Preprints
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Frank Nielsen, Gaëtan Hadjeres:
Schoenberg-Rao distances: Entropy-based and geometry-aware
statistical Hilbert distances. CoRR abs/2002.08345 (2020)
- Frank Nielsen:
A generalization of the α-divergences based on comparable and distinct weighted means. CoRR abs/2001.09660 (2020)
- Frank Nielsen, Gaëtan Hadjeres:
On power chi expansions of f-divergences. CoRR abs/1903.05818 (2019)
- Frank Nielsen:
On the Kullback-Leibler divergence between location-scale densities. CoRR abs/1904.10428 (2019)
- Frédéric Chyzak, Frank Nielsen:
A closed-form formula for the Kullback-Leibler divergence
between Cauchy distributions. CoRR abs/1905.10965 (2019)
- Ke Sun, Frank Nielsen:
Lightlike Neuromanifolds, Occam's Razor and Deep Learning. CoRR abs/1905.11027 (2019)
- Frank Nielsen, Gaëtan Hadjeres:
A note on the quasiconvex
Jensen divergences and the quasiconvex Bregman divergences derived thereof. CoRR abs/1909.08857 (2019)
- Frank Nielsen:
On geodesic triangles with right angles in a dually flat space. CoRR abs/1910.03935 (2019)
- Ke Sun, Frank Nielsen:
Information-Geometric Set Embeddings (IGSE):
From Sets to Probability Distributions. CoRR abs/1911.12463 (2019)
- Frank Nielsen, Ke Sun:
q-Neurons: Neuron Activations based on Stochastic Jackson's Derivative Operators. CoRR abs/1806.00149 (2018)
- Frank Nielsen:
An elementary introduction to information geometry. CoRR abs/1808.08271 (2018)
- Frank Nielsen, Ke Sun:
On The Chain Rule Optimal Transport Distance. CoRR abs/1812.08113 (2018)
- Richard Nock, Frank Nielsen:
Distribution-free Evolvability of Vector Spaces:
All it takes is a Generating Set. CoRR abs/1704.02708 (2017)
- Gaëtan Hadjeres, Frank Nielsen:
Deep rank-based transposition-invariant distances on musical sequences. CoRR abs/1709.00740 (2017)
- Frank Nielsen:
Image and Information. CoRR abs/1602.01228 (2016)
- 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)
- Frank Nielsen, Richard Nock:
Further heuristics for $k$-means: The merge-and-split heuristic
and the $(k, l)$-means. CoRR abs/1406.6314 (2014)
- Frank Nielsen, Richard Nock:
Further results on the hyperbolic Voronoi diagrams. CoRR abs/1410.1036 (2014)
2013
- Frank Nielsen, Richard Nock: Logging safely in public spaces using color PINs. CoRR abs/1304.6499 (2013)
- Frank Nielsen, Richard Nock:
The hyperbolic Voronoi diagram in arbitrary dimension. CoRR abs/1210.8234 (2012)
- Frank Nielsen, Richard Nock:
On Rényi and Tsallis entropies and divergences for exponential families. CoRR abs/1105.3259 (2011)
- Frank Nielsen:
A family of statistical symmetric divergences based on Jensen's inequality. CoRR abs/1009.4004 (2010)
- Richard Nock, Brice Magdalou, Nicolas Sanz, Eric Briys, Fred Celimene, Frank Nielsen:
Information geometries and Microeconomic Theories. CoRR abs/0901.2586 (2009)
- Frank Nielsen, Vincent Garcia:
Statistical exponential families: A digest with flash cards. CoRR abs/0911.4863 (2009)
2008
- Richard Nock, Nicolas Sanz, Fred Celimene, Frank Nielsen:
Staring at Economic Aggregators through Information Lenses. CoRR abs/0801.0390 (2008)