Graph Regularization (Preview)

2026-02-04

The Graph Regularized PCA paper (https://arxiv.org/abs/2601.10199) allows the PCA algorithm to be aware of a dependency graph between data. It is not the first time we work with graph regularization: we had attempted to encode a temporal smoothness constraint using graph regularizer in PCA, but the result did not achieve what we want. Reading this paper now rekindled our interest in this topic, particularly in how this can be applied to financial data.

Code
import pandas as pd
import numpy as np

from alphaforge import *