Greedy vector balancing on finite unit-vector sets T in R^d achieves norm bound (2/δ_T)^{d-1} independent of sequence length n.
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2026 10representative citing papers
Uniform popularity vector uniquely minimizes LRU hit rate H_C(p) on the interior simplex, with strict radial increase proven via explicit positive pair-square formula for the derivative.
Polyconvexity implies true-stress-true-strain monotonicity in incompressible isotropic hyperelasticity, which is enforced in four PANN architectures that show varying extrapolation behavior on experimental data.
An LLM agent autonomously identifies and experimentally validates a previously unreported optical bilinear interaction on a physical platform.
FQNM realizes the conservative operator as an antisymmetric integer transfer rule, proving exact conservation, monotonicity, TVD, L1 stability and convergence to the entropy solution for scalar laws with monotone flux splitting while collapsing distinct flux formulations to identical dynamics.
Ky Fan majorization holds for the sum of two n-fold tensor products of PSD operators, but fails for three or more such summands when n≥3.
For 1<p<∞, ||D||_{ℓ^p→ℓ^p}=1 if and only if Θ(D^*D)=1, where Θ is the maximal average mass of any finite square submatrix.
Introduces negation and majorization for hyperbolic-valued probability distributions, proving entropy increase and uniformization under iteration for a class of generated negators.
Convex reformulation and polynomial-time algorithm for spectral design problems that update a prior information matrix by rank-one updates under Euclidean-norm bounds on the design vectors.
Proves reverse Poincaré inequality on global attractor of 2D reaction-diffusion system to obtain near-parametric statistical recovery of initial conditions from discrete observations.
citing papers explorer
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Greedy Vector Balancing
Greedy vector balancing on finite unit-vector sets T in R^d achieves norm bound (2/δ_T)^{d-1} independent of sequence length n.
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Radial Extremality for LRU Caching and the Fill--Holst Conjecture
Uniform popularity vector uniquely minimizes LRU hit rate H_C(p) on the interior simplex, with strict radial increase proven via explicit positive pair-square formula for the derivative.
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Concurrent enforcement of polyconvexity and true-stress-true-strain monotonicity in incompressible isotropic hyperelasticity: application to neural network constitutive models
Polyconvexity implies true-stress-true-strain monotonicity in incompressible isotropic hyperelasticity, which is enforced in four PANN architectures that show varying extrapolation behavior on experimental data.
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End-to-end autonomous scientific discovery on a real optical platform
An LLM agent autonomously identifies and experimentally validates a previously unreported optical bilinear interaction on a physical platform.
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Continuum dynamics from quantised interaction rules
FQNM realizes the conservative operator as an antisymmetric integer transfer rule, proving exact conservation, monotonicity, TVD, L1 stability and convergence to the entropy solution for scalar laws with monotone flux splitting while collapsing distinct flux formulations to identical dynamics.
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A majorization relation for a sum of two tensor products of positive semidefinite operators
Ky Fan majorization holds for the sum of two n-fold tensor products of PSD operators, but fails for three or more such summands when n≥3.
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Norm of infinite doubly stochastic matrices
For 1<p<∞, ||D||_{ℓ^p→ℓ^p}=1 if and only if Θ(D^*D)=1, where Θ is the maximal average mass of any finite square submatrix.
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On the Negation of a Hyperbolic-Valued Probability Distribution
Introduces negation and majorization for hyperbolic-valued probability distributions, proving entropy increase and uniformization under iteration for a class of generated negators.
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Optimal Spectral Design with Prior Information
Convex reformulation and polynomial-time algorithm for spectral design problems that update a prior information matrix by rank-one updates under Euclidean-norm bounds on the design vectors.
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On statistical inference for non-linear dynamical systems evolving in their global attractor
Proves reverse Poincaré inequality on global attractor of 2D reaction-diffusion system to obtain near-parametric statistical recovery of initial conditions from discrete observations.