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20242026
most citedLosing dimensions: Geometric memorization in generative diffusion

1 citations · 1 across the 2 of their papers we have counts for

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6 papers

stat.ML20261 cited

Losing dimensions: Geometric memorization in generative diffusion

Beatrice Achilli, Enrico Ventura, Gianluigi Silvestri +5

Diffusion models power leading generative AI, but when and how they memorize training data, especially on low-dimensional manifolds, remains unclear. We find memorization emerges g…

cs.LG2026

Learning from Partial Chain-of-Thought via Truncated-Reasoning Self-Distillation

Gianluigi Silvestri, Edoardo Cetin

Reasoning-oriented language models achieve strong performance by generating long chain-of-thought traces at inference time. However, this capability comes with substantial and ofte…

stat.ML2025

CoVAE: Consistency Training of Variational Autoencoders

Gianluigi Silvestri, Luca Ambrogioni

Current state-of-the-art generative approaches frequently rely on a two-stage training procedure, where an autoencoder (often a VAE) first performs dimensionality reduction, follow…

cs.LG2025

VCT: Training Consistency Models with Variational Noise Coupling

Gianluigi Silvestri, Luca Ambrogioni, Chieh-Hsin Lai +2

Consistency Training (CT) has recently emerged as a strong alternative to diffusion models for image generation. However, non-distillation CT often suffers from high variance and i…

stat.ML2025

Manifolds, Random Matrices and Spectral Gaps: The geometric phases of generative diffusion

Enrico Ventura, Beatrice Achilli, Gianluigi Silvestri +2

In this paper, we investigate the latent geometry of generative diffusion models under the manifold hypothesis. For this purpose, we analyze the spectrum of eigenvalues (and singul…

cs.LG2024

Reinforcement Learning of Adaptive Acquisition Policies for Inverse Problems

Gianluigi Silvestri, Fabio Valerio Massoli, Tribhuvanesh Orekondy +2

A promising way to mitigate the expensive process of obtaining a high-dimensional signal is to acquire a limited number of low-dimensional measurements and solve an under-determine…