Graph and String Parameters: Connections Between Pathwidth, Cutwidth and
the Locality Number
February 28, 2019
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Computer Science
Data Structures and Algorithms
We investigate the locality number, a recently introduced structural
parameter for strings (with applications in pattern matching with variables),
and its connection to two important graph-parameters, cutwidth and pathwidth.
These connectio...
Opial's inequality in q-Calculus revisited
February 27, 2019
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Mathematics
General Mathematics
We have fundamentally corrected the proofs of the theorems from our paper [9]
by giving an entirely different approach, using quite a simple method based on
applications of some elementary inequalities, well-known H\"older's inequality,
and...
Bergman projection induced by radial weight
February 26, 2019
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Mathematics
Functional Analysis
Complex Variables
Functional Analysis
Complex Variables
The question of when the Bergman projection Pω​ induced by a radial
weight ω on the unit disc is a bounded operator from one space into
another is of primordial importance in the theory of Bergman spaces. The
long-standing pro...
Binscatter Regressions
February 25, 2019
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Economics
Statistics
Econometrics
Computation
Econometrics
Computation
We introduce the package Binsreg, which implements the binscatter methods
developed by Cattaneo, Crump, Farrell, and Feng (2024b,a). The package includes
seven commands: binsreg, binslogit, binsprobit, binsqreg, binstest, binspwc,
and binsr...
On Binscatter
February 25, 2019
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Economics
Statistics
Econometrics
Methodology
Machine Learning
Binscatter is a popular method for visualizing bivariate relationships and
conducting informal specification testing. We study the properties of this
method formally and develop enhanced visualization and econometric binscatter
tools. These...
Factoring Perfect Reconstruction Filter Banks into Causal Lifting
Matrices: A Diophantine Approach
February 24, 2019
Computer Science
Mathematics
Information Theory
Information Theory
The elementary theory of bivariate linear Diophantine equations over
polynomial rings is used to construct causal lifting factorizations for causal
two-channel FIR perfect reconstruction filter banks and wavelet transforms. The
Diophantine ...
Coherent Sheaves on Ribbons and their Moduli
February 22, 2019
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Mathematics
Algebraic Geometry
Algebraic Geometry
A ribbon is a non-reduced curve modelled on the first infinitesimal
neighbourhood of a smooth curve in a surface. This paper is devoted to describe
some properties of coherent sheaves on such a curve and their Simpson moduli
space. In parti...
Deep Learning in Cardiology
February 22, 2019
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Computer Science
Computer Vision and Pattern Recognition
Artificial Intelligence
Machine Learning
The medical field is creating large amount of data that physicians are unable
to decipher and use efficiently. Moreover, rule-based expert systems are
inefficient in solving complicated medical tasks or for creating insights using
big data....
Parsing Gigabytes of JSON per Second
February 21, 2019
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Computer Science
Databases
Performance
Databases
Performance
JavaScript Object Notation or JSON is a ubiquitous data exchange format on
the Web. Ingesting JSON documents can become a performance bottleneck due to
the sheer volume of data. We are thus motivated to make JSON parsing as fast as
possible...
Cross Validation for Penalized Quantile Regression with a Case-Weight
Adjusted Solution Path
February 20, 2019
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Statistics
Methodology
Computation
Methodology
Computation
Cross validation is widely used for selecting tuning parameters in
regularization methods, but it is computationally intensive in general. To
lessen its computational burden, approximation schemes such as generalized
approximate cross valid...