Relativistic corrections to the vector meson light front wave function
June 4, 2020
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Physics
High Energy Physics - Phenomenology
Nuclear Theory
High Energy Physics - Phenomenology
Nuclear Theory
We compute a light front wave function for heavy vector mesons based on long
distance matrix elements constrained by decay width analyses in the Non
Relativistic QCD framework. Our approach provides a systematic expansion of the
wave functi...
Motivated by the prevalent data science applications of processing
large-scale graph data such as social networks and biological networks, this
paper investigates lossless compression of data in the form of a labeled graph.
Particularly, we...
Construction and sample path properties of Brownian house-moving between
two curves
June 4, 2020
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Mathematics
Probability
This study aims to construct a stochastic process called "Brownian
house-moving," which is a Brownian bridge conditioned to stay between two
curves. To construct this process, statements are prepared on the weak
convergence of conditioned B...
Explaining the Behavior of Black-Box Prediction Algorithms with Causal
Learning
June 3, 2020
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Computer Science
Statistics
Machine Learning
Artificial Intelligence
Machine Learning
Machine Learning
Artificial Intelligence
Machine Learning
Causal approaches to post-hoc explainability for black-box prediction models
(e.g., deep neural networks trained on image pixel data) have become
increasingly popular. However, existing approaches have two important
shortcomings: (i) the "e...
Conformal e-testing
June 3, 2020
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Mathematics
Statistics
Statistics Theory
Statistics Theory
There is a useful counterpart of conformal prediction for e-values, called
conformal e-prediction. Conformal prediction can serve as basis for testing the
assumption of exchangeability, leading to conformal testing. Similarly,
conformal e-p...
Convex Regression in Multidimensions: Suboptimality of Least Squares
Estimators
June 3, 2020
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Mathematics
Statistics
Statistics Theory
Machine Learning
Statistics Theory
Under the usual nonparametric regression model with Gaussian errors, Least
Squares Estimators (LSEs) over natural subclasses of convex functions are shown
to be suboptimal for estimating a d-dimensional convex function in squared
error lo...
One Step to Efficient Synthetic Data
June 3, 2020
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Mathematics
Computer Science
Statistics
Statistics Theory
Cryptography and Security
Computation
Statistics Theory
A common approach to synthetic data is to sample from a fitted model. We show
that under general assumptions, this approach results in a sample with
inefficient estimators and whose joint distribution is inconsistent with the
true distribut...
Tensor Factor Model Estimation by Iterative Projection
June 3, 2020
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Statistics
Economics
Mathematics
Methodology
Econometrics
Statistics Theory
Statistics Theory
Tensor time series, which is a time series consisting of tensorial
observations, has become ubiquitous. It typically exhibits high dimensionality.
One approach for dimension reduction is to use a factor model structure, in a
form similar to...
Space-time deep neural network approximations for high-dimensional
partial differential equations
June 3, 2020
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Mathematics
Computer Science
Probability
Machine Learning
Numerical Analysis
Analysis of PDEs
Numerical Analysis
It is one of the most challenging issues in applied mathematics to
approximately solve high-dimensional partial differential equations (PDEs) and
most of the numerical approximation methods for PDEs in the scientific
literature suffer from ...
Tangles: a structural approach to artificial intelligence in the
empirical sciences (Part I)
June 3, 2020
Computer Science
Mathematics
Artificial Intelligence
Combinatorics
Traditional clustering identifies groups of objects that share certain
qualities. Tangles do the converse: they identify groups of qualities that
often occur together. They can thereby discover, relate, and structure types:
of behaviour, po...