Wristband Gaussian Loss deterministically Gaussianizes point embeddings via sphere-interval decomposition with a Lean-verified proof that the pushforward is uniform iff the source is N(0,I_d), plus efficient repulsion-energy computation and application to deterministic Gaussian autoencoders.
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fields
cs.LG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Defines the neural codebook channel K_{e→d}(j|i) and proves a Bernoulli-KL bound on encoder-decoder mismatch in VAEs that cannot be recovered from marginal histograms or mutual information.
citing papers explorer
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The Wristband Gaussian Loss: Deterministic, Composable Latents via a Sphere-Interval Decomposition
Wristband Gaussian Loss deterministically Gaussianizes point embeddings via sphere-interval decomposition with a Lean-verified proof that the pushforward is uniform iff the source is N(0,I_d), plus efficient repulsion-energy computation and application to deterministic Gaussian autoencoders.
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Lost and Found in Translation: Variational Diagnostics for Neural Codebook Channels
Defines the neural codebook channel K_{e→d}(j|i) and proves a Bernoulli-KL bound on encoder-decoder mismatch in VAEs that cannot be recovered from marginal histograms or mutual information.