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      New Constructions of Optimal Binary LCD Codes

      February 2, 2023

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      Computer Science
      Mathematics
      Information Theory
      Information Theory
      Information Theory
      Information Theory
      Linear complementary dual (LCD) codes can provide an optimum linear coding solution for the two-user binary adder channel. LCD codes also can be used to against side-channel attacks and fault non-invasive attacks. Let dLCD(n,k)d_{LCD}(n, k)dLCD​(n,k) denote...

      Injective ellipticity, cancelling operators, and endpoint Gagliardo-Nirenberg-Sobolev inequalities for vector fields

      February 2, 2023

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      Mathematics
      Analysis of PDEs
      Classical Analysis and ODEs
      Functional Analysis
      Analysis of PDEs
      Classical Analysis and ODEs
      Functional Analysis
      Although Ornstein's nonestimate entails the impossibility to control in general all the L1L^1L1-norm of derivatives of a function by the L1L^1L1-norm of a constant coefficient homogeneous vector differential operator, the corresponding endpoint...

      Cheeger inequalities on simplicial complexes

      February 2, 2023

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      Mathematics
      Combinatorics
      Geometric Topology
      Metric Geometry
      Spectral Theory
      Combinatorics
      Geometric Topology
      Metric Geometry
      Spectral Theory
      Cheeger-type inequalities in which the decomposability of a graph and the spectral gap of its Laplacian mutually control each other play an important role in graph theory and network analysis, in particular in the context of expander theory...

      Linear independence of coherent systems associated to discrete subgroups

      February 2, 2023

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      Mathematics
      Functional Analysis
      This note considers the finite linear independence of coherent systems associated to discrete subgroups. We show by simple arguments that such coherent systems of amenable groups are linearly independent whenever the associated twisted grou...

      Carath\'eodory Theory and A Priori Estimates for Continuity Inclusions in the Space of Probability Measures

      February 2, 2023

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      Mathematics
      Optimization and Control
      Probability
      In this article, we extend the foundations of the theory of differential inclusions in the space of compactly supported probability measures, introduced recently by the authors, to the setting of general Wasserstein spaces. In this context,...

      Spin waves and orbital contribution to ferromagnetism in a topological metal

      February 2, 2023

      | | | | | | | | | | and others

      Physics
      Strongly Correlated Electrons
      Materials Science
      Special arrangements of atoms with more than one atom per unit cell, including honeycomb or kagome (woven bamboo mat) lattices, can host propagating excitations with non-trivial topology as defined by their evolution along closed paths in m...

      OGLE-2016-BLG-1195Lb: A Sub-Neptune Beyond the Snow Line of an M-dwarf Confirmed by Keck AO

      February 2, 2023

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      Physics
      Earth and Planetary Astrophysics
      We present the analysis of high resolution follow-up observations of OGLE-2016-BLG-1195 using Laser Guide Star Adaptive Optics with Keck, seven years after the event's peak. We resolve the lens, measuring its flux and the relative source-le...

      Knowledge Gradient for Multi-Objective Bayesian Optimization with Decoupled Evaluations

      February 2, 2023

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      Statistics
      Computer Science
      Mathematics
      Machine Learning
      Machine Learning
      Optimization and Control
      Multi-objective Bayesian optimization aims to find the Pareto front of trade-offs between a set of expensive objectives while collecting as few samples as possible. In some cases, it is possible to evaluate the objectives separately, and a ...

      kkk-spaces of non-domain-valued geometric points

      February 2, 2023

      Mathematics
      Algebraic Geometry
      The aim of this paper is to study the topological properties of algebraic sets with zero divisors. We impose a subbasic topology on the set of proper ideals of a kkk-algebra and this new ``kkk-space'' becomes a generalization of the corresp...

      Robust Estimation under the Wasserstein Distance

      February 2, 2023

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      Statistics
      Computer Science
      Mathematics
      Machine Learning
      Machine Learning
      Statistics Theory
      Statistics Theory
      We study the problem of robust distribution estimation under the Wasserstein distance, a popular discrepancy measure between probability distributions rooted in optimal transport (OT) theory. Given nnn samples from an unknown distribution $...
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