Li, Lingfeng; Tai, Xue-Cheng; Yang, Jiang; Zhu, Quanhui A priori error estimate of deep mixed residual method for elliptic PDEs. (English) Zbl 07794699 J. Sci. Comput. 98, No. 2, Paper No. 44, 30 p. (2024). MSC: 65N15 68Q25 PDFBibTeX XMLCite \textit{L. Li} et al., J. Sci. Comput. 98, No. 2, Paper No. 44, 30 p. (2024; Zbl 07794699) Full Text: DOI arXiv
Tsvieli, Amit; Weinberger, Nir Learning maximum margin channel decoders. (English) Zbl 07821939 IEEE Trans. Inf. Theory 69, No. 6, 3597-3626 (2023). MSC: 94-XX PDFBibTeX XMLCite \textit{A. Tsvieli} and \textit{N. Weinberger}, IEEE Trans. Inf. Theory 69, No. 6, 3597--3626 (2023; Zbl 07821939) Full Text: DOI arXiv
El Balghiti, Othman; Elmachtoub, Adam N.; Grigas, Paul; Tewari, Ambuj Generalization bounds in the predict-then-optimize framework. (English) Zbl 07811852 Math. Oper. Res. 48, No. 4, 2043-2065 (2023). MSC: 68-XX PDFBibTeX XMLCite \textit{O. El Balghiti} et al., Math. Oper. Res. 48, No. 4, 2043--2065 (2023; Zbl 07811852) Full Text: DOI arXiv
Sandrić, Nikola; Šebek, Stjepan Learning from non-irreducible Markov chains. (English) Zbl 1510.60070 J. Math. Anal. Appl. 523, No. 2, Article ID 127049, 14 p. (2023). MSC: 60J10 68Q17 68Q87 PDFBibTeX XMLCite \textit{N. Sandrić} and \textit{S. Šebek}, J. Math. Anal. Appl. 523, No. 2, Article ID 127049, 14 p. (2023; Zbl 1510.60070) Full Text: DOI arXiv
Kawaguchi, K.; Bengio, Y.; Kaelbling, L. Generalization in deep learning. (English) Zbl 1512.68298 Grohs, Philipp (ed.) et al., Mathematical aspects of deep learning. Cambridge: Cambridge University Press. 112-148 (2023). Reviewer: Raffaele Marino (Roma) MSC: 68T07 PDFBibTeX XMLCite \textit{K. Kawaguchi} et al., in: Mathematical aspects of deep learning. Cambridge: Cambridge University Press. 112--148 (2023; Zbl 1512.68298) Full Text: DOI arXiv
Clémençon, Stephan; Laforgue, Pierre Statistical learning from biased training samples. (English) Zbl 07633934 Electron. J. Stat. 16, No. 2, 6086-6134 (2022). MSC: 62C12 62D99 PDFBibTeX XMLCite \textit{S. Clémençon} and \textit{P. Laforgue}, Electron. J. Stat. 16, No. 2, 6086--6134 (2022; Zbl 07633934) Full Text: DOI arXiv Link
Gonczarowski, Yannai A.; Weinberg, S. Matthew The sample complexity of up-to-\(\varepsilon\) multi-dimensional revenue maximization. (English) Zbl 1505.91128 J. ACM 68, No. 3, Paper No. 15, 28 p. (2021). MSC: 91A68 91B03 91B26 68W40 PDFBibTeX XMLCite \textit{Y. A. Gonczarowski} and \textit{S. M. Weinberg}, J. ACM 68, No. 3, Paper No. 15, 28 p. (2021; Zbl 1505.91128) Full Text: DOI arXiv
Bartlett, Peter L.; Long, Philip M. Failures of model-dependent generalization bounds for least-norm interpolation. (English) Zbl 07626719 J. Mach. Learn. Res. 22, Paper No. 204, 15 p. (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{P. L. Bartlett} and \textit{P. M. Long}, J. Mach. Learn. Res. 22, Paper No. 204, 15 p. (2021; Zbl 07626719) Full Text: arXiv Link
Kenig, Eyal Portfolio selection in non-stationary markets. (English) Zbl 1485.91213 Algorithm. Finance 9, No. 1-2, 35-47 (2021). MSC: 91G10 PDFBibTeX XMLCite \textit{E. Kenig}, Algorithm. Finance 9, No. 1--2, 35--47 (2021; Zbl 1485.91213) Full Text: DOI
Rokhlin, Dmitry B. Out-of-sample utility bounds for empirically optimal portfolios in a single-period investment problem. (English) Zbl 1479.91364 Karapetyants, Alexey N. (ed.) et al., Operator theory and harmonic analysis. OTHA 2020, Part II – probability-analytical models, methods and applications. Based on the international conference on modern methods, problems and applications of operator theory and harmonic analysis. Cham: Springer. Springer Proc. Math. Stat. 358, 335-353 (2021). MSC: 91G10 91B16 PDFBibTeX XMLCite \textit{D. B. Rokhlin}, Springer Proc. Math. Stat. 358, 335--353 (2021; Zbl 1479.91364) Full Text: DOI
Wimalawarne, Kishan; Mamitsuka, Hiroshi Reshaped tensor nuclear norms for higher order tensor completion. (English) Zbl 07432811 Mach. Learn. 110, No. 3, 507-531 (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{K. Wimalawarne} and \textit{H. Mamitsuka}, Mach. Learn. 110, No. 3, 507--531 (2021; Zbl 07432811) Full Text: DOI
Maddalena, Emilio Tanowe; Scharnhorst, Paul; Jones, Colin N. Deterministic error bounds for kernel-based learning techniques under bounded noise. (English) Zbl 1478.93123 Automatica 134, Article ID 109896, 9 p. (2021). MSC: 93B30 62J07 PDFBibTeX XMLCite \textit{E. T. Maddalena} et al., Automatica 134, Article ID 109896, 9 p. (2021; Zbl 1478.93123) Full Text: DOI arXiv
Gao, Qingyi; Wang, Xiao Theoretical investigation of generalization bounds for adversarial learning of deep neural networks. (English) Zbl 1483.68338 J. Stat. Theory Pract. 15, No. 2, Paper No. 51, 28 p. (2021). Reviewer: Hongshan Li (Mountain View) MSC: 68T07 PDFBibTeX XMLCite \textit{Q. Gao} and \textit{X. Wang}, J. Stat. Theory Pract. 15, No. 2, Paper No. 51, 28 p. (2021; Zbl 1483.68338) Full Text: DOI
Clémençon, Stephan; Limnios, Myrto; Vayatis, Nicolas Concentration inequalities for two-sample rank processes with application to bipartite ranking. (English) Zbl 1471.62356 Electron. J. Stat. 15, No. 2, 4659-4717 (2021). MSC: 62G99 68T05 60E15 62C12 PDFBibTeX XMLCite \textit{S. Clémençon} et al., Electron. J. Stat. 15, No. 2, 4659--4717 (2021; Zbl 1471.62356) Full Text: DOI arXiv Link
Rokhlin, Dmitry B. Relative utility bounds for empirically optimal portfolios. (English) Zbl 1468.91146 Math. Methods Oper. Res. 93, No. 3, 437-462 (2021). MSC: 91G10 PDFBibTeX XMLCite \textit{D. B. Rokhlin}, Math. Methods Oper. Res. 93, No. 3, 437--462 (2021; Zbl 1468.91146) Full Text: DOI arXiv
Shamir, Ohad Gradient methods never overfit on separable data. (English) Zbl 07370602 J. Mach. Learn. Res. 22, Paper No. 85, 20 p. (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{O. Shamir}, J. Mach. Learn. Res. 22, Paper No. 85, 20 p. (2021; Zbl 07370602) Full Text: arXiv Link
Blanchard, Gilles; Deshmukh, Aniket Anand; Dogan, Urun; Lee, Gyemin; Scott, Clayton Domain generalization by marginal transfer learning. (English) Zbl 07370519 J. Mach. Learn. Res. 22, Paper No. 2, 55 p. (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{G. Blanchard} et al., J. Mach. Learn. Res. 22, Paper No. 2, 55 p. (2021; Zbl 07370519) Full Text: arXiv Link
Feng, Yunlong; Fan, Jun; Suykens, Johan A. K. A statistical learning approach to modal regression. (English) Zbl 1497.68418 J. Mach. Learn. Res. 21, Paper No. 2, 35 p. (2020). MSC: 68T05 62G08 62J02 PDFBibTeX XMLCite \textit{Y. Feng} et al., J. Mach. Learn. Res. 21, Paper No. 2, 35 p. (2020; Zbl 1497.68418) Full Text: arXiv Link
Kuznetsov, Vitaly; Mohri, Mehryar Discrepancy-based theory and algorithms for forecasting non-stationary time series. (English) Zbl 1452.62654 Ann. Math. Artif. Intell. 88, No. 4, 367-399 (2020). MSC: 62M10 62M20 62L10 68T05 68Q15 PDFBibTeX XMLCite \textit{V. Kuznetsov} and \textit{M. Mohri}, Ann. Math. Artif. Intell. 88, No. 4, 367--399 (2020; Zbl 1452.62654) Full Text: DOI
Oneto, Luca Model selection and error estimation in a nutshell. (English) Zbl 1476.62009 Modeling and Optimization in Science and Technologies 15. Cham: Springer (ISBN 978-3-030-24358-6/hbk; 978-3-030-24361-6/pbk; 978-3-030-24359-3/ebook). xiii, 132 p. (2020). Reviewer: Italo Simonelli (Durham) MSC: 62-02 62H30 62F07 PDFBibTeX XMLCite \textit{L. Oneto}, Model selection and error estimation in a nutshell. Cham: Springer (2020; Zbl 1476.62009) Full Text: DOI
Lee, Jaeho; Raginsky, Maxim Learning finite-dimensional coding schemes with nonlinear reconstruction maps. (English) Zbl 1490.68187 SIAM J. Math. Data Sci. 1, No. 3, 617-642 (2019). MSC: 68T05 49Q22 68P30 68T07 94A12 94A34 PDFBibTeX XMLCite \textit{J. Lee} and \textit{M. Raginsky}, SIAM J. Math. Data Sci. 1, No. 3, 617--642 (2019; Zbl 1490.68187) Full Text: DOI arXiv
Bax, Eric; Weng, Lingjie; Tian, Xu Speculate-correct error bounds for \(k\)-nearest neighbor classifiers. (English) Zbl 1447.62069 Mach. Learn. 108, No. 12, 2087-2111 (2019). MSC: 62H30 62G30 PDFBibTeX XMLCite \textit{E. Bax} et al., Mach. Learn. 108, No. 12, 2087--2111 (2019; Zbl 1447.62069) Full Text: DOI arXiv
Feng, Tao; Hollmann, Henk D. L.; Xiang, Qing The shift bound for abelian codes and generalizations of the Donoho-Stark uncertainty principle. (English) Zbl 1432.94184 IEEE Trans. Inf. Theory 65, No. 8, 4673-4682 (2019). MSC: 94B15 94B65 PDFBibTeX XMLCite \textit{T. Feng} et al., IEEE Trans. Inf. Theory 65, No. 8, 4673--4682 (2019; Zbl 1432.94184) Full Text: DOI arXiv
Cortes, Corinna; Greenberg, Spencer; Mohri, Mehryar Relative deviation learning bounds and generalization with unbounded loss functions. (English) Zbl 1442.68194 Ann. Math. Artif. Intell. 85, No. 1, 45-70 (2019). MSC: 68T05 PDFBibTeX XMLCite \textit{C. Cortes} et al., Ann. Math. Artif. Intell. 85, No. 1, 45--70 (2019; Zbl 1442.68194) Full Text: DOI arXiv
Hardt, Moritz; Ma, Tengyu; Recht, Benjamin Gradient descent learns linear dynamical systems. (English) Zbl 1461.62150 J. Mach. Learn. Res. 19, Paper No. 29, 44 p. (2018). MSC: 62M09 37M10 62J05 62M15 90C26 PDFBibTeX XMLCite \textit{M. Hardt} et al., J. Mach. Learn. Res. 19, Paper No. 29, 44 p. (2018; Zbl 1461.62150) Full Text: arXiv Link
Prokhorov, Yu. V.; Götze, F.; Ulyanov, V. V. On bounds for characteristic functions of powers of asymptotically normal variables. (English. Russian original) Zbl 1388.60054 Theory Probab. Appl. 62, No. 1, 98-116 (2018); translation from Teor. Veroyatn. Primen. 62, No. 1, 122-144 (2017). MSC: 60E10 60E15 60F05 PDFBibTeX XMLCite \textit{Yu. V. Prokhorov} et al., Theory Probab. Appl. 62, No. 1, 98--116 (2018; Zbl 1388.60054); translation from Teor. Veroyatn. Primen. 62, No. 1, 122--144 (2017) Full Text: DOI
Balle, Borja; Mohri, Mehryar Generalization bounds for learning weighted automata. (English) Zbl 1388.68148 Theor. Comput. Sci. 716, 89-106 (2018). MSC: 68Q32 68Q45 PDFBibTeX XMLCite \textit{B. Balle} and \textit{M. Mohri}, Theor. Comput. Sci. 716, 89--106 (2018; Zbl 1388.68148) Full Text: DOI arXiv
Kogler, Alexander; Traxler, Patrick Parallel and robust empirical risk minimization via the median trick. (English) Zbl 1497.68427 Blömer, Johannes (ed.) et al., Mathematical aspects of computer and information sciences. 7th international conference, MACIS 2017, Vienna, Austria, November 15–17, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10693, 378-391 (2017). MSC: 68T05 62H30 68W10 PDFBibTeX XMLCite \textit{A. Kogler} and \textit{P. Traxler}, Lect. Notes Comput. Sci. 10693, 378--391 (2017; Zbl 1497.68427) Full Text: DOI
Wu, Xinxing; Zhang, Junping Researches on Rademacher complexities in statistical learning theory: a survey. (Chinese. English summary) Zbl 1389.68090 Acta Autom. Sin. 43, No. 1, 20-39 (2017). MSC: 68T05 PDFBibTeX XMLCite \textit{X. Wu} and \textit{J. Zhang}, Acta Autom. Sin. 43, No. 1, 20--39 (2017; Zbl 1389.68090) Full Text: DOI
Gottlieb, Lee-Ad; Kontorovich, Aryeh; Nisnevitch, Pinhas Nearly optimal classification for semimetrics. (English) Zbl 1437.62230 J. Mach. Learn. Res. 18(2017-2018), Paper No. 37, 22 p. (2017). MSC: 62H30 62R20 68Q17 PDFBibTeX XMLCite \textit{L.-A. Gottlieb} et al., J. Mach. Learn. Res. 18, Paper No. 37, 22 p. (2017; Zbl 1437.62230) Full Text: Link
Kuzborskij, Ilja; Orabona, Francesco Fast rates by transferring from auxiliary hypotheses. (English) Zbl 1453.68153 Mach. Learn. 106, No. 2, 171-195 (2017). MSC: 68T05 62J02 PDFBibTeX XMLCite \textit{I. Kuzborskij} and \textit{F. Orabona}, Mach. Learn. 106, No. 2, 171--195 (2017; Zbl 1453.68153) Full Text: DOI arXiv
Kuznetsov, Vitaly; Mohri, Mehryar Generalization bounds for non-stationary mixing processes. (English) Zbl 1412.68186 Mach. Learn. 106, No. 1, 93-117 (2017). MSC: 68T05 PDFBibTeX XMLCite \textit{V. Kuznetsov} and \textit{M. Mohri}, Mach. Learn. 106, No. 1, 93--117 (2017; Zbl 1412.68186) Full Text: DOI
Oneto, Luca; Anguita, Davide; Ridella, Sandro A local Vapnik-Chervonenkis complexity. (English) Zbl 1428.68249 Neural Netw. 82, 62-75 (2016). MSC: 68T05 PDFBibTeX XMLCite \textit{L. Oneto} et al., Neural Netw. 82, 62--75 (2016; Zbl 1428.68249) Full Text: DOI
London, Ben; Huang, Bert; Getoor, Lise Stability and generalization in structured prediction. (English) Zbl 1404.68114 J. Mach. Learn. Res. 17, Paper No. 222, 52 p. (2016). MSC: 68T05 62H30 PDFBibTeX XMLCite \textit{B. London} et al., J. Mach. Learn. Res. 17, Paper No. 222, 52 p. (2016; Zbl 1404.68114) Full Text: Link
Popescu, Pantelimon G.; Dragomir, Sever S.; Sluşanschi, Emil I.; Stănăşilă, Octavian N. Bounds for Kullback-Leibler divergence. (English) Zbl 1357.94049 Electron. J. Differ. Equ. 2016, Paper No. 237, 6 p. (2016). MSC: 94A17 62B10 PDFBibTeX XMLCite \textit{P. G. Popescu} et al., Electron. J. Differ. Equ. 2016, Paper No. 237, 6 p. (2016; Zbl 1357.94049) Full Text: EMIS
Lei, Yunwen; Ying, Yiming Generalization analysis of multi-modal metric learning. (English) Zbl 1338.68235 Anal. Appl., Singap. 14, No. 4, 503-521 (2016). MSC: 68T05 62J02 PDFBibTeX XMLCite \textit{Y. Lei} and \textit{Y. Ying}, Anal. Appl., Singap. 14, No. 4, 503--521 (2016; Zbl 1338.68235) Full Text: DOI
Steinbach, Martin; Hachenberger, Dirk A class of quaternary linear codes improving known minimum distances. (English) Zbl 1333.94061 Des. Codes Cryptography 78, No. 3, 615-627 (2016). MSC: 94B05 94B65 11T71 12E20 PDFBibTeX XMLCite \textit{M. Steinbach} and \textit{D. Hachenberger}, Des. Codes Cryptography 78, No. 3, 615--627 (2016; Zbl 1333.94061) Full Text: DOI
Castoldi, André G.; Monte Carmelo, Emerson L. The covering problem in Rosenbloom-Tsfasman spaces. (English) Zbl 1358.94104 Electron. J. Comb. 22, No. 3, Research Paper P3.30, 18 p. (2015). MSC: 94B65 06A07 94B25 PDFBibTeX XMLCite \textit{A. G. Castoldi} and \textit{E. L. Monte Carmelo}, Electron. J. Comb. 22, No. 3, Research Paper P3.30, 18 p. (2015; Zbl 1358.94104) Full Text: Link
Tulabandhula, Theja; Rudin, Cynthia Generalization bounds for learning with linear, polygonal, quadratic and conic side knowledge. (English) Zbl 1377.68213 Mach. Learn. 100, No. 2-3, 183-216 (2015). Reviewer: Ding-Xuan Zhou (Hong Kong) MSC: 68T05 PDFBibTeX XMLCite \textit{T. Tulabandhula} and \textit{C. Rudin}, Mach. Learn. 100, No. 2--3, 183--216 (2015; Zbl 1377.68213) Full Text: DOI arXiv
Dwork, Cynthia; Feldman, Vitaly; Hardt, Moritz; Pitassi, Toniann; Reingold, Omer; Roth, Aaron Leon Preserving statistical validity in adaptive data analysis (extended abstract). (English) Zbl 1321.68401 Proceedings of the 47th annual ACM symposium on theory of computing, STOC ’15, Portland, OR, USA, June 14–17, 2015. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3536-2). 117-126 (2015). MSC: 68T05 94A60 PDFBibTeX XMLCite \textit{C. Dwork} et al., in: Proceedings of the 47th annual ACM symposium on theory of computing, STOC '15, Portland, OR, USA, June 14--17, 2015. New York, NY: Association for Computing Machinery (ACM). 117--126 (2015; Zbl 1321.68401) Full Text: DOI arXiv
Rodrigues, Alexandre A. P. Geometric proof of Massera’s theorem. (Portuguese. English summary) Zbl 1459.34083 Bol. Soc. Port. Mat. 70, 69-83 (2014). MSC: 34C05 34C07 34A34 PDFBibTeX XMLCite \textit{A. A. P. Rodrigues}, Bol. Soc. Port. Mat. 70, 69--83 (2014; Zbl 1459.34083) Full Text: Link
Kuznetsov, Vitaly; Mohri, Mehryar Generalization bounds for time series prediction with non-stationary processes. (English) Zbl 1432.62304 Auer, Peter (ed.) et al., Algorithmic learning theory. 25th international conference, ALT 2014, Bled, Slovenia, October 8–10, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8776, 260-274 (2014). MSC: 62M10 62M20 PDFBibTeX XMLCite \textit{V. Kuznetsov} and \textit{M. Mohri}, Lect. Notes Comput. Sci. 8776, 260--274 (2014; Zbl 1432.62304) Full Text: DOI
Zou, Bin; Xu, Zong-ben; Xu, Jie Generalization bounds of ERM algorithm with Markov chain samples. (English) Zbl 1386.68148 Acta Math. Appl. Sin., Engl. Ser. 30, No. 1, 223-238 (2014). MSC: 68T05 60E15 60J20 PDFBibTeX XMLCite \textit{B. Zou} et al., Acta Math. Appl. Sin., Engl. Ser. 30, No. 1, 223--238 (2014; Zbl 1386.68148) Full Text: DOI
Bredereck, Robert; Nichterlein, André; Niedermeier, Rolf; Philip, Geevarghese The effect of homogeneity on the computational complexity of combinatorial data anonymization. (English) Zbl 1281.68120 Data Min. Knowl. Discov. 28, No. 1, 65-91 (2014). MSC: 68Q17 68R05 68P15 PDFBibTeX XMLCite \textit{R. Bredereck} et al., Data Min. Knowl. Discov. 28, No. 1, 65--91 (2014; Zbl 1281.68120) Full Text: DOI
Chekina, Lena; Gutfreund, Dan; Kontorovich, Aryeh; Rokach, Lior; Shapira, Bracha Exploiting label dependencies for improved sample complexity. (English) Zbl 1273.68294 Mach. Learn. 91, No. 1, 1-42 (2013). MSC: 68T05 62H30 PDFBibTeX XMLCite \textit{L. Chekina} et al., Mach. Learn. 91, No. 1, 1--42 (2013; Zbl 1273.68294) Full Text: DOI
Saghatelyan, V. K. On the generalized sample range. (English) Zbl 1301.62021 Proc. Yerevan State Univ., Phys. Math. Sci. 2012, No. 3(229), 21-28 (2012). MSC: 62E10 62G30 62E20 PDFBibTeX XMLCite \textit{V. K. Saghatelyan}, Proc. Yerevan State Univ., Phys. Math. Sci. 2012, No. 3(229), 21--28 (2012; Zbl 1301.62021)
Lazaric, Alessandro; Ghavamzadeh, Mohammad; Munos, Rémi Finite-sample analysis of least-squares policy iteration. (English) Zbl 1433.68361 J. Mach. Learn. Res. 13, 3041-3074 (2012). MSC: 68T05 62J05 60J20 90C40 PDFBibTeX XMLCite \textit{A. Lazaric} et al., J. Mach. Learn. Res. 13, 3041--3074 (2012; Zbl 1433.68361) Full Text: Link
Kloft, Marius; Blanchard, Gilles On the convergence rate of \(l_{p}\)-norm multiple kernel learning. (English) Zbl 1433.68356 J. Mach. Learn. Res. 13, 2465-2502 (2012). MSC: 68T05 62G08 62G20 62H30 62J02 PDFBibTeX XMLCite \textit{M. Kloft} and \textit{G. Blanchard}, J. Mach. Learn. Res. 13, 2465--2502 (2012; Zbl 1433.68356) Full Text: arXiv Link
Kakade, Sham M.; Shalev-Shwartz, Shai; Tewari, Ambuj Regularization techniques for learning with matrices. (English) Zbl 1432.68388 J. Mach. Learn. Res. 13, 1865-1890 (2012). MSC: 68T05 68T20 90C25 PDFBibTeX XMLCite \textit{S. M. Kakade} et al., J. Mach. Learn. Res. 13, 1865--1890 (2012; Zbl 1432.68388) Full Text: Link
Gilio, Angelo Generalizing inference rules in a coherence-based probabilistic default reasoning. (English) Zbl 1242.68330 Int. J. Approx. Reasoning 53, No. 3, 413-434 (2012). MSC: 68T37 PDFBibTeX XMLCite \textit{A. Gilio}, Int. J. Approx. Reasoning 53, No. 3, 413--434 (2012; Zbl 1242.68330) Full Text: DOI
Zou, Bin; Xu, Zongben; Chang, Xiangyu Generalization bounds of ERM algorithm with \(V\)-geometrically ergodic Markov chains. (English) Zbl 1242.68265 Adv. Comput. Math. 36, No. 1, 99-114 (2012). MSC: 68T05 60J10 68W40 PDFBibTeX XMLCite \textit{B. Zou} et al., Adv. Comput. Math. 36, No. 1, 99--114 (2012; Zbl 1242.68265) Full Text: DOI
Chen, Chao-Ping; Debnath, Lokenath Sharpness and generalization of Jordan’s inequality and its application. (English) Zbl 1247.26030 Appl. Math. Lett. 25, No. 3, 594-599 (2012). MSC: 26D15 PDFBibTeX XMLCite \textit{C.-P. Chen} and \textit{L. Debnath}, Appl. Math. Lett. 25, No. 3, 594--599 (2012; Zbl 1247.26030) Full Text: DOI
Xu, Huan; Mannor, Shie Robustness and generalization. (English) Zbl 1242.68259 Mach. Learn. 86, No. 3, 391-423 (2012). MSC: 68T05 62H30 62G35 62J07 PDFBibTeX XMLCite \textit{H. Xu} and \textit{S. Mannor}, Mach. Learn. 86, No. 3, 391--423 (2012; Zbl 1242.68259) Full Text: DOI
Teng, Fei; Chen, Yixin; Dang, Xin Multiclass classification with potential function rules: margin distribution and generalization. (English) Zbl 1225.68236 Pattern Recognition 45, No. 1, 540-551 (2012). MSC: 68T10 68T05 PDFBibTeX XMLCite \textit{F. Teng} et al., Pattern Recognition 45, No. 1, 540--551 (2012; Zbl 1225.68236) Full Text: DOI
Cour, Timothee; Sapp, Ben; Taskar, Ben Learning from partial labels. (English) Zbl 1280.68162 J. Mach. Learn. Res. 12, 1501-1536 (2011). MSC: 68T05 62H30 62G08 PDFBibTeX XMLCite \textit{T. Cour} et al., J. Mach. Learn. Res. 12, 1501--1536 (2011; Zbl 1280.68162) Full Text: Link
Kloft, Marius; Brefeld, Ulf; Sonnenburg, Sören; Zien, Alexander \(\ell_{p}\)-norm multiple kernel learning. (English) Zbl 1280.68173 J. Mach. Learn. Res. 12, 953-997 (2011). MSC: 68T05 62G08 PDFBibTeX XMLCite \textit{M. Kloft} et al., J. Mach. Learn. Res. 12, 953--997 (2011; Zbl 1280.68173) Full Text: Link
Audibert, Jean-Yves; Catoni, Olivier Robust linear least squares regression. (English) Zbl 1231.62126 Ann. Stat. 39, No. 5, 2766-2794 (2011). MSC: 62J05 62J07 62F35 62C20 62F30 65C60 PDFBibTeX XMLCite \textit{J.-Y. Audibert} and \textit{O. Catoni}, Ann. Stat. 39, No. 5, 2766--2794 (2011; Zbl 1231.62126) Full Text: DOI arXiv
Klȩsk, Przemysław Probabilities of discrepancy between minima of cross-validation, Vapnik bounds and true risks. (English) Zbl 1339.62003 Int. J. Appl. Math. Comput. Sci. 20, No. 3, 525-544 (2010). MSC: 62G08 PDFBibTeX XMLCite \textit{P. Klȩsk}, Int. J. Appl. Math. Comput. Sci. 20, No. 3, 525--544 (2010; Zbl 1339.62003) Full Text: DOI EuDML
Rudin, Cynthia The \(p\)-norm push: a simple convex ranking algorithm that concentrates at the top of the list. (English) Zbl 1235.68185 J. Mach. Learn. Res. 10, 2233-2271 (2009). MSC: 68T05 62H30 PDFBibTeX XMLCite \textit{C. Rudin}, J. Mach. Learn. Res. 10, 2233--2271 (2009; Zbl 1235.68185) Full Text: Link
Rudin, Cynthia; Schapire, Robert E. Margin-based ranking and an equivalence between AdaBoost and RankBoost. (English) Zbl 1235.68186 J. Mach. Learn. Res. 10, 2193-2232 (2009). MSC: 68T05 PDFBibTeX XMLCite \textit{C. Rudin} and \textit{R. E. Schapire}, J. Mach. Learn. Res. 10, 2193--2232 (2009; Zbl 1235.68186) Full Text: Link
Agarwal, Shivani; Niyogi, Partha Generalization bounds for ranking algorithms via algorithmic stability. (English) Zbl 1235.68123 J. Mach. Learn. Res. 10, 441-474 (2009). MSC: 68T05 PDFBibTeX XMLCite \textit{S. Agarwal} and \textit{P. Niyogi}, J. Mach. Learn. Res. 10, 441--474 (2009; Zbl 1235.68123) Full Text: Link
Peleg, Dori; Meir, Ron A sparsity driven kernel machine based on minimizing a generalization error bound. (English) Zbl 1175.68385 Pattern Recognition 42, No. 11, 2607-2614 (2009). MSC: 68T10 68T05 PDFBibTeX XMLCite \textit{D. Peleg} and \textit{R. Meir}, Pattern Recognition 42, No. 11, 2607--2614 (2009; Zbl 1175.68385) Full Text: DOI
Sabato, Sivan; Shalev-Shwartz, Shai Ranking categorical features using generalization properties. (English) Zbl 1225.68211 J. Mach. Learn. Res. 9, 1083-1114 (2008). MSC: 68T05 PDFBibTeX XMLCite \textit{S. Sabato} and \textit{S. Shalev-Shwartz}, J. Mach. Learn. Res. 9, 1083--1114 (2008; Zbl 1225.68211) Full Text: Link
Ben-David, Shai; Borbely, Reba Schuller A notion of task relatedness yielding provable multiple-task learning guarantees. (English) Zbl 1470.68082 Mach. Learn. 73, No. 3, 273-287 (2008). MSC: 68T05 68Q32 PDFBibTeX XMLCite \textit{S. Ben-David} and \textit{R. S. Borbely}, Mach. Learn. 73, No. 3, 273--287 (2008; Zbl 1470.68082) Full Text: DOI
Taghizadeh, N.; Ketabchi, S.; Sadidi, M. T. A comparison of the solutions of nonlinear differential equations by Adomian decomposition and generalization of Milne methods. (English) Zbl 1157.65417 Far East J. Appl. Math. 33, No. 3, 357-367 (2008). MSC: 65L05 34K28 65L20 65L06 65L70 PDFBibTeX XMLCite \textit{N. Taghizadeh} et al., Far East J. Appl. Math. 33, No. 3, 357--367 (2008; Zbl 1157.65417) Full Text: Link
Rigollet, Philippe Generalization error bounds in semi-supervised classification under the cluster assumption. (English) Zbl 1222.68288 J. Mach. Learn. Res. 8, 1369-1392 (2007). MSC: 68T05 62H30 PDFBibTeX XMLCite \textit{P. Rigollet}, J. Mach. Learn. Res. 8, 1369--1392 (2007; Zbl 1222.68288) Full Text: Link
Audibert, Jean-Yves; Bousquet, Olivier Combining PAC-Bayesian and generic chaining bounds. (English) Zbl 1222.68136 J. Mach. Learn. Res. 8, 863-889 (2007). MSC: 68T05 62H30 PDFBibTeX XMLCite \textit{J.-Y. Audibert} and \textit{O. Bousquet}, J. Mach. Learn. Res. 8, 863--889 (2007; Zbl 1222.68136) Full Text: Link
Quistorff, Jörn On Rosenbloom and Tsfasman’s generalization of the Hamming space. (English) Zbl 1130.94021 Discrete Math. 307, No. 21, 2514-2524 (2007). Reviewer: Nikolai L. Manev (Sofia) MSC: 94B65 94B05 11T71 PDFBibTeX XMLCite \textit{J. Quistorff}, Discrete Math. 307, No. 21, 2514--2524 (2007; Zbl 1130.94021) Full Text: DOI
Ujević, Nenad; Erceg, Goran A generalization of the corrected midpoint-trapezoid rule and error bounds. (English) Zbl 1119.41027 Appl. Math. Comput. 184, No. 2, 216-222 (2007). MSC: 41A55 PDFBibTeX XMLCite \textit{N. Ujević} and \textit{G. Erceg}, Appl. Math. Comput. 184, No. 2, 216--222 (2007; Zbl 1119.41027) Full Text: DOI
Mukherjee, Sayan; Wu, Qiang Estimation of gradients and coordinate covariation in classification. (English) Zbl 1222.62078 J. Mach. Learn. Res. 7, 2481-2514 (2006). MSC: 62H30 68T05 46N30 PDFBibTeX XMLCite \textit{S. Mukherjee} and \textit{Q. Wu}, J. Mach. Learn. Res. 7, 2481--2514 (2006; Zbl 1222.62078) Full Text: Link
Mukherjee, Sayan; Zhou, Ding-Xuan Learning coordinate covariances via gradients. (English) Zbl 1222.68270 J. Mach. Learn. Res. 7, 519-549 (2006). MSC: 68T05 62H30 PDFBibTeX XMLCite \textit{S. Mukherjee} and \textit{D.-X. Zhou}, J. Mach. Learn. Res. 7, 519--549 (2006; Zbl 1222.68270) Full Text: Link
Liu, Zheng A unified treatment of some sharp inequalities. (English) Zbl 1232.26036 JIPAM, J. Inequal. Pure Appl. Math. 7, No. 5, Paper No. 172, 8 p. (2006). MSC: 26D15 PDFBibTeX XMLCite \textit{Z. Liu}, JIPAM, J. Inequal. Pure Appl. Math. 7, No. 5, Paper No. 172, 8 p. (2006; Zbl 1232.26036) Full Text: EuDML EMIS
Ujević, Nenad Error inequalities for a generalized trapezoid rule. (English) Zbl 1080.26023 Appl. Math. Lett. 19, No. 1, 32-37 (2006). MSC: 26D15 65D30 41A55 PDFBibTeX XMLCite \textit{N. Ujević}, Appl. Math. Lett. 19, No. 1, 32--37 (2006; Zbl 1080.26023) Full Text: DOI
Agarwal, Shivani; Graepel, Thore; Herbrich, Ralf; Har-Peled, Sariel; Roth, Dan Generalization bounds for the area under the ROC curve. (English) Zbl 1222.68129 J. Mach. Learn. Res. 6, 393-425 (2005). MSC: 68T05 62H30 PDFBibTeX XMLCite \textit{S. Agarwal} et al., J. Mach. Learn. Res. 6, 393--425 (2005; Zbl 1222.68129) Full Text: Link
Jaeger, Savina Andonova Generalization bounds and complexities based on sparsity and clustering for convex combinations of functions from random classes. (English) Zbl 1222.62072 J. Mach. Learn. Res. 6, 307-340 (2005). MSC: 62H30 68T05 65C60 PDFBibTeX XMLCite \textit{S. A. Jaeger}, J. Mach. Learn. Res. 6, 307--340 (2005; Zbl 1222.62072) Full Text: Link
Guermeur, Yann; Elisseeff, André; Zelus, Dominique A comparative study of multi-class support vector machines in the unifying framework of large margin classifiers. (English) Zbl 1089.62076 Appl. Stoch. Models Bus. Ind. 21, No. 2, 199-214 (2005). Reviewer: A. D. Borisenko (Kyïv) MSC: 62H30 68T05 60F15 PDFBibTeX XMLCite \textit{Y. Guermeur} et al., Appl. Stoch. Models Bus. Ind. 21, No. 2, 199--214 (2005; Zbl 1089.62076) Full Text: DOI
Kůrková, Věra; Sanguineti, Marcello Learning with generalization capability by kernel methods of bounded complexity. (English) Zbl 1095.68044 J. Complexity 21, No. 3, 350-367 (2005). MSC: 68Q32 68T05 62D05 PDFBibTeX XMLCite \textit{V. Kůrková} and \textit{M. Sanguineti}, J. Complexity 21, No. 3, 350--367 (2005; Zbl 1095.68044) Full Text: DOI Link
Ujević, Nenad Generalization of the corrected mid-point rule and error bounds. (English) Zbl 1128.41008 Comput. Methods Appl. Math. 5, No. 1, 97-104 (2005). MSC: 41A55 26D15 PDFBibTeX XMLCite \textit{N. Ujević}, Comput. Methods Appl. Math. 5, No. 1, 97--104 (2005; Zbl 1128.41008) Full Text: DOI
Kääriäinen, Matti; Malinen, Tuomo; Elomaa, Tapio Selective Rademacher penalization and reduced error pruning of decision trees. (English) Zbl 1222.68228 J. Mach. Learn. Res. 5, 1107-1126 (2004). MSC: 68T05 PDFBibTeX XMLCite \textit{M. Kääriäinen} et al., J. Mach. Learn. Res. 5, 1107--1126 (2004; Zbl 1222.68228) Full Text: Link
Mendelson, Shahar; Philips, Petra On the importance of small coordinate projections. (English) Zbl 1222.68264 J. Mach. Learn. Res. 5, 219-238 (2004). MSC: 68T05 62H05 PDFBibTeX XMLCite \textit{S. Mendelson} and \textit{P. Philips}, J. Mach. Learn. Res. 5, 219--238 (2004; Zbl 1222.68264) Full Text: Link
Anthony, Martin Generalization error bounds for threshold decision lists. (English) Zbl 1222.68134 J. Mach. Learn. Res. 5, 189-217 (2004). MSC: 68T05 PDFBibTeX XMLCite \textit{M. Anthony}, J. Mach. Learn. Res. 5, 189--217 (2004; Zbl 1222.68134) Full Text: Link
Alexandre, Luís A.; Campilho, Aurélio; Kamel, Mohamed Bounds for the average generalization error of the mixture of experts neural network. (English) Zbl 1104.68586 Fred, Ana (ed.) et al., Structural, syntactic, and statistical pattern recognition. Joint IAPR international workshops SSPR 2004 and SPR 2004, Lisbon, Portugal, August 18–20, 2004. Proceedings. Berlin: Springer (ISBN 3-540-22570-6/pbk). Lecture Notes in Computer Science 3138, 618-625 (2004). MSC: 68T10 68T05 PDFBibTeX XMLCite \textit{L. A. Alexandre} et al., Lect. Notes Comput. Sci. 3138, 618--625 (2004; Zbl 1104.68586) Full Text: DOI
Bartlett, Peter L.; Mendelson, Shahar; Philips, Petra Local complexities for empirical risk minimization. (English) Zbl 1078.68046 Shawe-Taylor, John (ed.) et al., Learning theory. 17th annual conference on learning theory, COLT 2004, Banff, Canada, July 1–4, 2004. Proceedings. Berlin: Springer (ISBN 3-540-22282-0/pbk). Lecture Notes in Computer Science 3120. Lecture Notes in Artificial Intelligence, 270-284 (2004). MSC: 68Q32 PDFBibTeX XMLCite \textit{P. L. Bartlett} et al., Lect. Notes Comput. Sci. 3120, 270--284 (2004; Zbl 1078.68046) Full Text: DOI
Freund, Yoav; Mansour, Yishay; Schapire, Robert E. Generalization bounds for averaged classifiers. (English) Zbl 1045.62056 Ann. Stat. 32, No. 4, 1698-1722 (2004). MSC: 62H30 62C12 68T05 65C60 PDFBibTeX XMLCite \textit{Y. Freund} et al., Ann. Stat. 32, No. 4, 1698--1722 (2004; Zbl 1045.62056) Full Text: DOI arXiv
Mendelson, Shahar; Philips, Petra Random subclass bounds. (English) Zbl 1274.68339 Schölkopf, Bernhard (ed.) et al., Learning theory and kernel machines. 16th annual conference on learning theory and 7th kernel workshop, COLT/Kernel 2003, Washington, DC, USA, August 24–27, 2003. Proceedings. Berlin: Springer (ISBN 3-540-40720-0/pbk). Lect. Notes Comput. Sci. 2777, 329-343 (2003). MSC: 68T05 PDFBibTeX XMLCite \textit{S. Mendelson} and \textit{P. Philips}, Lect. Notes Comput. Sci. 2777, 329--343 (2003; Zbl 1274.68339) Full Text: DOI
Pachpatte, S. B.; Pachpatte, B. G. Inequalities for terminal value problems for differential equations. (English) Zbl 1029.26006 Tamkang J. Math. 33, No. 3, 199-208 (2002). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D10 26D15 34A40 PDFBibTeX XMLCite \textit{S. B. Pachpatte} and \textit{B. G. Pachpatte}, Tamkang J. Math. 33, No. 3, 199--208 (2002; Zbl 1029.26006)
Cherkassky, Vladimir Model complexity control and statistical learning theory. (English) Zbl 1065.62552 Nat. Comput. 1, No. 1, 109-133 (2002). MSC: 62P99 68T05 93B99 PDFBibTeX XMLCite \textit{V. Cherkassky}, Nat. Comput. 1, No. 1, 109--133 (2002; Zbl 1065.62552) Full Text: DOI
Katzberg, Jack David; Ziarko, Wojciech Variable precision extension of rough sets. (English) Zbl 0858.90084 Ann. Soc. Math. Pol., Ser. IV, Fundam. Inf. 27, No. 2-3, 155-168 (1996). MSC: 90B50 90B90 PDFBibTeX XMLCite \textit{J. D. Katzberg} and \textit{W. Ziarko}, Ann. Soc. Math. Pol., Ser. IV, Fundam. Inf. 27, No. 2--3, 155--168 (1996; Zbl 0858.90084)
Baum, Carl W.; Veeravalli, Venugopal V. A sequential procedure for multihypothesis testing. (English) Zbl 0828.62070 IEEE Trans. Inf. Theory 40, No. 6, 1994-2007 (1994). MSC: 62L10 62B10 PDFBibTeX XMLCite \textit{C. W. Baum} and \textit{V. V. Veeravalli}, IEEE Trans. Inf. Theory 40, No. 6, 1994--2007 (1994; Zbl 0828.62070) Full Text: DOI
Shiryaev, A. N.; Spokoǐnyj, V. G. On the concept of \(\lambda\)-convergence of statistical experiments. (English. Russian original) Zbl 0840.62008 Proc. Steklov Inst. Math. 202, 225-228 (1994); translation from Tr. Mat. Inst. Steklova 202, 282-286 (1993). MSC: 62B15 60F99 PDFBibTeX XMLCite \textit{A. N. Shiryaev} and \textit{V. G. Spokoǐnyj}, in: Statistics and control of random processes. Transl. from the Russian. Providence, RI: American Mathematical Society. 225--228 (1993; Zbl 0840.62008); translation from Tr. Mat. Inst. Steklova 202, 282--286 (1993)
Moree, P. Bertrand’s postulate for primes in arithmetical progressions. (English) Zbl 0789.11001 Comput. Math. Appl. 26, No. 5, 35-43 (1993). Reviewer: D.Wolke (Freiburg i.Br.) MSC: 11A41 11N13 PDFBibTeX XMLCite \textit{P. Moree}, Comput. Math. Appl. 26, No. 5, 35--43 (1993; Zbl 0789.11001) Full Text: DOI
Ghosh, Malay Cramér–Rao bounds for posterior variances. (English) Zbl 0773.62018 Stat. Probab. Lett. 17, No. 3, 173-178 (1993). MSC: 62F10 PDFBibTeX XMLCite \textit{M. Ghosh}, Stat. Probab. Lett. 17, No. 3, 173--178 (1993; Zbl 0773.62018) Full Text: DOI
Derrida, B.; Griffiths, R. B.; Prügel-Bennett, A. Finite-size effects and bounds for perceptron models. (English) Zbl 0755.92001 J. Phys. A, Math. Gen. 24, No. 20, 4907-4940 (1991). MSC: 92B20 82C32 PDFBibTeX XMLCite \textit{B. Derrida} et al., J. Phys. A, Math. Gen. 24, No. 20, 4907--4940 (1991; Zbl 0755.92001) Full Text: DOI
Feng, Gui-Liang; Tzeng, Kenneth K. Decoding cyclic and BCH codes up to actual minimum distance using nonrecurrent syndrome dependence relations. (English) Zbl 0742.94020 IEEE Trans. Inf. Theory 37, No. 6, 1716-1723 (1991). MSC: 94B35 94B15 PDFBibTeX XMLCite \textit{G.-L. Feng} and \textit{K. K. Tzeng}, IEEE Trans. Inf. Theory 37, No. 6, 1716--1723 (1991; Zbl 0742.94020) Full Text: DOI Link
Paşa, Gelu I. Bounds for effective coefficients of periodic fiber-reinforced materials. (English) Zbl 0675.73008 SIAM J. Math. Anal. 20, No. 1, 106-115 (1989). Reviewer: M.C.Dökmeci MSC: 74E05 74E30 74S30 35B45 35B10 74E10 PDFBibTeX XMLCite \textit{G. I. Paşa}, SIAM J. Math. Anal. 20, No. 1, 106--115 (1989; Zbl 0675.73008) Full Text: DOI
Willis, J. R. Variational estimates for the overall response of an inhomogeneous nonlinear dielectric. (English) Zbl 0649.73013 Homogenization and effective moduli of materials and media, Proc. Workshop, Minneapolis/Minn. 1984/85, IMA Vol. Math. Appl. 1, 247-263 (1986). Reviewer: J.J.Telega MSC: 74S30 74F15 74B20 74E05 74E30 PDFBibTeX XML
Hlaváček, Miroslav Macroscopic moduli of elastic composite materials containing rigid ellipsoidal inclusions. (English) Zbl 0635.73015 Acta Tech. ČSAV 31, 238-260 (1986). MSC: 74E05 74S30 74E30 PDFBibTeX XMLCite \textit{M. Hlaváček}, Acta Tech. ČSAV 31, 238--260 (1986; Zbl 0635.73015)
Osgood, Charles F. Sometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or better. (English) Zbl 0575.10032 J. Number Theory 21, 347-389 (1985). Reviewer: F.Gross MSC: 11J99 30D35 34A45 41A20 12H20 PDFBibTeX XMLCite \textit{C. F. Osgood}, J. Number Theory 21, 347--389 (1985; Zbl 0575.10032) Full Text: DOI
Nieminen, J. On \(\chi _{mub}\)-lattices and convex substructures of lattices and semilattices. (English) Zbl 0567.06006 Acta Math. Hung. 44, 229-236 (1984). Reviewer: E.Fried MSC: 06A06 06A12 06B05 PDFBibTeX XMLCite \textit{J. Nieminen}, Acta Math. Hung. 44, 229--236 (1984; Zbl 0567.06006) Full Text: DOI
Evzerov, I. D. Estimates of the error with respect to displacements by the use of incompatible finite elements. (Russian) Zbl 0558.73067 Chislennye Metody Mekh. Sploshnoj Sredy 14, No. 5, 24-31 (1983). MSC: 74S05 65M15 65N15 74S99 PDFBibTeX XML