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) containing a fixed symmetric fusion subcategory
A. The cons...
Firm Entry and Exit with Unbounded Productivity Growth
October 29, 2019
Quantitative Finance
Economics
Economics
General Economics
In Hopenhayn's (1992) entry-exit model productivity is bounded, implying that
the predicted firm size distribution cannot match the power law tail observable
in the data. In this paper we remove the boundedness assumption and, in this
more ...