LGCVSep 9, 2025

InJecteD: Analyzing Trajectories and Drift Dynamics in Denoising Diffusion Probabilistic Models for 2D Point Cloud Generation

arXiv:2509.12239v1h-index: 18
Originality Synthesis-oriented
AI Analysis

This work enhances transparency for practitioners debugging and refining generative models, though it is incremental as it applies existing analysis methods to a specific domain.

The authors tackled the problem of interpreting Denoising Diffusion Probabilistic Models (DDPMs) for 2D point cloud generation by introducing InJecteD, a framework that analyzes sample trajectories during denoising, revealing distinct phases like rapid shape formation and dataset-specific behaviors such as concentric convergence for bullseyes.

This work introduces InJecteD, a framework for interpreting Denoising Diffusion Probabilistic Models (DDPMs) by analyzing sample trajectories during the denoising process of 2D point cloud generation. We apply this framework to three datasets from the Datasaurus Dozen bullseye, dino, and circle using a simplified DDPM architecture with customizable input and time embeddings. Our approach quantifies trajectory properties, including displacement, velocity, clustering, and drift field dynamics, using statistical metrics such as Wasserstein distance and cosine similarity. By enhancing model transparency, InJecteD supports human AI collaboration by enabling practitioners to debug and refine generative models. Experiments reveal distinct denoising phases: initial noise exploration, rapid shape formation, and final refinement, with dataset-specific behaviors example, bullseyes concentric convergence vs. dinos complex contour formation. We evaluate four model configurations, varying embeddings and noise schedules, demonstrating that Fourier based embeddings improve trajectory stability and reconstruction quality

Foundations

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