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06/11/2023
The capacity of quiver representations and the Anantharam-Jog-Nair inequality
The Anantharam-Jog-Nair inequality [AJN22] in Information Theory provide...
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01/10/2023
Tensor Denoising via Amplification and Stable Rank Methods
Tensors in the form of multilinear arrays are ubiquitous in data science...
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05/30/2022
Subrank and Optimal Reduction of Scalar Multiplications to Generic Tensors
Since the seminal works of Strassen and Valiant it has been a central th...
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12/09/2021
A Novel Tropical Geometry-based Interpretable Machine Learning Method: Application in Prognosis of Advanced Heart Failure
A model's interpretability is essential to many practical applications s...
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11/07/2020
Maximum likelihood estimation for tensor normal models via castling transforms
In this paper, we study sample size thresholds for maximum likelihood es...
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09/02/2020
Lunar Crater Identification in Digital Images
It is often necessary to identify a pattern of observed craters in a sin...
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07/20/2020
Maximum likelihood estimation for matrix normal models via quiver representations
In this paper, we study the log-likelihood function and Maximum Likeliho...
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05/25/2020
Algebraic Methods for Tensor Data
We develop algebraic methods for computations with tensor data. We give ...
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02/27/2019
An exponential lower bound for the degrees of invariants of cubic forms and tensor actions
Using the Grosshans Principle, we develop a method for proving lower bou...
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01/06/2018
Algorithms for orbit closure separation for invariants and semi-invariants of matrices
We consider two group actions on m-tuples of n × n matrices. The first i...
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05/30/2017