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MAP-alignment fidelity and dataset distance for synthetic tabular data

This package implements the one-sided MAP-alignment fidelity statistic introduced by Chattopadhyay et al. and described in the manuscript “How Good Is Your Synthetic Data?”.

The core idea

For a synthetic record to be realistic, each coordinate should agree with the conditional MAP prediction inferred from real data.

Formally, for a data record x and coordinate i:

υ(x, i) = φ_i(x_i | x_{-i}) / max_y φ_i(y | x_{-i})

Averaged over samples and coordinates:

Υ(D) in [0,1]
  • High Υ: synthetic preserves real conditional structure

  • Low Υ: structural distortion (even if marginals / covariance match)

Installation

pip install lsynth

Interpretation

  • ~1.0: synthetic matches conditional structure closely

  • ~0.7: Gaussian-like distortions

  • < 0.7: strong structural mismatch

Why MAP-alignment?

Because covariance matching is insufficient.

Section VII of the manuscript gives explicit examples where:

  • Real and synthetic share identical means, variances, covariance matrices

  • Yet they differ strongly in conditional structure

  • MAP-alignment catches the discrepancy immediately

This method:

  • Detects nonlinear and higher-order structure

  • Avoids feature-embedding artifacts

  • Comes with finite-sample uncertainty control

Supported Generators

  • "LSM": use QuasiNet as a generative model via qsample

  • "BASELINE": independent-column null model

  • "CTGAN": uses SDV CTGAN synthesizer

  • Custom generators also supported

Citation

Chattopadhyay I, et al.
"How Good Is Your Synthetic Data?"

Metadata

Release files for lsynth 0.1.27

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

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Source distribution for lsynth 0.1.27
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