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Poster
in
Workshop: High-dimensional Learning Dynamics Workshop: The Emergence of Structure and Reasoning

All Roads Lead to Rome? Exploring Representational Similarities Between Latent Spaces of Generative Image Models

Charumathi Badrinath · Usha Bhalla · Alex Oesterling · Suraj Srinivas · Himabindu Lakkaraju


Abstract:

Do different generative image models secretly learn similar underlying representations? We investigate this by measuring the latent space similarity of four different models: VAEs, GANs, Normalizing Flows (NFs), and Diffusion Models (DMs). Our methodology involves training linear maps between frozen latent spaces to "stitch" arbitrary pairs of encoders and decoders and measuring output-based and probe-based metrics on the resulting "stitched'' models. Our main findings are that linear maps between latent spaces of performant models preserve most visual information even when latent sizes differ; for CelebA models, gender is the most similarly represented probe-able attribute. Finally we show on an NF that latent space representations converge early in training.

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