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Volume 1, 2019

Foundations of Data Science invites submissions focusing on advances in mathematical, statistical, and computational methods for data science. Results should significantly advance current understanding of data science, by algorithm development, analysis, and/or computational implementation which demonstrates behavior and applicability of the algorithm. Fields covered by the journal include, but are not limited to Bayesian Statistics, High Performance Computing, Inverse Problems, Data Assimilation, Machine Learning, Optimization, Topological Data Analysis, Spatial Statistics, Nonparametric Statistics, Uncertainty Quantification, and Data Centric Engineering. Expository and review articles are welcome. Papers which focus on applications in science and engineering are also encouraged, however the method(s) used should be applicable outside of one specific application domain.

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General risk measures for robust machine learning
Émilie Chouzenoux, Henri Gérard and Jean-Christophe Pesquet
2019, 1(3) : 249-269 doi: 10.3934/fods.2019011 +[Abstract](109) +[HTML](68) +[PDF](899.95KB)
Learning by active nonlinear diffusion
Mauro Maggioni and James M. Murphy
2019, 1(3) : 271-291 doi: 10.3934/fods.2019012 +[Abstract](121) +[HTML](61) +[PDF](4001.74KB)
Modelling dynamic network evolution as a Pitman-Yor process
Francesco Sanna Passino and Nicholas A. Heard
2019, 1(3) : 293-306 doi: 10.3934/fods.2019013 +[Abstract](168) +[HTML](114) +[PDF](1164.04KB)
Power weighted shortest paths for clustering Euclidean data
Daniel Mckenzie and Steven Damelin
2019, 1(3) : 307-327 doi: 10.3934/fods.2019014 +[Abstract](11) +[HTML](14) +[PDF](663.53KB)
Randomized learning of the second-moment matrix of a smooth function
Armin Eftekhari, Michael B. Wakin, Ping Li and Paul G. Constantine
2019, 1(3) : 329-387 doi: 10.3934/fods.2019015 +[Abstract](16) +[HTML](20) +[PDF](1123.92KB)
Accelerating Metropolis-Hastings algorithms by Delayed Acceptance
Marco Banterle, Clara Grazian, Anthony Lee and Christian P. Robert
2019, 1(2) : 103-128 doi: 10.3934/fods.2019005 +[Abstract](915) +[HTML](597) +[PDF](685.26KB) Cited By(0)
EmT: Locating empty territories of homology group generators in a dataset
Xin Xu and Jessi Cisewski-Kehe
2019, 1(2) : 227-247 doi: 10.3934/fods.2019010 +[Abstract](512) +[HTML](353) +[PDF](2681.18KB) Cited By(0)
Consistent manifold representation for topological data analysis
Tyrus Berry and Timothy Sauer
2019, 1(1) : 1-38 doi: 10.3934/fods.2019001 +[Abstract](1035) +[HTML](601) +[PDF](3141.49KB) Cited By(0)
Editorial
Ajay Jasra, Kody J. H. Law and Vasileios Maroulas
2019, 1(1) : ⅰ-ⅲ doi: 10.3934/fods.20191i +[Abstract](693) +[HTML](482) +[PDF](81.25KB) Cited By(0)
Power weighted shortest paths for clustering Euclidean data
Daniel Mckenzie and Steven Damelin
2019, 1(3) : 307-327 doi: 10.3934/fods.2019014 +[Abstract](11) +[HTML](14) +[PDF](663.53KB) Cited By(0)
Randomized learning of the second-moment matrix of a smooth function
Armin Eftekhari, Michael B. Wakin, Ping Li and Paul G. Constantine
2019, 1(3) : 329-387 doi: 10.3934/fods.2019015 +[Abstract](16) +[HTML](20) +[PDF](1123.92KB) Cited By(0)
Modelling dynamic network evolution as a Pitman-Yor process
Francesco Sanna Passino and Nicholas A. Heard
2019, 1(3) : 293-306 doi: 10.3934/fods.2019013 +[Abstract](168) +[HTML](114) +[PDF](1164.04KB) Cited By(0)
Learning by active nonlinear diffusion
Mauro Maggioni and James M. Murphy
2019, 1(3) : 271-291 doi: 10.3934/fods.2019012 +[Abstract](121) +[HTML](61) +[PDF](4001.74KB) Cited By(0)
Combinatorial Hodge theory for equitable kidney paired donation
Joshua L. Mike and Vasileios Maroulas
2019, 1(1) : 87-101 doi: 10.3934/fods.2019004 +[Abstract](1020) +[HTML](504) +[PDF](1089.46KB) Cited By(0)
Levels and trends in the sex ratio at birth and missing female births for 29 states and union territories in India 1990–2016: A Bayesian modeling study
Fengqing Chao and Ajit Kumar Yadav
2019, 1(2) : 177-196 doi: 10.3934/fods.2019008 +[Abstract](775) +[HTML](330) +[PDF](2577.91KB) Cited By(0)
Accelerating Metropolis-Hastings algorithms by Delayed Acceptance
Marco Banterle, Clara Grazian, Anthony Lee and Christian P. Robert
2019, 1(2) : 103-128 doi: 10.3934/fods.2019005 +[Abstract](915) +[HTML](597) +[PDF](685.26KB) PDF Downloads(111)
Particle filters for inference of high-dimensional multivariate stochastic volatility models with cross-leverage effects
Yaxian Xu and Ajay Jasra
2019, 1(1) : 61-85 doi: 10.3934/fods.2019003 +[Abstract](921) +[HTML](532) +[PDF](935.96KB) PDF Downloads(80)
Consistent manifold representation for topological data analysis
Tyrus Berry and Timothy Sauer
2019, 1(1) : 1-38 doi: 10.3934/fods.2019001 +[Abstract](1035) +[HTML](601) +[PDF](3141.49KB) PDF Downloads(76)
Approximate Bayesian inference for geostatistical generalised linear models
Evangelos Evangelou
2019, 1(1) : 39-60 doi: 10.3934/fods.2019002 +[Abstract](1093) +[HTML](409) +[PDF](1121.17KB) PDF Downloads(60)
Estimation and uncertainty quantification for the output from quantum simulators
Ryan Bennink, Ajay Jasra, Kody J. H. Law and Pavel Lougovski
2019, 1(2) : 157-176 doi: 10.3934/fods.2019007 +[Abstract](578) +[HTML](307) +[PDF](878.63KB) PDF Downloads(40)
Levels and trends in the sex ratio at birth and missing female births for 29 states and union territories in India 1990–2016: A Bayesian modeling study
Fengqing Chao and Ajit Kumar Yadav
2019, 1(2) : 177-196 doi: 10.3934/fods.2019008 +[Abstract](775) +[HTML](330) +[PDF](2577.91KB) PDF Downloads(39)
Editorial
Ajay Jasra, Kody J. H. Law and Vasileios Maroulas
2019, 1(1) : ⅰ-ⅲ doi: 10.3934/fods.20191i +[Abstract](693) +[HTML](482) +[PDF](81.25KB) PDF Downloads(38)
Combinatorial Hodge theory for equitable kidney paired donation
Joshua L. Mike and Vasileios Maroulas
2019, 1(1) : 87-101 doi: 10.3934/fods.2019004 +[Abstract](1020) +[HTML](504) +[PDF](1089.46KB) PDF Downloads(38)
On adaptive estimation for dynamic Bernoulli bandits
Xue Lu, Niall Adams and Nikolas Kantas
2019, 1(2) : 197-225 doi: 10.3934/fods.2019009 +[Abstract](397) +[HTML](356) +[PDF](3921.08KB) PDF Downloads(38)
Flexible online multivariate regression with variational Bayes and the matrix-variate Dirichlet process
Victor Meng Hwee Ong, David J. Nott, Taeryon Choi and Ajay Jasra
2019, 1(2) : 129-156 doi: 10.3934/fods.2019006 +[Abstract](448) +[HTML](307) +[PDF](1020.87KB) PDF Downloads(32)

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