Fetching the paper…
Reading the bibliography…
We introduce a compositional framework for convex analysis based on the notion of convex bifunction of Rockafellar.
Cramér, H.: Sur un nouveau theoreme-limite de la theorie des probabilities. Scientifiques et Industrielles 736
1938
Earlier work this paper cites.
JAMES, A.: The variance information manifold and the functions on it. In: Multivariate Analysis–III, pp. 157–169. Academic Press (1973). https://doi.org/https://doi.org/10.1016/B978-0-12-426653-7.50016-8, https://www.sciencedirect.com/science/article/pii/B9780124266537500168
1973
Earlier work this paper cites.
Rockafellar, R.T.: Convex Analysis, vol. 11. Princeton University Press (1997)
1997
Earlier work this paper cites.
Puhalskii, A.: Large deviations and idempotent probability. CRC Press (2001)
2001
Earlier work this paper cites.
MacKay, D.J.: Information theory, inference and learning algorithms. Cambridge university press (2003)
2003
Earlier work this paper cites.
Touchette, H.: Legendre-fenchel transforms in a nutshell. Unpublished Report (Queen Mary University of London) (2005)
2005
Earlier work this paper cites.
Butler, R.W.: Saddlepoint approximations with applications, vol. 22. Cambridge University Press (2007)
2007
Earlier work this paper cites.
Friston, K., Mattout, J., Trujillo-Barreto, N., Ashburner, J., Penny, W.: Variational free energy and the laplace approximation. Neuroimage 34
2007
Earlier work this paper cites.
Litvinov, G.L.: Maslov dequantization, idempotent and tropical mathematics: A brief introduction. Journal of Mathematical Sciences 140
2007
Earlier work this paper cites.
Selinger, P.: Dagger compact closed categories and completely positive maps. Electronic Notes in Theoretical computer science 170
2007
Earlier work this paper cites.
Friston, K., Kiebel, S.: Predictive coding under the free-energy principle. Philosophical transactions of the Royal Society B: Biological sciences 364
2009
Earlier work this paper cites.
Selinger, P.: A Survey of Graphical Languages for Monoidal Categories, pp. 289–355. Springer Berlin Heidelberg, Berlin, Heidelberg (2011). https://doi.org/10.1007/978-3-642-12821-9_4
2011
Earlier work this paper cites.
Willems, J.C.: Constrained probability. In: 2012 IEEE International Symposium on Information Theory Proceedings. pp. 1049–1053 (2012). https://doi.org/10.1109/ISIT.2012.6283011
2012
Earlier work this paper cites.
Willems, J.C.: Open stochastic systems. IEEE Transactions on Automatic Control 58
2012
Cited alongside, same era.
Bonchi, F., Sobociński, P., Zanasi, F.: A categorical semantics of signal flow graphs. In: CONCUR 2014–Concurrency Theory: 25th International Conference, CONCUR 2014, Rome, Italy, September 2-5, 2014. Proceedings 25. pp. 435–450. Springer (2014)
2014
Cited alongside, same era.
Baez, J.C., Erbele, J.: Categories in control. Theory Appl. Categ. 30
2015
Cited alongside, same era.
2015
Cited alongside, same era.
Bonchi, F., Sobocinski, P., Zanasi, F.: The calculus of signal flow diagrams I: linear relations on streams. Inform. Comput. 252
2017
Cited alongside, same era.
Bonchi, F., Piedeleu, R., Sobocinski, P., Zanasi, F.: Graphical affine algebra. In: Proc. LICS 2019 (2019)
2019
Later among the works it cites.
Cho, K., Jacobs, B.: Disintegration and Bayesian inversion via string diagrams. Mathematical Structures in Computer Science 29
2019
Later among the works it cites.
Fong, B., Spivak, D.I.: Hypergraph categories. Journal of Pure and Applied Algebra 223
2019
Later among the works it cites.
Fujii, S.: A categorical approach to l-convexity. arXiv preprint arXiv:1904.08413 (2019)
2019
Later among the works it cites.
Fritz, T.: A synthetic approach to markov kernels, conditional independence and theorems on sufficient statistics. Advances in Mathematics 370
2020
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Bonchi, F., Sobociński, P., Zanasi, F.: Interacting Hopf algebras. Journal of Pure and Applied Algebra 221
2017
Cited alongside, same era.
2017
Cited alongside, same era.
Zajkowski, K.: A variational formula on the cramér function of series of independent random variables. Positivity 21
2017
Cited alongside, same era.
Baez, J.C., Coya, B., Rebro, F.: Props in network theory (2018)
2018
Cited alongside, same era.
Coecke, B., Genovese, F., Lewis, M., Marsden, D., Toumi, A.: Generalized relations in linguistics & cognition. Theoretical Computer Science 752
2018
Cited alongside, same era.
McCullagh, P.: Tensor methods in statistics. Courier Dover Publications (2018)
2018
Cited alongside, same era.
Bolt, J., Coecke, B., Genovese, F., Lewis, M., Marsden, D., Piedeleu, R.: Interacting conceptual spaces i: Grammatical composition of concepts. Conceptual spaces: Elaborations and applications pp. 151–181 (2019)
2019
Cited alongside, same era.
Bonchi, F., Di Giorgio, A., Sobociński, P.: Diagrammatic Polyhedral Algebra. In: Bojańczyk, M., Chekuri, C. (eds.) 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021). Leibniz International Proceedings in Informatics (LIPIcs), vol. 213, pp. 40:1–40:18. Schloss Dagstuhl – Leibniz-Zentrum für Informatik, Dagstuhl, Germany (2021). https://doi.org/10.4230/LIPIcs.FSTTCS.2021.40, https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2021.40
2021
Later among the works it cites.
Bonchi, F., Di Giorgio, A., Zanasi, F.: From Farkas’ Lemma to Linear Programming: an Exercise in Diagrammatic Algebra. In: Gadducci, F., Silva, A. (eds.) 9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021). Leibniz International Proceedings in Informatics (LIPIcs), vol. 211, pp. 9:1–9:19. Schloss Dagstuhl – Leibniz-Zentrum für Informatik, Dagstuhl, Germany (2021). https://doi.org/10.4230/LIPIcs.CALCO.2021.9, https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2021.9
2021
Later among the works it cites.
Stein, D.: Structural foundations for probabilistic programming languages. University of Oxford (2021)
2021
Later among the works it cites.
Stein, D., Staton, S.: Compositional semantics for probabilistic programs with exact conditioning. In: 2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS). pp. 1–13. IEEE (2021)
2021
Later among the works it cites.
Paixão, J., Rufino, L., Sobociński, P.: High-level axioms for graphical linear algebra. Science of Computer Programming 218
2022
Later among the works it cites.
2023
Closest in time.
Stein, D., Samuelson, R.: A category for unifying gaussian probability and nondeterminism. In: 10th Conference on Algebra and Coalgebra in Computer Science (CALCO 2023). Schloss Dagstuhl-Leibniz-Zentrum für Informatik (2023)
2023
Closest in time.