7189 papers
This paper proposes a computationally efficient, robust adaptive nonlinear model predictive control algorithm that utilizes ellipsoidal tubes to guarantee constraint satisfaction and stability for learning-based systems with unknown parameters and set-bounded disturbances.
Inspired by the work of Enriquez and Furusho, this paper provides a stabilizer interpretation for both the linearized double shuffle Lie algebra and its extension accommodating multiple q-zeta values and multiple Eisenstein series, demonstrating that these stabilizers preserve the extension between the two algebras.
This paper demonstrates that the Bloch and Landau constants for meromorphic functions with a simple pole in the unit disk are infinite, thereby refuting a recent conjecture and extending this result to functions with two simple poles.
This paper demonstrates that a suitable multiplicative Stratonovich noise perturbation can restore well-posedness to the Cauchy problem of a weakly hyperbolic operator with double involutive characteristics, whereas its deterministic counterpart is restricted to well-posedness only within Gevrey classes .
This paper surveys systematic approaches to basis-restricted fragments of propositional and modal logics, leveraging Post's lattice and generalized frameworks to analyze how expressive power and computational complexity depend on allowed operators, while also extending results on learnability and identifying open problems.
This paper provides a precise asymptotic analysis of multi-task learning in misspecified perceptron models, demonstrating that combining related tasks is equivalent to adding implicit regularization that improves generalization and mitigates the double descent phenomenon.
The paper demonstrates that the 2-component unlink in the 4-sphere admits infinitely many distinct isotopy classes of spanning 3-disks that are Brunnian.
This paper establishes the boundary stabilization of flows in star-shaped and tree-shaped open channel networks governed by Saint-Venant equations with friction by constructing a novel explicit Lyapunov function that enables optimal control using only terminal node actuators, even in the absence of internal controls.
This paper establishes quantitative error estimates linking microscopic fluctuations in interacting particle systems and regularized stochastic PDEs to their macroscopic mobilities, while also characterizing the asymptotic behavior of fluctuation structures in irregular Dean-Kawasaki type equations through renormalized kinetic solutions.
This paper establishes the dispersive estimate with a decay rate of for the one-dimensional Schrödinger equation perturbed by a short-range array of delta potentials, provided the coupling constants decay sufficiently and no zero-energy resonance exists.
This paper initiates the study of minimally tough graphs within the class of weakly chordal graphs by providing complete classifications for several specific subclasses and offering simplified proofs for existing results.
This paper proves that split reductive Bruhat-Tits group schemes over higher-dimensional bases are affine and introduces a new, more general construction of such schemes by extending J.-K. Yu's method and utilizing Néron-Raynaud dilatations alongside established techniques.
This paper addresses a strong NP-hard bilevel optimistic scheduling problem on uniform parallel machines, where a leader minimizes weighted tardy jobs and a follower minimizes total completion time, by establishing its complexity via reduction from Numerical 3-Dimensional Matching and proposing exact solution methods including a dynamic programming algorithm, a MIP formulation, and a branch-and-bound approach with column generation that effectively solve instances up to 80 jobs and 4 machines.
This paper proposes a robust parametric framework based on the minimum density power divergence estimator (MDPDE) that achieves asymptotically consistent jump detection in high-frequency CIR and CKLS models by exploiting the scale separation between diffusion and jump increments to establish a Gumbel-distributed detection threshold.
This paper claims to provide an unconditional proof of the Riemann Hypothesis by employing recursive Taylor expansions to analytically continue the zeta function and deriving a contradiction from the assumption of off-critical-line zeros.
This paper introduces the constructive master-modality logics and , proving their EXPTIME-completeness and exponential-size finite model property via translations to , while resolving a conjecture regarding their diamond-free fragment and demonstrating the EXPTIME membership of and through embeddings.
This paper derives explicit formulas for the Iwasawa invariants of cyclotomic -extensions of multi-quadratic number fields using Hasse units and ramification analysis, and subsequently applies these results to establish criteria for determining the parity of their class numbers under Greenberg's conjecture.
This paper introduces the family of -affine dual curvature measures for convex bodies, establishes their connections to classical measures as limiting cases, and investigates the associated Minkowski problems by providing existence and necessary conditions for solutions, particularly in the even and smooth cases.
This paper establishes novel and strictly sharper Berry-Esseen bounds for the second moment estimator of asymptotically stationary Gaussian processes observed at high frequency, specifically deriving convergence rates in total variation, Kolmogorov, and Wasserstein distances for the drift parameters of Gaussian Ornstein-Uhlenbeck processes.
This paper establishes a necessary condition for -invariant kernels on Cartan domains to possess the complete Nevanlinna-Pick property by generalizing Kaluza's Lemma and characterizing such kernels through the existence of characteristic functions associated with -contractions.