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cs.LG2026

Sticky Jump Diffusions: A Unifying View of Masked, Continuous, and Hybrid Diffusion

Pascal Jutras-Dubé, Patrick Pynadath, Jeremy Lu +2

We introduce Sticky Jump Diffusions (SJDs), continuous-time Markov processes on whose discrete anchors are token embeddings. In forward time, anchors release their ma…

cs.LG2026

CANDI: Hybrid Discrete-Continuous Diffusion Models

Patrick Pynadath, Jiaxin Shi, Ruqi Zhang

While continuous diffusion has shown remarkable success in continuous domains such as image generation, its direct application to discrete data has underperformed pure discrete for…

cs.LG2026

Generative Frontiers: Why Evaluation Matters for Diffusion Language Models

Patrick Pynadath, Jiaxin Shi, Ruqi Zhang

Diffusion language models have seen exciting recent progress, offering far more flexibility in generative trajectories than autoregressive models. This flexibility has motivated a…

cs.LG2026

Why Any-Order Autoregressive Models Need Two-Stream Attention: A Structural-Semantic Tradeoff

Patrick Pynadath, Ruqi Zhang

Any-order autoregressive models (AO-ARMs) offer a promising path toward efficient masked diffusion by enabling native key-value caching, but competitive performance has so far requ…

cs.LG2025

Single-Step Consistent Diffusion Samplers

Pascal Jutras-Dubé, Patrick Pynadath, Ruqi Zhang

Sampling from unnormalized target distributions is a fundamental yet challenging task in machine learning and statistics. Existing sampling algorithms typically require many iterat…

cs.LG2024

Gradient-based Discrete Sampling with Automatic Cyclical Scheduling

Patrick Pynadath, Riddhiman Bhattacharya, Arun Hariharan +1

Discrete distributions, particularly in high-dimensional deep models, are often highly multimodal due to inherent discontinuities. While gradient-based discrete sampling has proven…