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Publications of A. V. Proskurnikov
Articles in journal, book chapters
A. Davydov
,
A. V. Proskurnikov
, and
F. Bullo
.
Non-Euclidean Contraction Analysis of Continuous-Time Neural Networks
.
IEEE Transactions on Automatic Control
, 2024. Note: To appear.
Keyword(s):
Contraction Theory
,
Neural Networks
. [
bibtex-entry
]
A. V. Proskurnikov
and
F. Bullo
.
Regular pairings for non-quadratic Lyapunov functions and contraction analysis
.
SIAM Journal on Control and Optimization
, September 2024. Note: Submitted.
Keyword(s):
Contraction Theory
. [
bibtex-entry
]
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
]
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
]
N. E. Friedkin
,
A. V. Proskurnikov
, and
F. Bullo
.
Group Dynamics on Multidimensional Attitudes
.
Social Networks
, 65:157-167, 2021.
[
bibtex-entry
]
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
]
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
]
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
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
]
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
]
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
]
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