seemps.analysis.optimization.optimize_mps#

seemps.analysis.optimization.optimize_mps(mps: MPS, num_indices: int = 100, make_canonical: bool = True)[source]#

Returns the minimum and maximum values of a given MPS, together with their indices. Performs two full sweeps using optima_tt, one for the left-to-right and right-to-left directions respectively.

Parameters:

mpsMPS: The MPS to optimize.
num_indicesint, default=100: The maximum amount of indices to retain from each tensor. A larger number increases the probability of finding the global maxima, but has a larger cost.
make_canonicalbool, default=True: Whether to canonicalize the MPS prior to the search and orthogonalize its tensors.

Returns:

(i_1, y_1)tuple: A tuple with the index and minimum value in the MPS.
(i_2, y_2)tuple: A tuple with the index and maximum value in the MPS.

Examples

# Compute the two extrema of a given univariate function.
# Assume that the function is already loaded.
mps_function_1d = ...
(i_min, y_min), (i_max, y_max) = optimize_mps(mps)