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Unsupervised Continual Learning for Amortized Bayesian Inference

arXiv:2602.22884v1 Announce Type: cross Abstract: Amortized Bayesian Inference (ABI) enables efficient posterior estimation using generative neural networks trained on simulated data, but often suffers from performance degradation under model misspecification. While self-consistency (SC) training on unlabeled empirical data can enhance…

Manifold of Failure: Behavioral Attraction Basins in Language Models

arXiv:2602.22291v1 Announce Type: new Abstract: While prior work has focused on projecting adversarial examples back onto the manifold of natural data to restore safety, we argue that a comprehensive understanding of AI safety requires characterizing the unsafe regions themselves. This…

Regular Fourier Features for Nonstationary Gaussian Processes

arXiv:2602.23006v1 Announce Type: cross Abstract: Simulating a Gaussian process requires sampling from a high-dimensional Gaussian distribution, which scales cubically with the number of sample locations. Spectral methods address this challenge by exploiting the Fourier representation, treating the spectral density as…

Global River Forecasting with a Topology-Informed AI Foundation Model

arXiv:2602.22293v1 Announce Type: new Abstract: River systems operate as inherently interconnected continuous networks, meaning river hydrodynamic simulation ought to be a systemic process. However, widespread hydrology data scarcity often restricts data-driven forecasting to isolated predictions. To achieve systemic simulation and…

The Spacetime of Diffusion Models: An Information Geometry Perspective

arXiv:2505.17517v4 Announce Type: replace Abstract: We present a novel geometric perspective on the latent space of diffusion models. We first show that the standard pullback approach, utilizing the deterministic probability flow ODE decoder, is fundamentally flawed. It provably forces geodesics…

Simplex-to-Euclidean Bijections for Categorical Flow Matching

arXiv:2510.27480v2 Announce Type: replace Abstract: We propose a method for learning and sampling from probability distributions supported on the simplex. Our approach maps the open simplex to Euclidean space via smooth bijections, leveraging the Aitchison geometry to define the mappings,…