Results 41 to 50 of about 195 (118)
Discrepancy of arithmetic progressions in boxes and convex bodies
Abstract The combinatorial discrepancy of arithmetic progressions inside [N]:={1,…,N}$[N]:= \lbrace 1, \ldots, N\rbrace$ is the smallest integer D$D$ for which [N]$[N]$ can be colored with two colors so that any arithmetic progression in [N]$[N]$ contains at most D$D$ more elements from one color class than the other.
Lily Li, Aleksandar Nikolov
wiley +1 more source
On the Mean‐Field Limit of Consensus‐Based Methods
ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley +1 more source
Accelerating Conjugate Gradient Solvers for Homogenization Problems With Unitary Neural Operators
ABSTRACT Rapid and reliable solvers for parametric partial differential equations (PDEs) are needed in many scientific and engineering disciplines. For example, there is a growing demand for composites and architected materials with heterogeneous microstructures.
Julius Herb, Felix Fritzen
wiley +1 more source
Low‐Symmetry Weyl Semimetals: A Path to Ideal Topological States
This study presents a theoretical framework for realizing ideal Weyl semimetals, where Weyl nodes are well‐isolated at the Fermi level. The approach is exemplified in the low‐symmetry material Cu2SnSe3, which exhibits tunable topological phases, current‐induced orbital magnetization, and a strong circular photogalvanic effect, making it a promising ...
Darius‐Alexandru Deaconu +3 more
wiley +1 more source
Carrollian Reissner‐Nordström black holes are investigated through fermionic tunneling, entropy‐corrected thermodynamics, and plasma‐modified gravitational lensing. The generalized uncertainty principle introduces minimal‐length corrections to the Hawking temperature, while the combined Barrow‐Exponential entropy reveals smooth thermodynamic crossovers
Erdem Sucu, İzzet Sakallı, Yusuf Sucu
wiley +1 more source
Equivariant toric geometry and Euler–Maclaurin formulae
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
ABSTRACT Accurate mechanical characterization of civil engineering structures after construction remains challenging due to the unique complexities of each structure, including geometric configurations, imperfect design modeling assumptions, soil conditions, and pervasive uncertainties in actual operational environments. Leveraging actual measurements,
Xinhao He +7 more
wiley +1 more source
Simulating Quantum State Transfer Between Distributed Devices Using Noisy Interconnects
Noisy connections challenge future networked quantum computers. This work presents a practical method to address this by simulating an ideal state transfer over noisy interconnects. The approach reduces the high sampling cost of previous methods, an advantage that improves as interconnect quality gets better.
Marvin Bechtold +3 more
wiley +1 more source
Fail‐Controlled Classifiers: A Swiss‐Army Knife Toward Trustworthy Systems
ABSTRACT Background Modern critical systems often require to take decisions and classify data and scenarios autonomously without having detrimental effects on people, infrastructures or the environment, ensuring desired dependability attributes. Researchers typically strive to craft classifiers with perfect accuracy, which should be always correct and ...
Fahad Ahmed Khokhar +4 more
wiley +1 more source
The Climate Modeling Alliance Atmosphere Dynamical Core: Concepts, Numerics, and Scaling
Abstract This paper presents the dynamical core of the Climate Modeling Alliance (CliMA) atmosphere model, designed for efficient simulation of a wide range of atmospheric flows across scales. The core uses the nonhydrostatic equations of motion for a deep atmosphere, discretized with a hybrid approach that combines a spectral element method (SEM) in ...
Dennis Yatunin +18 more
wiley +1 more source

