WM
Washington Mio
math.ATmath.MGAlgorithmsmath.STstat.THstat.MLmorphometricsplant biologyArtificial Intelligencecs.CG
On Valency
published · living versionsW_qmxhkx46·v1 · currentpublished
Landscape Intervals: A Geometric Framework for Multiparameter Persistence Landscapes
with Pan Fang, Tom Needham
1 version
Preprints & journals
41 papers in the corpus · 1993–2026Covariance and Principal Component Analysis on Riemannian Manifolds and Graphs2609.15753v2 · Luiz Hartmann, Wenwen Li, Washington Mio2026 · 0 citationsarXiv
The Observable Wasserstein Distance2605.09916v2 · Edivaldo Lopes dos Santos, Leandro Vicente Mauri, Washington Mio et al.2026 · 0 citationsarXiv
Observable Covariance and Principal Observable Analysis for Data on Metric Spaces2506.04003v1 · Ece Karacam, Washington Mio, Osman Berat Okutan2025 · 0 citationsarXiv
Robust Representation and Estimation of Barycenters and Modes of Probability Measures on Metric Spaces2505.09609v2 · Washington Mio, Tom Needham2025 · 0 citationsarXiv
Stability and Approximations for Decorated Reeb Spaces2312.01982v2 · Justin Curry, Washington Mio, Tom Needham et al.2023 · 0 citationsarXiv
On Metrics for Analysis of Functional Data on Geometric Domains2309.10907v2 · Soheil Anbouhi, Washington Mio, Osman Berat Okutan2023 · 0 citationsarXiv
Topologically Attributed Graphs for Shape Discrimination2306.17805v1 · Justin Curry, Washington Mio, Tom Needham et al.2023 · 1 citationarXiv
Convergence of Leray Cosheaves for Decorated Mapper Graphs2303.00130v2 · Justin Curry, Washington Mio, Tom Needham et al.2023 · 0 citationsarXiv
Universal Mappings and Analysis of Functional Data on Geometric Domains2208.04782v2 · Soheil Anbouhi, Washington Mio, Osman Berat Okutan2022 · 0 citationsarXiv
Detecting Carbon Nanotube Orientation with Topological Analysis of Scanning Electron Micrographs.35457959 · Dong, Liyu, Hang, Haibin, Park, Jin Gyu et al.2022 · 10 citationsNanomaterials (Basel, Switzerland). 2022;12(8)
Geometric and topological approaches to shape variation in Ginkgo leaves.34849242 · Hang, Haibin, Bauer, Martin, Mio, Washington et al.2024 · 10 citationsRoyal Society open science. 2021;8(11):210978
Detecting Carbon Nanotube Orientation with Topological Data Analysis of Scanning Electron Micrographs2108.04375v1 · Liyu Dong, Haibin Hang, Jin Gyu Park et al.2021 · 0 citationsarXiv
Decorated Merge Trees for Persistent Topology2103.15804v5 · Justin Curry, Haibin Hang, Washington Mio et al.2021 · 19 citationsarXiv
Correspondence Modules and Persistence Sheaves: A Unifying Perspective on One-Parameter Persistent Homology2006.08557v2 · Haibin Hang, Washington Mio2020 · 3 citationsarXiv
Towards Quantifying Intrinsic Generalization of Deep ReLU Networks1910.08581v1 · Shaeke Salman, Canlin Zhang, Xiuwen Liu et al.2019 · 0 citationsarXiv
A Topological Study of Functional Data and Fréchet Functions of Metric Measure Spaces1811.06613v2 · Haibin Hang, Facundo M'emoli, Washington Mio2018 · 8 citationsarXiv
The Persistent Homology Mathematical Framework Provides Enhanced Genotype-to-Phenotype Associations for Plant Morphology.29871979 · Li, Mao, Frank, Margaret H, Coneva, Viktoriya et al.2019 · 61 citationsPlant physiology. 2018;177(4):1382-1395
Morphological Plant Modeling: Unleashing Geometric and Topological Potential within the Plant Sciences.28659934 · Bucksch, Alexander, Atta-Boateng, Acheampong, Azihou, Akomian F et al.2023 · 89 citationsFrontiers in plant science. 2017;8:900
A morphometric analysis of vegetation patterns in dryland ecosystems.28386414 · Mander, Luke, Dekker, Stefan C, Li, Mao et al.2023 · 43 citationsRoyal Society open science. 2017;4(2):160443
Persistent homology: a tool to universally measure plant morphologies across organs and scales10.1101/104141v1 · Li, M., Frank, M. H., Coneva, V. et al.2017 · 9 citationsbioRxiv
Rapid automated landmarking for morphometric analysis of three-dimensional facial scans.28078731 · Li, Mao, Cole, Joanne B, Manyama, Mange et al.2017 · 41 citationsJournal of anatomy. 2017;230(4):607-618
Human Facial Shape and Size Heritability and Genetic Correlations.27974501 · Cole, Joanne B, Manyama, Mange, Larson, Jacinda R et al.2017 · 78 citationsGenetics. 2017;205(2):967-978
Genome-Wide Association Study Reveals Multiple Loci Influencing Normal Human Facial Morphology.27560520 · Shaffer, John R, Orlova, Ekaterina, Lee, Myoung Keun et al.2017 · 172 citationsPLoS genetics. 2016;12(8):e1006149
Genomewide Association Study of African Children Identifies Association of SCHIP1 and PDE8A with Facial Size and Shape.27560698 · Cole, Joanne B, Manyama, Mange, Kimwaga, Emmanuel et al.2017 · 97 citationsPLoS genetics. 2016;12(8):e1006174
The Phylogenetic LASSO and the Microbiome1607.08877v1 · Stephen T Rush, Christine H Lee, Washington Mio et al.2016 · 4 citationsarXiv
Probing the Geometry of Data with Diffusion Fréchet Functions1605.04955v2 · Diego Hern'an D'iaz Mart'inez, Christine H. Lee, Peter T. Kim et al.2016 · 10 citationsarXiv
Automatic stage identification of Drosophila egg chamber based on DAPI images.26732176 · Jia, Dongyu, Xu, Qiuping, Xie, Qian et al.2016 · 98 citationsScientific reports. 2016;6:18850
The Shape of Data and Probability Measures1509.04632v2 · Diego Hern'an D'iaz Mart'inez, Facundo M'emoli, Washington Mio2015 · 5 citationsarXiv
Correlations Between the Morphology of Sonic Hedgehog Expression Domains and Embryonic Craniofacial Shape.26321772 · Xu, Qiuping, Jamniczky, Heather, Hu, Diane et al.2020 · 28 citationsEvolutionary biology. 2015;42(3):379-386
Signals from the brain induce variation in avian facial shape.25903813 · Hu, Diane, Young, Nathan M, Xu, Qiuping et al.2019 · 64 citationsDevelopmental dynamics : an official publication of the American Association of Anatomists. 2015;244(9):1133-1143
Morphometrics, 3D Imaging, and Craniofacial Development.26589938 · Hallgrimsson, Benedikt, Percival, Christopher J, Green, Rebecca et al.2016 · 103 citationsCurrent topics in developmental biology. 2015;115:561-97
Let's face it--complex traits are just not that simple.25375250 · Hallgrimsson, Benedikt, Mio, Washington, Marcucio, Ralph S et al.2015 · 82 citationsPLoS genetics. 2014;10(11):e1004724
Classification of grass pollen through the quantitative analysis of surface ornamentation and texture.24048158 · Mander, Luke, Li, Mao, Mio, Washington et al.2014 · 92 citationsProceedings. Biological sciences. 2013;280(1770):20131905
A Computational Model of Multidimensional Shape.21057668 · Liu, Xiuwen, Shi, Yonggang, Dinov, Ivo et al.2025 · 22 citationsInternational journal of computer vision. 2010;89(1):69-83
Models of normal variation and local contrasts in hippocampal anatomy.18982631 · Liu, Xinyang, Mio, Washington, Shi, Yonggang et al.2008 · 12 citationsMedical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention. 2008;11(Pt 2):407-15
Learning representations for object classification using multi-stage optimal component analysis.18234472 · Wu, Yiming, Liu, Xiuwen, Mio, Washington2008 · 3 citationsNeural networks : the official journal of the International Neural Network Society. 2008;21(2-3):214-21
Statistical shape analysis: clustering, learning, and testing.15794163 · Srivastava, A, Joshi, S H, Mio, W et al.2005 · 2,727 citationsIEEE transactions on pattern analysis and machine intelligence. 2005;27(4):590-602
Elastic shape models for interpolations of curves in image sequences.17354724 · Joshi, Shantanu H, Srivastava, Anuj, Mio, Washington2007 · 3 citationsInformation processing in medical imaging : proceedings of the ... conference. 2005;19:541-52
The quadratic form E_8 and exotic homology manifoldsmath/0403261v3 · Washington Mio, Andrew Ranicki2004 · 0 citationsGeom. Topol. Monogr. 9 (2006) 33-66
Analysis of planar shapes using geodesic paths on shape spaces.15376883 · Klassen, Eric, Srivastava, Anuj, Mio, Washington et al.2004 · 479 citationsIEEE transactions on pattern analysis and machine intelligence. 2004;26(3):372-83
Topology of homology manifoldsmath/9304210v1 · John L. Bryant, Steven C. Ferry, Washington Mio et al.1993 · 0 citationsBull. Amer. Math. Soc. (N.S.) 28 (1993) 324-328
Career total: 139 works. 41 are in this corpus.
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