mlsanityData to 14 Oct 2026

World Modeling with Probabilistic Structure Integration

arXiv 2509.09737 ↗First posted 10 Sep 2025cs.CV cs.AI cs.LGcited by 7

On the map: World models → Latent predictive world models

Abstract (arXiv)

We present Probabilistic Structure Integration (PSI), a system for learning richly controllable and flexibly promptable world models from data. PSI consists of a three-step cycle. The first step, Probabilistic prediction, involves building a probabilistic graphical model Psi of the data, in the form of a random-access autoregressive sequence model. Psi supports a complete set of learned conditional distributions describing the dependence of any variables in the data on any other set of variables. In step 2, Structure extraction, we show how to extract underlying low-dimensional properties in the data, corresponding to a diverse set of meaningful "intermediate structures", in a zero-shot fashion via causal inference on Psi. Step 3, Integration, completes the cycle by converting these structures into new token types that are then continually mixed back into the training diet as conditioning signals and prediction targets. Each such cycle augments the capabilities of Psi, both allowing it to model the underlying data better, and creating new control handles -- akin to an LLM-like universal prompting language. We train an instance of Psi on 1.4 trillion tokens of internet video data; we use it to perform a variety of useful video prediction and understanding inferences; we extract state-of-the-art optical flow, self-supervised depth and object segmentation; and we use these structures to support a full cycle of predictive improvements.

Key facts. Cited by 7 papers in the map (data through 14 Oct 2026). Placed in Latent predictive world models, one of 11 directions in World models. Builds on 52 of its 90 references that are in the map. First posted on arXiv 10 Sep 2025.

Builds on

52 of 90 references.

Closest ancestors · 3

Same direction, newest first

  1. 2023Unifying (Machine) Vision via Counterfactual World Modeling2 Jun
  2. 2022Deep Hierarchical Planning from Pixels8 Jun
  3. 2018Learning Latent Dynamics for Planning from Pixels12 Nov

Other references · 49

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37 more
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Built on by

Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 2; 2026: 5.

7 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2024Learning World Models With Hierarchical Temporal Abstractions: A Probabilistic Perspective
  2. 2022Language Model Cascades
  3. 2026PAWBench: How Far Are We from Probabilistically Aligned World Modeling?
  4. 2025Bayesian Network Structure Discovery Using Large Language Models
  5. 2026Pythia: Toward Foundation World Models for Multimodal Time Series
  6. 2025Natural Building Blocks for Structured World Models: Theory, Evidence, and Scaling
  7. 2025Combining Local Symmetry Exploitation and Reinforcement Learning for Optimised Probabilistic Inference -- A Work In Progress
  8. 2026Graphical conditional generative modeling for digital twin modeling