Tag: continuous
-
How to Tame Your LLM: Semantic Collapse in Continuous Systems
How to Tame Your LLM: Semantic Collapse in Continuous Systems arXiv:2512.05162v1 Announce Type: new Abstract: We develop a general theory of semantic dynamics for large language models by formalizing them as Continuous State Machines (CSMs): smooth dynamical systems whose latent manifolds evolve under probabilistic transition operators. The associated transfer operator $P: L^2(M,mu) to L^2(M,mu)$ encodes…
-
Continuous Domain Generalization
Continuous Domain Generalization arXiv:2505.13519v1 Announce Type: new Abstract: Real-world data distributions often shift continuously across multiple latent factors such as time, geography, and socioeconomic context. However, existing domain generalization approaches typically treat domains as discrete or evolving along a single axis (e.g., time), which fails to capture the complex, multi-dimensional nature of real-world variation. This…
-
Distributionally Robust Optimization via Iterative Algorithms in Continuous Probability Spaces
Distributionally Robust Optimization via Iterative Algorithms in Continuous Probability Spaces arXiv:2412.20556v1 Announce Type: new Abstract: We consider a minimax problem motivated by distributionally robust optimization (DRO) when the worst-case distribution is continuous, leading to significant computational challenges due to the infinite-dimensional nature of the optimization problem. Recent research has explored learning the worst-case distribution using…