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Publications of A. V. Proskurnikov
Articles in journal, book chapters
  1. A. Davydov, S. Jafarpour, A. V. Proskurnikov, and F. Bullo. Non-Euclidean Monotone Operator Theory and Applications. Journal of Machine Learning Research, June 2023. Note: Submitted. Keyword(s): Contraction Theory, Neural Networks. [bibtex-entry]


  2. A. Davydov, A. V. Proskurnikov, and F. Bullo. Non-Euclidean Contraction Analysis of Continuous-Time Neural Networks. IEEE Transactions on Automatic Control, August 2023. Note: Submitted. Keyword(s): Contraction Theory, Neural Networks. [bibtex-entry]


  3. A. V. Proskurnikov, A. Davydov, and F. Bullo. The Yakubovich S-Lemma Revisited: Stability and Contractivity in Non-Euclidean Norms. SIAM Journal on Control and Optimization, 61(4):1955-1978, 2023. Keyword(s): Contraction Theory. [bibtex-entry]


  4. N. E. Friedkin, A. V. Proskurnikov, and F. Bullo. Group Dynamics on Multidimensional Attitudes. Social Networks, 65:157-167, 2021. [bibtex-entry]


  5. P. Cisneros-Velarde, N. E. Friedkin, A. V. Proskurnikov, and F. Bullo. Structural Balance via Gradient Flows over Signed Graphs. IEEE Transactions on Automatic Control, 66(7):3169-3183, 2020. [bibtex-entry]


  6. N. E. Friedkin, W. Mei, A. V. Proskurnikov, and F. Bullo. Mathematical Structures in Group Decision-Making on Resource Allocation Distributions. Scientific Reports, 9(1):1377, 2019. Keyword(s): Social Networks. [bibtex-entry]


  7. N. E. Friedkin, A. V. Proskurnikov, and F. Bullo. Positive Contagion and the Macrostructures of Generalized Balance. Network Science, 7(4):445-458, 2019. [bibtex-entry]


Conference articles
  1. A. Davydov, S. Jafarpour, A. V. Proskurnikov, and F. Bullo. Non-Euclidean Monotone Operator Theory with Applications to Recurrent Neural Networks. In IEEE Conf. on Decision and Control, Cancun, Mexico, December 2022. Keyword(s): Contraction Theory, Neural Networks. [bibtex-entry]


  2. A. Davydov, A. V. Proskurnikov, and F. Bullo. Non-Euclidean Contractivity of Recurrent Neural Networks. In American Control Conference, Atlanta, USA, pages 1527-1534, May 2022. Keyword(s): Contraction Theory, Neural Networks. [bibtex-entry]


  3. S. Jafarpour, A. Davydov, A. V. Proskurnikov, and F. Bullo. Robust Implicit Networks via Non-Euclidean Contractions. In Advances in Neural Information Processing Systems, December 2021. Keyword(s): Contraction Theory, Neural Networks. [bibtex-entry]


Miscellaneous
  1. A. V. Proskurnikov and F. Bullo. Regular pairings on normed spaces: linking two concepts of a semi-inner product. Note: Working Document, 2022. [bibtex-entry]



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