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      Fragile 3D Order in V1−x_{1-x}1−x​Mox_xx​O2_22​

      September 27, 2019

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      Physics
      Strongly Correlated Electrons
      Materials Science
      The metal-to-insulator transition (MIT) in rutile VO2_22​ has proven uniquely difficult to characterize because of the complex interplay between electron correlations and atomic structure. Here we report the discovery of the sudden collapse ...

      Towards declarative comparabilities: application to functional dependencies

      September 27, 2019

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      Computer Science
      Mathematics
      Logic in Computer Science
      Databases
      Information Theory
      Information Theory
      In real life, data are often of poor quality as a result, for instance, of uncertainty, mismeasurements, missing values or bad inputs. This issue hampers an implicit yet crucial operation of every database management system: equality testin...

      Broadcasting of non-locality

      September 27, 2019

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      Physics
      Quantum Physics
      Bell nonlocality and steering are archetypal characteristics of quantum mechanics that mark a significant departure from conventional classical notions. They basically refer to the presence of quantum correlations between separated systems ...

      Drawing Early-Bird Tickets: Towards More Efficient Training of Deep Networks

      September 26, 2019

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      Computer Science
      Statistics
      Machine Learning
      Machine Learning
      Machine Learning
      Machine Learning
      (Frankle & Carbin, 2019) shows that there exist winning tickets (small but critical subnetworks) for dense, randomly initialized networks, that can be trained alone to achieve comparable accuracies to the latter in a similar number of itera...

      Magnetic Doublon Bound States in the Kondo Lattice Model

      September 26, 2019

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      Physics
      Strongly Correlated Electrons
      We present a novel pairing mechanism for electrons, mediated by magnons. These paired bound states are termed ``magnetic doublons''. Applying numerically exact techniques (full diagonalization and the density-matrix renormalization group, D...

      Menger Convexity and Hausdorff Metric

      September 26, 2019

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      Mathematics
      General Topology
      Shimizu and Takahashi have shown that every decreasing sequence of nonempty, bounded, closed, convex subsets of a complete, uniformly Takahashi convex metric space has nonempty intersection. It is well known that the Menger convexity is a g...

      Compact manifolds of dimension n≥12n\geq 12n≥12 with positive isotropic curvature

      September 26, 2019

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      Mathematics
      Differential Geometry
      Differential Geometry
      We prove the following result: Let (M,g0)(M,g_0)(M,g0​) be a compact manifold of dimension n≥12n\geq 12n≥12 with positive isotropic curvature. Then MMM is diffeomorphic to a spherical space form, or the total space of an orbifiber bundle over S1\mathbb{S}^1S1...

      Metal-insulator transition in CaCu3_33​Fe4_44​O12_{12}12​

      September 26, 2019

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      Physics
      Strongly Correlated Electrons
      Materials Science
      We study structurally-triggered metal-insulator transition in CaCu3_33​Fe4_44​O12_{12}12​ by means of local density approximation (LDA) +UUU and LDA+dynamical mean-field theory (DMFT). The ferrimagnetic insulating phase is essentially the same w...

      Symplectic ODE-Net: Learning Hamiltonian Dynamics with Control

      September 26, 2019

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      Statistics
      Physics
      Electrical Engineering and Systems Science
      Computer Science
      Machine Learning
      Computational Physics
      Systems and Control
      Systems and Control
      Machine Learning
      In this paper, we introduce Symplectic ODE-Net (SymODEN), a deep learning framework which can infer the dynamics of a physical system, given by an ordinary differential equation (ODE), from observed state trajectories. To achieve better gen...

      A Facet Enumeration Algorithm for Convex Polytopes

      September 25, 2019

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      Mathematics
      Optimization and Control
      Combinatorics
      Optimization and Control
      Combinatorics
      This paper proposes a novel and simple algorithm of facet enumeration for convex polytopes. The complexity of the algorithm is discussed. The algorithm is implemented in Matlab. Some simple polytopes with known H-representations and V-repre...
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