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stat.ML2025

Iterative Tilting for Diffusion Fine-Tuning

Jean Pachebat, Giovanni Conforti, Alain Durmus +1

We introduce iterative tilting, a gradient-free method for fine-tuning diffusion models toward reward-tilted distributions. The method decomposes a large reward tilt int…

cs.LG2025

Non-Asymptotic Convergence of Discrete Diffusion Models: Masked and Random Walk dynamics

Giovanni Conforti, Alain Durmus, Le-Tuyet-Nhi Pham +1

Diffusion models for continuous state spaces based on Gaussian noising processes are now relatively well understood from both practical and theoretical perspectives. In contrast, r…

stat.ML2025

Exponential Convergence Guarantees for Iterative Markovian Fitting

Marta Gentiloni Silveri, Giovanni Conforti, Alain Durmus

The Schrödinger Bridge (SB) problem has become a fundamental tool in computational optimal transport and generative modeling. To address this problem, ideal methods such as Iterati…

cs.LG2025

Latent-Augmented Discrete Diffusion Models

Dario Shariatian, Alain Durmus, Umut Simsekli +1

Discrete diffusion models have emerged as a powerful class of models and a promising route to fast language generation, but practical implementations typically rely on factored rev…

stat.ML2025

Bit-Level Discrete Diffusion with Markov Probabilistic Models: An Improved Framework with Sharp Convergence Bounds under Minimal Assumptions

Le-Tuyet-Nhi Pham, Dario Shariatian, Antonio Ocello +2

This paper introduces Discrete Markov Probabilistic Models (DMPMs), a novel discrete diffusion algorithm for discrete data generation. The algorithm operates in discrete bit space,…