Basu, Saugata; Karisani, Negin Computing the homology functor on semi-algebraic maps and diagrams. (English) Zbl 07948156 Discrete Comput. Geom. 72, No. 4, 1437-1462 (2024). MSC: 14F25 55N31 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basu, Saugata; Percival, Sarah Efficient computation of a semi-algebraic basis of the first homology group of a semi-algebraic set. (English) Zbl 07931794 Discrete Comput. Geom. 72, No. 2, 622-664 (2024). MSC: 14P10 14F25 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hubert, Evelyne; Metzlaff, Tobias; Riener, Cordian Orbit spaces of Weyl groups acting on compact tori: a unified and explicit polynomial description. (English) Zbl 07902819 SIAM J. Appl. Algebra Geom. 8, No. 3, 612-649 (2024). MSC: 13A50 14P10 17B22 33C52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fefferman, Charles; Shaviv, Ary A property of ideals of jets of functions vanishing on a set. (English) Zbl 07835938 Rev. Mat. Iberoam. 40, No. 2, 719-752 (2024). MSC: 26B05 41A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Telek, Máté L. Real tropicalization and negative faces of the Newton polytope. (English) Zbl 07808719 J. Pure Appl. Algebra 228, No. 6, Article ID 107564, 16 p. (2024). MSC: 14P05 14Q30 14T20 52B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agarwal, Pankaj K.; Katz, Matthew J.; Sharir, Micha On reverse shortest paths in geometric proximity graphs. (English) Zbl 1527.05047 Comput. Geom. 117, Article ID 102053, 15 p. (2024). MSC: 05C12 05C38 × Cite Format Result Cite Review PDF Full Text: DOI
Stade, Jack; Tucker-Foltz, Jamie Topological universality of the art gallery problem. (English) Zbl 07927915 Chambers, Erin W. (ed.) et al., 39th international symposium on computational geometry, SoCG 2023, Dallas, Texas, USA, June 12–15, 2023. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 258, Article 58, 13 p. (2023). MSC: 68U05 68U03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Roos, Hoefgeest Pepijn; Slot, Lucas The Christoffel-Darboux kernel for topological data analysis. (English) Zbl 07927895 Chambers, Erin W. (ed.) et al., 39th international symposium on computational geometry, SoCG 2023, Dallas, Texas, USA, June 12–15, 2023. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 258, Article 38, 20 p. (2023). MSC: 68U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rambau, Jörg The visible-volume function of a set of cameras is continuous, piecewise rational, locally Lipschitz, and semi-algebraic in all dimensions. (English) Zbl 1523.52033 Discrete Comput. Geom. 70, No. 3, 1038-1058 (2023). MSC: 52C35 52C40 68U05 90C26 × Cite Format Result Cite Review PDF Full Text: DOI
Braun, Francisco; Dias, Luis Renato Goncalves; Venato-Santos, Jean Surjectivity of linear operators and semialgebraic global diffeomorphisms. (English) Zbl 1536.14055 J. Anal. Math. 150, No. 2, 789-802 (2023). Reviewer: Zbigniew Jelonek (Warszawa) MSC: 14R15 14P10 57R35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Newton, Matthew; Papachristodoulou, Antonis Sparse polynomial optimisation for neural network verification. (English) Zbl 1539.90055 Automatica 157, Article ID 111233, 11 p. (2023). MSC: 90C23 14Q30 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Plaumann, Daniel; Sinn, Rainer; Wesner, Jannik Lennart Families of faces and the normal cycle of a convex semi-algebraic set. (English) Zbl 1522.14073 Beitr. Algebra Geom. 64, No. 3, 851-875 (2023). Reviewer: Angelica Torres (Bellaterra) MSC: 14P05 14P10 14N05 14Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dutertre, Nicolas; Moya Pérez, Juan Antonio Semi-algebraic functions with non-compact critical set. (English) Zbl 1523.14096 Bull. Braz. Math. Soc. (N.S.) 54, No. 2, Paper No. 22, 25 p. (2023). MSC: 14P10 14P25 × Cite Format Result Cite Review PDF Full Text: DOI
Phạm, Tiến-Sơn Tangencies and polynomial optimization. (English) Zbl 1525.90326 Math. Program. 199, No. 1-2 (A), 1239-1272 (2023). MSC: 90C23 14P05 14P10 90C26 90C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basu, Saugata; Riener, Cordian Vandermonde varieties, mirrored spaces, and the cohomology of symmetric semi-algebraic sets. (English) Zbl 1497.14117 Found. Comput. Math. 22, No. 5, 1395-1462 (2022). Reviewer: Vladimir P. Kostov (Nice) MSC: 14P10 14P25 05E05 14Q20 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feliu, Elisenda; Telek, Máté L. On generalizing Descartes’ rule of signs to hypersurfaces. (English) Zbl 1499.14095 Adv. Math. 408, Part A, Article ID 108582, 29 p. (2022). Reviewer: Jaewoo Jung (Atlanta) MSC: 14P10 90C99 12D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kohn, Kathlén; Merkh, Thomas; Montúfar, Guido; Trager, Matthew Geometry of linear convolutional networks. (English) Zbl 1514.68254 SIAM J. Appl. Algebra Geom. 6, No. 3, 368-406 (2022). MSC: 68T05 14J70 14P10 62R01 90C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basu, Saugata; Cox, Nathanael; Percival, Sarah On the Reeb spaces of definable maps. (English) Zbl 1500.03014 Discrete Comput. Geom. 68, No. 2, 372-405 (2022). Reviewer: Fujita Masato (Kure) MSC: 03C64 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Đinh, Sĩ Tiệp; Jelonek, Zbigniew; Phạm, Tiến Sơn Stability of closedness of semi-algebraic sets under continuous semi-algebraic mappings. (English) Zbl 1491.14080 Proc. Am. Math. Soc. 150, No. 9, 3663-3673 (2022). MSC: 14P10 58A35 14P15 32C05 58A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basu, Saugata; Mohammad-Nezhad, Ali On the central path of semidefinite optimization: degree and worst-case convergence rate. (English) Zbl 1490.14093 SIAM J. Appl. Algebra Geom. 6, No. 2, 299-318 (2022). MSC: 14P10 90C22 90C51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basu, Saugata; Roy, Marie-Françoise Quantitative curve selection lemma. (English) Zbl 1505.14120 Math. Z. 300, No. 3, 2349-2361 (2022). Reviewer: Hamid Rahkooy (Oxford) MSC: 14P10 14Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Terça, Gonçalo; Wozabal, David Envelope theorems for multistage linear stochastic optimization. (English) Zbl 1485.90075 Oper. Res. 69, No. 5, 1608-1629 (2021). MSC: 90C15 90C40 × Cite Format Result Cite Review PDF Full Text: DOI
Luo, Xiao; Qian, Xuewen; Sun, Yang The algebraic geometry of perfect and sequential equilibrium: an extension. (English) Zbl 1477.91005 Econ. Theory 71, No. 2, 579-601 (2021). MSC: 91A18 91A05 91A26 × Cite Format Result Cite Review PDF Full Text: DOI Link
Trang, Du Thu; Toan, Ho Minh; Hong, Nguyen Thi Algebra of polynomials bounded on a semi-algebraic set \([ f\leq r ]\). (English) Zbl 1482.14060 Acta Math. Vietnam. 46, No. 4, 821-838 (2021). Reviewer: Tien-Son Pham (Dalat) MSC: 14P10 12D15 12E05 13J30 44A60 × Cite Format Result Cite Review PDF Full Text: DOI
Schmüdgen, Konrad The Stieltjes condition and multidimensional \({\mathcal{K}} \)-moment problems. (English) Zbl 1476.44006 Arch. Math. 117, No. 2, 179-188 (2021). Reviewer: Hamza El Azhar (El Jadida) MSC: 44A60 47B25 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Henrion, Didier; Korda, Milan; Lasserre, Jean B. The moment-SOS hierarchy. Lectures in probability, statistics, computational geometry, control and nonlinear PDEs. (English) Zbl 1485.90001 Series on Optimization and Its Applications 4. Hackensack, NJ: World Scientific (ISBN 978-1-78634-853-1/hbk; 978-1-78634-855-5/ebook). xvii, 229 p. (2021). Reviewer: Nirode C. Mohanty (Huntington Beach) MSC: 90-01 60-01 62-02 90C25 90C05 90C39 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Zheming; Jungers, Raphaël M.; Ong, Chong Jin Computation of the maximal invariant set of discrete-time linear systems subject to a class of non-convex constraints. (English) Zbl 1461.93295 Automatica 125, Article ID 109463, 12 p. (2021). MSC: 93C55 93C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Viu-Sos, Juan A semi-canonical reduction for periods of Kontsevich-Zagier. (English) Zbl 1467.14040 Int. J. Number Theory 17, No. 1, 147-174 (2021). Reviewer: Michel Waldschmidt (Paris) MSC: 14E15 11J81 11Y99 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bik, Arthur; Czapliński, Adam; Wageringel, Markus Semi-algebraic properties of Minkowski sums of a twisted cubic segment. (English) Zbl 1455.14111 Collect. Math. 72, No. 1, 87-107 (2021). MSC: 14P10 14Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cluckers, Raf; Friedland, Omer; Yomdin, Yosef Doubling coverings via resolution of singularities and preparation. (English) Zbl 1457.14031 Commun. Contemp. Math. 23, No. 2, Article ID 2050018, 23 p. (2021). Reviewer: Fujita Masato (Kure) MSC: 14E15 14P10 03C64 32B20 28D20 58K20 14G05 37C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Safey El Din, Mohab; Yang, Zhi-Hong; Zhi, Lihong Computing real radicals and \(S\)-radicals of polynomial systems. (English) Zbl 1448.14061 J. Symb. Comput. 102, 259-278 (2021). MSC: 14Q30 14P10 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Neumann, Eike; Ouaknine, Joël; Worrell, James On ranking function synthesis and termination for polynomial programs. (English) Zbl 07559471 Konnov, Igor (ed.) et al., 31st international conference on concurrency theory. CONCUR 2020, September 1–4, 2020, Vienna, Austria, virtual conference. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 171, Article 15, 15 p. (2020). MSC: 68Q85 × Cite Format Result Cite Review PDF Full Text: DOI
A’Campo, Norbert Signatures of monic polynomials. (English) Zbl 1477.14091 Ohshika, Ken’ichi (ed.) et al., In the tradition of Thurston. Geometry and topology. Cham: Springer. 527-543 (2020). MSC: 14P10 26C10 54B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le, Huu Phuoc; Din, Mohab Safey El; de Wolff, Timo Computing the real isolated points of an algebraic hypersurface. (English) Zbl 1520.14110 Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM). 297-304 (2020). Reviewer: Ocean Teng (Beijing) MSC: 14Q30 14P05 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hieu, Vu Trung Solution maps of polynomial variational inequalities. (English) Zbl 1458.14064 J. Glob. Optim. 77, No. 4, 807-824 (2020). Reviewer: Tien-Son Pham (Dalat) MSC: 14P10 90C33 90C31 54C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pham, Tien-Son Local minimizers of semi-algebraic functions from the viewpoint of tangencies. (English) Zbl 1442.14180 SIAM J. Optim. 30, No. 3, 1777-1794 (2020). Reviewer: Tadeusz Krasiński (Łódź) MSC: 14P10 65K10 26D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jitomirskaya, Svetlana; Liu, Wencai; Shi, Yunfeng Anderson localization for multi-frequency quasi-periodic operators on \(\mathbb{Z}^d\). (English) Zbl 07219753 Geom. Funct. Anal. 30, No. 2, 457-481 (2020). MSC: 47-XX 37C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hieu, Vu Trung An application of the Tarski-Seidenberg theorem with quantifiers to vector variational inequalities. (English) Zbl 1440.14267 Minimax Theory Appl. 5, No. 1, 19-31 (2020). Reviewer: Tien-Son Pham (Dalat) MSC: 14P10 49J40 90C29 90C33 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Burguet, David Periodic expansiveness of smooth surface diffeomorphisms and applications. (English) Zbl 1437.37052 J. Eur. Math. Soc. (JEMS) 22, No. 2, 413-454 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37E30 37B40 37E10 37C05 37C25 37D25 28D20 37C40 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goaoc, Xavier; Holmsen, Andreas; Nicaud, Cyril An experimental study of forbidden patterns in geometric permutations by combinatorial lifting. (English) Zbl 07559240 Barequet, Gill (ed.) et al., 35th international symposium on computational geometry, SoCG 2019, Portland, Oregon, USA, June 18–21, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 129, Article 40, 16 p. (2019). MSC: 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, Pankaj K.; Aronov, Boris; Ezra, Esther; Zahl, Joshua An efficient algorithm for generalized polynomial partitioning and its applications. (English) Zbl 1542.14071 Barequet, Gill (ed.) et al., 35th international symposium on computational geometry, SoCG 2019, Portland, Oregon, USA, June 18–21, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 129, Article 5, 14 p. (2019). Reviewer: Aris Daniilidis (Wien) MSC: 14P10 68W20 52B55 03C10 68P05 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Lairez, Pierre; Mezzarobba, Marc; Safey El Din, Mohab Computing the volume of compact semi-algebraic sets. (English) Zbl 1467.14139 Bradford, Russell (ed.), Proceedings of the 44th international symposium on symbolic and algebraic computation, ISSAC ’19, Beijing, China, July 15–18, 2019. New York, NY: Association for Computing Machinery (ACM). 259-266 (2019). MSC: 14P10 14Q20 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Hughes, Timothy H.; Morelli, Alessandro; Smith, Malcolm C. On a concept of genericity for RLC networks. (English) Zbl 1428.93015 Syst. Control Lett. 134, Article ID 104562, 8 p. (2019). MSC: 93A15 93B03 94C05 93C20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Crespo, Luis G.; Colbert, Brendon K.; Kenny, Sean P.; Giesy, Daniel P. On the quantification of aleatory and epistemic uncertainty using sliced-normal distributions. (English) Zbl 1428.93036 Syst. Control Lett. 134, Article ID 104560, 10 p. (2019). MSC: 93B30 93C35 62P30 × Cite Format Result Cite Review PDF Full Text: DOI
Kriel, Tom-Lukas; Schweighofer, Markus On the exactness of Lasserre relaxations and pure states over real closed fields. (English) Zbl 1432.13019 Found. Comput. Math. 19, No. 6, 1223-1263 (2019). Reviewer: Valeriu Popa (Chişinău) MSC: 13J30 90C22 14P10 46L30 52A20 52A41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lasserre, Jean B. Volume of sublevel sets of homogeneous polynomials. (English) Zbl 1461.65170 SIAM J. Appl. Algebra Geom. 3, No. 2, 372-389 (2019). MSC: 65K05 68U05 65D18 65D30 65F15 68W25 68W30 90C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Elazar, Boaz Quasi-Nash varieties and Schwartz functions on them. (English) Zbl 1458.14066 Isr. J. Math. 232, No. 2, 589-629 (2019). Reviewer: Alexander Kovačec (Coimbra) MSC: 14P20 14P05 14P10 46E99 × Cite Format Result Cite Review PDF Full Text: DOI
Campesato, Jean-Baptiste; Fukui, Toshizumi; Kurdyka, Krzysztof; Parusiński, Adam Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets. (English) Zbl 1436.14094 Math. Ann. 374, No. 1-2, 211-251 (2019). Reviewer: Immanuel Halupczok (Leeds) MSC: 14P20 26A16 14E18 14B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hieu, Vu Trung On the R0-tensors and the solution map of tensor complementarity problems. (English) Zbl 1414.90338 J. Optim. Theory Appl. 181, No. 1, 163-183 (2019). MSC: 90C33 90C31 14P10 54C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hieu, Vu Trung On the numbers of connected components in the solution sets of polynomial vector variational inequalities. (English) Zbl 1414.90312 J. Optim. Theory Appl. 181, No. 1, 95-100 (2019). MSC: 90C29 90C33 49J40 14P10 × Cite Format Result Cite Review PDF Full Text: DOI
de Berg, Mark; Kisfaludi-Bak, Sándor; Woeginger, Gerhard The complexity of dominating set in geometric intersection graphs. (English) Zbl 1421.68071 Theor. Comput. Sci. 769, 18-31 (2019). MSC: 68Q25 05C62 05C69 68Q17 × Cite Format Result Cite Review PDF Full Text: DOI
da Silva, André Belotto; Buendía, Jose Ginés Espín Topological classification of limit periodic sets of polynomial planar vector fields. (English) Zbl 1478.34034 Publ. Mat., Barc. 63, No. 1, 105-123 (2019). Reviewer: Yanqin Xiong (Nanjing) MSC: 34C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Riener, Cordian; Safey el Din, Mohab Real root finding for equivariant semi-algebraic systems. (English) Zbl 1467.14140 Arreche, Carlos (ed.), Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16–19, 2018. New York, NY: Association for Computing Machinery (ACM). 335-342 (2018). MSC: 14P10 65H04 68W05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dutertre, Nicolas Topology of real singularities. (English) Zbl 1405.58020 Araújo dos Santos, Raimundo Nonato (ed.) et al., Singularities and foliations. Geometry, topology and applications. BMMS 2/NBMS 3, Salvador, Brazil, 2015. Proceedings of the 3rd singularity theory meeting, ENSINO, July 8–11, 2015 and the Brazil-Mexico 2nd meeting of singularities, July 13–17, 2015. Cham: Springer (ISBN 978-3-319-73638-9/hbk; 978-3-319-73639-6/ebook). Springer Proceedings in Mathematics & Statistics 222, 51-88 (2018). MSC: 58K15 58K65 14P10 × Cite Format Result Cite Review PDF Full Text: DOI
Basu, Saugata; Riener, Cordian On the equivariant Betti numbers of symmetric definable sets: vanishing, bounds and algorithms. (English) Zbl 1397.14037 Sel. Math., New Ser. 24, No. 4, 3241-3281 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F25 14P10 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Jae Hyoung; Lee, Gue Myung; Phạm, Tien-Son Genericity and Hölder stability in semi-algebraic variational inequalities. (English) Zbl 1394.90470 J. Optim. Theory Appl. 178, No. 1, 56-77 (2018). MSC: 90C26 90C31 14P10 49K40 × Cite Format Result Cite Review PDF Full Text: DOI
Seigal, Anna Gram determinants of real binary tensors. (English) Zbl 1390.15083 Linear Algebra Appl. 544, 350-369 (2018). Reviewer: John D. Dixon (Ottawa) MSC: 15A69 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Basu, Saugata; Rizzie, Anthony Multi-degree bounds on the Betti numbers of real varieties and semi-algebraic sets and applications. (English) Zbl 1401.14228 Discrete Comput. Geom. 59, No. 3, 553-620 (2018). MSC: 14P10 14P25 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basu, Saugata Algorithms in real algebraic geometry: a survey. (English) Zbl 1398.14062 Bekka, K. (ed.) et al., Real algebraic geometry. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-857-2/pbk). Panoramas et Synthèses 51, 107-153 (2017). MSC: 14Q15 14P10 14P25 68W30 × Cite Format Result Cite Review PDF Full Text: arXiv Backlinks: MO
Kech, Michael; Wolf, Michael M. Constrained quantum tomography of semi-algebraic sets with applications to low-rank matrix recovery. (English) Zbl 1386.94010 Inf. Inference 6, No. 2, 171-195 (2017). MSC: 94A08 81Q10 81Q80 81P50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vaiter, Samuel; Deledalle, Charles; Fadili, Jalal; Peyré, Gabriel; Dossal, Charles The degrees of freedom of partly smooth regularizers. (English) Zbl 1382.62027 Ann. Inst. Stat. Math. 69, No. 4, 791-832 (2017). Reviewer: Oleksandr Kukush (Kyïv) MSC: 62H12 62J12 62G08 62J07 49J52 90C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Si Tiep Dinh; Huy Vui Ha; Tien Son Pham Hölder-type global error bounds for non-degenerate polynomial systems. (English) Zbl 1375.32017 Acta Math. Vietnam. 42, No. 3, 563-585 (2017). MSC: 32B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Qiuye; Li, Yangjia; Xia, Bican; Zhan, Naijun Generating semi-algebraic invariants for non-autonomous polynomial hybrid systems. (English) Zbl 1420.68244 J. Syst. Sci. Complex. 30, No. 1, 234-252 (2017). MSC: 68W30 93B25 93C30 × Cite Format Result Cite Review PDF Full Text: DOI
Lasserre, Jean B. Computing Gaussian & exponential measures of semi-algebraic sets. (English) Zbl 1370.28002 Adv. Appl. Math. 91, 137-163 (2017). MSC: 28A75 14P10 90C22 65C60 65K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Darnière, Luck; Halupczok, Immanuel Cell decomposition and classification of definable sets in \(p\)-optimal fields. (English) Zbl 1386.03033 J. Symb. Log. 82, No. 1, 120-136 (2017); erratum ibid. 83, No. 4, 1722 (2018). Reviewer: Beibut Kulpeshov (Almaty) MSC: 03C40 12J10 11F85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Johnson, Charles R.; Leal-Duarte, António On the solvability of derived matrix problems, including completions and duals. (English) Zbl 1349.14180 Linear Algebra Appl. 514, 165-173 (2017). MSC: 14P10 15A99 × Cite Format Result Cite Review PDF Full Text: DOI
Basu, Saugata; Riener, Cordian Bounding the equivariant Betti numbers of symmetric semi-algebraic sets. (English) Zbl 1423.14331 Adv. Math. 305, 803-855 (2017). MSC: 14P10 14P25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vigeral, Guillaume; Viossat, Yannick Semi-algebraic sets and equilibria of binary games. (English) Zbl 1408.91006 Oper. Res. Lett. 44, No. 1, 19-24 (2016). MSC: 91A06 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chonev, Ventsislav; Ouaknine, Joël; Worrell, James On the Skolem problem for continuous linear dynamical systems. (English) Zbl 1388.68043 Chatzigiannakis, Ioannis (ed.) et al., 43rd international colloquium on automata, languages, and programming, ICALP 2016, Rome, Italy, July 12–15, 2016. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-013-2). LIPIcs – Leibniz International Proceedings in Informatics 55, Article 100, 13 p. (2016). MSC: 68Q05 11U05 14P10 34A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yao, Lijuan The \(Z\)-semi-algebraic partially ordered sets. (Chinese. English summary) Zbl 1389.06019 Fuzzy Syst. Math. 30, No. 5, 98-100 (2016). MSC: 06B35 06A11 × Cite Format Result Cite Review PDF
Razenshteyn, Ilya; Song, Zhao; Woodruff, David P. Weighted low rank approximations with provable guarantees. (English) Zbl 1378.65093 Wichs, Daniel (ed.) et al., Proceedings of the 48th annual ACM SIGACT symposium on theory of computing, STOC ’16, Cambridge, MA, USA, June 19–21, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4132-5). 250-263 (2016). MSC: 65F30 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Athanasopoulos, Nikolaos; Jungers, Raphaël M. Computing the domain of attraction of switching systems subject to non-convex constraints. (English) Zbl 1364.93377 Proceedings of the 19th ACM international conference on hybrid systems: computation and control, HSCC 2016, Vienna, Austria, April 12–14, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3955-1). 41-50 (2016). MSC: 93C30 93B03 93D20 93C05 90C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kahle, Thomas; Oelbermann, Kai-Friederike; Schwabe, Rainer Algebraic geometry of Poisson regression. (English) Zbl 1362.62152 J. Algebr. Stat. 7, No. 1, 29-44 (2016). MSC: 62K05 62J12 13P25 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dutertre, N.; Moya-Pérez, J. A. Topological formulas for closed semi-algebraic sets by Euler integration. (English) Zbl 1359.14051 Nabarro, Ana Claudia (ed.) et al., Real and complex singularities. XIII international workshop on real and complex singularities, São Carlos, Brazil, July 27 – August 8, 2014 in honor of María del Carmen Romero Fuster’s 60th birthday. Proceedings. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME) (ISBN 978-1-4704-2205-9/pbk; 978-1-4704-3558-5/ebook). Contemporary Mathematics 675, 89-102 (2016). MSC: 14P10 14P25 × Cite Format Result Cite Review PDF Full Text: DOI
Dutertre, Nicolas; Araújo dos Santos, Raimundo; Chen, Ying; Andrade do Espirito Santo, Antonio Fibration structures and formulae for the Euler characteristics of Milnor fibers. (English) Zbl 1360.32026 RIMS Kôkyûroku Bessatsu B55, 41-65 (2016). MSC: 32S55 14P15 57R45 58K05 32-02 14-02 57-02 58-02 × Cite Format Result Cite Review PDF
Kourganoff, Mickaël Universality theorems for linkages in homogeneous surfaces. (English) Zbl 1375.51011 Geom. Dedicata 185, 35-85 (2016). MSC: 51M09 14P05 14P10 53B30 55R80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kahle, Thomas On the feasibility of semi-algebraic sets in Poisson regression. (English) Zbl 1439.62255 Greuel, Gert-Martin (ed.) et al., Mathematical software – ICMS 2016. 5th international conference, Berlin, Germany, July 11–14, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9725, 142-147 (2016). MSC: 62R01 62K20 62J12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Funk, Quentin Homology classes of semi-algebraic sets and mass minimization. (English) Zbl 1345.49054 Indiana Univ. Math. J. 65, No. 2, 641-663 (2016). Reviewer: Vasile Oproiu (Iaşi) MSC: 49Q15 49Q20 14P10 55N35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Valette, Anna; Valette, Guillaume A generalized Sard theorem on real closed fields. (English) Zbl 1343.58019 Math. Nachr. 289, No. 5-6, 748-755 (2016). Reviewer: Dorin Andrica (Riyadh) MSC: 58K05 14P10 57R35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basu, Saugata; Sombra, Martín Polynomial partitioning on varieties of codimension two and point-hypersurface incidences in four dimensions. (English) Zbl 1332.13017 Discrete Comput. Geom. 55, No. 1, 158-184 (2016). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 13D40 14P25 52C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dinh, Si Tiep; Kurdyka, Krzysztof Horizontal gradient of polynomial functions for the standard Engel structure on \(\mathbb R^4\). (English) Zbl 1333.14057 J. Dyn. Control Syst. 22, No. 1, 15-34 (2016). Reviewer: Dorin Andrica (Riyadh) MSC: 14P10 53C17 58A30 58Kxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sinn, Rainer Algebraic boundaries of convex semi-algebraic sets. (English) Zbl 1381.52007 Res. Math. Sci. 2, Paper No. 3, 18 p. (2015). MSC: 52A20 14N05 14P10 51N35 14Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lasserre, Jean Bernard; Putinar, Mihai Algebraic-exponential data recovery from moments. (English) Zbl 1342.14118 Discrete Comput. Geom. 54, No. 4, 993-1012 (2015). Reviewer: Aris Daniilidis (Santiago) MSC: 14P10 13P25 44A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Drusvyatskiy, D.; Ioffe, A. D. Quadratic growth and critical point stability of semi-algebraic functions. (English) Zbl 1325.49021 Math. Program. 153, No. 2 (A), 635-653 (2015). MSC: 49J52 49J53 90C31 49K21 54C60 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Phillips, Laura R. Positive primitive formulae of modules over rings of semi-algebraic functions on a curve. (English) Zbl 1360.03076 Arch. Math. Logic 54, No. 5-6, 587-614 (2015). Reviewer: Beibut Kulpeshov (Almaty) MSC: 03C60 14P10 03C64 03C10 × Cite Format Result Cite Review PDF Full Text: DOI
Lasserre, Jean B. Tractable approximations of sets defined with quantifiers. (English) Zbl 1328.90100 Math. Program. 151, No. 2 (B), 507-527 (2015). MSC: 90C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ferrarotti, M.; Fortuna, E.; Wilson, L. Local algebraic approximation of semianalytic sets. (English) Zbl 1319.14058 Proc. Am. Math. Soc. 143, No. 1, 13-23 (2015). Reviewer: Tobias Kaiser (Passau) MSC: 14P15 32B20 32S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lewis, Adrian S. Nonsmooth optimization: conditioning, convergence and semi-algebraic models. (English) Zbl 1373.90157 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. IV: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-807-0/hbk; 978-89-6105-803-2/set). 871-895 (2014). MSC: 90C31 49K40 65K10 90C30 14P10 93D20 × Cite Format Result Cite Review PDF
Li, Yi A recursive decision method for termination of linear programs. (English) Zbl 1345.68110 Watt, Stephen M. (ed.) et al., Proceedings of the 2014 symposium on symbolic-numeric computation, SNC 2014, Shanghai, China, July 28–31, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2963-7). 97-106 (2014). MSC: 68N30 × Cite Format Result Cite Review PDF Full Text: DOI
Halupczok, Immanuel Stratifications in valued fields. (English) Zbl 1345.03069 Campillo, Antonio (ed.) et al., Valuation theory in interaction. Proceedings of the 2nd international conference and workshop on valuation theory, Segovia and El Escorial, Spain, July 18–29, 2011. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-149-1/hbk). EMS Series of Congress Reports, 288-296 (2014). MSC: 03C60 12L12 12J25 14P10 32P05 32S60 × Cite Format Result Cite Review PDF
Gao, Ben Description of the connected components of arrangements. (Chinese. English summary) Zbl 1313.14007 Pure Appl. Math. 30, No. 2, 154-165 (2014). MSC: 14P10 × Cite Format Result Cite Review PDF Full Text: DOI
Jeyakumar, V.; Lasserre, J. B.; Li, G. On polynomial optimization over non-compact semi-algebraic sets. (English) Zbl 1302.90208 J. Optim. Theory Appl. 163, No. 3, 707-718 (2014). MSC: 90C30 90C26 14P10 90C46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kucharz, Wojciech Approximation by continuous rational maps into spheres. (English) Zbl 1314.14105 J. Eur. Math. Soc. (JEMS) 16, No. 8, 1555-1569 (2014). Reviewer: Stanisław Spodzieja (Łódź) MSC: 14P05 14P25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barone, Sal; Basu, Saugata On homotopy types of limits of semi-algebraic sets and additive complexity of polynomials. (English) Zbl 1333.14056 J. Eur. Math. Soc. (JEMS) 16, No. 8, 1527-1554 (2014). Reviewer: Carlos D’Andrea (Barcelona) MSC: 14P10 14P25 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Portelli, Dario A remark on the generalized Hodge conjecture. (English) Zbl 1320.14013 Math. Z. 278, No. 1-2, 1-17 (2014). Reviewer: Alberto Collino (Torino) MSC: 14C30 14C15 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Conlon, David; Fox, Jacob; Pach, János; Sudakov, Benny; Suk, Andrew Ramsey-type results for semi-algebraic relations. (English) Zbl 1306.14027 Trans. Am. Math. Soc. 366, No. 9, 5043-5065 (2014). Reviewer: Noémie Combe (Marseille) MSC: 14P10 05D10 14Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Martin, Florent Cohomology of locally closed semi-algebraic subsets. (English) Zbl 1300.14028 Manuscr. Math. 144, No. 3-4, 373-400 (2014). Reviewer: Lei Fu (Tianjin) MSC: 14G22 14F20 14P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Critch, Andrew Binary hidden Markov models and varieties. (English) Zbl 1346.13057 J. Algebr. Stat. 4, No. 1, Spec. Iss., 1-30 (2013). MSC: 13P10 60J22 14E05 14E08 14P10 14Q15 62M02 62M05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Conlon, David; Fox, Jacob; Pach, János; Sudakov, Benny; Suk, Andrew Ramsey-type results for semi-algebraic relations. (English) Zbl 1305.68223 Proceedings of the 29th annual symposium on computational geometry, SoCG 2013, Rio de Janeiro, Brazil, June 17–20, 2013. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2031-3). 309-318 (2013). MSC: 68U05 05C65 05D10 68R05 68R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Elkhadiri, Abdelhafed On some global semianalytic sets. (Sur certains ensembles semianalytiques globaux.) (English. French summary) Zbl 1315.03045 Ann. Inst. Fourier 63, No. 5, 1771-1791 (2013). MSC: 03C10 32B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam