Results 21 to 30 of about 45 (42)
Concentration and Model Selection Consistency of the Group Lasso for α$$ \alpha $$‐Mixing Errors
Stat, Volume 14, Issue 1, March 2025.ABSTRACT The group lasso in linear regression models is studied for α$$ \alpha $$‐mixing subexponential errors. Nonasymptotic guarantees are provided for the estimation error of the sparse coefficient vector and the associated predictions for the high‐dimensional regime where the number of regressors can grow much faster than the sample size.
Robin Martens, Ansgar Steland
wiley +1 more source
Central limit theorem in disordered Monomer‐Dimer model
Random Structures &Algorithms, Volume 66, Issue 1, January 2025.Abstract We consider the disordered monomer‐dimer model on general finite graphs with bounded degrees. Under the finite fourth moment assumption on the weight distributions, we prove a Gaussian central limit theorem for the free energy of the associated Gibbs measure with a rate of convergence. The central limit theorem continues to hold under a nearly
Wai‐Kit Lam, Arnab Sen
wiley +1 more source
Typical Structure of Hereditary Graph Families. I. Apex‐free Families
Random Structures &Algorithms, Volume 66, Issue 1, January 2025.ABSTRACT A family of graphs ℱ$$ \mathcal{F} $$ is hereditary if ℱ$$ \mathcal{F} $$ is closed under isomorphism and taking induced subgraphs. The speed of ℱ$$ \mathcal{F} $$ is the sequence {|ℱn|}n∈ℕ$$ {\left\{|{\mathcal{F}}^n|\right\}}_{n\in \mathbb{N}} $$, where ℱn$$ {\mathcal{F}}^n $$ denotes the set of graphs in ℱ$$ \mathcal{F} $$ with the vertex ...
Sergey Norin, Yelena Yuditsky
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IET Information Security, Volume 2025, Issue 1, 2025.The current multikey fully homomorphic encryption (MKFHE) needs to add exponential noise in the distributed decryption phase to ensure the simulatability of partial decryption. Such a large noise causes the ciphertext modulus of the scheme to increase exponentially compared to the single‐key fully homomorphic encryption (FHE), further reducing the ...
Xiaokang Dai +3 more
wiley +1 more source
Asymptotic dimension for covers with controlled growth
Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.Abstract We prove various obstructions to the existence of regular maps (or coarse embeddings) between commonly studied spaces. For instance, there is no regular map (or coarse embedding) Hn→Hn−1×Y$\mathbb {H}^n\rightarrow \mathbb {H}^{n-1}\times Y$ for n⩾3$n\geqslant 3$, or (T3)n→(T3)n−1×Y$(T_3)^n \rightarrow (T_3)^{n-1}\times Y$ whenever Y$Y$ is a ...
David Hume +2 more
wiley +1 more source
Optimising Control Device Luring Strategies for Invasive Predator Control: A Modelling Approach
Ecology and Evolution, Volume 14, Issue 12, December 2024.Invasive predators pose a threat to native biodiversity, and their management is hindered by trap‐shyness. Using Bayesian estimation, researchers quantified trap‐shyness in wild brushtail possums, finding a large number of trap‐shy individuals with a low probability of trap interaction.
Giorgia Vattiato +5 more
wiley +1 more source
Boundary Strichartz estimates and pointwise convergence for orthonormal systems
Transactions of the London Mathematical Society, Volume 11, Issue 1, December 2024.Abstract We consider maximal estimates associated with fermionic systems. Firstly, we establish maximal estimates with respect to the spatial variable. These estimates are certain boundary cases of the many‐body Strichartz estimates pioneered by Frank, Lewin, Lieb and Seiringer.
Neal Bez +2 more
wiley +1 more source
Advanced Optical Materials, Volume 12, Issue 27, September 23, 2024.CsPbBr3 perovskite nanocrystal thin films display a distinctive Amplified Spontaneous Emission (ASE) behavior, where an anomalously shifted ASE band coexists with an excessive fluorescence background. This work shows that this behavior stems from four processes: reabsorption due to ground and excited state absorption, excitation of differently ...
Stefania Milanese +4 more
wiley +1 more source
Amenability of bounded automata groups on infinite alphabets
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2460-2471, July 2024.Abstract We study the action of groups generated by bounded activity automata with infinite alphabets on their orbital Schreier graphs. We introduce an amenability criterion for such groups based on the recurrence of the first‐level action. This criterion is a natural extension of the result that all groups generated by bounded activity automata with ...
Bernhard Reinke
wiley +1 more source
Rational cross‐sections, bounded generation, and orders on groups
Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.Abstract We provide new examples of groups without rational cross‐sections (also called regular normal forms), using connections with bounded generation and rational orders on groups. Our examples contain a finitely presented HNN‐extension of the first Grigorchuk group. This last group is the first example of finitely presented group with solvable word
Corentin Bodart
wiley +1 more source