Structural Equation–VAE (SE-VAE) for interpretable disentangled latents on tabular data (PyTorch)
Project description
SEVAE: Structural Equation–VAE
Interpretable, disentangled latents for tabular data via a theory-driven architecture.
SEVAE mirrors structural-equation modeling (SEM): each construct has its own encoder/decoder block, plus an optional nuisance (“method”) latent and global cross-talk context.
Features
- Per-construct latents (
Kconstructs ×d_per_construct) - Global cross-talk (
context_dim) concatenated to each construct encoder - Nuisance latent(s) over the full input (
n_nuisance_blocks × d_nuisance) - Adversarial leakage penalty
- KL annealing via a single knob (
cfg.kl_weight) you can change during training - Flexible column indexing:
- contiguous blocks via
items_per_construct(default), - arbitrary index lists with
model.bind_column_groups([...]), - name-based with
cfg.feature_name_groups+model.bind_feature_names(names).
- contiguous blocks via
Install
# 1) Install a matching Torch wheel for your platform (CPU or CUDA)
# (example for CUDA 12.1 — change as needed)
pip install torch --index-url https://download.pytorch.org/whl/cu121
# or simply: pip install torch (CPU wheels)
# 2) Install SEVAE
pip install sevae
# or: pip install 'sevae[torch]' (declares a torch extra)
Quickstart
import torch
from sevae import SEVAE, SEVAEConfig
K, J = 6, 8
cfg = SEVAEConfig(
n_constructs=K,
items_per_construct=J, # contiguous groups: [F1 items][F2 items]...[FK items]
d_per_construct=1,
d_nuisance=1,
n_nuisance_blocks=1,
context_dim=1, # small cross-talk like "global_context"
hidden=128,
dropout=0.05,
# structure losses (can start at 0 and tune later)
tc_weight=6.4,
ortho_weight=1.0,
leakage_weight=0.5,
# KL weight is a knob you can anneal while training
kl_weight=0.0
)
model = SEVAE(cfg)
x = torch.randn(64, K * J)
out = model(x) # forward
losses = model.loss(x, out)
(losses["loss_total"]).backward()
Flexible column indexing
A) Arbitrary index groups
# Suppose your 48 columns are interleaved. Provide groups explicitly:
column_groups = [
[0, 7, 14, 21, 28, 35, 42, 47], # construct 0 item indices
[1, 8, 15, 22, 29, 36, 43, 46], # construct 1
# ...
]
model.bind_column_groups(column_groups)
B) Name-based groups
# If you have pandas columns, bind by names once:
cfg = SEVAEConfig(
n_constructs=K,
items_per_construct=J,
feature_name_groups=[
[f"F1_Item{j}" for j in range(1, J+1)],
[f"F2_Item{j}" for j in range(1, J+1)],
# ...
],
context_dim=1,
)
model = SEVAE(cfg)
model.bind_feature_names(df.columns.tolist())
Citation
Zhang, R., Zhao, C., Zhao, X., Nie, L., & Lam, W. F. (2025). Structural Equation-VAE: Disentangled Latent Representations for Tabular Data. arXiv preprint arXiv:2508.06347.
@article{zhang2025structural,
title={Structural Equation-VAE: Disentangled Latent Representations for Tabular Data},
author={Zhang, Ruiyu and Zhao, Ce and Zhao, Xin and Nie, Lin and Lam, Wai-Fung},
journal={arXiv preprint arXiv:2508.06347},
year={2025}
}
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