Agarwal, Sameer; Duff, Timothy; Lieblich, Max; Thomas, Rekha R. An atlas for the pinhole camera. (English) Zbl 07808386 Found. Comput. Math. 24, No. 1, 227-277 (2024). MSC: 13P10 14Qxx 14Nxx 68T45 PDFBibTeX XMLCite \textit{S. Agarwal} et al., Found. Comput. Math. 24, No. 1, 227--277 (2024; Zbl 07808386) Full Text: DOI arXiv
Falk, Richard S.; Winther, Ragnar The bubble transform and the de Rham complex. (English) Zbl 07808383 Found. Comput. Math. 24, No. 1, 99-147 (2024). MSC: 65N30 52-08 58A12 58A10 65N50 65N55 PDFBibTeX XMLCite \textit{R. S. Falk} and \textit{R. Winther}, Found. Comput. Math. 24, No. 1, 99--147 (2024; Zbl 07808383) Full Text: DOI arXiv
Helmer, Martin; Nanda, Vidit Conormal spaces and Whitney stratifications. (English) Zbl 07749824 Found. Comput. Math. 23, No. 5, 1745-1780 (2023). MSC: 14B05 14Q20 32S15 32S60 PDFBibTeX XMLCite \textit{M. Helmer} and \textit{V. Nanda}, Found. Comput. Math. 23, No. 5, 1745--1780 (2023; Zbl 07749824) Full Text: DOI arXiv OA License
Diehl, Joscha; Preiß, Rosa; Ruddy, Michael; Tapia, Nikolas The moving-frame method for the iterated-integrals signature: orthogonal invariants. (English) Zbl 07735212 Found. Comput. Math. 23, No. 4, 1273-1333 (2023). MSC: 14Q30 14L24 16T05 17B01 22E60 53A04 60L10 PDFBibTeX XMLCite \textit{J. Diehl} et al., Found. Comput. Math. 23, No. 4, 1273--1333 (2023; Zbl 07735212) Full Text: DOI arXiv
Beltrán, Carlos; Breiding, Paul; Vannieuwenhoven, Nick The average condition number of most tensor rank decomposition problems is infinite. (English) Zbl 1511.15020 Found. Comput. Math. 23, No. 2, 433-491 (2023). MSC: 15A69 65F35 14Q20 PDFBibTeX XMLCite \textit{C. Beltrán} et al., Found. Comput. Math. 23, No. 2, 433--491 (2023; Zbl 1511.15020) Full Text: DOI arXiv
Criado, Francisco; Joswig, Michael; Santos, Francisco Tropical bisectors and Voronoi diagrams. (English) Zbl 1511.14106 Found. Comput. Math. 22, No. 6, 1923-1960 (2022). MSC: 14T15 46B20 52B55 PDFBibTeX XMLCite \textit{F. Criado} et al., Found. Comput. Math. 22, No. 6, 1923--1960 (2022; Zbl 1511.14106) Full Text: DOI arXiv
Breiding, P.; Sottile, F.; Woodcock, J. Euclidean distance degree and mixed volume. (English) Zbl 1505.14124 Found. Comput. Math. 22, No. 6, 1743-1765 (2022). Reviewer: Timothy Duff (Seattle) MSC: 14Qxx 13P25 14M25 90C26 PDFBibTeX XMLCite \textit{P. Breiding} et al., Found. Comput. Math. 22, No. 6, 1743--1765 (2022; Zbl 1505.14124) 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 PDFBibTeX XMLCite \textit{S. Basu} and \textit{C. Riener}, Found. Comput. Math. 22, No. 5, 1395--1462 (2022; Zbl 1497.14117) Full Text: DOI arXiv
Boissonnat, Jean-Daniel; Wintraecken, Mathijs The topological correctness of PL approximations of isomanifolds. (English) Zbl 1506.57015 Found. Comput. Math. 22, No. 4, 967-1012 (2022). Reviewer: Kristóf Huszár (Lyon) MSC: 57Q55 65D18 68U05 51-08 32B25 53Z50 PDFBibTeX XMLCite \textit{J.-D. Boissonnat} and \textit{M. Wintraecken}, Found. Comput. Math. 22, No. 4, 967--1012 (2022; Zbl 1506.57015) Full Text: DOI
Böhm, Janko; Decker, Wolfram; Frühbis-Krüger, Anne; Pfreundt, Franz-Josef; Rahn, Mirko; Ristau, Lukas Towards massively parallel computations in algebraic geometry. (English) Zbl 1485.14109 Found. Comput. Math. 21, No. 3, 767-806 (2021). Reviewer: Luca Chiantini (Siena) MSC: 14Q10 14B05 PDFBibTeX XMLCite \textit{J. Böhm} et al., Found. Comput. Math. 21, No. 3, 767--806 (2021; Zbl 1485.14109) Full Text: DOI arXiv
Kiefer, Lukas; Storath, Martin; Weinmann, Andreas Iterative Potts minimization for the recovery of signals with discontinuities from indirect measurements: the multivariate case. (English) Zbl 1468.94019 Found. Comput. Math. 21, No. 3, 649-694 (2021). MSC: 94A08 94A12 68U10 65D18 65K10 90C26 90C39 PDFBibTeX XMLCite \textit{L. Kiefer} et al., Found. Comput. Math. 21, No. 3, 649--694 (2021; Zbl 1468.94019) Full Text: DOI arXiv
van der Hoeven, Joris; Lecerf, Grégoire On the complexity exponent of polynomial system solving. (English) Zbl 1457.14002 Found. Comput. Math. 21, No. 1, 1-57 (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 14-04 14Q20 14B05 68W30 PDFBibTeX XMLCite \textit{J. van der Hoeven} and \textit{G. Lecerf}, Found. Comput. Math. 21, No. 1, 1--57 (2021; Zbl 1457.14002) Full Text: DOI HAL
Markwig, Thomas; Ren, Yue Computing tropical varieties over fields with valuation. (English) Zbl 1445.14085 Found. Comput. Math. 20, No. 4, 783-800 (2020). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14T10 12J25 13F25 13P10 14Q15 14P05 PDFBibTeX XMLCite \textit{T. Markwig} and \textit{Y. Ren}, Found. Comput. Math. 20, No. 4, 783--800 (2020; Zbl 1445.14085) Full Text: DOI arXiv
Grigoriev, Dima; Podolskii, Vladimir V. Tropical combinatorial Nullstellensatz and sparse polynomials. (English) Zbl 1455.14126 Found. Comput. Math. 20, No. 4, 753-781 (2020). MSC: 14T10 68W30 68R05 68Q25 14Q20 PDFBibTeX XMLCite \textit{D. Grigoriev} and \textit{V. V. Podolskii}, Found. Comput. Math. 20, No. 4, 753--781 (2020; Zbl 1455.14126) Full Text: DOI arXiv HAL
Beltrán, Carlos; Kozhasov, Khazhgali The real polynomial eigenvalue problem is well conditioned on the average. (English) Zbl 1472.14068 Found. Comput. Math. 20, No. 2, 291-309 (2020). Reviewer: Jana Chalmovianská (Bratislava) MSC: 14Q20 15A18 15A22 15B52 65F15 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{K. Kozhasov}, Found. Comput. Math. 20, No. 2, 291--309 (2020; Zbl 1472.14068) Full Text: DOI arXiv
Bürgisser, Peter; Cucker, Felipe; Tonelli-Cueto, Josué Computing the homology of semialgebraic sets. I: Lax formulas. (English) Zbl 1440.14264 Found. Comput. Math. 20, No. 1, 71-118 (2020). Reviewer: Nelly Villamizar (Swansea) MSC: 14P10 65D18 65Y20 68Q25 PDFBibTeX XMLCite \textit{P. Bürgisser} et al., Found. Comput. Math. 20, No. 1, 71--118 (2020; Zbl 1440.14264) Full Text: DOI arXiv
Katthän, Lukas; Michałek, Mateusz; Miller, Ezra When is a polynomial ideal binomial after an ambient automorphism? (English) Zbl 1429.13010 Found. Comput. Math. 19, No. 6, 1363-1385 (2019). Reviewer: Nil Şahin (Ankara) MSC: 13A50 13F20 13F65 14L30 14L40 14M25 14Q20 68W30 14D06 PDFBibTeX XMLCite \textit{L. Katthän} et al., Found. Comput. Math. 19, No. 6, 1363--1385 (2019; Zbl 1429.13010) Full Text: DOI arXiv
Benamou, Jean-David; Gallouët, Thomas O.; Vialard, François-Xavier Second-order models for optimal transport and cubic splines on the Wasserstein Space. (English) Zbl 1482.49051 Found. Comput. Math. 19, No. 5, 1113-1143 (2019). Reviewer: Wojciech Górny (Warszawa) MSC: 49Q22 90B06 49M99 65D99 PDFBibTeX XMLCite \textit{J.-D. Benamou} et al., Found. Comput. Math. 19, No. 5, 1113--1143 (2019; Zbl 1482.49051) Full Text: DOI arXiv
Burstedde, Carsten; Holke, Johannes; Isaac, Tobin On the number of face-connected components of Morton-type space-filling curves. (English) Zbl 1422.65243 Found. Comput. Math. 19, No. 4, 843-868 (2019). MSC: 65M50 65D18 65N50 PDFBibTeX XMLCite \textit{C. Burstedde} et al., Found. Comput. Math. 19, No. 4, 843--868 (2019; Zbl 1422.65243) Full Text: DOI arXiv Link
Umut Isik, M. Complexity classes and completeness in algebraic geometry. (English) Zbl 1422.14065 Found. Comput. Math. 19, No. 2, 245-258 (2019). Reviewer: Noémie Combe (Marseille) MSC: 14Q20 68Q15 PDFBibTeX XMLCite \textit{M. Umut Isik}, Found. Comput. Math. 19, No. 2, 245--258 (2019; Zbl 1422.14065) Full Text: DOI arXiv
Malajovich, Gregorio Complexity of sparse polynomial solving: homotopy on toric varieties and the condition metric. (English) Zbl 1408.65032 Found. Comput. Math. 19, No. 1, 1-53 (2019). MSC: 65H10 65H20 14M25 14Q20 65Y20 PDFBibTeX XMLCite \textit{G. Malajovich}, Found. Comput. Math. 19, No. 1, 1--53 (2019; Zbl 1408.65032) Full Text: DOI arXiv
Kileel, Joe; Kukelova, Zuzana; Pajdla, Tomas; Sturmfels, Bernd Distortion varieties. (English) Zbl 1408.14191 Found. Comput. Math. 18, No. 4, 1043-1071 (2018). Reviewer: Carlos Hermoso Ortíz (Madrid) MSC: 14Q15 13P15 68T45 14M25 13P25 14T05 68U10 PDFBibTeX XMLCite \textit{J. Kileel} et al., Found. Comput. Math. 18, No. 4, 1043--1071 (2018; Zbl 1408.14191) Full Text: DOI arXiv
Iglesias, José A.; Rumpf, Martin; Scherzer, Otmar Shape-aware matching of implicit surfaces based on thin shell energies. (English) Zbl 1408.49010 Found. Comput. Math. 18, No. 4, 891-927 (2018). MSC: 49J45 49S05 49M25 65D18 74K25 68U05 PDFBibTeX XMLCite \textit{J. A. Iglesias} et al., Found. Comput. Math. 18, No. 4, 891--927 (2018; Zbl 1408.49010) Full Text: DOI arXiv
Charon, N.; Charlier, B.; Trouvé, A. Metamorphoses of functional shapes in Sobolev spaces. (English) Zbl 1403.49021 Found. Comput. Math. 18, No. 6, 1535-1596 (2018). Reviewer: Andrew Bucki (Edmond) MSC: 49M25 49Q20 58E50 58J90 65K10 68U05 49Q10 PDFBibTeX XMLCite \textit{N. Charon} et al., Found. Comput. Math. 18, No. 6, 1535--1596 (2018; Zbl 1403.49021) Full Text: DOI arXiv
Mourrain, Bernard Polynomial-exponential decomposition from moments. (English) Zbl 1427.14119 Found. Comput. Math. 18, No. 6, 1435-1492 (2018). Reviewer: Carlos D’Andrea (Barcelona) MSC: 14Q20 68W30 47B35 15B05 PDFBibTeX XMLCite \textit{B. Mourrain}, Found. Comput. Math. 18, No. 6, 1435--1492 (2018; Zbl 1427.14119) Full Text: DOI arXiv
Carrière, Mathieu; Oudot, Steve Structure and stability of the one-dimensional Mapper. (English) Zbl 1412.55017 Found. Comput. Math. 18, No. 6, 1333-1396 (2018). Reviewer: James Peters (Winnipeg) MSC: 55U10 68U05 PDFBibTeX XMLCite \textit{M. Carrière} and \textit{S. Oudot}, Found. Comput. Math. 18, No. 6, 1333--1396 (2018; Zbl 1412.55017) Full Text: DOI arXiv
Alonso, M. E.; Castro-Jiménez, F. J.; Hauser, Herwig Encoding algebraic power series. (English) Zbl 1406.13032 Found. Comput. Math. 18, No. 3, 789-833 (2018). Reviewer: Francesca Cioffi (Napoli) MSC: 13P10 13J05 14Q20 16W60 30H50 32A05 32A38 PDFBibTeX XMLCite \textit{M. E. Alonso} et al., Found. Comput. Math. 18, No. 3, 789--833 (2018; Zbl 1406.13032) Full Text: DOI arXiv
Boissonnat, Jean-Daniel; Dyer, Ramsay; Ghosh, Arijit Delaunay triangulation of manifolds. (English) Zbl 1395.57032 Found. Comput. Math. 18, No. 2, 399-431 (2018). Reviewer: Massimo Ferri (Bologna) MSC: 57R05 52B70 54B15 68U05 PDFBibTeX XMLCite \textit{J.-D. Boissonnat} et al., Found. Comput. Math. 18, No. 2, 399--431 (2018; Zbl 1395.57032) Full Text: DOI arXiv
Olive, Marc About Gordan’s algorithm for binary forms. (English) Zbl 1408.13017 Found. Comput. Math. 17, No. 6, 1407-1466 (2017). Reviewer: Jon Elmer (Aberdeen) MSC: 13A50 13P10 14Q99 PDFBibTeX XMLCite \textit{M. Olive}, Found. Comput. Math. 17, No. 6, 1407--1466 (2017; Zbl 1408.13017) Full Text: DOI arXiv
Malajovich, Gregorio Computing mixed volume and all mixed cells in quermassintegral time. (English) Zbl 1383.65050 Found. Comput. Math. 17, No. 5, 1293-1334 (2017). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65H10 52A39 14M25 14N10 52B55 65H20 65D18 PDFBibTeX XMLCite \textit{G. Malajovich}, Found. Comput. Math. 17, No. 5, 1293--1334 (2017; Zbl 1383.65050) Full Text: DOI arXiv
Bachmayr, Markus; Schneider, Reinhold Iterative methods based on soft thresholding of hierarchical tensors. (English) Zbl 1397.65243 Found. Comput. Math. 17, No. 4, 1037-1083 (2017). Reviewer: Adriano Festa (Rouen) MSC: 65N22 41A46 41A63 65D99 65F10 65N12 65N15 PDFBibTeX XMLCite \textit{M. Bachmayr} and \textit{R. Schneider}, Found. Comput. Math. 17, No. 4, 1037--1083 (2017; Zbl 1397.65243) Full Text: DOI arXiv
Dias, Luis Renato G.; Tanabé, Susumu; Tibăr, Mihai Toward effective detection of the bifurcation locus of real polynomial maps. (English) Zbl 1454.32018 Found. Comput. Math. 17, No. 3, 837-849 (2017). MSC: 32S05 14D06 58K05 14R25 14P10 14Q20 32S20 57R45 58K15 PDFBibTeX XMLCite \textit{L. R. G. Dias} et al., Found. Comput. Math. 17, No. 3, 837--849 (2017; Zbl 1454.32018) Full Text: DOI arXiv
Alper, Jarod; Bogart, Tristram; Velasco, Mauricio A lower bound for the determinantal complexity of a hypersurface. (English) Zbl 1375.14201 Found. Comput. Math. 17, No. 3, 829-836 (2017). Reviewer: Noémie Combe (Marseille) MSC: 14Q20 14Q15 68Q05 68Q17 14M12 14J70 14J17 PDFBibTeX XMLCite \textit{J. Alper} et al., Found. Comput. Math. 17, No. 3, 829--836 (2017; Zbl 1375.14201) Full Text: DOI arXiv
Goswami, Mayank; Gu, Xianfeng; Pingali, Vamsi P.; Telang, Gaurish Computing Teichmüller maps between polygons. (English) Zbl 1375.30008 Found. Comput. Math. 17, No. 2, 497-526 (2017). Reviewer: Fahreddin Abdullayev (Mersin) MSC: 30C30 65D18 68U05 30F60 PDFBibTeX XMLCite \textit{M. Goswami} et al., Found. Comput. Math. 17, No. 2, 497--526 (2017; Zbl 1375.30008) Full Text: DOI arXiv
Charlier, B.; Charon, N.; Trouvé, A. The fshape framework for the variability analysis of functional shapes. (English) Zbl 1376.49054 Found. Comput. Math. 17, No. 2, 287-357 (2017). Reviewer: Martin Gugat (Erlangen) MSC: 49Q10 49M25 58B32 58E50 68U05 68U10 PDFBibTeX XMLCite \textit{B. Charlier} et al., Found. Comput. Math. 17, No. 2, 287--357 (2017; Zbl 1376.49054) Full Text: DOI arXiv
Gabrielov, Andrei; Vorobjov, Nicolai On topological lower bounds for algebraic computation trees. (English) Zbl 1365.14080 Found. Comput. Math. 17, No. 1, 61-72 (2017). MSC: 14Q20 14P10 14P25 68Q17 PDFBibTeX XMLCite \textit{A. Gabrielov} and \textit{N. Vorobjov}, Found. Comput. Math. 17, No. 1, 61--72 (2017; Zbl 1365.14080) Full Text: DOI arXiv
Bauer, Ulrich; Munk, Axel; Sieling, Hannes; Wardetzky, Max Persistence barcodes versus Kolmogorov signatures: detecting modes of one-dimensional signals. (English) Zbl 1367.62086 Found. Comput. Math. 17, No. 1, 1-33 (2017). MSC: 62G05 62G20 68U05 62H12 57R70 58E05 PDFBibTeX XMLCite \textit{U. Bauer} et al., Found. Comput. Math. 17, No. 1, 1--33 (2017; Zbl 1367.62086) Full Text: DOI arXiv
Kahle, Thomas; Michałek, Mateusz Plethysm and lattice point counting. (English) Zbl 1394.20024 Found. Comput. Math. 16, No. 5, 1241-1261 (2016). MSC: 20G05 11P21 11H06 05A16 52B20 52B55 20C15 PDFBibTeX XMLCite \textit{T. Kahle} and \textit{M. Michałek}, Found. Comput. Math. 16, No. 5, 1241--1261 (2016; Zbl 1394.20024) Full Text: DOI arXiv
Duchamp, Tom; Xie, Gang; Yu, Thomas A necessary and sufficient proximity condition for smoothness equivalence of nonlinear subdivision schemes. (English) Zbl 1359.41005 Found. Comput. Math. 16, No. 5, 1069-1114 (2016). MSC: 41A25 26B05 22E05 68U05 PDFBibTeX XMLCite \textit{T. Duchamp} et al., Found. Comput. Math. 16, No. 5, 1069--1114 (2016; Zbl 1359.41005) Full Text: DOI
Hauenstein, Jonathan D.; Hein, Nickolas; Sottile, Frank A primal-dual formulation for certifiable computations in Schubert calculus. (English) Zbl 1360.14126 Found. Comput. Math. 16, No. 4, 941-963 (2016). Reviewer: Cenap Özel (Bolu) MSC: 14N15 14Q20 65H10 PDFBibTeX XMLCite \textit{J. D. Hauenstein} et al., Found. Comput. Math. 16, No. 4, 941--963 (2016; Zbl 1360.14126) Full Text: DOI arXiv
Cerri, Andrea; Landi, Claudia Hausdorff stability of persistence spaces. (English) Zbl 1358.55005 Found. Comput. Math. 16, No. 2, 343-367 (2016). Reviewer: Massimo Ferri (Bologna) MSC: 55N99 68U05 PDFBibTeX XMLCite \textit{A. Cerri} and \textit{C. Landi}, Found. Comput. Math. 16, No. 2, 343--367 (2016; Zbl 1358.55005) Full Text: DOI
Draisma, Jan; Horobeţ, Emil; Ottaviani, Giorgio; Sturmfels, Bernd; Thomas, Rekha R. The Euclidean distance degree of an algebraic variety. (English) Zbl 1370.51020 Found. Comput. Math. 16, No. 1, 99-149 (2016). Reviewer: Aris Daniilidis (Santiago) MSC: 51N35 14N10 14M12 90C26 13P25 PDFBibTeX XMLCite \textit{J. Draisma} et al., Found. Comput. Math. 16, No. 1, 99--149 (2016; Zbl 1370.51020) Full Text: DOI arXiv Link
März, Thomas A well-posedness framework for inpainting based on coherence transport. (English) Zbl 1336.35351 Found. Comput. Math. 15, No. 4, 973-1033 (2015). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 35R10 68U10 35F15 35A30 35D30 47H10 65D18 35-04 35Q68 PDFBibTeX XMLCite \textit{T. März}, Found. Comput. Math. 15, No. 4, 973--1033 (2015; Zbl 1336.35351) Full Text: DOI Link
Bubenik, Peter; de Silva, Vin; Scott, Jonathan Metrics for generalized persistence modules. (English) Zbl 1345.55006 Found. Comput. Math. 15, No. 6, 1501-1531 (2015). Reviewer: Massimo Ferri (Bologna) MSC: 55U99 68U05 PDFBibTeX XMLCite \textit{P. Bubenik} et al., Found. Comput. Math. 15, No. 6, 1501--1531 (2015; Zbl 1345.55006) Full Text: DOI arXiv
Oudot, Steve Y.; Sheehy, Donald R. Zigzag zoology: Rips zigzags for homology inference. (English) Zbl 1335.68285 Found. Comput. Math. 15, No. 5, 1151-1186 (2015). MSC: 68U05 55N99 55U10 65D18 68T10 PDFBibTeX XMLCite \textit{S. Y. Oudot} and \textit{D. R. Sheehy}, Found. Comput. Math. 15, No. 5, 1151--1186 (2015; Zbl 1335.68285) Full Text: DOI HAL
Li, Wei; Yuan, Chun-Ming; Gao, Xiao-Shan Sparse differential resultant for Laurent differential polynomials. (English) Zbl 1315.12003 Found. Comput. Math. 15, No. 2, 451-517 (2015). MSC: 12H05 68W30 14M25 14Q99 PDFBibTeX XMLCite \textit{W. Li} et al., Found. Comput. Math. 15, No. 2, 451--517 (2015; Zbl 1315.12003) Full Text: DOI arXiv
Bank, Bernd; Giusti, Marc; Heintz, Joos; Lecerf, Grégoire; Matera, Guillermo; Solernó, Pablo Degeneracy loci and polynomial equation solving. (English) Zbl 1341.14022 Found. Comput. Math. 15, No. 1, 159-184 (2015). Reviewer: Noémie Combe (Marseille) MSC: 14M10 14M12 14Q20 14P05 68W30 PDFBibTeX XMLCite \textit{B. Bank} et al., Found. Comput. Math. 15, No. 1, 159--184 (2015; Zbl 1341.14022) Full Text: DOI arXiv
Basu, S.; Roy, M.-F.; Safey El Din, M.; Schost, É. A baby step-giant step roadmap algorithm for general algebraic sets. (English) Zbl 1322.14090 Found. Comput. Math. 14, No. 6, 1117-1172 (2014). Reviewer: Guillermo Matera (Buenos Aires) MSC: 14Q20 14P05 68W30 PDFBibTeX XMLCite \textit{S. Basu} et al., Found. Comput. Math. 14, No. 6, 1117--1172 (2014; Zbl 1322.14090) Full Text: DOI arXiv
Grigoriev, Dima; Muzychuk, Mikhail; Ponomarenko, Ilya Tensor rank: matching polynomials and Schur rings. (English) Zbl 1305.15060 Found. Comput. Math. 14, No. 3, 457-481 (2014). Reviewer: Jaydeb Sarkar (Bangalore) MSC: 15A69 13A50 14Q20 68Q17 68Q25 PDFBibTeX XMLCite \textit{D. Grigoriev} et al., Found. Comput. Math. 14, No. 3, 457--481 (2014; Zbl 1305.15060) Full Text: DOI HAL
Blumberg, Andrew J.; Gal, Itamar; Mandell, Michael A.; Pancia, Matthew Robust statistics, hypothesis testing, and confidence intervals for persistent homology on metric measure spaces. (English) Zbl 1364.55016 Found. Comput. Math. 14, No. 4, 745-789 (2014). MSC: 55U10 68U05 PDFBibTeX XMLCite \textit{A. J. Blumberg} et al., Found. Comput. Math. 14, No. 4, 745--789 (2014; Zbl 1364.55016) Full Text: DOI arXiv
Krčál, Marek; Matoušek, Jiří; Sergeraert, Francis Polynomial-time homology for simplicial Eilenberg-MacLane spaces. (English) Zbl 1295.68201 Found. Comput. Math. 13, No. 6, 935-963 (2013). Reviewer: Dae-Woong Lee (Jeonju) MSC: 68U05 55S45 55S37 PDFBibTeX XMLCite \textit{M. Krčál} et al., Found. Comput. Math. 13, No. 6, 935--963 (2013; Zbl 1295.68201) Full Text: DOI arXiv
Turner, Katharine Cone fields and topological sampling in manifolds with bounded curvature. (English) Zbl 1358.68307 Found. Comput. Math. 13, No. 6, 913-933 (2013). MSC: 68U05 53B20 55S40 PDFBibTeX XMLCite \textit{K. Turner}, Found. Comput. Math. 13, No. 6, 913--933 (2013; Zbl 1358.68307) Full Text: DOI arXiv
Blumberg, Andrew J.; Mandell, Michael A. Quantitative homotopy theory in topological data analysis. (English) Zbl 1290.55005 Found. Comput. Math. 13, No. 6, 885-911 (2013). Reviewer: Massimo Ferri (Bologna) MSC: 55U10 68U05 PDFBibTeX XMLCite \textit{A. J. Blumberg} and \textit{M. A. Mandell}, Found. Comput. Math. 13, No. 6, 885--911 (2013; Zbl 1290.55005) Full Text: DOI arXiv
Hauenstein, Jonathan D.; Wampler, Charles W. Isosingular sets and deflation. (English) Zbl 1276.65029 Found. Comput. Math. 13, No. 3, 371-403 (2013). Reviewer: Alyson Reeves (Bowie) MSC: 65H10 14Q99 68W30 65H05 13P15 PDFBibTeX XMLCite \textit{J. D. Hauenstein} and \textit{C. W. Wampler}, Found. Comput. Math. 13, No. 3, 371--403 (2013; Zbl 1276.65029) Full Text: DOI
Beltrán, Carlos; Leykin, Anton Robust certified numerical homotopy tracking. (English) Zbl 1267.14075 Found. Comput. Math. 13, No. 2, 253-295 (2013). Reviewer: Hang Lau (Montréal) MSC: 14Q20 65H20 68W30 PDFBibTeX XMLCite \textit{C. Beltrán} and \textit{A. Leykin}, Found. Comput. Math. 13, No. 2, 253--295 (2013; Zbl 1267.14075) Full Text: DOI arXiv
Scheiblechner, Peter Castelnuovo-Mumford regularity and computing the de Rham cohomology of smooth projective varieties. (English) Zbl 1258.14070 Found. Comput. Math. 12, No. 5, 541-571 (2012). MSC: 14Q20 68Q25 14F40 68W30 PDFBibTeX XMLCite \textit{P. Scheiblechner}, Found. Comput. Math. 12, No. 5, 541--571 (2012; Zbl 1258.14070) Full Text: DOI arXiv
Baldoni, V.; Berline, N.; De Loera, J. A.; Köppe, M.; Vergne, M. Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra. (English) Zbl 1255.05006 Found. Comput. Math. 12, No. 4, 435-469 (2012). MSC: 05A15 52C07 68R05 68U05 52B20 PDFBibTeX XMLCite \textit{V. Baldoni} et al., Found. Comput. Math. 12, No. 4, 435--469 (2012; Zbl 1255.05006) Full Text: DOI arXiv
Basu, Saugata A complex analogue of Toda’s theorem. (English) Zbl 1268.14016 Found. Comput. Math. 12, No. 3, 327-362 (2012). Reviewer: Josef Schicho (Linz) MSC: 14F25 14Q20 68Q15 PDFBibTeX XMLCite \textit{S. Basu}, Found. Comput. Math. 12, No. 3, 327--362 (2012; Zbl 1268.14016) Full Text: DOI arXiv
Hadani, Ronny; Singer, Amit Representation theoretic patterns in three-dimensional cryo-electron microscopy. II: The class averaging problem. (English) Zbl 1231.92046 Found. Comput. Math. 11, No. 5, 589-616 (2011). MSC: 92C55 92E10 92-08 PDFBibTeX XMLCite \textit{R. Hadani} and \textit{A. Singer}, Found. Comput. Math. 11, No. 5, 589--616 (2011; Zbl 1231.92046) Full Text: DOI arXiv
Bates, Daniel J.; Sottile, Frank Khovanskii-Rolle continuation for real solutions. (English) Zbl 1231.14047 Found. Comput. Math. 11, No. 5, 563-587 (2011). MSC: 14P05 14Q99 65H10 65H20 PDFBibTeX XMLCite \textit{D. J. Bates} and \textit{F. Sottile}, Found. Comput. Math. 11, No. 5, 563--587 (2011; Zbl 1231.14047) Full Text: DOI arXiv
Di Fabio, Barbara; Landi, Claudia A Mayer-Vietoris formula for persistent homology with an application to shape recognition in the presence of occlusions. (English) Zbl 1231.55004 Found. Comput. Math. 11, No. 5, 499-527 (2011). MSC: 55N35 68T10 68U05 PDFBibTeX XMLCite \textit{B. Di Fabio} and \textit{C. Landi}, Found. Comput. Math. 11, No. 5, 499--527 (2011; Zbl 1231.55004) Full Text: DOI
Caillerie, Claire; Michel, Bertrand Model selection for simplicial approximation. (English) Zbl 1231.62123 Found. Comput. Math. 11, No. 6, 707-731 (2011). MSC: 62H99 05E45 55U10 62H30 62H12 PDFBibTeX XMLCite \textit{C. Caillerie} and \textit{B. Michel}, Found. Comput. Math. 11, No. 6, 707--731 (2011; Zbl 1231.62123) Full Text: DOI
Mémoli, Facundo Gromov-Wasserstein distances and the metric approach to object matching. (English) Zbl 1244.68078 Found. Comput. Math. 11, No. 4, 417-487 (2011). MSC: 68U05 68T10 53C23 60D05 PDFBibTeX XMLCite \textit{F. Mémoli}, Found. Comput. Math. 11, No. 4, 417--487 (2011; Zbl 1244.68078) Full Text: DOI
Edelsbrunner, Herbert; Morozov, Dmitriy; Patel, Amit Quantifying transversality by measuring the robustness of intersections. (English) Zbl 1232.55012 Found. Comput. Math. 11, No. 3, 345-361 (2011). Reviewer: Jason Hanson (Redmond) MSC: 55N99 68U05 PDFBibTeX XMLCite \textit{H. Edelsbrunner} et al., Found. Comput. Math. 11, No. 3, 345--361 (2011; Zbl 1232.55012) Full Text: DOI arXiv
Carlsson, Gunnar; de Silva, Vin Zigzag persistence. (English) Zbl 1204.68242 Found. Comput. Math. 10, No. 4, 367-405 (2010). MSC: 68U05 55N99 PDFBibTeX XMLCite \textit{G. Carlsson} and \textit{V. de Silva}, Found. Comput. Math. 10, No. 4, 367--405 (2010; Zbl 1204.68242) Full Text: DOI
Jeronimo, Gabriela; Matera, Guillermo; Solernó, Pablo; Waissbein, Ariel Deformation techniques for sparse systems. (English) Zbl 1167.14039 Found. Comput. Math. 9, No. 1, 1-50 (2009). MSC: 14Q05 52B20 68W30 12Y05 13F25 14Q20 68W40 PDFBibTeX XMLCite \textit{G. Jeronimo} et al., Found. Comput. Math. 9, No. 1, 1--50 (2009; Zbl 1167.14039) Full Text: DOI arXiv
Nesterov, Y.; Nemirovski, A. Primal central paths and Riemannian distances for convex sets. (English) Zbl 1179.52013 Found. Comput. Math. 8, No. 5, 533-560 (2008). Reviewer: Gabriela Cristescu (Arad) MSC: 52A41 53C22 68Q25 90C22 90C25 90C51 90C60 PDFBibTeX XMLCite \textit{Y. Nesterov} and \textit{A. Nemirovski}, Found. Comput. Math. 8, No. 5, 533--560 (2008; Zbl 1179.52013) Full Text: DOI
Sommese, Andrew J.; Wampler, Charles W. Exceptional sets and fiber products. (English) Zbl 1151.14041 Found. Comput. Math. 8, No. 2, 171-196 (2008). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14Q99 65H10 68W30 PDFBibTeX XMLCite \textit{A. J. Sommese} and \textit{C. W. Wampler}, Found. Comput. Math. 8, No. 2, 171--196 (2008; Zbl 1151.14041) Full Text: DOI
Hubrechts, Hendrik Point counting in families of hyperelliptic curves. (English) Zbl 1141.11310 Found. Comput. Math. 8, No. 1, 137-169 (2008). MSC: 11G20 11Y99 12H25 14F30 14G50 14Q05 PDFBibTeX XMLCite \textit{H. Hubrechts}, Found. Comput. Math. 8, No. 1, 137--169 (2008; Zbl 1141.11310) Full Text: DOI arXiv
Azaïs, Jean-Marc; Wschebor, Mario On the roots of a random system of equations. The theorem of Shub and Smale and some extensions. (English) Zbl 1101.60035 Found. Comput. Math. 5, No. 2, 125-144 (2005). MSC: 60G99 14Q99 30C15 26C10 PDFBibTeX XMLCite \textit{J.-M. Azaïs} and \textit{M. Wschebor}, Found. Comput. Math. 5, No. 2, 125--144 (2005; Zbl 1101.60035) Full Text: DOI
Landsberg, J. M.; Manivel, L. On the ideals of secant varieties of Segre varieties. (English) Zbl 1068.14068 Found. Comput. Math. 4, No. 4, 397-422 (2004). Reviewer: Edoardo Ballico (Povo) MSC: 14Q15 14N05 14M17 PDFBibTeX XMLCite \textit{J. M. Landsberg} and \textit{L. Manivel}, Found. Comput. Math. 4, No. 4, 397--422 (2004; Zbl 1068.14068) Full Text: DOI arXiv
Dyn, Nira; Levin, David; Luzzatto, Ariel Exponentials reproducing subdivision schemes. (English) Zbl 1095.41001 Found. Comput. Math. 3, No. 2, 187-206 (2003). Reviewer: Di-Rong Chen (Beijing) MSC: 41A05 41A30 42C40 42C99 65D05 65D99 PDFBibTeX XMLCite \textit{N. Dyn} et al., Found. Comput. Math. 3, No. 2, 187--206 (2003; Zbl 1095.41001) Full Text: DOI
Lauder, Alan G. B. Computing zeta functions of Kummer curves via multiplicative characters. (English) Zbl 1083.11080 Found. Comput. Math. 3, No. 3, 273-295 (2003). Reviewer: Florin Nicolae (Berlin) MSC: 11T24 11Y16 14Q05 14G10 PDFBibTeX XMLCite \textit{A. G. B. Lauder}, Found. Comput. Math. 3, No. 3, 273--295 (2003; Zbl 1083.11080) Full Text: DOI
Hauser, Raphael A.; Güler, Osman Self-scaled barrier functions on symmetric cones and their classification. (English) Zbl 1027.90066 Found. Comput. Math. 2, No. 2, 121-143 (2002). MSC: 90C25 90C60 52A41 90C06 52A40 PDFBibTeX XMLCite \textit{R. A. Hauser} and \textit{O. Güler}, Found. Comput. Math. 2, No. 2, 121--143 (2002; Zbl 1027.90066) Full Text: DOI arXiv Link
Li, T. Y.; Li, Xing Finding mixed cells in the mixed volume computation. (English) Zbl 1012.65019 Found. Comput. Math. 1, No. 2, 161-181 (2001). MSC: 65D18 65H10 65H20 65K05 90C05 52A39 PDFBibTeX XMLCite \textit{T. Y. Li} and \textit{X. Li}, Found. Comput. Math. 1, No. 2, 161--181 (2001; Zbl 1012.65019) Full Text: DOI