Frank Nielsen
Orcid: 0000000157280726Affiliations:
 Sony Computer Science Laboratories, Tokyo, Japan
According to our database^{1},
Frank Nielsen
authored at least 277 papers
between 1996 and 2024.
Collaborative distances:
Collaborative distances:
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Bibliography
2024
Divergences Induced by the Cumulant and Partition Functions of Exponential Families and Their Deformations Induced by Comparative Convexity.
Entropy, March, 2024
On the fdivergences between densities of a multivariate location or scale family.
Stat. Comput., February, 2024
Adaptive <i>k</i>nearest neighbor classifier based on the local estimation of the shape operator.
CoRR, 2024
CoRR, 2024
CoRR, 2024
CoRR, 2024
CoRR, 2024
Proceedings of the Fortyfirst International Conference on Machine Learning, 2024
Proceedings of the ThirtyEighth AAAI Conference on Artificial Intelligence, 2024
2023
IEEE Trans. Inf. Theory, May, 2023
A Simple Approximation Method for the FisherRao Distance between Multivariate Normal Distributions.
Entropy, April, 2023
Divergences induced by dual subtractive and divisive normalizations of exponential families and their convex deformations.
CoRR, 2023
The Tempered Hilbert Simplex Distance and Its Application To Nonlinear Embeddings of TEMs.
CoRR, 2023
FisherRao distance and pullback SPD cone distances between multivariate normal distributions.
CoRR, 2023
CoRR, 2023
CoRR, 2023
A numerical approximation method for the FisherRao distance between multivariate normal distributions.
CoRR, 2023
Partial kmeans to avoid outliers, mathematical programming formulations, complexity results.
CoRR, 2023
Beyond scalar quasiarithmetic means: Quasiarithmetic averages and quasiarithmetic mixtures in information geometry.
CoRR, 2023
Proceedings of the Topological, 2023
FisherRao and pullback Hilbert cone distances on the multivariate Gaussian manifold with applications to simplification and quantization of mixtures.
Proceedings of the Topological, 2023
Proceedings of the Optimization and Learning  6th International Conference, 2023
Simplifying Momentumbased Positivedefinite Submanifold Optimization with Applications to Deep Learning.
Proceedings of the International Conference on Machine Learning, 2023
Proceedings of the Geometric Science of Information  6th International Conference, 2023
Quasiarithmetic Centers, Quasiarithmetic Mixtures, and the JensenShannon $\nabla $Divergences.
Proceedings of the Geometric Science of Information  6th International Conference, 2023
2022
Entropy, 2022
Statistical Divergences between Densities of Truncated Exponential Families with Nested Supports: Duo Bregman and Duo Jensen Divergences.
Entropy, 2022
CoRR, 2022
On the Influence of Enforcing Model Identifiability on Learning dynamics of Gaussian Mixture Models.
CoRR, 2022
Information geometry of the TojoYoshino's exponential family on the Poincaré upper plane.
CoRR, 2022
A note on the fdivergences between multivariate locationscale families with either prescribed scale matrices or location parameters.
CoRR, 2022
CoRR, 2022
Generalizing the AlphaDivergences and the Oriented KullbackLeibler Divergences with QuasiArithmetic Means.
Algorithms, 2022
2021
IEEE Trans. Neural Networks Learn. Syst., 2021
Fast Approximations of the Jeffreys Divergence between Univariate Gaussian Mixtures via Mixture Conversions to ExponentialPolynomial Distributions.
Entropy, 2021
On a Variational Definition for the JensenShannon Symmetrization of Distances Based on the Information Radius.
Entropy, 2021
CoRR, 2021
CoRR, 2021
CoRR, 2021
Fast approximations of the Jeffreys divergence between univariate Gaussian mixture models via exponential polynomial densities.
CoRR, 2021
The dually flat information geometry of the mixture family of two prescribed Cauchy components.
CoRR, 2021
CoRR, 2021
On information projections between multivariate elliptical and locationscale families.
CoRR, 2021
Proceedings of the ThirtySeventh Conference on Uncertainty in Artificial Intelligence, 2021
Proceedings of the 38th International Conference on Machine Learning, 2021
Proceedings of the Geometric Science of Information  5th International Conference, 2021
cCorrGAN: Conditional Correlation GAN for Learning Empirical Conditional Distributions in the Elliptope.
Proceedings of the Geometric Science of Information  5th International Conference, 2021
Proceedings of the Geometric Science of Information  5th International Conference, 2021
2020
AnticipationRNN: enforcing unary constraints in sequence generation, with application to interactive music generation.
Neural Comput. Appl., 2020
Entropy, 2020
Entropy, 2020
Entropy, 2020
On a Generalization of the JensenShannon Divergence and the JensenShannon Centroid.
Entropy, 2020
CoRR, 2020
CoRR, 2020
On Voronoi diagrams and dual Delaunay complexes on the informationgeometric Cauchy manifolds.
CoRR, 2020
CoRR, 2020
A note on Onicescu's informational energy and correlation coefficient in exponential families.
CoRR, 2020
Cumulantfree closedform formulas for some common (dis)similarities between densities of an exponential family.
CoRR, 2020
A generalization of the αdivergences based on comparable and distinct weighted means.
CoRR, 2020
Proceedings of the Geometric Structures of Statistical Physics, Information Geometry, and Learning, 2020
Proceedings of the Optimization and Learning  Third International Conference, 2020
2019
Entropy, 2019
CoRR, 2019
InformationGeometric Set Embeddings (IGSE): From Sets to Probability Distributions.
CoRR, 2019
CoRR, 2019
A note on the quasiconvex Jensen divergences and the quasiconvex Bregman divergences derived thereof.
CoRR, 2019
Planar pcenter problems are solvable in polynomial time when clustering a Pareto Front.
CoRR, 2019
CoRR, 2019
A closedform formula for the KullbackLeibler divergence between Cauchy distributions.
CoRR, 2019
CoRR, 2019
On a generalization of the JensenShannon divergence and the JSsymmetrization of distances relying on abstract means.
CoRR, 2019
CoRR, 2019
Proceedings of the Optimization of Complex Systems: Theory, 2019
Proceedings of the ThirtyFifth Conference on Uncertainty in Artificial Intelligence, 2019
Proceedings of the Geometric Science of Information  4th International Conference, 2019
The Statistical Minkowski Distances: ClosedForm Formula for Gaussian Mixture Models.
Proceedings of the Geometric Science of Information  4th International Conference, 2019
Geometry and FixedRate Quantization in Riemannian Metric Spaces Induced by Separable Bregman Divergences.
Proceedings of the Geometric Science of Information  4th International Conference, 2019
2018
Computational Information Geometry for Binary Classification of HighDimensional Random Tensors.
Entropy, 2018
CoRR, 2018
CoRR, 2018
CoRR, 2018
Guaranteed Deterministic Bounds on the total variation Distance between univariate mixtures.
Proceedings of the 28th IEEE International Workshop on Machine Learning for Signal Processing, 2018
Proceedings of the 2018 IEEE International Conference on Acoustics, 2018
Proceedings of the 2018 IEEE International Conference on Acoustics, 2018
Proceedings of the 26th European Signal Processing Conference, 2018
2017
Generalizing Skew Jensen Divergences and Bregman Divergences With Comparative Convexity.
IEEE Signal Process. Lett., 2017
MaxEnt Upper Bounds for the Differential Entropy of Univariate Continuous Distributions.
IEEE Signal Process. Lett., 2017
Entropy, 2017
CoRR, 2017
CoRR, 2017
CoRR, 2017
CoRR, 2017
Distributionfree Evolvability of Vector Spaces: All it takes is a Generating Set.
CoRR, 2017
CoRR, 2017
Generalizing Jensen and Bregman divergences with comparative convexity and the statistical Bhattacharyya distances with comparable means.
CoRR, 2017
GLSRVAE: Geodesic latent space regularization for variational autoencoder architectures.
Proceedings of the 2017 IEEE Symposium Series on Computational Intelligence, 2017
Proceedings of the 34th International Conference on Machine Learning, 2017
Relative Fisher Information and Natural Gradient for Learning Large Modular Models.
Proceedings of the 34th International Conference on Machine Learning, 2017
Proceedings of the 2017 IEEE International Conference on Acoustics, 2017
Information geometry metric for random signal detection in large random sensing systems.
Proceedings of the 2017 IEEE International Conference on Acoustics, 2017
Proceedings of the Geometric Science of Information  Third International Conference, 2017
Proceedings of the Geometric Science of Information  Third International Conference, 2017
Proceedings of the Geometric Science of Information  Third International Conference, 2017
Proceedings of the 33rd International Symposium on Computational Geometry, 2017
Proceedings of the ThirtyFirst AAAI Conference on Artificial Intelligence, 2017
2016
Undergraduate Topics in Computer Science, Springer, ISBN: 9783319219035, 2016
IEEE Trans. Inf. Theory, 2016
IEEE Signal Process. Lett., 2016
Guaranteed Bounds on InformationTheoretic Measures of Univariate Mixtures Using Piecewise LogSumExp Inequalities.
Entropy, 2016
CoRR, 2016
Guaranteed bounds on the KullbackLeibler divergence of univariate mixtures using piecewise logsumexp inequalities.
CoRR, 2016
CoRR, 2016
Fast $(1+ε)$approximation of the Löwner extremal matrices of highdimensional symmetric matrices.
CoRR, 2016
CoRR, 2016
CoRR, 2016
Optimal transport vs. FisherRao distance between copulas for clustering multivariate time series.
Proceedings of the IEEE Statistical Signal Processing Workshop, 2016
Proceedings of the Similarity Search and Applications  9th International Conference, 2016
Proceedings of the Similarity Search and Applications  9th International Conference, 2016
Exploring and measuring nonlinear correlations: Copulas, Lightspeed Transportation and Clustering.
Proceedings of the NIPS 2016 Time Series Workshop, 2016
Proceedings of the TwentyFifth International Joint Conference on Artificial Intelligence, 2016
Proceedings of the 33nd International Conference on Machine Learning, 2016
Proceedings of the 33nd International Conference on Machine Learning, 2016
SSSCAM: A unified framework for video cosegmentation by structured sparse subspace clustering with appearance and motion features.
Proceedings of the 2016 IEEE International Conference on Image Processing, 2016
Proceedings of the 2016 IEEE International Conference on Image Processing, 2016
Proceedings of the 2016 IEEE International Conference on Acoustics, 2016
Proceedings of the 2016 IEEE International Conference on Acoustics, 2016
2015
IEEE Trans. Pattern Anal. Mach. Intell., 2015
Comment partitionner automatiquement des marches aléatoires ? Avec application à la finance quantitative.
CoRR, 2015
HCMapper: An interactive visualization tool to compare partitionbased flat clustering extracted from pairs of dendrograms.
CoRR, 2015
A Proposal of a Methodological Framework with Experimental Guidelines to Investigate Clustering Stability on Financial Time Series.
Proceedings of the 14th IEEE International Conference on Machine Learning and Applications, 2015
Proceedings of the 2015 IEEE International Conference on Acoustics, 2015
Proceedings of the Geometric Science of Information  Second International Conference, 2015
Proceedings of the Geometric Science of Information  Second International Conference, 2015
Proceedings of the Geometric Science of Information  Second International Conference, 2015
Proceedings of the Geometric Science of Information  Second International Conference, 2015
2014
Optimal Interval Clustering: Application to Bregman Clustering and Statistical Mixture Learning.
IEEE Signal Process. Lett., 2014
On the Chi Square and HigherOrder Chi Distances for Approximating $f$ Divergences.
IEEE Signal Process. Lett., 2014
Generalized Bhattacharyya and Chernoff upper bounds on Bayes error using quasiarithmetic means.
Pattern Recognit. Lett., 2014
Entropy, 2014
CoRR, 2014
Further heuristics for $k$means: The mergeandsplit heuristic and the $(k, l)$means.
CoRR, 2014
A note on the optimal scalar Bregman kmeans clustering with an application to learning best statistical mixtures.
CoRR, 2014
Proceedings of the 30th Annual Symposium on Computational Geometry, 2014
2013
Jeffreys Centroids: A ClosedForm Expression for Positive Histograms and a Guaranteed Tight Approximation for Frequency Histograms.
IEEE Signal Process. Lett., 2013
IEEE Signal Process. Lett., 2013
CoRR, 2013
CoRR, 2013
CoRR, 2013
CoRR, 2013
Comput. Geom., 2013
Proceedings of the SimilarityBased Pattern Recognition  Second International Workshop, 2013
Pattern Learning and Recognition on Statistical Manifolds: An InformationGeometric Review.
Proceedings of the SimilarityBased Pattern Recognition  Second International Workshop, 2013
Proceedings of the SIGGRAPH Asia 2013, 2013
Proceedings of the 13. IAPR International Conference on Machine Vision Applications, 2013
Nonlinear book manifolds: learning from associations the dynamic geometry of digital libraries.
Proceedings of the 13th ACM/IEEECS Joint Conference on Digital Libraries, 2013
Proceedings of the Geometric Science of Information  First International Conference, 2013
Proceedings of the Geometric Science of Information  First International Conference, 2013
Proceedings of the 2nd IAPR Asian Conference on Pattern Recognition, 2013
2012
IEEE Trans. Pattern Anal. Mach. Intell., 2012
LMS J. Comput. Math., 2012
Neurocomputing, 2012
Int. J. Comput. Vis., 2012
CoRR, 2012
Proceedings of the SIGGRAPH Asia 2012 Poster Proceedings, Singapore, Singapore, November 28, 2012
Proceedings of the Machine Learning and Knowledge Discovery in Databases, 2012
Biomedical Images Classification by Universal Nearest Neighbours Classifier Using Posterior Probability.
Proceedings of the Machine Learning in Medical Imaging  Third International Workshop, 2012
Proceedings of the 21st International Conference on Pattern Recognition, 2012
Proceedings of the 21st International Conference on Pattern Recognition, 2012
Proceedings of the 21st International Conference on Pattern Recognition, 2012
Proceedings of the 2012 IEEE International Conference on Acoustics, 2012
Proceedings of the 2012 IEEE International Conference on Acoustics, 2012
2011
IEEE Trans. Medical Imaging, 2011
IEEE Trans. Inf. Theory, 2011
Trans. Comput. Sci., 2011
CoRR, 2011
CoRR, 2011
CoRR, 2011
On tracking portfolios with certainty equivalents on a generalization of Markowitz model: the Fool, the Wise and the Adaptive.
Proceedings of the 28th International Conference on Machine Learning, 2011
Proceedings of the IEEE International Conference on Acoustics, 2011
Proceedings of the Advances Concepts for Intelligent Vision Systems, 2011
2010
Simplification and hierarchical representations of mixtures of exponential families.
Signal Process., 2010
Discret. Comput. Geom., 2010
CoRR, 2010
CoRR, 2010
Proceedings of the 11th International Workshop on Image Analysis for Multimedia Interactive Services, 2010
Reranking with Contextual Dissimilarity Measures from Representational Bregman kMeans.
Proceedings of the VISAPP 2010  Proceedings of the Fifth International Conference on Computer Vision Theory and Applications, Angers, France, May 1721, 2010, 2010
Proceedings of the Seventh International Symposium on Voronoi Diagrams in Science and Engineering, 2010
Proceedings of the 20th International Conference on Pattern Recognition, 2010
Proceedings of the 20th International Conference on Pattern Recognition, 2010
Proceedings of the International Conference on Image Processing, 2010
Knearest neighbor search: Fast GPUbased implementations and application to highdimensional feature matching.
Proceedings of the International Conference on Image Processing, 2010
Proceedings of the International Conference on Image Processing, 2010
Proceedings of the International Conference on Image Processing, 2010
Proceedings of the Prodeedings of the 2010 International Conference on Computational Science and Its Applications, 2010
Hierarchical Gaussian Mixture Model.
Proceedings of the IEEE International Conference on Acoustics, 2010
Proceedings of the Computer Vision, 2010
Proceedings of the TwentyThird IEEE Conference on Computer Vision and Pattern Recognition, 2010
Proceedings of the Computer Vision  ACCV 2010, 2010
2009
Undergraduate Topics in Computer Science, Springer, ISBN: 9781848823396, 2009
IEEE Trans. Inf. Theory, 2009
Soft memberships for spectral clustering, with application to permeable language distinction.
Pattern Recognit., 2009
IEEE Trans. Pattern Anal. Mach. Intell., 2009
Int. J. Comput. Geom. Appl., 2009
CoRR, 2009
CoRR, 2009
Commun. ACM, 2009
Searching HighDimensional Neighbours: CPUBased Tailored DataStructures Versus GPUBased BruteForce Method.
Proceedings of the Computer Vision/Computer Graphics Collaboration Techniques, 2009
Proceedings of the 2nd ACM SIGKDD Workshop on Data Mining using Matrices and Tensors, 2009
Proceedings of the Sixth International Symposium on Voronoi Diagrams, 2009
Proceedings of the 2009 IEEE International Conference on Multimedia and Expo, 2009
Proceedings of the 17th European Signal Processing Conference, 2009
Proceedings of the Computer Vision, 2009
2008
Inf. Process. Lett., 2008
CoRR, 2008
Proceedings of the Advances in Neural Information Processing Systems 21, 2008
Proceedings of the 2008 IEEE International Symposium on Information Theory, 2008
Proceedings of the 2008 IEEE International Symposium on Biomedical Imaging: From Nano to Macro, 2008
Proceedings of the 19th International Conference on Pattern Recognition (ICPR 2008), 2008
Proceedings of the 19th International Conference on Pattern Recognition (ICPR 2008), 2008
Proceedings of the Image Analysis and Recognition, 5th International Conference, 2008
Proceedings of the Emerging Trends in Visual Computing, 2008
Proceedings of the Emerging Trends in Visual Computing, 2008
Proceedings of the Emerging Trends in Visual Computing, 2008
2007
Theor. Comput. Sci., 2007
CoRR, 2007
CoRR, 2007
The Digital Chameleon Principle: Computing Invisibility by Rendering Transparency.
IEEE Computer Graphics and Applications, 2007
Artif. Intell., 2007
Proceedings of the Smart Graphics, 7th International Symposium, 2007
Proceedings of the IAPR Conference on Machine Vision Applications (IAPR MVA 2007), 2007
Proceedings of the IJCAI 2007, 2007
Proceedings of the 23rd ACM Symposium on Computational Geometry, 2007
2006
IEEE Trans. Pattern Anal. Mach. Intell., 2006
Proceedings of the Smart Graphics, 6th International Symposium, 2006
Autoframing: A Recommendation System for Detecting Undesirable Elements and Cropping Automatically Photos.
Proceedings of the 2006 IEEE International Conference on Multimedia and Expo, 2006
Soft Uncoupling of Markov Chains for Permeable Language Distinction: A New Algorithm.
Proceedings of the ECAI 2006, 17th European Conference on Artificial Intelligence, August 29, 2006
Proceedings of the 22nd ACM Symposium on Computational Geometry, 2006
2005
Vis. Comput., 2005
Pattern Recognit., 2005
Inf. Process. Lett., 2005
Proceedings of the 2005 Symposium on Interactive 3D Graphics, 2005
Proceedings of the 13th ACM International Conference on Multimedia, 2005
Proceedings of the Computer Vision in HumanComputer Interaction, 2005
Proceedings of the Computational Science, 2005
Proceedings of the Machine Learning: ECML 2005, 2005
Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 2005), 2005
2004
ACM Trans. Graph., 2004
On domainpartitioning induction criteria: worstcase bounds for the worstcase based.
Theor. Comput. Sci., 2004
IEEE Trans. Pattern Anal. Mach. Intell., 2004
Proceedings of the Fourth SIAM International Conference on Data Mining, 2004
Proceedings of the 17th International Conference on Pattern Recognition, 2004
Proceedings of the Computational Science and Its Applications, 2004
Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 2004), with CDROM, 27 June, 2004
Proceedings of the 16th Canadian Conference on Computational Geometry, 2004
2003
Int. J. Image Graph., 2003
Algorithmica, 2003
Proceedings of the Smart Graphics, Third International Symposium, 2003
Proceedings of the 2003 International Conference on Image Processing, 2003
Proceedings of the 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 2003), 2003
2002
Vis. Comput., 2002
Proceedings of the 2002 International Symposium on Information Technology (ITCC 2002), 2002
2001
Theor. Comput. Sci., 2001
Theor. Comput. Sci., 2001
Proceedings of the 22nd Annual Conference of the European Association for Computer Graphics, 2001
2000
Theor. Comput. Sci., 2000
Comput. Geom., 2000
Proceedings of the IAPR Conference on Machine Vision Applications (IAPR MVA 2000), 2000
Proceedings of the Algorithms and Computation, 11th International Conference, 2000
Shooter Location through Piercing Sets.
EuroCG, 2000
1999
Projecting computer graphics on moving surfaces: a simple calibration and tracking method.
Proceedings of the 26th Annual Conference on Computer Graphics and Interactive Techniques, 1999
1998
Int. J. Comput. Geom. Appl., 1998
Proceedings of IAPR Workshop on Machine Vision Applications, 1998
Proceedings of the Discrete and Computational Geometry, Japanese Conference, 1998
1996
PhD thesis, 1996
Inf. Process. Lett., 1996
Proceedings of the Twelfth Annual Symposium on Computational Geometry, 1996