5211 papers
This paper proposes two novel unequal error protection frameworks for digital semantic communication that leverage learned bit-flip probabilities to assign heterogeneous reliability levels, demonstrating that partitioning semantic bits into short blocks with tailored channel codes significantly outperforms conventional equal-protection schemes in both task performance and transmission efficiency.
This paper classifies three-dimensional associative algebras over arbitrary base fields of characteristic different from two and three by providing canonical representatives for their isomorphism classes and comparing these results with existing classifications over complex numbers and for the nilpotent case.
This paper introduces "Hodge atoms," new birational invariants constructed by combining rational Gromov-Witten invariants with Hodge theory via F-bundles, which are used to prove the irrationality of very general cubic fourfolds, reprove the equality of Hodge numbers for birational Calabi-Yau manifolds, and provide new obstructions to rationality over non-algebraically closed fields.
This paper introduces deep kernel greedy models that combine the computational efficiency and provable convergence of greedy sparse approximation with the enhanced expressiveness of deep, multilayer kernels, demonstrating superior approximation accuracy over standard kernels and neural networks across various scientific applications.
This empirical study validates the Social Sphere Model's effectiveness in predicting latent influencers within the arXiv General Relativity and Quantum Cosmology collaboration network, demonstrating that the model performs best with denser initial data and the newly introduced RA-2 similarity metric.
This paper establishes that the compactness of a finite relational structure is provable within Zermelo-Fraenkel set theory if the structure has width one, but implies the existence of non-measurable sets in three-dimensional space otherwise.
This paper proposes a sequential "Clusters-of-Centres" algorithm that utilizes multivariate Cochran-type tests on summary statistics to identify and merge homogeneous groups in multi-centre studies, establishing asymptotic distributions and proving that a multi-round bootstrap variant can recover the true centre partition with high probability.
This paper proves that the discrete Dirichlet-to-Neumann operator uniquely determines edge conductivities on multi-dimensional hypercubic lattices (dimension three or higher) by employing a novel slicing technique, thereby extending the classical two-dimensional uniqueness result of Curtis and Morrow.
This paper establishes the -completeness and undecidability of satisfiability for single cubic Diophantine equations over natural numbers by constructing a uniform primitive recursive compiler that translates arithmetic provability into cubic constraints, ultimately yielding a single explicit universal cubic polynomial verified via mechanization in Rocq.
This paper proposes a data-driven framework using time-varying queueing models to improve long-term ICU capacity planning by capturing fluctuating admission rates and heterogeneous length-of-stay distributions, demonstrating that static heuristics like the 85% occupancy rule are inadequate for managing real-world demand variability in neonatal intensive care units.
This paper establishes the existence of traveling wave solutions, including non-monotone waves and front-pulse waves, for the two-species weak competition Lotka-Volterra system across all wave speeds , with a rigorous proof for the critical speed case and the first-time demonstration of front-pulse waves in the critical weak competition regime.
This paper characterizes split extensions with strong section in the variety of hoops and its key subvarieties using strong external actions, establishing a connection to W. Rump's semidirect product construction in L-algebras and illustrating the theory through the double negation example in BL-algebras.
This paper defines a compactification of the parameter space for the quantum multiplication of hypertoric varieties, following deConcini and Gaiffi, and demonstrates how to extend this multiplication to the compactified space.
This paper proposes a memory-efficient multistep approach for computing Floquet multipliers and subspaces that converts the problem into a periodic polynomial eigenvalue problem, proving that parasitic eigenvalues vanish geometrically as stepsize decreases while demonstrating the efficiency of the new pTOAR algorithm for large-scale systems.
This paper introduces an intrinsic deformation of smooth function algebras on compact Riemannian manifolds via spectral channel twisting, establishes conditions for its extension to Sobolev algebras and associativity, and demonstrates that classical strict deformations arising from abelian group actions are unified as specific instances of this framework.
This paper establishes the Mosco-convergence of Cheeger energies on Gromov-Hausdorff converging spaces satisfying curvature-dimension conditions by employing a Lagrangian approach that combines Wasserstein geodesic stability with nonsmooth calculus duality, thereby ensuring the continuity of Neumann eigenvalues even in infinite-dimensional settings.
This paper extends the probabilistic construction of Kähler-Einstein metrics to Fano manifolds with non-discrete automorphism groups by introducing Gibbs polystability and symmetry-breaking via moment map constraints, conjecturing its equivalence to metric existence and the emergence of unique metrics in the large-N limit, while proving these results for log Fano curves and deriving a strengthened logarithmic Hardy-Littlewood-Sobolev inequality with optimal stability constants.
This paper introduces block-separated overpartitions, a constrained family where no two consecutive distinct part-blocks are both overlined, and demonstrates that their enumeration is governed by Fibonacci-type combinatorics, leading to a rich algebraic structure including Euler products and recurrence relations, while sharing the same exponential growth rate as ordinary partitions.
This paper characterizes the transition of first arrival position channel noise from heavy-tailed Cauchy to exponentially decaying distributions under nonzero drift, identifying a characteristic propagation distance that delineates diffusion-dominated and drift-dominated regimes while demonstrating that Gaussian approximations fail to capture communication potential in low-drift environments.
This paper establishes that limits of sequences of smooth maps between compact Riemannian manifolds with equi-integrable -Sobolev energy can always be strongly approximated by smooth maps, thereby extending Hang's density result to integer and providing proofs for higher-order and fractional Sobolev spaces as well as cases governed by the Bethuel-Demengel-Colon-Hélein cohomological criterion.