Reconstruct Data

Reconstruct with the Decomposition Order

Both EMPR and HDMR provide reconstruct().

import numpy as np
from hdmrlib import EMPR

X = np.random.rand(10, 10)

empr = EMPR(X, order=2)
X_reconstructed = empr.reconstruct()

If order is not provided, reconstruct() uses the decomposition order stored in the object.

Reconstruct Lower-Order Approximations

X_order1 = empr.reconstruct(order=1)

This reconstructs the data using terms up to order 1.

HDMR

The same pattern applies to HDMR.

from hdmrlib import HDMR

hdmr = HDMR(X, order=2)
X_reconstructed = hdmr.reconstruct()
X_order1 = hdmr.reconstruct(order=1)

Notes

• reconstruct() returns an approximation tensor

• order=None uses the object’s stored decomposition order

• lower-order reconstruction can be requested explicitly