ResearchResearch paperRobotics & Embodied AI · Reasoning & Planning · Computer Vision1 source · Oct 7, 2026

Relational Abstractions for Spatial Reasoning with Diffusion Models

To address this limitation, we present a novel framework for spatial reasoning with diffusion models that leverages unsupervised object discovery and abstractions of object relations.

Key points

  • Diffusion models excel at image synthesis, but they remain limited in their ability to reliably satisfy structured spatial reasoning constraints.
  • In conditional data distribution modeling tasks with implicit logical structure, such as puzzles defined by visible clues paired with consistent solutions, state-of-the-art generative models tend to approximate pixel-space distributions without learning the underlying logical rules required for inference.
  • We show that the relational knowledge derived from object-centric representations enriches diffusion models with structural primitives, allowing them to effectively guide the generative representation space during both training and inference, and enabling conditional image generation that satisfies reasoning constraints.
  • Additionally, we introduce a large-scale generative spatial reasoning benchmark with four datasets inspired by human-solvable puzzles.

Sources (1)

  • [1]Relational Abstractions for Spatial Reasoning with Diffusion Models
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 7, 10:00 AM
    To address this limitation, we present a novel framework for spatial reasoning with diffusion models that leverages unsupervised object discovery and abstractions of object relations.
    Diffusion models excel at image synthesis, but they remain limited in their ability to reliably satisfy structured spatial reasoning constraints.

Extractive summary: sentences quoted from the sources.

Before this

  1. Oct 7, 2026Iris-3B: Going Beyond the Latent with Pixel-Space Diffusion Training, Conversion and Fine-Tuning
  2. Oct 6, 2026Learning Transition Kernels of Jump-Diffusion Processes with Conditional Diffusion Models
  3. Oct 6, 2026SNR-Gated LSTM-Conditioned Diffusion Model for MIMO Channel Estimation
  4. Oct 6, 2026Disentangling Dual Image References in Frequency Aware Diffusion Models for Personalized Generation
  5. Oct 6, 2026Uniform Discrete Diffusion Models are Minimax Optimal for Estimating Distributions with Small Effective Support Size
  6. Aug 10, 2026vllm-project/vllm v0.27.0

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