arXiv Machine Learning
Jun 25
Conformal Orbit-Valid Trust Horizons for Equivariant World Models
arXiv:2606. 24946v1 Announce Type: new Abstract: Learned world models are useful only over horizons on which their rollout error remains controlled.
Certified World Models: Predictability Across Configuration, Horizon, and Resolution
arXiv:2606. 13092v3 Announce Type: replace Abstract: Scale buys interpolation; structure buys certifiable transfer.
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arXiv Machine Learning
Jun 25
When Do Conservation Laws Survive Learned Representations? Certified Horizons for Latent World Models
arXiv:2606. 24945v1 Announce Type: new Abstract: We ask a representation-learning question about physical world models: when does a conservation law remain certifiable after a model learns a latent representation?
arXiv AI
Jun 3
Exact equivariance, kept through training, buys zero-shot generalisation across the symmetry group
arXiv:2606. 03003v1 Announce Type: cross Abstract: A latent world model built from an equivariant encoder $E$ and an equivariant predictor $f$ inherits a provable symmetry of its training loss: when the world's dynamics genuinely carries a group $G$ acting on latents by an orthogonal representation $\rho(g)$, the one-step prediction relMSE is exactly invariant across the whole group, so fitting the dynamics on a restricted slice of orientations mathematically determines it on the entire orbit (j\v{u} y\=i f\v{a}n s\=an).
arXiv Machine Learning
1d ago
Stable and Counterfactually Robust Physical World Models from Imposed Structure and Learned Physics
The paper introduces a world model that learns to predict the evolution of physical systems while respecting key physical principles. By hard‑coding a general structure—generating dynamics from the gradient of a learned energy via a fixed reversible operator and imposing constraints on energy, dissipation, and interventions—the model achieves second‑law compatible dissipation, accurate responses to parameter changes, long‑term stability, and robustness to disturbances. Experiments on an electromagnetic cavity, a particle‑in‑cell grid, and shallow‑water fluid demonstrate that the model can recover accurate constitutive functions, distinguish conserving from dissipating regimes, and transfer learned physics to unseen conditions, outperforming unconstrained models.
arXiv Machine Learning
Aug 12
Intrinsic Structure: Spectral Identifiability for Mechanistic Interpretability
arXiv:2608. 10172v1 Announce Type: new Abstract: Mechanistic interpretability explains models by identifying circuits inside them, but has no way to tell whether a circuit is a property of the model or an artifact of the method that found it.
arXiv Machine Learning
Jul 14
A Control Theory of Predictability in Latent World Models
arXiv:2607. 10362v1 Announce Type: new Abstract: Latent world models are trained to predict future states in a learned representation and are then deployed inside a planner that selects actions by simulating them forward.
arXiv Machine Learning
Jul 7
Identifiability Without Gaussianity: Symbolic World Models and Near-Infinite Temporal Consistency
arXiv:2606. 12471v2 Announce Type: replace-cross Abstract: Klindt, LeCun, and Balestriero (arXiv:2605.
arXiv Machine Learning
Jul 3
Certified World Models as Sensing Clocks: Drift-Aware Deadlines for Active Perception
arXiv:2607. 01537v1 Announce Type: new Abstract: Certified world models estimate how long their predictions remain valid.
arXiv Machine Learning
Jul 7
Asymptotic-Preserving A Posteriori Analysis of Diffusion and Flow-Matching Samplers
arXiv:2607. 04113v1 Announce Type: new Abstract: Diffusion and flow-matching samplers integrate a learned probability-flow ODE from a large noise scale down to a small terminal floor $\sigma_{\min}$, at which the score is stiff and the flow develops a boundary layer.
arXiv Machine Learning
Jul 27
Multi-Horizon Consistency as Geometry: When Latent Dynamics Contract, and When They Do Not
arXiv:2607. 21645v1 Announce Type: new Abstract: Multi-horizon latent consistency is a common training knob in video predictors and world models, but practitioners rarely know what it does to transition geometry.
arXiv Machine Learning
Aug 31
An Enclosed Mode Is a Gauge Choice: Topology Relative to Reach in Certified Code World Models
The paper studies how a code‑world model can be perfectly accurate on the portion of the state space that a sampling gate can observe while potentially being arbitrarily wrong elsewhere. By treating the unobservable interior as an annular freeze mode, the authors formalize the notion of reach and show that acceptance with certainty fixes the model only on the reachable query set, leaving the rest as a gauge. Experiments on a minimal ring instrument demonstrate that a single channel width parameter can move the model through regimes of being unfalsifiable and harmless, falsifiable and costly, or instantly falsified, illustrating how topology relative to reach governs danger, repair, and mitigation strategies.
arXiv Machine Learning
Sep 18
Conservation Buys Stability and Factoring Buys Counterfactuals in Physical World Models
The paper demonstrates that learned simulators can fail in two distinct ways when conditions change: long‑horizon drift due to accumulated errors and incorrect responses to interventions on physical parameters. By adding a symplectic integrator to preserve conservative dynamics, rollouts remain stable for up to 100× the training horizon, while encoding physical coupling via explicit linear factorization allows the model to generalize to unseen signs of that coupling. The study shows that stability and counterfactual generalization arise from separate structural choices, enabling designers to impose each property independently.