Adam Suarez, PhD
Raleigh, North Carolina, United States
2K followers
500+ connections
About
Experienced leader in Data, Data Science, and Machine Learning currently working in the…
Activity
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This article captures a lot of the work from me and my team over the last few years - using machine data to inform strategy. Mastercard US |…
This article captures a lot of the work from me and my team over the last few years - using machine data to inform strategy. Mastercard US |…
Liked by Adam Suarez, PhD
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What does a technical interview look like at an AI-native engineering organization? As we integrate AI more deeply into our development lifecycle…
What does a technical interview look like at an AI-native engineering organization? As we integrate AI more deeply into our development lifecycle…
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We are proud to announce the continuation of our longstanding partnership with United Airlines, ensuring that our industry-leading weather…
We are proud to announce the continuation of our longstanding partnership with United Airlines, ensuring that our industry-leading weather…
Liked by Adam Suarez, PhD
Experience
Education
Publications
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Bayesian Estimation of Principal Components for Functional Data
Bayesian Analysis
The area of principal components analysis (PCA) has seen relatively few contributions from the Bayesian school of inference. In this paper, we propose a Bayesian method for PCA in the case of functional data observed with error. We suggest modeling the covariance function by use of an approximate spectral decomposition, leading to easily interpretable parameters. We perform model selection, both over the number of principal components and the number of basis functions used in the approximation.…
The area of principal components analysis (PCA) has seen relatively few contributions from the Bayesian school of inference. In this paper, we propose a Bayesian method for PCA in the case of functional data observed with error. We suggest modeling the covariance function by use of an approximate spectral decomposition, leading to easily interpretable parameters. We perform model selection, both over the number of principal components and the number of basis functions used in the approximation. We study in depth the choice of using the implied distributions arising from the inverse Wishart prior and prove a convergence theorem for the case of an exact finite dimensional representation. We also discuss computational issues as well as the care needed in choosing hyperparameters. A simulation study is used to demonstrate competitive performance against a recent frequentist procedure, particularly in terms of the principal component estimation. Finally, we apply the method to a real dataset, where we also incorporate model selection on the dimension of the finite basis used for modeling.
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Existence of Solutions to Nonlinear Boundary Value Problems
Differential Equations and Applications
In this paper we provide sufficient conditions for the existence of solutions to nonlinear boundary value problems. We do so by applying a general abstract strategy for solving nonlinear equations with a linear component. We apply this to general systems by first isolating a linear periodic system and using the general theory of periodic solutions to find conditions on the additional nonlinear components to guarantee solutions.
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On Nonlinear Perturbations of Sturm-Liouville Problems in Discrete and Continuous Settings
Differential Equations and Applications
In this paper we provide sufficient conditions for the existence of solutions to certain classes of second-order discrete and continuous systems. In particular, we examine problems that can be posed as nonlinear perturbations of Sturm-Liouville problems. We first provide a lemma on the invertibility of a nonlinearly-perturbed invertible linear operator, and apply this result to extend previous work on these topics.
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Bayesian Clustering of Functional Data Using Local Features
Bayesian Analysis
The use of exploratory methods is an important step in the understanding of data. When clustering functional data, most methods use traditional clustering techniques on a vector of estimated basis coefficients, assuming that the underlying signal functions live in the L2-space. Bayesian methods use models which imply the belief that some observations are realizations from some signal plus noise models with identical underlying signal functions. The method we propose differs in this respect: we…
The use of exploratory methods is an important step in the understanding of data. When clustering functional data, most methods use traditional clustering techniques on a vector of estimated basis coefficients, assuming that the underlying signal functions live in the L2-space. Bayesian methods use models which imply the belief that some observations are realizations from some signal plus noise models with identical underlying signal functions. The method we propose differs in this respect: we employ a model that does not assume that any of the signal functions are truly identical, but possibly share many of their local features, represented by coefficients in a multiresolution wavelet basis expansion. We cluster each wavelet coefficient of the signal functions using conditionally independent Dirichlet process priors, thus focusing on exact matching of local features. We then demonstrate the method using two datasets from different fields to show broad application potential.
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More activity by Adam
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Come work with me! Late last year, a new organization, Aviation Intelligence, was created to combine broad data disciplines (#analytics…
Come work with me! Late last year, a new organization, Aviation Intelligence, was created to combine broad data disciplines (#analytics…
Posted by Adam Suarez, PhD
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Eliminate SQL injection risks with Python 3.14's t-strings 🔒 Building SQL queries with f-strings directly embeds user input into the query string…
Eliminate SQL injection risks with Python 3.14's t-strings 🔒 Building SQL queries with f-strings directly embeds user input into the query string…
Liked by Adam Suarez, PhD
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I’m proud to share here for the first time that, in a little less than a month, I will be handing off the reins of our industry-leading R&D…
I’m proud to share here for the first time that, in a little less than a month, I will be handing off the reins of our industry-leading R&D…
Liked by Adam Suarez, PhD
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Just because I prefer to work remotely doesn’t mean I don’t like being around people. In fact, it’s the total opposite! As an extrovert, my days…
Just because I prefer to work remotely doesn’t mean I don’t like being around people. In fact, it’s the total opposite! As an extrovert, my days…
Liked by Adam Suarez, PhD
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Really amazing to chew a blackberry and not be left with seeds in my teeth - and super tasty!
Really amazing to chew a blackberry and not be left with seeds in my teeth - and super tasty!
Liked by Adam Suarez, PhD
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A little catch-up lunch with some OG FlightAware crew! Fun times with Matt Davis, Stephen Maciolek, and Myles Din at Lupe Tortilla reminiscing about…
A little catch-up lunch with some OG FlightAware crew! Fun times with Matt Davis, Stephen Maciolek, and Myles Din at Lupe Tortilla reminiscing about…
Liked by Adam Suarez, PhD
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