Ergen, Tolga; Pilanci, Mert Convex geometry and duality of over-parameterized neural networks. (English) Zbl 07626727 J. Mach. Learn. Res. 22, Paper No. 212, 63 p. (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{T. Ergen} and \textit{M. Pilanci}, J. Mach. Learn. Res. 22, Paper No. 212, 63 p. (2021; Zbl 07626727) Full Text: arXiv Link
Candogan, Utkan; Soh, Yong Sheng; Chandrasekeran, Venkat A note on convex relaxations for the inverse eigenvalue problem. (English) Zbl 1477.90080 Optim. Lett. 15, No. 8, 2757-2772 (2021). MSC: 90C27 90C22 PDFBibTeX XMLCite \textit{U. Candogan} et al., Optim. Lett. 15, No. 8, 2757--2772 (2021; Zbl 1477.90080) Full Text: DOI arXiv Link
Hauenstein, Jonathan D.; Liddell, Alan C. jun.; McPherson, Sanesha; Zhang, Yi Numerical algebraic geometry and semidefinite programming. (English) Zbl 1476.90231 Results Appl. Math. 11, Article ID 100166, 20 p. (2021). MSC: 90C22 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., Results Appl. Math. 11, Article ID 100166, 20 p. (2021; Zbl 1476.90231) Full Text: DOI
Jiao, Liguo; Lee, Jae Hyoung Finding efficient solutions in robust multiple objective optimization with SOS-convex polynomial data. (English) Zbl 1460.90167 Ann. Oper. Res. 296, No. 1-2, 803-820 (2021). MSC: 90C29 90C17 90C22 52A41 PDFBibTeX XMLCite \textit{L. Jiao} and \textit{J. H. Lee}, Ann. Oper. Res. 296, No. 1--2, 803--820 (2021; Zbl 1460.90167) Full Text: DOI
Naldi, Simone; Sinn, Rainer Conic programming: infeasibility certificates and projective geometry. (English) Zbl 1461.90100 J. Pure Appl. Algebra 225, No. 7, Article ID 106605, 22 p. (2021). MSC: 90C25 52A41 14P99 PDFBibTeX XMLCite \textit{S. Naldi} and \textit{R. Sinn}, J. Pure Appl. Algebra 225, No. 7, Article ID 106605, 22 p. (2021; Zbl 1461.90100) Full Text: DOI arXiv
Lee, Jae Hyoung; Jiao, Liguo Finding efficient solutions for multicriteria optimization problems with SOS-convex polynomials. (English) Zbl 1427.90252 Taiwanese J. Math. 23, No. 6, 1535-1550 (2019). MSC: 90C29 65K05 90C25 90C22 52A41 PDFBibTeX XMLCite \textit{J. H. Lee} and \textit{L. Jiao}, Taiwanese J. Math. 23, No. 6, 1535--1550 (2019; Zbl 1427.90252) Full Text: DOI Euclid
Soh, Yong Sheng; Chandrasekaran, Venkat Learning semidefinite regularizers. (English) Zbl 1411.90269 Found. Comput. Math. 19, No. 2, 375-434 (2019). MSC: 90C25 90C22 15A24 41A45 52A41 PDFBibTeX XMLCite \textit{Y. S. Soh} and \textit{V. Chandrasekaran}, Found. Comput. Math. 19, No. 2, 375--434 (2019; Zbl 1411.90269) Full Text: DOI arXiv Link
Josz, Cédric; Molzahn, Daniel K. Lasserre hierarchy for large scale polynomial optimization in real and complex variables. (English) Zbl 1395.90196 SIAM J. Optim. 28, No. 2, 1017-1048 (2018). MSC: 90C22 90C06 90C26 28A99 14Q99 47N10 PDFBibTeX XMLCite \textit{C. Josz} and \textit{D. K. Molzahn}, SIAM J. Optim. 28, No. 2, 1017--1048 (2018; Zbl 1395.90196) Full Text: DOI arXiv
Okudono, Takamasa; Nishida, Yuki; Kojima, Kensuke; Suenaga, Kohei; Kido, Kengo; Hasuo, Ichiro Sharper and simpler nonlinear interpolants for program verification. (English) Zbl 1503.68184 Chang, Bor-Yuh Evan (ed.), Programming languages and systems. 15th Asian symposium, APLAS 2017, Suzhou, China, November 27–29, 2017. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 10695, 491-513 (2017). MSC: 68Q60 03B70 03C40 14P05 68N30 PDFBibTeX XMLCite \textit{T. Okudono} et al., Lect. Notes Comput. Sci. 10695, 491--513 (2017; Zbl 1503.68184) Full Text: DOI arXiv
Cifuentes, Diego; Parrilo, Pablo A. Sampling algebraic varieties for sum of squares programs. (English) Zbl 1386.90099 SIAM J. Optim. 27, No. 4, 2381-2404 (2017). MSC: 90C22 65H10 PDFBibTeX XMLCite \textit{D. Cifuentes} and \textit{P. A. Parrilo}, SIAM J. Optim. 27, No. 4, 2381--2404 (2017; Zbl 1386.90099) Full Text: DOI arXiv
Klep, Igor; Povh, Janez Constrained trace-optimization of polynomials in freely noncommuting variables. (English) Zbl 1356.90103 J. Glob. Optim. 64, No. 2, 325-348 (2016). MSC: 90C22 14P10 13J30 47A57 PDFBibTeX XMLCite \textit{I. Klep} and \textit{J. Povh}, J. Glob. Optim. 64, No. 2, 325--348 (2016; Zbl 1356.90103) Full Text: DOI
Saunderson, James; Parrilo, Pablo A. Polynomial-sized semidefinite representations of derivative relaxations of spectrahedral cones. (English) Zbl 1327.90180 Math. Program. 153, No. 2 (A), 309-331 (2015). MSC: 90C22 90C25 52A41 52A20 PDFBibTeX XMLCite \textit{J. Saunderson} and \textit{P. A. Parrilo}, Math. Program. 153, No. 2 (A), 309--331 (2015; Zbl 1327.90180) Full Text: DOI arXiv
Saunderson, J.; Parrilo, P. A.; Willsky, A. S. Semidefinite descriptions of the convex hull of rotation matrices. (English) Zbl 1317.90231 SIAM J. Optim. 25, No. 3, 1314-1343 (2015). MSC: 90C22 90C25 52A41 52A20 PDFBibTeX XMLCite \textit{J. Saunderson} et al., SIAM J. Optim. 25, No. 3, 1314--1343 (2015; Zbl 1317.90231) Full Text: DOI arXiv
Bachoc, Christine; Passuello, Alberto; Thiery, Alain The density of sets avoiding distance 1 in Euclidean space. (English) Zbl 1327.52032 Discrete Comput. Geom. 53, No. 4, 783-808 (2015). Reviewer: László A. Székely (Columbia) MSC: 52C10 90C05 90C27 05C69 PDFBibTeX XMLCite \textit{C. Bachoc} et al., Discrete Comput. Geom. 53, No. 4, 783--808 (2015; Zbl 1327.52032) Full Text: DOI arXiv
Chaudhury, K. N.; Khoo, Y.; Singer, A. Global registration of multiple point clouds using semidefinite programming. (English) Zbl 1322.90058 SIAM J. Optim. 25, No. 1, 468-501 (2015). MSC: 90C22 52C25 05C50 PDFBibTeX XMLCite \textit{K. N. Chaudhury} et al., SIAM J. Optim. 25, No. 1, 468--501 (2015; Zbl 1322.90058) Full Text: DOI arXiv
Kang, Lai; Wu, Lingda; Yang, Yee-Hong Robust multi-view \(L_2\) triangulation via optimal inlier selection and 3D structure refinement. (English) Zbl 1342.68321 Pattern Recognition 47, No. 9, 2974-2992 (2014). MSC: 68T45 68U05 PDFBibTeX XMLCite \textit{L. Kang} et al., Pattern Recognition 47, No. 9, 2974--2992 (2014; Zbl 1342.68321) Full Text: DOI
Fang, Xingyuan; Toh, Kim-Chuan Using a distributed SDP approach to solve simulated protein molecular conformation problems. (English) Zbl 1271.68233 Mucherino, Antonio (ed.) et al., Distance geometry. Theory, methods, and applications. New York, NY: Springer (ISBN 978-1-4614-5127-3/hbk; 978-1-4614-5128-0/ebook). 351-376 (2013). MSC: 68U05 92D20 90C22 PDFBibTeX XMLCite \textit{X. Fang} and \textit{K.-C. Toh}, in: Distance geometry. Theory, methods, and applications. New York, NY: Springer. 351--376 (2013; Zbl 1271.68233) Full Text: DOI
Burgdorf, Sabine; Cafuta, Kristijan; Klep, Igor; Povh, Janez The tracial moment problem and trace-optimization of polynomials. (English) Zbl 1274.90256 Math. Program. 137, No. 1-2 (A), 557-578 (2013). Reviewer: Torsten Bosse (Berlin) MSC: 90C22 13J30 47A57 08B20 PDFBibTeX XMLCite \textit{S. Burgdorf} et al., Math. Program. 137, No. 1--2 (A), 557--578 (2013; Zbl 1274.90256) Full Text: DOI
Chandrasekaran, Venkat; Recht, Benjamin; Parrilo, Pablo A.; Willsky, Alan S. The convex geometry of linear inverse problems. (English) Zbl 1280.52008 Found. Comput. Math. 12, No. 6, 805-849 (2012). Reviewer: Igor V. Konnov (Kazan) MSC: 52A41 41A45 90C25 90C22 60D05 PDFBibTeX XMLCite \textit{V. Chandrasekaran} et al., Found. Comput. Math. 12, No. 6, 805--849 (2012; Zbl 1280.52008) Full Text: DOI arXiv Link
Cimprič, Jaka A method for computing lowest eigenvalues of symmetric polynomial differential operators by semidefinite programming. (English) Zbl 1205.90215 J. Math. Anal. Appl. 369, No. 2, 443-452 (2010). Reviewer: Yueh-er Kuo (Knoxville) MSC: 90C22 90C26 65K05 14A22 PDFBibTeX XMLCite \textit{J. Cimprič}, J. Math. Anal. Appl. 369, No. 2, 443--452 (2010; Zbl 1205.90215) Full Text: DOI arXiv
Klep, Igor; Povh, Janez Semidefinite programming and sums of Hermitian squares of noncommutative polynomials. (English) Zbl 1246.11092 J. Pure Appl. Algebra 214, No. 6, 740-749 (2010). Reviewer: Luis David Garcia Puente (Huntsville) MSC: 11E25 90C22 08B20 13J30 PDFBibTeX XMLCite \textit{I. Klep} and \textit{J. Povh}, J. Pure Appl. Algebra 214, No. 6, 740--749 (2010; Zbl 1246.11092) Full Text: DOI
Brandenberg, René; Roth, Lucia New algorithms for \(k\)-center and extensions. (English) Zbl 1184.90133 J. Comb. Optim. 18, No. 4, 376-392 (2009). MSC: 90C27 90B80 PDFBibTeX XMLCite \textit{R. Brandenberg} and \textit{L. Roth}, J. Comb. Optim. 18, No. 4, 376--392 (2009; Zbl 1184.90133) Full Text: DOI
Peyrl, Helfried; Parrilo, Pablo A. Computing sum of squares decompositions with rational coefficients. (English) Zbl 1156.65062 Theor. Comput. Sci. 409, No. 2, 269-281 (2008). Reviewer: Stefan Mititelu (Bucureşti) MSC: 65K05 68W30 90C30 PDFBibTeX XMLCite \textit{H. Peyrl} and \textit{P. A. Parrilo}, Theor. Comput. Sci. 409, No. 2, 269--281 (2008; Zbl 1156.65062) Full Text: DOI
Watson, G. Alistair Fitting enclosing cylinders to data in \(\mathbb R^n\). (English) Zbl 1109.65059 Numer. Algorithms 43, No. 2, 189-196 (2006). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 65K05 65D10 90C26 65D18 PDFBibTeX XMLCite \textit{G. A. Watson}, Numer. Algorithms 43, No. 2, 189--196 (2006; Zbl 1109.65059) Full Text: DOI
Zhou, Guanglu; Toh, Kim-Chuan; Sun, Jie Efficient algorithms for the smallest enclosing ball problem. (English) Zbl 1112.90060 Comput. Optim. Appl. 30, No. 2, 147-160 (2005). MSC: 90C25 65D18 PDFBibTeX XMLCite \textit{G. Zhou} et al., Comput. Optim. Appl. 30, No. 2, 147--160 (2005; Zbl 1112.90060) Full Text: DOI
Kumar, Piyush; Mitchell, Joseph S. B.; Yıldırım, E. Alper Approximate minimum enclosing balls in high dimensions using core-sets. (English) Zbl 1083.68138 ACM J. Exp. Algorithm. 8, Spec. Iss., Article 1, 29 p. (2003). MSC: 68U05 52B55 68W25 PDFBibTeX XMLCite \textit{P. Kumar} et al., ACM J. Exp. Algorithm. 8, Article 1, 29 p. (2003; Zbl 1083.68138) Full Text: DOI Link