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Selective Deep Autoencoder for Unsupervised Feature Selection

AAAI 2024 · Label-efficient and robust learning › Recognition and long-tail · approach: Data augmentation and generalization bias · 15 citations (OpenAlex)

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Proposes Selective Deep Autoencoder (SDAE), a deep autoencoder with a non-negative L1-regularized Selective Layer that learns a feature subset reconstructing latent encodings for unsupervised feature selection without fixing k in advance.

Problem

Unsupervised feature selection on high-dimensional data: choosing a compact, globally representative feature subset without labels, and without fixing the number of features in advance.

Approach

Pre-train a deep autoencoder for reconstruction, then train a Selective Layer (diagonal non-negative weights with L1 sparsity) plus the encoder to reproduce the pre-trained latent encodings from the weighted input, so the number of selected features is learned rather than set a priori.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use SDAE instead of FAE with k = 4Unsupervised feature selection on simulated data with all features · Simulated data, all features (features 1–28), testreal reconstruction MSE: 0.4283 -> 2.32e−3Helped
Use SDAE instead of FAE with k = 4Unsupervised feature selection on simulated data with all features · Simulated data, nonlinear features (features 17–28), testnonlinear feature reconstruction MSE: 0.9951 -> 5.21e−3Helped
Use SDAE instead of FAE with k = 1Unsupervised feature selection on simulated data with linear features · Simulated data, linear features (features 1–16), testreal reconstruction MSE: 9.08e−6 -> 6.04e−5Mixed
Use SDAE instead of UDFSUnsupervised feature selection · Mice Proteinlinear reconstruction error (×10−3): 9 ± 6 -> 26 ± 2Hurt
Use SDAE instead of UDFSUnsupervised feature selection · ISOLETlinear reconstruction error (×10−3): 19 ± 1 -> 16 ± 1Helped
Use SDAE instead of FAEUnsupervised feature selection · MNISTlinear reconstruction error (×10−3): 19 ± 0 -> 19 ± 0No clear effect
Use SDAE instead of FAEUnsupervised feature selection with downstream classification · Mice Proteinclassification accuracy (%): 87.8 ± 7.3 -> 94.4 ± 1.4Helped
Use SDAE instead of FAEUnsupervised feature selection with downstream classification · ISOLETclassification accuracy (%): 89.0 ± .6 -> 88.5 ± .6Hurt
Use SDAE instead of FAEUnsupervised feature selection with downstream classification · MNISTclassification accuracy (%): 92.9 ± .7 -> 91.3 ± .3Hurt

Surprising findings

Limitations

Experimental setup

Datasets: Simulated nonlinear dataset Mice Protein ISOLET MNIST

Benchmarks: Mice Protein ISOLET MNIST Simulated dataset

Metrics: linear reconstruction error (MSE) classification accuracy (extremely randomized trees) scaled and real reconstruction MSE

Baselines: LS AEFS UDFS MCFS AgnoS-S CAE FAE

Builds on: Fractal Autoencoders Concrete Autoencoders AgnoS-S Adam

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