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20012026
most citedSmooth stable and unstable manifolds for stochastic partial differential equations

121 citations

9 papers

cs.AI2026

From Large Language Model Predicates to Logic Tensor Networks: Neurosymbolic Offer Validation in Regulated Procurement

Cedric Haufe, Frieder Stolzenburg

We present a neurosymbolic approach, i.e. combine symbolic and subsymbolic artificial intelligence, to validating offer documents in regulated public institutions. We employ a lang…

math.ST2025★ 14 cited

Nonparametric estimation of the multivariate Spearman's footrule: a further discussion

Ana Pérez, Mercedes Prieto-Alaiz, Fernando Chamizo +2

In this paper, we propose two new estimators of the multivariate rank correlation coefficient Spearman's footrule which are based on two general estimators for Average Orthant Depe…

math-ph2023★ 5 cited

Quantum energy inequalities in integrable models with several particle species and bound states

Henning Bostelmann, Daniela Cadamuro, Jan Mandrysch

We investigate lower bounds to the time-smeared energy density, so-called quantum energy inequalities (QEI), in the class of integrable models of quantum field theory. Our main res…

q-bio.PE2021★ 1 cited

Phylogenetic consensus networks: Computing a consensus of 1-nested phylogenetic networks

Katharina T. Huber, Vincent Moulton, Andreas Spillner

An important and well-studied problem in phylogenetics is to compute a \emph{consensus tree} so as to summarize the common features within a collection of rooted phylogenetic trees…

q-bio.PE2017

UPGMA and the normalized equidistant minimum evolution problem

Vincent Moulton, Andreas Spillner, Taoyang Wu

UPGMA (Unweighted Pair Group Method with Arithmetic Mean) is a widely used clustering method. Here we show that UPGMA is a greedy heuristic for the normalized equidistant minimum e…

math.CV2014

The regularity of projection operators and solution operators to on weakly pseudoconvex domains

Dariush Ehsani

We relate the existence and regularity of a solution operator to on smoothly bounded pseudoconvex domains to the existence and regularity of a projection operator onto the kernel o…

stat.ML2012

Fast nonparametric classification based on data depth

Tatjana Lange, Karl Mosler, Pavlo Mozharovskyi

A new procedure, called DDa-procedure, is developed to solve the problem of classifying d-dimensional objects into q >= 2 classes. The procedure is completely nonparametric; it use…

math.DS2004★ 121 cited

Smooth stable and unstable manifolds for stochastic partial differential equations

Jinqiao Duan, Kening Lu, Bjorn Schmalfuss

Invariant manifolds are fundamental tools for describing and understanding nonlinear dynamics. In this paper, we present a theory of stable and unstable manifolds for infinite dime…

math.AP2001

Probabilistic Dynamics of Two-Layer Geophysical Flows

Igor Chueshov, Jinqiao Duan, Bjorn Schmalfuss

The two-layer quasigeostrophic flow model is an intermidiate system between the single-layer 2D barotropic flow model and the continuously stratified, 3D baroclinic flow model. Thi…