Publications (reverse chronological order)

• April 2021-March 2022:
  • Proceedings and Edited book
    • Frank Nielsen, Arni Srinivasa Rao, C.R. Rao: Handbook of Statistics, Volume 46: Geometry and Statistics, July 2022.
    • Frédéric Barbaresco, Frank Nielsen: Geometric Structures of Statistical Physics, Information Geometry, and Learning - SPIGL'20, Les Houches, France, July 27-31. Springer 2021, ISBN 978-3-030-77956-6
    • Frank Nielsen, Frédéric Barbaresco: Geometric Science of Information - 5th International Conference, GSI 2021, Paris, France, July 21-23, 2021, Proceedings. Lecture Notes in Computer Science 12829, Springer 2021, ISBN 978-3-030-80208-0
  • Chapter
    • Frank Nielsen, Gaetan Hadjeres: Quasiconvex Jensen Divergences and Quasiconvex Bregman Divergences. In Workshop on Joint Structures and Common Foundations of Statistical Physics, Information Geometry and Inference for Learning (pp. 196-218). Springer.
  • Journals
    • Frank Nielsen: Statistical divergences between densities of truncated exponential families with nested supports: Duo Bregman and duo Jensen divergences, Entropy 2022, 24(3)
    • Frank Nielsen: Onicescu’s Informational Energy and Correlation Coefficient in Exponential Families, Foundations 2022, 2(2), 362-376
    • Frank Nielsen: The Kullback–Leibler Divergence Between Lattice Gaussian Distributions, Journal of the Indian Institute of Science (2022): 1-12.
    • Frank Nielsen: On a Variational Definition for the Jensen-Shannon Symmetrization of Distances Based on the Information Radius. Entropy 23(4): 464 (2021)
    • Frank Nielsen: Fast Approximations of the Jeffreys Divergence between Univariate Gaussian Mixtures via Mixture Conversions to Exponential-Polynomial Distributions. Entropy 23(11): 1417 (2021)
    • Frank Nielsen, Ke Sun: Q-neurons: Neuron activations based on stochastic Jackson’s derivative operators. IEEE Transactions on Neural Networks and Learning Systems 32, no. 6 (2020): 2782-2789.
  • Conferences
    • Gautier Marti, Victor Goubet, Frank Nielsen: cCorrGAN: Conditional Correlation GAN for Learning Empirical Conditional Distributions in the Elliptope. Geometric Science of Information (GSI) 2021: 613-620
    • Frank Nielsen, Richard Nock: Computing Statistical Divergences with Sigma Points. Geometric Science of Information (GSI) 2021: 677-684
    • Yann Cabanes, Frank Nielsen: Classification in the Siegel Space for Vectorial Autoregressive Data. Geometric Science of Information (GSI) 2021: 693-700
    • Frank Nielsen, Kazuki Okamura: On f-divergences Between Cauchy Distributions. Geometric Science of Information (GSI) 2021: 799-807
    • Wu Lin, Frank Nielsen, Mohammad Emtiyaz Khan, Mark Schmidt: Tractable structured natural-gradient descent using local parameterizations. International conference on Machine Learning (ICML 2021): 6680-6691
    • Vaden Masrani, Rob Brekelmans, Thang Bui, Frank Nielsen, Aram Galstyan, Greg Ver Steeg, Frank Wood: q-Paths: Generalizing the geometric annealing path using power means. Uncertainty in Artificial Intelligence (UAI) 2021: 1938-1947
• March 2021 and older