polynomial(pol)
m = pol.monoms()
print zip(m[:(K+K*D)], sol['x'][:(K+K*D)])
return sol
def test_independent_quadratic():
"""
x = 1, y = 2
Test the simple quadratic (x - 3)^2 + (y - 5)^2.
"""
a, b = 2., 3.
x, y = symbols('x,y')
pol = polyopt.by_evaluation(x, y, x=a, y=b)
sol = polyopt.optimize_polynomial(pol)
x_sol = sol[x], sol[y]
assert np.allclose([a, b], x_sol, 1e-3)
def test_symmetric_quadratic():
"""
x = 1, y = 2
Test the simple quadratic (x + y - 3)^2 + (x^2 + y^2 - 5)^2.
"""
a, b = 1., 2.
x, y = symbols('x,y')
pol = polyopt.by_evaluation(x + y, x**2 + y**2, x=a, y=b)
sol = polyopt.optimize_polynomial(pol)
x_sol = sol[x], sol[y]
# This doesn't work.
assert np.allclose([a, b], x_sol, 1e-3) == False
def test_cubic():
"""
Test the simple quadratic (x-a)^2.
"""
a = 2.
x = symbols('x')
pol = poly((x - a)**6)
x_opt = a
sol = polyopt.optimize_polynomial(pol)
x_sol = sol[x]
assert np.allclose(x_opt, x_sol, 1e-1)
def test_cubic():
"""
Test the simple quadratic (x-a)^2.
"""
a = 2.
x = symbols('x')
pol = poly( (x - a)**6 )
x_opt = a
sol = polyopt.optimize_polynomial(pol)
x_sol = sol[x]
assert np.allclose( x_opt, x_sol, 1e-1 )
def do_generate(args):
hyper = { 'k': args.k, 'd' : args.d, 'v' : args.v }
# TODO: Support arbitrary number of moments.
if hyper['v'] != 3:
raise NotImplementedError()
params = generate_parameters(hyper)
params_pol = generate_poly(hyper, params)
mom = generate_moments(hyper, params)
pol = create_mom_poly(params_pol,mom)
sol = polyopt.optimize_polynomial(pol)
print sol
return sol
def test_independent_quadratic():
"""
x = 1, y = 2
Test the simple quadratic (x - 3)^2 + (y - 5)^2.
"""
a, b = 2., 3.
x, y = symbols('x,y')
pol = polyopt.by_evaluation(
x,
y,
x = a,
y = b)
sol = polyopt.optimize_polynomial(pol)
x_sol = sol[x], sol[y]
assert np.allclose( [a, b], x_sol, 1e-3 )
def test_symmetric_quadratic():
"""
x = 1, y = 2
Test the simple quadratic (x + y - 3)^2 + (x^2 + y^2 - 5)^2.
"""
a, b = 1., 2.
x, y = symbols('x,y')
pol = polyopt.by_evaluation(
x + y,
x**2 + y**2,
x = a,
y = b)
sol = polyopt.optimize_polynomial(pol)
x_sol = sol[x], sol[y]
# This doesn't work.
assert np.allclose( [a, b], x_sol, 1e-3 ) == False
def test_broken_quadratic():
"""
x = 1, y = 2
Test the simple quadratic (pi * x + (1-pi) * y - 3)^2 + (x^2 + y^2 - 5)^2.
"""
a, b, pi = 1., 2., 0.4,
x, y = symbols('x,y')
pol = polyopt.by_evaluation(pi * x + (1 - pi) * y,
pi * x**2 + (1 - pi) * y**2,
x=a,
y=b)
sol = polyopt.optimize_polynomial(pol)
x_opt = np.array([a, b])
x_sol = sol[x], sol[y]
diff = np.sqrt((x_opt - x_sol).dot(x_opt - x_sol))
print diff
# This doesn't work.
assert np.allclose(x_opt, x_sol, 1e-1)
def test_broken_quadratic():
"""
x = 1, y = 2
Test the simple quadratic (pi * x + (1-pi) * y - 3)^2 + (x^2 + y^2 - 5)^2.
"""
a, b, pi = 1., 2., 0.4,
x, y = symbols('x,y')
pol = polyopt.by_evaluation(
pi * x + (1-pi) * y,
pi * x**2 + (1-pi) * y**2,
x = a,
y = b)
sol = polyopt.optimize_polynomial(pol)
x_opt = np.array([a,b])
x_sol = sol[x], sol[y]
diff = np.sqrt((x_opt - x_sol).dot(x_opt - x_sol))
print diff
# This doesn't work.
assert np.allclose( x_opt, x_sol, 1e-1 )
