Li, Yaxu Iterative kernel density estimation from noisy-dependent observations. (English) Zbl 07767822 Banach J. Math. Anal. 18, No. 1, Paper No. 1, 19 p. (2024). MSC: 62G07 46E22 94A20 PDFBibTeX XMLCite \textit{Y. Li}, Banach J. Math. Anal. 18, No. 1, Paper No. 1, 19 p. (2024; Zbl 07767822) Full Text: DOI
Pashov, Dimitar; Acharya, Swagata; Lambrecht, Walter R. L.; Jackson, Jerome; Belashchenko, Kirill D.; Chantis, Athanasios; Jamet, Francois; van Schilfgaarde, Mark Questaal: a package of electronic structure methods based on the linear muffin-tin orbital technique. (English) Zbl 07678496 Comput. Phys. Commun. 249, Article ID 107065, 48 p. (2020). MSC: 94-XX 82-XX PDFBibTeX XMLCite \textit{D. Pashov} et al., Comput. Phys. Commun. 249, Article ID 107065, 48 p. (2020; Zbl 07678496) Full Text: DOI arXiv
Han, Yanjun; Jiao, Jiantao; Weissman, Tsachy; Wu, Yihong Optimal rates of entropy estimation over Lipschitz balls. (English) Zbl 1464.62258 Ann. Stat. 48, No. 6, 3228-3250 (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 62G07 62C20 62B10 94A17 PDFBibTeX XMLCite \textit{Y. Han} et al., Ann. Stat. 48, No. 6, 3228--3250 (2020; Zbl 1464.62258) Full Text: DOI arXiv Euclid
Holevo, Alexander S. On the quantum Gaussian optimizers conjecture in the case \( q=p\). (English. Russian original) Zbl 1403.81007 Russ. Math. Surv. 72, No. 6, 1177-1179 (2017); translation from Usp. Mat. Nauk 72, No. 6, 205-206 (2017). Reviewer: Dimitar A. Kolev (Sofia) MSC: 81P45 46N50 47B10 94A40 46L07 47B65 PDFBibTeX XMLCite \textit{A. S. Holevo}, Russ. Math. Surv. 72, No. 6, 1177--1179 (2017; Zbl 1403.81007); translation from Usp. Mat. Nauk 72, No. 6, 205--206 (2017) Full Text: DOI arXiv
Sei, Tomonari Coordinate-wise transformation and Stein-type densities. (English) Zbl 1428.60005 Nielsen, Frank (ed.) et al., Geometric science of information. Third international conference, GSI 2017, Paris, France, November 7–9, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10589, 665-672 (2017). MSC: 60A10 62H05 94A17 PDFBibTeX XMLCite \textit{T. Sei}, Lect. Notes Comput. Sci. 10589, 665--672 (2017; Zbl 1428.60005) Full Text: DOI
Carlen, Eric A. A remainder term for Hölder’s inequality for matrices and quantum entropy inequalities. (English) Zbl 1429.94041 Arch. Math. 109, No. 4, 365-371 (2017). MSC: 94A17 15A60 81P45 PDFBibTeX XMLCite \textit{E. A. Carlen}, Arch. Math. 109, No. 4, 365--371 (2017; Zbl 1429.94041) Full Text: DOI arXiv
Nagy, Á. Phase space view of quantum mechanical systems and Fisher information. (English) Zbl 1360.81100 Phys. Lett., A 380, No. 27-28, 2200-2203 (2016). MSC: 81P45 81S30 94A17 PDFBibTeX XMLCite \textit{Á. Nagy}, Phys. Lett., A 380, No. 27--28, 2200--2203 (2016; Zbl 1360.81100) Full Text: DOI Link
Csiszár, Imre; Breuer, Thomas An information geometry problem in mathematical finance. (English) Zbl 1405.94027 Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 435-443 (2015). MSC: 94A15 94A17 91G99 PDFBibTeX XMLCite \textit{I. Csiszár} and \textit{T. Breuer}, Lect. Notes Comput. Sci. 9389, 435--443 (2015; Zbl 1405.94027) Full Text: DOI
Hamilton, I. P.; Mosna, R. A.; Site, L. Delle Chapter 15: Quantum fluctuations, dequantization, information theory and kinetic-energy functionals. (English) Zbl 1378.82017 Wesolowski, Tomasz A. (ed.) et al., Recent progress in orbital-free density functional theory. Hackensack, NJ: World Scientific (ISBN 978-981-4436-72-4/hbk; 978-981-4436-74-8/ebook). Recent Advances in Computational Chemistry 6, 401-425 (2013). MSC: 82B10 81Q05 94A17 35Q55 35F21 81S10 49S05 PDFBibTeX XMLCite \textit{I. P. Hamilton} et al., Recent Adv. Comput. Chem. 6, 401--425 (2013; Zbl 1378.82017) Full Text: DOI
Nagy, Ágnes Chapter 14: Kinetic energy and Fisher information. (English) Zbl 1378.82019 Wesolowski, Tomasz A. (ed.) et al., Recent progress in orbital-free density functional theory. Hackensack, NJ: World Scientific (ISBN 978-981-4436-72-4/hbk; 978-981-4436-74-8/ebook). Recent Advances in Computational Chemistry 6, 387-400 (2013). MSC: 82B10 81Q05 94A17 35Q82 PDFBibTeX XMLCite \textit{Á. Nagy}, Recent Adv. Comput. Chem. 6, 387--400 (2013; Zbl 1378.82019) Full Text: DOI
Wittkowski, Raphael; Löwen, Hartmut; Brand, Helmut R. Microscopic approach to entropy production. (English) Zbl 1296.82048 J. Phys. A, Math. Theor. 46, No. 35, Article ID 355003, 17 p. (2013). Reviewer: Vittorio Romano (Catania) MSC: 82C35 94A17 82C70 PDFBibTeX XMLCite \textit{R. Wittkowski} et al., J. Phys. A, Math. Theor. 46, No. 35, Article ID 355003, 17 p. (2013; Zbl 1296.82048) Full Text: DOI arXiv
Del Moral, Pierre Mean field simulation for Monte Carlo integration. (English) Zbl 1282.65011 Monographs on Statistics and Applied Probability 126. Boca Raton, FL: CRC Press (ISBN 978-1-4665-0405-9/hbk; 978-1-138-19873-9/pbk; 978-1-4665-0417-2/ebook). xlvii, 578 p. (2013). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C05 65C40 65C35 65C30 65C20 68U20 65-02 82C31 82C40 82C80 81Q30 94A12 60G35 81V70 PDFBibTeX XMLCite \textit{P. Del Moral}, Mean field simulation for Monte Carlo integration. Boca Raton, FL: CRC Press (2013; Zbl 1282.65011) Full Text: DOI
Kostić, Tijana; Bertozzi, Andrea Statistical density estimation using threshold dynamics for geometric motion. (English) Zbl 1263.65010 J. Sci. Comput. 54, No. 2-3, 513-530 (2013). MSC: 65C60 94A08 65D18 65K10 49J20 62G07 PDFBibTeX XMLCite \textit{T. Kostić} and \textit{A. Bertozzi}, J. Sci. Comput. 54, No. 2--3, 513--530 (2013; Zbl 1263.65010) Full Text: DOI
Botev, Zdravko I.; Kroese, Dirk P. The generalized cross entropy method, with applications to probability density estimation. (English) Zbl 1207.94041 Methodol. Comput. Appl. Probab. 13, No. 1, 1-27 (2011). MSC: 94A17 62G07 PDFBibTeX XMLCite \textit{Z. I. Botev} and \textit{D. P. Kroese}, Methodol. Comput. Appl. Probab. 13, No. 1, 1--27 (2011; Zbl 1207.94041) Full Text: DOI Link
Le, Nam Q. Convergence results for critical points of the one-dimensional Ambrosio-Tortorelli functional with fidelity term. (English) Zbl 1190.49048 Adv. Differ. Equ. 15, No. 3-4, 255-282 (2010). MSC: 49Q20 49J45 35B38 35J60 94A08 PDFBibTeX XMLCite \textit{N. Q. Le}, Adv. Differ. Equ. 15, No. 3--4, 255--282 (2010; Zbl 1190.49048)
Melnichenko, Grigorii Energy discriminant analysis, quantum logic, and fuzzy sets. (English) Zbl 1192.68594 J. Multivariate Anal. 101, No. 1, 68-76 (2010). MSC: 68T10 03G12 03E72 94D05 91B06 PDFBibTeX XMLCite \textit{G. Melnichenko}, J. Multivariate Anal. 101, No. 1, 68--76 (2010; Zbl 1192.68594) Full Text: DOI arXiv
López-Ruiz, R.; Nagy, Á.; Romera, E.; Sañudo, J. A generalized statistical complexity measure: applications to quantum systems. (English) Zbl 1373.81116 J. Math. Phys. 50, No. 12, 123528, 10 p. (2009). MSC: 81P45 94A17 PDFBibTeX XMLCite \textit{R. López-Ruiz} et al., J. Math. Phys. 50, No. 12, 123528, 10 p. (2009; Zbl 1373.81116) Full Text: DOI arXiv Link
Borgoo, A.; Geerlings, P.; Sen, K. D. Electron density and Fisher information of Dirac-Fock atoms. (English) Zbl 1221.81198 Phys. Lett., A 372, No. 31, 5106-5109 (2008). MSC: 81V45 94A17 81V70 81S05 49S05 PDFBibTeX XMLCite \textit{A. Borgoo} et al., Phys. Lett., A 372, No. 31, 5106--5109 (2008; Zbl 1221.81198) Full Text: DOI
Dembo, Amir; Montanari, Andrea Finite size scaling for the core of large random hypergraphs. (English) Zbl 1152.05051 Ann. Appl. Probab. 18, No. 5, 1993-2040 (2008). MSC: 05C80 05C65 60J10 60F17 68R10 94A29 PDFBibTeX XMLCite \textit{A. Dembo} and \textit{A. Montanari}, Ann. Appl. Probab. 18, No. 5, 1993--2040 (2008; Zbl 1152.05051) Full Text: DOI arXiv
Whitcher, Brandon Wavelet-based bootstrapping of spatial patterns on a finite lattice. (English) Zbl 1445.62251 Comput. Stat. Data Anal. 50, No. 9, 2399-2421 (2006). MSC: 62M30 62G09 94A12 42C40 62P10 PDFBibTeX XMLCite \textit{B. Whitcher}, Comput. Stat. Data Anal. 50, No. 9, 2399--2421 (2006; Zbl 1445.62251) Full Text: DOI
Ingarden, Roman S. Information geometry in functional spaces of classical and quantum finite statistical systems. (English) Zbl 0478.46060 Int. J. Eng. Sci. 19, 1609-1633 (1981). MSC: 46N99 46L60 82B30 62B10 46L51 46L53 46L54 46L55 47B10 53C15 94A15 82B10 60A05 PDFBibTeX XMLCite \textit{R. S. Ingarden}, Int. J. Eng. Sci. 19, 1609--1633 (1981; Zbl 0478.46060) Full Text: DOI