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      Principles Of Heliophysics: a textbook on the universal processes behind planetary habitability

      October 30, 2019

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      Physics
      Solar and Stellar Astrophysics
      Earth and Planetary Astrophysics
      Heliophysics is the system science of the physical connections between the Sun and the solar system. As the physics of the local cosmos, it embraces space weather and planetary habitability. The wider view of comparative heliophysics forms ...

      Contextual Text Denoising with Masked Language Models

      October 30, 2019

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      Computer Science
      Machine Learning
      Computation and Language
      Recently, with the help of deep learning models, significant advances have been made in different Natural Language Processing (NLP) tasks. Unfortunately, state-of-the-art models are vulnerable to noisy texts. We propose a new contextual tex...

      Stein's Lemma for the Reparameterization Trick with Exponential Family Mixtures

      October 29, 2019

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      Statistics
      Computer Science
      Machine Learning
      Machine Learning
      Machine Learning
      Machine Learning
      Stein's method (Stein, 1973; 1981) is a powerful tool for statistical applications and has significantly impacted machine learning. Stein's lemma plays an essential role in Stein's method. Previous applications of Stein's lemma either requi...

      Twisted S-Duality

      October 29, 2019

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      Physics
      Mathematics
      Mathematical Physics
      High Energy Physics - Theory
      Algebraic Geometry
      Mathematical Physics
      Quantum Algebra
      Representation Theory
      Mathematical Physics
      High Energy Physics - Theory
      Algebraic Geometry
      Mathematical Physics
      Quantum Algebra
      Representation Theory
      We study an SL(2, Z) symmetry of a variant of BCOV theory in three complex dimensions. Using conjectural descriptions of twists of superstrings in terms of topological strings, we argue that this action can be thought of as a version of S-d...

      Topological representations of motion groups and mapping class groups -- a unified functorial construction

      October 29, 2019

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      Mathematics
      Algebraic Topology
      Geometric Topology
      Algebraic Topology
      Geometric Topology
      For groups of a topological origin, such as braid groups and mapping class groups, an important source of interesting and highly non-trivial representations is given by their actions on the twisted homology of associated spaces; these are k...

      The moduli space of multi-scale differentials

      October 29, 2019

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      Mathematics
      Algebraic Geometry
      Dynamical Systems
      Geometric Topology
      Algebraic Geometry
      Dynamical Systems
      Geometric Topology
      We construct a compactification of the moduli spaces of abelian differentials on Riemann surfaces with prescribed zeroes and poles. This compactification, called the moduli space of multi-scale differentials, is a complex orbifold with norm...

      Cauchy-Born Rule from Microscopic Models with Non-convex Potentials

      October 29, 2019

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      Physics
      Mathematics
      Mathematical Physics
      Mathematical Physics
      Probability
      We study gradient field models on an integer lattice with non-convex interactions. These models emerge in distinct branches of physics and mathematics under various names. In particular, as zero-mass lattice (Euclidean) quantum field theory...

      Smooth Solutions of the tt* Equation: A Numerical Aided Case Study

      October 29, 2019

      Physics
      Mathematics
      Mathematical Physics
      Mathematical Physics
      An important special class of the tt* equations are the tt*-Toda equations. Guest et al. have given comprehensive studies on the tt*-Toda equations in a series of papers. The fine asymptotics for a large class of solutions of a special tt*-...

      Persuasion with Coarse Communication

      October 29, 2019

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      Economics
      Theoretical Economics
      In many real-world scenarios, experts must convey complex information with limited message capacity. This paper explores how the availability of messages influences an expert's persuasive ability. We develop a geometric representation of th...

      The Reduced Tensor Product of Braided Tensor Categories Containing a Symmetric Fusion Category

      October 29, 2019

      Mathematics
      Quantum Algebra
      Category Theory
      We detail a construction of a symmetric monoidal structure, called the reduced tensor product on the 2-category of braided tensor categories BTC(A)\mathbf{BTC}(\mathcal{A})BTC(A) containing a fixed symmetric fusion subcategory A\mathcal{A}A. The cons...
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