Bregman divergences: Perspectives and generalizations

• symmetrized Bregman divergence/symmetrized Fenchel-Young divergence:
  
  • "Sided and symmetrized Bregman centroids." IEEE transactions on Information Theory 55.6 (2009): 2882-2904.
• representational Bregman divergence:
  
  • 2504.05654
  • "The dual Voronoi diagrams with respect to representational Bregman divergences." 2009 Sixth International Symposium on Voronoi Diagrams. IEEE, 2009.
  • "Variational representations of annealing paths: Bregman information under monotonic embedding." Information Geometry 7.1 (2024): 193-228.
• curved Bregman divergence:
  
  • 2504.05654
• total Bregman divergence:
  
  • "Total Bregman divergence and its applications to DTI analysis." IEEE Transactions on medical imaging 30.2 (2010): 475-483.
  • "Total Bregman divergence and its applications to shape retrieval." 2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. IEEE, 2010.
• conformal Bregman divergence:
  
  • "On conformal divergences and their population minimizers." IEEE Transactions on Information Theory 62.1 (2015): 527-538.
• duo pseudo-Bregman divergence:
  
  • "Statistical divergences between densities of truncated exponential families with nested supports: Duo Bregman and duo Jensen divergences." Entropy 24.3 (2022): 421.
• matrix Bregman divergence:
  
  • "Mining matrix data with Bregman matrix divergences for portfolio selection." Matrix Information Geometry. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. 373-402.
• comparative Bregman divergence:
  
  • "Generalizing skew Jensen divergences and Bregman divergences with comparative convexity." IEEE Signal Processing Letters 24.8 (2017): 1123-1127.
• chord Bregman divergence:
  
  • "The Bregman chord divergence." Geometric Science of Information: 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings 4. Springer International Publishing, 2019.
• tangent Bregman divergence:
  
  • "The Bregman chord divergence." Geometric Science of Information: 4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings 4. Springer International Publishing, 2019.
• Bregman-Chernoff divergence:
  
  • "Revisiting Chernoff information with likelihood ratio exponential families." Entropy 24.10 (2022): 1400.
• Jensen-Bregman divergence:
  
  • "Jensen-Bregman Voronoi diagrams and centroidal tessellations." 2010 International Symposium on Voronoi Diagrams in Science and Engineering. IEEE, 2010.
• symplectic Bregman divergence:
  • "Symplectic Bregman Divergences." Entropy 26.12 (2024): 1101.
• quasi-convex Bregman divergence:
  • "Quasiconvex Jensen Divergences and Quasiconvex Bregman Divergences." Workshop on Joint Structures and Common Foundations of Statistical Physics, Information Geometry and Inference for Learning. Cham: Springer International Publishing, 2020.