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2020 – today
- 2020
[j54]Frank Nielsen
:
On a Generalization of the Jensen-Shannon Divergence and the Jensen-Shannon Centroid. Entropy 22(2): 221 (2020)- [j53]Frank Nielsen:
On Voronoi Diagrams on the Information-Geometric Cauchy Manifolds. Entropy 22(7): 713 (2020) - [j52]Frank Nielsen:
The Siegel-Klein Disk: Hilbert Geometry of the Siegel Disk Domain. Entropy 22(9): 1019 (2020) - [j51]Frank Nielsen:
An Elementary Introduction to Information Geometry. Entropy 22(10): 1100 (2020) - [j50]Gaëtan Hadjeres, Frank Nielsen:
Anticipation-RNN: enforcing unary constraints in sequence generation, with application to interactive music generation. Neural Comput. Appl. 32(4): 995-1005 (2020) - [c124]Nicolas Dupin, Frank Nielsen, El-Ghazali Talbi:
Clustering a 2d Pareto Front: P-center Problems Are Solvable in Polynomial Time. OLA 2020: 179-191 - [i77]Frank Nielsen:
A generalization of the α-divergences based on comparable and distinct weighted means. CoRR abs/2001.09660 (2020) - [i76]Gaëtan Hadjeres, Frank Nielsen:
Schoenberg-Rao distances: Entropy-based and geometry-aware statistical Hilbert distances. CoRR abs/2002.08345 (2020) - [i75]Frank Nielsen, Richard Nock:
Cumulant-free closed-form formulas for some common (dis)similarities between densities of an exponential family. CoRR abs/2003.02469 (2020) - [i74]Frank Nielsen:
A note on Onicescu's informational energy and correlation coefficient in exponential families. CoRR abs/2003.13199 (2020) - [i73]Frank Nielsen:
Hilbert geometry of the Siegel disk: The Siegel-Klein disk model. CoRR abs/2004.08160 (2020) - [i72]Frank Nielsen:
On Voronoi diagrams and dual Delaunay complexes on the information-geometric Cauchy manifolds. CoRR abs/2006.07020 (2020)
2010 – 2019
- 2019
- [j49]Frank Nielsen:
On the Jensen-Shannon Symmetrization of Distances Relying on Abstract Means. Entropy 21(5): 485 (2019) - [c123]Frank Nielsen, Richard Nock:
The Bregman Chord Divergence. GSI 2019: 299-308 - [c122]Erika Gomes-Gonçalves, Henryk Gzyl, Frank Nielsen:
Geometry and Fixed-Rate Quantization in Riemannian Metric Spaces Induced by Separable Bregman Divergences. GSI 2019: 351-358 - [c121]Frank Nielsen:
The Statistical Minkowski Distances: Closed-Form Formula for Gaussian Mixture Models. GSI 2019: 359-367 - [c120]Giorgio Patrini, Rianne van den Berg, Patrick Forré, Marcello Carioni, Samarth Bhargav, Max Welling, Tim Genewein, Frank Nielsen:
Sinkhorn AutoEncoders. UAI 2019: 253 - [c119]Nicolas Dupin, Frank Nielsen, El-Ghazali Talbi:
K-Medoids Clustering Is Solvable in Polynomial Time for a 2d Pareto Front. WCGO 2019: 790-799 - [e5]Frank Nielsen, Frédéric Barbaresco:
Geometric Science of Information - 4th International Conference, GSI 2019, Toulouse, France, August 27-29, 2019, Proceedings. Lecture Notes in Computer Science 11712, Springer 2019, ISBN 978-3-030-26979-1 [contents] - [i71]Frank Nielsen:
The statistical Minkowski distances: Closed-form formula for Gaussian Mixture Models. CoRR abs/1901.03732 (2019) - [i70]Frank Nielsen, Gaëtan Hadjeres:
On power chi expansions of f-divergences. CoRR abs/1903.05818 (2019) - [i69]Frank Nielsen:
On a generalization of the Jensen-Shannon divergence and the JS-symmetrization of distances relying on abstract means. CoRR abs/1904.04017 (2019) - [i68]Frank Nielsen:
On the Kullback-Leibler divergence between location-scale densities. CoRR abs/1904.10428 (2019) - [i67]Frédéric Chyzak, Frank Nielsen:
A closed-form formula for the Kullback-Leibler divergence between Cauchy distributions. CoRR abs/1905.10965 (2019) - [i66]Ke Sun, Frank Nielsen:
Lightlike Neuromanifolds, Occam's Razor and Deep Learning. CoRR abs/1905.11027 (2019) - [i65]Nicolas Dupin, Frank Nielsen, El-Ghazali Talbi:
Planar p-center problems are solvable in polynomial time when clustering a Pareto Front. CoRR abs/1908.09648 (2019) - [i64]Frank Nielsen, Gaëtan Hadjeres:
A note on the quasiconvex Jensen divergences and the quasiconvex Bregman divergences derived thereof. CoRR abs/1909.08857 (2019) - [i63]Frank Nielsen:
On geodesic triangles with right angles in a dually flat space. CoRR abs/1910.03935 (2019) - [i62]Ke Sun, Frank Nielsen:
Information-Geometric Set Embeddings (IGSE): From Sets to Probability Distributions. CoRR abs/1911.12463 (2019) - [i61]Frank Nielsen:
On a generalization of the Jensen-Shannon divergence. CoRR abs/1912.00610 (2019) - 2018
- [j48]Gia-Thuy Pham, Rémy Boyer, Frank Nielsen:
Computational Information Geometry for Binary Classification of High-Dimensional Random Tensors. Entropy 20(3): 203 (2018) - [c118]Maria S. Greco, Rémy Boyer, Frank Nielsen:
On the Angular Resolution Limit Uncertainty. EUSIPCO 2018: 623-626 - [c117]Frank Nielsen:
The Chord Gap Divergence and a Generalization of the Bhattacharyya Distance. ICASSP 2018: 2276-2280 - [c116]Frank Nielsen, Richard Nock:
On the Geometry of Mixtures of Prescribed Distributions. ICASSP 2018: 2861-2865 - [c115]Frank Nielsen, Ke Sun:
Guaranteed Deterministic Bounds on the total variation Distance between univariate mixtures. MLSP 2018: 1-6 - [i60]Frank Nielsen, Gaëtan Hadjeres:
Monte Carlo Information Geometry: The dually flat case. CoRR abs/1803.07225 (2018) - [i59]Frank Nielsen, Ke Sun:
q-Neurons: Neuron Activations based on Stochastic Jackson's Derivative Operators. CoRR abs/1806.00149 (2018) - [i58]Frank Nielsen, Ke Sun:
Guaranteed Deterministic Bounds on the Total Variation Distance between Univariate Mixtures. CoRR abs/1806.11311 (2018) - [i57]Frank Nielsen:
An elementary introduction to information geometry. CoRR abs/1808.08271 (2018) - [i56]Giorgio Patrini, Marcello Carioni, Patrick Forré, Samarth Bhargav, Max Welling, Rianne van den Berg, Tim Genewein, Frank Nielsen:
Sinkhorn AutoEncoders. CoRR abs/1810.01118 (2018) - [i55]Frank Nielsen, Richard Nock:
The Bregman chord divergence. CoRR abs/1810.09113 (2018) - [i54]Erika Gomes-Gonçalves, Henryk Gzyl, Frank Nielsen:
Geometry and clustering with metrics derived from separable Bregman divergences. CoRR abs/1810.10770 (2018) - [i53]Frank Nielsen, Ke Sun:
On The Chain Rule Optimal Transport Distance. CoRR abs/1812.08113 (2018) - 2017
- [j47]Frank Nielsen, Ke Sun, Stéphane Marchand-Maillet:
On Hölder Projective Divergences. Entropy 19(3): 122 (2017) - [j46]Frank Nielsen, Richard Nock:
MaxEnt Upper Bounds for the Differential Entropy of Univariate Continuous Distributions. IEEE Signal Process. Lett. 24(4): 402-406 (2017) - [j45]Frank Nielsen, Richard Nock:
Generalizing Skew Jensen Divergences and Bregman Divergences With Comparative Convexity. IEEE Signal Process. Lett. 24(8): 1123-1127 (2017) - [c114]Boris Muzellec, Richard Nock, Giorgio Patrini, Frank Nielsen:
Tsallis Regularized Optimal Transport and Ecological Inference. AAAI 2017: 2387-2393 - [c113]Frank Nielsen, Laëtitia Shao:
On Balls in a Hilbert Polygonal Geometry (Multimedia Contribution). Symposium on Computational Geometry 2017: 67:1-67:4 - [c112]Frank Nielsen, Richard Nock:
Bregman Divergences from Comparative Convexity. GSI 2017: 639-647 - [c111]Rémy Boyer, Frank Nielsen:
On the Error Exponent of a Random Tensor with Orthonormal Factor Matrices. GSI 2017: 657-664 - [c110]Frank Nielsen, Ke Sun, Stéphane Marchand-Maillet:
k-Means Clustering with Hölder Divergences. GSI 2017: 856-863 - [c109]Rémy Boyer, Frank Nielsen:
Information geometry metric for random signal detection in large random sensing systems. ICASSP 2017: 4471-4475 - [c108]Frank Nielsen, Ke Sun:
Combinatorial bounds on the α-divergence of univariate mixture models. ICASSP 2017: 4476-4480 - [c107]Gaëtan Hadjeres, François Pachet, Frank Nielsen:
DeepBach: a Steerable Model for Bach Chorales Generation. ICML 2017: 1362-1371 - [c106]Ke Sun, Frank Nielsen:
Relative Fisher Information and Natural Gradient for Learning Large Modular Models. ICML 2017: 3289-3298 - [c105]Gaëtan Hadjeres, Frank Nielsen, François Pachet:
GLSR-VAE: Geodesic latent space regularization for variational autoencoder architectures. SSCI 2017: 1-7 - [e4]Frank Nielsen, Frédéric Barbaresco:
Geometric Science of Information - Third International Conference, GSI 2017, Paris, France, November 7-9, 2017, Proceedings. Lecture Notes in Computer Science 10589, Springer 2017, ISBN 978-3-319-68444-4 [contents] - [i52]Frank Nielsen, Ke Sun, Stéphane Marchand-Maillet:
On Hölder projective divergences. CoRR abs/1701.03916 (2017) - [i51]Frank Nielsen, Richard Nock:
Generalizing Jensen and Bregman divergences with comparative convexity and the statistical Bhattacharyya distances with comparable means. CoRR abs/1702.04877 (2017) - [i50]Frank Nielsen, Ke Sun:
Clustering in Hilbert simplex geometry. CoRR abs/1704.00454 (2017) - [i49]Richard Nock, Frank Nielsen:
Distribution-free Evolvability of Vector Spaces: All it takes is a Generating Set. CoRR abs/1704.02708 (2017) - [i48]Gaëtan Hadjeres, Frank Nielsen, François Pachet:
GLSR-VAE: Geodesic Latent Space Regularization for Variational AutoEncoder Architectures. CoRR abs/1707.04588 (2017) - [i47]Frank Nielsen, Richard Nock:
On w-mixtures: Finite convex combinations of prescribed component distributions. CoRR abs/1708.00568 (2017) - [i46]Gaëtan Hadjeres, Frank Nielsen:
Deep rank-based transposition-invariant distances on musical sequences. CoRR abs/1709.00740 (2017) - [i45]Gaëtan Hadjeres, Frank Nielsen:
Interactive Music Generation with Positional Constraints using Anticipation-RNNs. CoRR abs/1709.06404 (2017) - [i44]Frank Nielsen:
A generalization of the Jensen divergence: The chord gap divergence. CoRR abs/1709.10498 (2017) - 2016
- [b3]Frank Nielsen:
Introduction to HPC with MPI for Data Science. Undergraduate Topics in Computer Science, Springer 2016, ISBN 978-3-319-21902-8, pp. 3-259 - [j44]Frank Nielsen, Ke Sun:
Guaranteed Bounds on Information-Theoretic Measures of Univariate Mixtures Using Piecewise Log-Sum-Exp Inequalities. Entropy 18(12): 442 (2016) - [j43]Frank Nielsen, Ke Sun:
Guaranteed Bounds on the Kullback-Leibler Divergence of Univariate Mixtures. IEEE Signal Process. Lett. 23(11): 1543-1546 (2016) - [j42]Richard Nock, Frank Nielsen, Shun-ichi Amari:
On Conformal Divergences and Their Population Minimizers. IEEE Trans. Inf. Theory 62(1): 527-538 (2016) - [c104]Gautier Marti, Frank Nielsen, Philippe Donnat:
Optimal copula transport for clustering multivariate time series. ICASSP 2016: 2379-2383 - [c103]Olivier Schwander, Stéphane Marchand-Maillet, Frank Nielsen:
Comix: Joint estimation and lightspeed comparison of mixture models. ICASSP 2016: 2449-2453 - [c102]Frank Nielsen, Boris Muzellec, Richard Nock:
Classification with mixtures of curved mahalanobis metrics. ICIP 2016: 241-245 - [c101]Junlin Yao, Frank Nielsen:
SSSC-AM: A unified framework for video co-segmentation by structured sparse subspace clustering with appearance and motion features. ICIP 2016: 3957-3961 - [c100]Richard Nock, Raphaël Canyasse, Roksana Boreli, Frank Nielsen:
k-variates++: more pluses in the k-means++. ICML 2016: 145-154 - [c99]Giorgio Patrini, Frank Nielsen, Richard Nock, Marcello Carioni:
Loss factorization, weakly supervised learning and label noise robustness. ICML 2016: 708-717 - [c98]Gautier Marti, Sébastien Andler, Frank Nielsen, Philippe Donnat:
Clustering Financial Time Series: How Long Is Enough?. IJCAI 2016: 2583-2589 - [c97]Gautier Marti, Sébastien Andler, Frank Nielsen, Philippe Donnat:
Exploring and measuring non-linear correlations: Copulas, Lightspeed Transportation and Clustering. NIPS Time Series Workshop 2016: 59-69 - [c96]Stéphane Marchand-Maillet, Edgar Roman-Rangel, Hisham Mohamed, Frank Nielsen:
Quantifying the Invariance and Robustness of Permutation-Based Indexing Schemes. SISAP 2016: 79-92 - [c95]Frank Nielsen, Richard Nock:
Patch Matching with Polynomial Exponential Families and Projective Divergences. SISAP 2016: 109-116 - [c94]Gautier Marti, Sébastien Andler, Frank Nielsen, Philippe Donnat:
Optimal transport vs. Fisher-Rao distance between copulas for clustering multivariate time series. SSP 2016: 1-5 - [i43]Richard Nock, Raphaël Canyasse, Roksana Boreli, Frank Nielsen:
k-variates++: more pluses in the k-means++. CoRR abs/1602.01198 (2016) - [i42]Frank Nielsen:
Image and Information. CoRR abs/1602.01228 (2016) - [i41]Giorgio Patrini, Frank Nielsen, Richard Nock, Marcello Carioni:
Loss factorization, weakly supervised learning and label noise robustness. CoRR abs/1602.02450 (2016) - [i40]Junlin Yao, Frank Nielsen:
SSSC-AM: A Unified Framework for Video Co-Segmentation by Structured Sparse Subspace Clustering with Appearance and Motion Features. CoRR abs/1603.04139 (2016) - [i39]Frank Nielsen, Richard Nock:
Fast $(1+ε)$-approximation of the Löwner extremal matrices of high-dimensional symmetric matrices. CoRR abs/1604.01592 (2016) - [i38]Frank Nielsen, Ke Sun:
Guaranteed bounds on the Kullback-Leibler divergence of univariate mixtures using piecewise log-sum-exp inequalities. CoRR abs/1606.05850 (2016) - [i37]Ke Sun, Frank Nielsen:
Relative Natural Gradient for Learning Large Complex Models. CoRR abs/1606.06069 (2016) - [i36]Boris Muzellec, Richard Nock, Giorgio Patrini, Frank Nielsen:
Tsallis Regularized Optimal Transport and Ecological Inference. CoRR abs/1609.04495 (2016) - [i35]Frank Nielsen, Boris Muzellec, Richard Nock:
Large Margin Nearest Neighbor Classification using Curved Mahalanobis Distances. CoRR abs/1609.07082 (2016) - [i34]Frank Nielsen, Richard Nock:
A series of maximum entropy upper bounds of the differential entropy. CoRR abs/1612.02954 (2016) - 2015
- [j41]Richard Nock, Wafa Bel Haj Ali, Roberto D'Ambrosio, Frank Nielsen, Michel Barlaud:
Gentle Nearest Neighbors Boosting over Proper Scoring Rules. IEEE Trans. Pattern Anal. Mach. Intell. 37(1): 80-93 (2015) - [c93]Christophe Saint-Jean, Frank Nielsen:
Online k-MLE for Mixture Modeling with Exponential Families. GSI 2015: 340-348 - [c92]Olivier Schwander, Frank Nielsen:
Bag-of-Components: An Online Algorithm for Batch Learning of Mixture Models. GSI 2015: 387-395 - [c91]Frank Nielsen, Gaëtan Hadjeres:
Approximating Covering and Minimum Enclosing Balls in Hyperbolic Geometry. GSI 2015: 586-594 - [c90]Gautier Marti, Frank Nielsen, Philippe Very, Philippe Donnat:
Clustering Random Walk Time Series. GSI 2015: 675-684 - [c89]Frank Nielsen, Richard Nock:
Total Jensen divergences: Definition, properties and clustering. ICASSP 2015: 2016-2020 - [c88]Gautier Marti, Philippe Very, Philippe Donnat, Frank Nielsen:
A Proposal of a Methodological Framework with Experimental Guidelines to Investigate Clustering Stability on Financial Time Series. ICMLA 2015: 32-37 - [e3]Frank Nielsen, Frédéric Barbaresco:
Geometric Science of Information - Second International Conference, GSI 2015, Palaiseau, France, October 28-30, 2015, Proceedings. Lecture Notes in Computer Science 9389, Springer 2015, ISBN 978-3-319-25039-7 [contents] - [i33]Gautier Marti, Frank Nielsen, Philippe Very, Philippe Donnat:
Comment partitionner automatiquement des marches aléatoires ? Avec application à la finance quantitative. CoRR abs/1506.09163 (2015) - [i32]Gautier Marti, Philippe Donnat, Frank Nielsen, Philippe Very:
HCMapper: An interactive visualization tool to compare partition-based flat clustering extracted from pairs of dendrograms. CoRR abs/1507.08137 (2015) - [i31]Gautier Marti, Philippe Very, Philippe Donnat, Frank Nielsen:
A proposal of a methodological framework with experimental guidelines to investigate clustering stability on financial time series. CoRR abs/1509.05475 (2015) - [i30]Gautier Marti, Frank Nielsen, Philippe Donnat:
Optimal Copula Transport for Clustering Multivariate Time Series. CoRR abs/1509.08144 (2015) - 2014
- [j40]Frank Nielsen, Richard Nock, Shun-ichi Amari:
On Clustering Histograms with k-Means by Using Mixed α-Divergences. Entropy 16(6): 3273-3301 (2014) - [j39]Frank Nielsen:
Generalized Bhattacharyya and Chernoff upper bounds on Bayes error using quasi-arithmetic means. Pattern Recognit. Lett. 42: 25-34 (2014) - [j38]Frank Nielsen, Richard Nock:
On the Chi Square and Higher-Order Chi Distances for Approximating $f$ -Divergences. IEEE Signal Process. Lett. 21(1): 10-13 (2014) - [j37]Frank Nielsen, Richard Nock:
Optimal Interval Clustering: Application to Bregman Clustering and Statistical Mixture Learning. IEEE Signal Process. Lett. 21(10): 1289-1292 (2014) - [c87]Frank Nielsen, Richard Nock:
Visualizing hyperbolic Voronoi diagrams. Symposium on Computational Geometry 2014: 90 - [i29]Frank Nielsen:
Generalized Bhattacharyya and Chernoff upper bounds on Bayes error using quasi-arithmetic means. CoRR abs/1401.4788 (2014) - [i28]Frank Nielsen, Richard Nock:
A note on the optimal scalar Bregman k-means clustering with an application to learning best statistical mixtures. CoRR abs/1403.2485 (2014) - [i27]Frank Nielsen, Richard Nock:
Further heuristics for $k$-means: The merge-and-split heuristic and the $(k, l)$-means. CoRR abs/1406.6314 (2014) - [i26]Frank Nielsen, Richard Nock:
Further results on the hyperbolic Voronoi diagrams. CoRR abs/1410.1036 (2014) - 2013
- [j36]Marc Arnaudon, Frank Nielsen:
On approximating the Riemannian 1-center. Comput. Geom. 46(1): 93-104 (2013) - [j35]Frank Nielsen:
An Information-Geometric Characterization of Chernoff Information. IEEE Signal Process. Lett. 20(3): 269-272 (2013) - [j34]Frank Nielsen:
Jeffreys Centroids: A Closed-Form Expression for Positive Histograms and a Guaranteed Tight Approximation for Frequency Histograms. IEEE Signal Process. Lett. 20(7): 657-660 (2013) - [c86]Frank Nielsen, Richard Nock:
Consensus Region Merging for Image Segmentation. ACPR 2013: 325-329 - [c85]Frank Nielsen:
Hypothesis Testing, Information Divergence and Computational Geometry. GSI 2013: 241-248 - [c84]Christophe Saint-Jean, Frank Nielsen:
A New Implementation of k-MLE for Mixture Modeling of Wishart Distributions. GSI 2013: 249-256 - [c83]Richard Nock, Frank Nielsen, Eric Briys:
Non-linear book manifolds: learning from associations the dynamic geometry of digital libraries. JCDL 2013: 313-322 - [c82]Frank Nielsen:
Perspective click-and-drag area selections in pictures. MVA 2013: 29-32 - [c81]Richard Nock, Frank Nielsen:
Information-geometric lenses for multiple foci+contexts interfaces. SIGGRAPH ASIA Technical Briefs 2013: 18:1-18:4 - [c80]Frank Nielsen:
Pattern Learning and Recognition on Statistical Manifolds: An Information-Geometric Review. SIMBAD 2013: 1-25 - [c79]Olivier Schwander, Frank Nielsen:
Fast Learning of Gamma Mixture Models with k-MLE. SIMBAD 2013: 235-249 - [e2]Frank Nielsen, Frédéric Barbaresco:
Geometric Science of Information - First International Conference, GSI 2013, Paris, France, August 28-30, 2013. Proceedings. Lecture Notes in Computer Science 8085, Springer 2013, ISBN 978-3-642-40019-3 [contents] - [i25]Frank Nielsen:
Cramer-Rao Lower Bound and Information Geometry. CoRR abs/1301.3578 (2013) - [i24]Frank Nielsen:
On the symmetrical Kullback-Leibler Jeffreys centroids. CoRR abs/1303.7286 (2013) - [i23]Frank Nielsen:
Logging safely in public spaces using color PINs. CoRR abs/1304.6499 (2013) - [i22]Frank Nielsen, Richard Nock:
On the Chi square and higher-order Chi distances for approximating f-divergences. CoRR abs/1309.3029 (2013) - [i21]Frank Nielsen, Richard Nock:
Total Jensen divergences: Definition, Properties and k-Means++ Clustering. CoRR abs/1309.7109 (2013) - [i20]Richard Nock, Frank Nielsen, Shun-ichi Amari:
On conformal divergences and their population minimizers. CoRR abs/1311.5125 (2013) - 2012
- [j33]Richard Nock, Paolo Piro, Frank Nielsen, Wafa Bel Haj Ali, Michel Barlaud:
Boosting k-NN for Categorization of Natural Scenes. Int. J. Comput. Vis. 100(3): 294-314 (2012) - [j32]