Zhukovskiy, Evgeny; Burlakov, Evgenii; Malkov, Ivan Caristi-type conditions in constraint minimisation of mappings in metric and partially ordered spaces. (English) Zbl 1528.49013 Set-Valued Var. Anal. 31, No. 4, Paper No. 35, 23 p. (2023). MSC: 49J53 49K40 49K27 46N10 47H05 PDFBibTeX XMLCite \textit{E. Zhukovskiy} et al., Set-Valued Var. Anal. 31, No. 4, Paper No. 35, 23 p. (2023; Zbl 1528.49013) Full Text: DOI
Itoh, Mitsuhiro; Satoh, Hiroyasu Geometric mean of probability measures and geodesics of Fisher information metric. (English) Zbl 07747091 Math. Nachr. 296, No. 5, 1901-1927 (2023). MSC: 46E27 47A64 58B20 53B12 PDFBibTeX XMLCite \textit{M. Itoh} and \textit{H. Satoh}, Math. Nachr. 296, No. 5, 1901--1927 (2023; Zbl 07747091) Full Text: DOI arXiv
Lychagin, Valentin V. Measurement of random operators, jet geometry and high-order phase transitions. (English) Zbl 07738950 Krasil’shchik, I. S. (ed.) et al., The diverse world of PDEs. Geometry and mathematical physics. Alexandre Vinogradov memorial conference. Diffieties, cohomological physics, and other animals, Independent University of Moscow and Moscow State University, Moscow, Russia, December 13–17, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 788, 179-191 (2023). MSC: 47B80 82B26 PDFBibTeX XMLCite \textit{V. V. Lychagin}, Contemp. Math. 788, 179--191 (2023; Zbl 07738950) Full Text: DOI
Minh, Hà Quang Entropic regularization of Wasserstein distance between infinite-dimensional Gaussian measures and Gaussian processes. (English) Zbl 1514.49024 J. Theor. Probab. 36, No. 1, 201-296 (2023). MSC: 49Q22 28C20 60G15 47B65 PDFBibTeX XMLCite \textit{H. Q. Minh}, J. Theor. Probab. 36, No. 1, 201--296 (2023; Zbl 1514.49024) Full Text: DOI arXiv
Zhang, Ting; Qi, Xiaofei \(\alpha\)-\(z\)-Rényi relative entropy related quantities and their preservers. (English) Zbl 07650476 Banach J. Math. Anal. 17, No. 2, Paper No. 22, 22 p. (2023). MSC: 81P45 94A17 94A24 47B10 46C05 47B49 46L52 46L07 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{X. Qi}, Banach J. Math. Anal. 17, No. 2, Paper No. 22, 22 p. (2023; Zbl 07650476) Full Text: DOI
Dinh, Trung Hoa; Le, Anh Vu; Le, Cong Trinh; Phan, Ngoc Yen The matrix Heinz mean and related divergence. (English) Zbl 1497.47032 Hacet. J. Math. Stat. 51, No. 2, 362-372 (2022). MSC: 47A64 81P45 PDFBibTeX XMLCite \textit{T. H. Dinh} et al., Hacet. J. Math. Stat. 51, No. 2, 362--372 (2022; Zbl 1497.47032) Full Text: DOI
Chouaieb, Nadia; Iannazzo, Bruno; Moakher, Maher Geometries on the cone of positive-definite matrices derived from the power potential and their relation to the power means. (English) Zbl 1490.53028 Linear Algebra Appl. 638, 80-109 (2022). Reviewer: Zdeněk Dušek (České Budějovice) MSC: 53B20 15B48 47A64 PDFBibTeX XMLCite \textit{N. Chouaieb} et al., Linear Algebra Appl. 638, 80--109 (2022; Zbl 1490.53028) Full Text: DOI arXiv
Faugeras, Olivier D.; Song, Anna; Veltz, Romain Spatial and color hallucinations in a mathematical model of primary visual cortex. (English) Zbl 1491.92010 C. R., Math., Acad. Sci. Paris 360, 59-87 (2022). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 92B20 91E30 35B32 35G25 45K05 47H30 65P30 65R20 PDFBibTeX XMLCite \textit{O. D. Faugeras} et al., C. R., Math., Acad. Sci. Paris 360, 59--87 (2022; Zbl 1491.92010) Full Text: DOI arXiv
Minh, Hà Quang Alpha Procrustes metrics between positive definite operators: a unifying formulation for the Bures-Wasserstein and Log-Euclidean/Log-Hilbert-Schmidt metrics. (English) Zbl 1491.15037 Linear Algebra Appl. 636, 25-68 (2022). MSC: 15B48 60A10 47B65 47A64 47B32 PDFBibTeX XMLCite \textit{H. Q. Minh}, Linear Algebra Appl. 636, 25--68 (2022; Zbl 1491.15037) Full Text: DOI arXiv
Elser, Veit Learning without loss. (English) Zbl 07525616 Fixed Point Theory Algorithms Sci. Eng. 2021, Paper No. 12, 51 p. (2021). MSC: 47-XX 54-XX PDFBibTeX XMLCite \textit{V. Elser}, Fixed Point Theory Algorithms Sci. Eng. 2021, Paper No. 12, 51 p. (2021; Zbl 07525616) Full Text: DOI arXiv
Burlakov, Evgenii On inclusions arising in neural field modeling. (English) Zbl 1481.45004 Differ. Equ. Dyn. Syst. 29, No. 4, 765-787 (2021). MSC: 45G05 47H04 47H10 47H30 92B05 PDFBibTeX XMLCite \textit{E. Burlakov}, Differ. Equ. Dyn. Syst. 29, No. 4, 765--787 (2021; Zbl 1481.45004) Full Text: DOI
Burlakov, E. O.; Zhukovskaya, T. V.; Zhukovskiy, E. S.; Puchkov, N. P. On continuous and discontinuous models of neural fields. (English. Russian original) Zbl 07421556 J. Math. Sci., New York 259, No. 3, 272-282 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 165, 10-20 (2019). MSC: 47J05 47H04 35R09 45K05 47H30 92F99 PDFBibTeX XMLCite \textit{E. O. Burlakov} et al., J. Math. Sci., New York 259, No. 3, 272--282 (2021; Zbl 07421556); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 165, 10--20 (2019) Full Text: DOI
Wang, Xiaoli; Kloeden, Peter E.; Han, Xiaoying Stochastic dynamics of a neural field lattice model with state dependent nonlinear noise. (English) Zbl 1476.34050 NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 4, Paper No. 43, 31 p. (2021). MSC: 34A33 37C60 34D05 34D45 34F05 37L60 47J05 92C20 92C42 PDFBibTeX XMLCite \textit{X. Wang} et al., NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 4, Paper No. 43, 31 p. (2021; Zbl 1476.34050) Full Text: DOI
Nguyen Lam; Phi Long Le Quantum divergences with \(p\)-power means. (English) Zbl 1514.47028 Linear Algebra Appl. 609, 289-307 (2021). Reviewer: Miyeon Kwon (Platteville) MSC: 47A63 15A60 81P45 94A17 PDFBibTeX XMLCite \textit{Nguyen Lam} and \textit{Phi Long Le}, Linear Algebra Appl. 609, 289--307 (2021; Zbl 1514.47028) Full Text: DOI
Pitrik, József; Virosztek, Dániel A divergence center interpretation of general symmetric Kubo-Ando means, and related weighted multivariate operator means. (English) Zbl 1514.47033 Linear Algebra Appl. 609, 203-217 (2021). MSC: 47A64 15A24 PDFBibTeX XMLCite \textit{J. Pitrik} and \textit{D. Virosztek}, Linear Algebra Appl. 609, 203--217 (2021; Zbl 1514.47033) Full Text: DOI arXiv
Uohashi, Keiko Generalized parallel sums on symmetric cones and series parallel circuits. (English) Zbl 1523.17065 Appl. Sci. 22, 239-247 (2020). Reviewer: Ali Morassaei (Zanjan) MSC: 17C50 15B48 47A64 PDFBibTeX XMLCite \textit{K. Uohashi}, Appl. Sci. 22, 239--247 (2020; Zbl 1523.17065) Full Text: Link
Pitrik, József; Virosztek, Dániel Quantum Hellinger distances revisited. (English) Zbl 1518.47034 Lett. Math. Phys. 110, No. 8, 2039-2052 (2020). Reviewer: K. C. Sivakumar (Chennai) MSC: 47A64 15A24 81Q10 PDFBibTeX XMLCite \textit{J. Pitrik} and \textit{D. Virosztek}, Lett. Math. Phys. 110, No. 8, 2039--2052 (2020; Zbl 1518.47034) Full Text: DOI arXiv
Minh, Hà Quang Infinite-dimensional log-determinant divergences between positive definite Hilbert-Schmidt operators. (English) Zbl 1506.47063 Positivity 24, No. 3, 631-662 (2020). MSC: 47B65 47L07 15A15 PDFBibTeX XMLCite \textit{H. Q. Minh}, Positivity 24, No. 3, 631--662 (2020; Zbl 1506.47063) Full Text: DOI arXiv
Ei, Shin-Ichiro; Guo, Jong-Shenq; Ishii, Hiroshi; Wu, Chin-Chin Existence of traveling wave solutions to a nonlocal scalar equation with sign-changing kernel. (English) Zbl 1441.34075 J. Math. Anal. Appl. 487, No. 2, Article ID 124007, 14 p. (2020). Reviewer: George Karakostas (Ioannina) MSC: 34K10 34K25 35C07 35R09 47N20 PDFBibTeX XMLCite \textit{S.-I. Ei} et al., J. Math. Anal. Appl. 487, No. 2, Article ID 124007, 14 p. (2020; Zbl 1441.34075) Full Text: DOI
Girardin, Valérie; Lhote, Loick; Regnault, Philippe Different closed-form expressions for generalized entropy rates of Markov chains. (English) Zbl 1455.94080 Methodol. Comput. Appl. Probab. 21, No. 4, 1431-1452 (2019). MSC: 94A17 60J10 15B48 47B65 PDFBibTeX XMLCite \textit{V. Girardin} et al., Methodol. Comput. Appl. Probab. 21, No. 4, 1431--1452 (2019; Zbl 1455.94080) Full Text: DOI HAL
Newton, Nigel J. A class of non-parametric statistical manifolds modelled on Sobolev space. (English) Zbl 1444.46053 Inf. Geom. 2, No. 2, 283-312 (2019). MSC: 46N30 46T05 62R30 60D05 60H15 62B10 93E11 47H30 PDFBibTeX XMLCite \textit{N. J. Newton}, Inf. Geom. 2, No. 2, 283--312 (2019; Zbl 1444.46053) Full Text: DOI arXiv
Minh, Hà Quang Alpha-beta log-determinant divergences between positive definite trace class operators. (English) Zbl 1519.47040 Inf. Geom. 2, No. 2, 101-176 (2019). MSC: 47B65 47L07 46E22 PDFBibTeX XMLCite \textit{H. Q. Minh}, Inf. Geom. 2, No. 2, 101--176 (2019; Zbl 1519.47040) Full Text: DOI
Reem, Daniel; Reich, Simeon; De Pierro, Alvaro Re-examination of Bregman functions and new properties of their divergences. (English) Zbl 1407.52008 Optimization 68, No. 1, 279-348 (2019). MSC: 52A41 52B55 46N10 90C25 90C30 46T99 47N10 49M37 26B25 58C05 PDFBibTeX XMLCite \textit{D. Reem} et al., Optimization 68, No. 1, 279--348 (2019; Zbl 1407.52008) Full Text: DOI arXiv
Alswaihli, Jehan; Potthast, Roland; Bojak, Ingo; Saddy, Douglas; Hutt, Axel Kernel reconstruction for delayed neural field equations. (English) Zbl 1395.92028 J. Math. Neurosci. 8, Paper No. 3, 24 p. (2018). MSC: 92C20 35R30 45K05 47H10 PDFBibTeX XMLCite \textit{J. Alswaihli} et al., J. Math. Neurosci. 8, Paper No. 3, 24 p. (2018; Zbl 1395.92028) Full Text: DOI
Oleynik, Anna; Ponosov, Arcady; Kostrykin, Vadim; Sobolev, Alexander V. Spatially localized solutions of the Hammerstein equation with sigmoid type of nonlinearity. (English) Zbl 06639812 J. Differ. Equations 261, No. 10, 5844-5874 (2016). MSC: 47H30 47N60 47G10 45L05 45J05 92B20 PDFBibTeX XMLCite \textit{A. Oleynik} et al., J. Differ. Equations 261, No. 10, 5844--5874 (2016; Zbl 06639812) Full Text: DOI arXiv
Burlakov, Evgenii; Ponosov, Arcady; Wyller, John Stationary solutions of continuous and discontinuous neural field equations. (English) Zbl 1344.47053 J. Math. Anal. Appl. 444, No. 1, 47-68 (2016). MSC: 47N20 35R09 47N60 92C20 47H30 PDFBibTeX XMLCite \textit{E. Burlakov} et al., J. Math. Anal. Appl. 444, No. 1, 47--68 (2016; Zbl 1344.47053) Full Text: DOI
Szokol, Patrícia; Tsai, Ming-Cheng; Zhang, Jun Preserving problems of geodesic-affine maps and related topics on positive definite matrices. (English) Zbl 1339.47052 Linear Algebra Appl. 483, 293-308 (2015). Reviewer: Janko Marovt (Maribor) MSC: 47B49 15B48 53C22 PDFBibTeX XMLCite \textit{P. Szokol} et al., Linear Algebra Appl. 483, 293--308 (2015; Zbl 1339.47052) Full Text: DOI
Oleynik, Anna; Ponosov, Arcady; Wyller, John Iterative schemes for bump solutions in a neural field model. (English) Zbl 1310.35019 Differ. Equ. Dyn. Syst. 23, No. 1, 79-98 (2015). MSC: 35A35 47H07 35R09 PDFBibTeX XMLCite \textit{A. Oleynik} et al., Differ. Equ. Dyn. Syst. 23, No. 1, 79--98 (2015; Zbl 1310.35019) Full Text: DOI arXiv
Faye, Grégory; Rankin, James; Chossat, Pascal Localized states in an unbounded neural field equation with smooth firing rate function: a multi-parameter analysis. (English) Zbl 1293.37034 J. Math. Biol. 66, No. 6, 1303-1338 (2013). MSC: 37N05 37G05 34D20 37M05 92B20 47G20 PDFBibTeX XMLCite \textit{G. Faye} et al., J. Math. Biol. 66, No. 6, 1303--1338 (2013; Zbl 1293.37034) Full Text: DOI
Kostrykin, Vadim; Oleynik, Anna On the existence of unstable bumps in neural networks. (English) Zbl 1277.47082 Integral Equations Oper. Theory 75, No. 4, 445-458 (2013). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 47N60 92B20 82C32 47H07 47H10 37C75 45J05 PDFBibTeX XMLCite \textit{V. Kostrykin} and \textit{A. Oleynik}, Integral Equations Oper. Theory 75, No. 4, 445--458 (2013; Zbl 1277.47082) Full Text: DOI arXiv
van Gils, S. A.; Janssens, S. G.; Kuznetsov, Yu. A.; Visser, S. On local bifurcations in neural field models with transmission delays. (English) Zbl 1266.37040 J. Math. Biol. 66, No. 4-5, 837-887 (2013). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37L10 47H20 37L05 37M20 92C20 PDFBibTeX XMLCite \textit{S. A. van Gils} et al., J. Math. Biol. 66, No. 4--5, 837--887 (2013; Zbl 1266.37040) Full Text: DOI arXiv
Furuichi, Shigeru Inequalities for Tsallis relative entropy and generalized skew information. (English) Zbl 1232.81010 Linear Multilinear Algebra 59, No. 10, 1143-1158 (2011). MSC: 81P45 81P15 15A45 47A63 94A17 PDFBibTeX XMLCite \textit{S. Furuichi}, Linear Multilinear Algebra 59, No. 10, 1143--1158 (2011; Zbl 1232.81010) Full Text: DOI arXiv
Temme, K.; Kastoryano, M. J.; Ruskai, M. B.; Wolf, M. M.; Verstraete, F. The \(\chi^2\)-divergence and mixing times of quantum Markov processes. (English) Zbl 1314.81124 J. Math. Phys. 51, No. 12, 122201, 19 p. (2010). MSC: 81S20 37A25 60J10 46L53 46L07 47B65 47B10 PDFBibTeX XMLCite \textit{K. Temme} et al., J. Math. Phys. 51, No. 12, 122201, 19 p. (2010; Zbl 1314.81124) Full Text: DOI arXiv
Jenčová, Anna; Ruskai, Mary Beth A unified treatment of convexity of relative entropy and related trace functions, with conditions for equality. (English) Zbl 1218.81025 Rev. Math. Phys. 22, No. 9, 1099-1121 (2010). Reviewer: Shigeru Furuichi (Tokyo) MSC: 81P45 82B10 47N50 47A63 15A45 94A17 81P15 PDFBibTeX XMLCite \textit{A. Jenčová} and \textit{M. B. Ruskai}, Rev. Math. Phys. 22, No. 9, 1099--1121 (2010; Zbl 1218.81025) Full Text: DOI arXiv
Potthast, Roland; beim Graben, Peter Existence and properties of solutions for neural field equations. (English) Zbl 1190.35221 Math. Methods Appl. Sci. 33, No. 8, 935-949 (2010). MSC: 35R09 45K05 47N20 35D30 35B40 92B20 PDFBibTeX XMLCite \textit{R. Potthast} and \textit{P. beim Graben}, Math. Methods Appl. Sci. 33, No. 8, 935--949 (2010; Zbl 1190.35221) Full Text: DOI
Gui, Zhanji; Ge, Weigao Periodic solutions of nonautonomous cellular neural networks with impulses. (English) Zbl 1141.34026 Chaos Solitons Fractals 32, No. 5, 1760-1771 (2007). Reviewer: Meng Fan (Changchun) MSC: 34C25 34A37 92B20 47H11 PDFBibTeX XMLCite \textit{Z. Gui} and \textit{W. Ge}, Chaos Solitons Fractals 32, No. 5, 1760--1771 (2007; Zbl 1141.34026) Full Text: DOI
Kishimoto, K.; Amari, S. Existence and stability of local excitations in homogeneous neural fields. (English) Zbl 0406.92010 J. Math. Biol. 7, 303-318 (1979). MSC: 92Cxx 47J05 PDFBibTeX XMLCite \textit{K. Kishimoto} and \textit{S. Amari}, J. Math. Biol. 7, 303--318 (1979; Zbl 0406.92010) Full Text: DOI