Research graph
References from Minimum-Distortion Embedding. Local targets link to admitted publications; unresolved targets remain external evidence.
Projection-like retractions on matrix manifolds
10.1137/100802529 · 2012 · External reference
Unresolved reference
2009 · External reference
Role-based graph embeddings
2020 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2018 · External reference
A difficulty in the concept of social welfare
10.1086/256963 · 1950 · External reference
Continuous distributed representation of biological sequences for deep proteomics and genomics
10.1371/journal.pone.0141287 · 2015 · External reference
Stochastic (approximate) proximal point methods: Convergence, optimality, and adaptivity
10.1137/18m1230323 · 2019 · External reference
Unresolved reference
2019 · External reference
Unresolved reference
1997 · External reference
Laplacian eigenmaps and spectral techniques for embedding and clustering
2002 · External reference
On the dangers of stochastic parrots: Can language models be too big?
10.1145/3442188.3445922 · 2021 · External reference
Unresolved reference
External reference
Unresolved reference
External reference
Unresolved reference
2000 · External reference
Unresolved reference
2004 · External reference
Unresolved reference
2020 · External reference
Man is to computer programmer as woman is to homemaker? Debiasing word embeddings
2016 · External reference
Modern multidimensional scaling: Theory and applications
10.1111/j.1745-3984.2003.tb01108.x · 2003 · External reference
Manopt, a Matlab toolbox for optimization on manifolds
2014 · External reference
On Lipschitz embedding of finite metric spaces in Hilbert space
10.1007/bf02776078 · 1985 · External reference
10.1017/cbo9780511804441
10.1017/cbo9780511804441 · 2004 · External reference
10.1017/9781108583664
10.1017/9781108583664 · 2018 · External reference
Rank analysis of incomplete block designs: The method of paired comparisons
10.2307/2334029 · 1952 · External reference
The convergence of a class of double-rank minimization algorithms, general considerations
10.1093/imamat/6.1.76 · 1970 · External reference
A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization
10.1007/s10107-002-0352-8 · 2003 · External reference
Local minima and convergence in low-rank semidefinite programming
10.1007/s10107-004-0564-1 · 2005 · External reference
Proximity graphs for clustering and manifold learning
2005 · External reference
Unresolved reference
2005 · External reference
Unresolved reference
2006 · External reference
Proximal gradient method for nonsmooth optimization over the Stiefel manifold
10.1137/18m122457x · 2020 · External reference
Unresolved reference
2013 · External reference
Unresolved reference
2017 · External reference
Unresolved reference
1997 · External reference
Unresolved reference
2018 · External reference
10.1201/9780367801700
10.1201/9780367801700 · 2000 · External reference
Unresolved reference
External reference
Unresolved reference
2019 · External reference
Unresolved reference
2017 · External reference
Euclidean distance matrices: Essential theory, algorithms, and applications
10.1109/msp.2015.2398954 · 2015 · External reference
Unresolved reference
2011 · External reference
Unresolved reference
2012 · External reference
Unresolved reference
2001 · External reference
Unresolved reference
1984 · External reference
10.1017/cbo9780511761942
10.1017/cbo9780511761942 · 2010 · External reference
The approximation of one matrix by another of lower rank
10.1007/bf02288367 · 1936 · External reference
The geometry of algorithms with orthogonality constraints
10.1137/s0895479895290954 · 1998 · External reference
Unresolved reference
2016 · External reference
qgraph: Network visualizations of relationships in psychometric data
10.18637/jss.v048.i04 · 2012 · External reference
Some metric inequalities in the space of matrices
1955 · External reference
ACCEL: Automated circuit card etching layout
1967 · External reference
A new approach to variable metric algorithms
10.1093/comjnl/13.3.317 · 1970 · External reference
Distance based ranking models
10.1111/j.2517-6161.1986.tb01420.x · 1986 · External reference
An open graph visualization system and its applications to software engineering
10.1002/1097-024x(200009)30:11<1203::aid-spe338>3.0.co;2-n · 2000 · External reference
Word embeddings quantify 100 years of gender and ethnic stereotypes
2018 · External reference
SNOPT: an SQP algorithm for large-scale constrained optimization
10.1137/s1052623499350013 · 2002 · External reference
A family of variable-metric methods derived by variational means
10.1090/s0025-5718-1970-0258249-6 · 1970 · External reference
Unresolved reference
2013 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
External reference
A fast algorithm for particle simulations
10.1016/0021-9991(87)90140-9 · 1987 · External reference
10.1007/978-3-642-79999-0_17
10.1007/978-3-642-79999-0_17 · 1996 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2008 · External reference
An r-dimensional quadratic placement algorithm
10.1287/mnsc.17.3.219 · 1970 · External reference
Unresolved reference
2004 · External reference
Unresolved reference
2017 · External reference
The cone of distance matrices
10.1016/0024-3795(91)90068-8 · 1991 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
1989 · External reference
Stochastic neighbor embedding
2003 · External reference
Unresolved reference
1993 · External reference
An index to quantify an individual’s scientific research output
2005 · External reference
Improving fairness in machine learning systems: What do industry practitioners need?
2019 · External reference
Line search algorithms for locally Lipschitz functions on Riemannian manifolds
10.1137/16m1108145 · 2018 · External reference
Analysis of a complex of statistical variables into principal components
10.1037/h0071325 · 1933 · External reference
Structured quasiNewton methods for optimization with orthogonality constraints
10.1137/18m121112x · 2019 · External reference
Intrinsic representation of tangent vectors and vector transports on matrix manifolds
10.1007/s00211-016-0848-4 · 2017 · External reference
A Riemannian BFGS method without differentiated retraction for nonconvex optimization problems
10.1137/17m1127582 · 2018 · External reference
A Broyden class of quasi-Newton methods for Riemannian optimization
10.1137/140955483 · 2015 · External reference
Unresolved reference
External reference
Unresolved reference
2020 · External reference
A stochastic estimator of the trace of the influence matrix for Laplacian smoothing splines
10.1080/03610918908812806 · 1989 · External reference
Unresolved reference
2017 · External reference
An approach for analyzing the global rate of convergence of quasi-Newton and truncated-Newton methods
10.1007/s10957-016-1013-z · 2017 · External reference
Unresolved reference
2007 · External reference
A framework of constraint preserving update schemes for optimization on Stiefel manifold
10.1007/s10107-014-0816-7 · 2015 · External reference
Unresolved reference
2002 · External reference
Extensions of Lipschitz mappings into a Hilbert space
1984 · External reference
An algorithm for drawing general undirected graphs
10.1016/0020-0190(89)90102-6 · 1989 · External reference
Toward the optimal preconditioned eigensolver: Locally optimal block preconditioned conjugate gradient method
10.1137/s1064827500366124 · 2001 · External reference
Unresolved reference
2017 · External reference
Unresolved reference
2018 · External reference
The art of using t-SNE for single-cell transcriptomics
10.1038/s41467-019-13056-x · 2019 · External reference
Unresolved reference
2012 · External reference
Unresolved reference
2020 · External reference
Trace optimization and eigenproblems in dimension reduction methods
10.1002/nla.743 · 2011 · External reference
Unresolved reference
2003 · External reference
Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis
10.1007/bf02289565 · 1964 · External reference
Nonmetric multidimensional scaling: A numerical method
10.1007/bf02289694 · 1964 · External reference
Unresolved reference
2010 · External reference
Unresolved reference
1951 · External reference
Unresolved reference
2011 · External reference
Unresolved reference
2014 · External reference
Unresolved reference
External reference
Learning the parts of objects by nonnegative matrix factorization
10.1038/44565 · 1999 · External reference
Euclidean distance geometry and applications
10.1137/120875909 · 2014 · External reference
Riemannian manifold learning
10.1109/tpami.2007.70735 · 2008 · External reference
The geometry of graphs and some of its algorithmic applications
10.1007/bf01200757 · 1995 · External reference
Unresolved reference
2012 · External reference
10.1201/b11431
10.1201/b11431 · 2011 · External reference
Visualizing data using t-SNE
2008 · External reference
Optimization algorithms exploiting unitary constraints
10.1109/78.984753 · 2002 · External reference
Brève communication. Régularisation d’inéquations variationnelles par approximations successives
1970 · External reference
Unresolved reference
External reference
Unresolved reference
External reference
Unresolved reference
2018 · External reference
Unresolved reference
2018 · External reference
Untersuchungen über allgemeine Metrik
10.1007/bf01448840 · 1928 · External reference
Unresolved reference
2020 · External reference
Distributed representations of words and phrases and their compo-sitionality
2013 · External reference
Unresolved reference
2017 · External reference
The Population Reference Sample, POPRES: a resource for population, disease, and pharmacological genetics research
10.1016/j.ajhg.2008.08.005 · 2008 · External reference
Unresolved reference
External reference
Unresolved reference
2017 · External reference
Poincaré embeddings for learning hierarchical representations
2017 · External reference
Updating quasi-Newton matrices with limited storage
10.1090/s0025-5718-1980-0572855-7 · 1980 · External reference
Unresolved reference
2006 · External reference
Genes mirror geography within Europe
10.1038/nature07331 · 2008 · External reference
Unresolved reference
1999 · External reference
Proximal algorithms
10.1561/2400000003 · 2014 · External reference
PyTorch: An imperative style, high-performance deep learning library
2019 · External reference
On lines and planes of closest fit to systems of points in space
10.1080/14786440109462720 · 1901 · External reference
Scikit-learn: Machine learning in Python
2011 · External reference
Unresolved reference
2014 · External reference
The analysis of permutations
1975 · External reference
openTSNE: A modular Python library for t-SNE dimensionality reduction and embedding
10.1101/731877 · 2019 · External reference
Partitioning sparse matrices with eigenvectors of graphs
10.1137/0611030 · 1990 · External reference
A forced directed component placement procedure for printed circuit boards
10.1109/tcs.1979.1084652 · 1979 · External reference
Unresolved reference
2010 · External reference
Multidimensional psychophysics
1938 · External reference
Optimization methods on Riemannian manifolds and their application to shape space
10.1137/11082885x · 2012 · External reference
Monotone operators and the proximal point algorithm
10.1137/0314056 · 1976 · External reference
Nonlinear dimensionality reduction by locally linear embedding
10.1126/science.290.5500.2323 · 2000 · External reference
Unresolved reference
2014 · External reference
Unresolved reference
2018 · External reference
A nonlinear mapping for data structure analysis
10.1109/t-c.1969.222678 · 1969 · External reference
Entering the era of single-cell transcriptomics in biology and medicine
10.1038/nmeth.2764 · 2014 · External reference
A tractable latent variable model for nonlinear dimensionality reduction
2020 · External reference
An introduction to locally linear embedding
2001 · External reference
A generalized solution of the orthogonal Procrustes problem
10.1007/bf02289451 · 1966 · External reference
Optimizing quality of response through adaptive survey designs
2013 · External reference
Conditioning of quasi-Newton methods for function minimization
10.1090/s0025-5718-1970-0274029-x · 1970 · External reference
Unresolved reference
2012 · External reference
Analytical placement: A linear or a quadratic objective function?
1991 · External reference
Structure-preserving visualisation of high dimensional single-cell datasets
10.1038/s41598-019-45301-0 · 2019 · External reference
Unresolved reference
2016 · External reference
Unresolved reference
2015 · External reference
A global geometric framework for nonlinear dimensionality reduction
10.1126/science.290.5500.2319 · 2000 · External reference
Multidimensional scaling: I. Theory and method
10.1007/bf02288916 · 1952 · External reference
PyManopt: A python toolbox for optimization on manifolds using automatic differentiation
2016 · External reference
Unresolved reference
1997 · External reference
How to draw a graph
1963 · External reference
10.1561/2200000055 · 2016 · Admitted local publication
Unresolved reference
External reference
Designing games with a purpose
10.1145/1378704.1378719 · 2008 · External reference
A tutorial on spectral clustering
10.1007/s11222-007-9033-z · 2007 · External reference
On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
10.1007/s10107-004-0559-y · 2006 · External reference
Unresolved reference
2020 · External reference
Unresolved reference
2004 · External reference
Embeddings.jl: Easy access to pretrained word embeddings from Julia
10.21105/joss.01013 · 2019 · External reference
A single-cell atlas of the peripheral immune response in patients with severe COVID-19
2020 · External reference
Spherical and hyperbolic embeddings of data
10.1109/tpami.2014.2316836 · 2014 · External reference
Unresolved reference
2010 · External reference
Graph embedding and extensions: A general framework for dimensionality reduction
10.1109/tpami.2007.250598 · 2006 · External reference
Discussion of a set of points in terms of their mutual distances
10.1007/bf02287916 · 1938 · External reference
Robust Euclidean embedding via EDM optimization
2019 · External reference
Unresolved reference
2019 · External reference
