| 2012 | ||
|---|---|---|
| c18 | ||
| 2011 | ||
| j57 | Felipe Cucker, Jiu-Gang Dong: A General Collision-Avoiding Flocking Framework. IEEE Trans. Automat. Contr. 56(5): 1124-1129 (2011) | |
| 2010 | ||
| j56 | Dennis Cheung, Felipe Cucker, Javier Peña: On strata of degenerate polyhedral cones, II: Relations between condition measures. J. Complexity 26(2): 209-226 (2010) | |
| j55 | Felipe Cucker, Raphael Hauser, Martin Lotz: Adversarial smoothed analysis. J. Complexity 26(3): 255-262 (2010) | |
| j54 | Peter Bürgisser, Felipe Cucker: Smoothed Analysis of Moore-Penrose Inversion. SIAM J. Matrix Analysis Applications 31(5): 2769-2783 (2010) | |
| j53 | Felipe Cucker, Jiu-Gang Dong: Avoiding Collisions in Flocks. IEEE Trans. Automat. Contr. 55(5): 1238-1243 (2010) | |
| c17 | Peter Bürgisser, Felipe Cucker: Solving polynomial equations in smoothed polynomial time and a near solution to smale's 17th problem. STOC 2010: 503-512 | |
| i5 | Felipe Cucker, Teresa Krick, Gregorio Malajovich, Mario Wschebor: A Numerical Algorithm for Zero Counting. III: Randomization and Condition. CoRR abs/1007.1597 (2010) | |
| 2009 | ||
| j52 | Felipe Cucker, Paulin Jacobé de Naurois: Parallel Time and Quantifier Prefixes. Computational Complexity 18(4): 527-550 (2009) | |
| j51 | Dennis Cheung, Felipe Cucker, Javier Peña: On strata of degenerate polyhedral cones I: Condition and distance to strata. European Journal of Operational Research 198(1): 23-28 (2009) | |
| j50 | Peter Bürgisser, Felipe Cucker: Exotic Quantifiers, Complexity Classes, and Complete Problems. Foundations of Computational Mathematics 9(2): 135-170 (2009) | |
| j49 | Dennis Cheung, Felipe Cucker: Componentwise Condition Numbers of Random Sparse Matrices. SIAM J. Matrix Analysis Applications 31(2): 721-731 (2009) | |
| i4 | Felipe Cucker, Teresa Krick, Gregorio Malajovich, Mario Wschebor: A Numerical Algorithm for Zero Counting. II: Distance to Ill-posedness and Smoothed Analysis. CoRR abs/0909.4101 (2009) | |
| 2008 | ||
| j48 | Felipe Cucker, Teresa Krick, Gregorio Malajovich, Mario Wschebor: A numerical algorithm for zero counting, I: Complexity and accuracy. J. Complexity 24(5-6): 582-605 (2008) | |
| j47 | Peter Bürgisser, Felipe Cucker, Martin Lotz: The probability that a slightly perturbed numerical analysis problem is difficult. Math. Comput. 77(263): 1559-1583 (2008) | |
| j46 | Dennis Cheung, Felipe Cucker, Javier Peña: A Condition Number for Multifold Conic Systems. SIAM Journal on Optimization 19(1): 261-280 (2008) | |
| 2007 | ||
| j45 | Felipe Cucker, Irénée Briquel: A note on parallel and alternating time. J. Complexity 23(4-6): 594-602 (2007) | |
| j44 | Felipe Cucker, Huaian Diao, Yimin Wei: On mixed and componentwise condition numbers for Moore-Penrose inverse and linear least squares problems. Math. Comput. 76(258): 947-963 (2007) | |
| j43 | Felipe Cucker, Steve Smale: Emergent Behavior in Flocks. IEEE Trans. Automat. Contr. 52(5): 852-862 (2007) | |
| c16 | Peter Bürgisser, Felipe Cucker: Exotic Quantifiers, Complexity Classes, and Complete Problems. ICALP 2007: 207-218 | |
| i3 | Felipe Cucker, Teresa Krick, Gregorio Malajovich, Mario Wschebor: A Numerical Algorithm for Zero Counting. I: Complexity and Accuracy. CoRR abs/0710.4508 (2007) | |
| 2006 | ||
| j42 | Peter Bürgisser, Felipe Cucker, Paulin Jacobé de Naurois: The complexity of semilinear problems in succinct representation. Computational Complexity 15(3): 197-235 (2006) | |
| j41 | Olivier Bournez, Felipe Cucker, Paulin Jacobé de Naurois, Jean-Yves Marion: Implicit complexity over an arbitrary structure: Quantifier alternations. Inf. Comput. 204(2): 210-230 (2006) | |
| j40 | Peter Bürgisser, Felipe Cucker: Counting complexity classes for numeric computations II: Algebraic and semialgebraic sets. J. Complexity 22(2): 147-191 (2006) | |
| j39 | Dennis Cheung, Felipe Cucker: Solving linear programs with finite precision: II. Algorithms. J. Complexity 22(3): 305-335 (2006) | |
| 2005 | ||
| j38 | Felipe Cucker: On sparseness, reducibilities, and complexity. Ann. Pure Appl. Logic 134(1): 53-61 (2005) | |
| j37 | Lenore Blum, Felipe Cucker, Tomaso Poggio, James Renegar, Michael Shub: Foreword. Foundations of Computational Mathematics 5(4): 349 (2005) | |
| j36 | Peter Bürgisser, Felipe Cucker, Martin Lotz: Counting Complexity Classes for Numeric Computations. III: Complex Projective Sets. Foundations of Computational Mathematics 5(4): 351-387 (2005) | |
| j35 | Dennis Cheung, Felipe Cucker: A note on level-2 condition numbers. J. Complexity 21(3): 314-319 (2005) | |
| j34 | Olivier Bournez, Felipe Cucker, Paulin Jacobé de Naurois, Jean-Yves Marion: Implicit Complexity over an Arbitrary Structure: Sequential and Parallel Polynomial Time. J. Log. Comput. 15(1): 41-58 (2005) | |
| j33 | Dennis Cheung, Felipe Cucker, Raphael Hauser: Tail Decay and Moment Estimates of a Condition Number for Random Linear Conic Systems. SIAM Journal on Optimization 15(4): 1237-1261 (2005) | |
| c15 | Peter Bürgisser, Felipe Cucker, Paulin Jacobé de Naurois: The Complexity of Semilinear Problems in Succinct Representation. FCT 2005: 479-490 | |
| i2 | Peter Bürgisser, Felipe Cucker: Exotic quantifiers, complexity classes, and complete problems. Electronic Colloquium on Computational Complexity (ECCC)(138) (2005) | |
| 2004 | ||
| j32 | Felipe Cucker, Steve Smale, Ding-Xuan Zhou: Modeling Language Evolution. Foundations of Computational Mathematics 4(3): 315-343 (2004) | |
| j31 | Dennis Cheung, Felipe Cucker: Solving linear programs with finite precision: I. Condition numbers and random programs. Math. Program. 99(1): 175-196 (2004) | |
| c14 | Olivier Bournez, Felipe Cucker, Paulin Jacobé de Naurois, Jean-Yves Marion: Tailoring Recursion to Characterize Non-Deterministic Complexity Classes over Arbitrary Structures. IFIP TCS 2004: 409-422 | |
| c13 | Peter Bürgisser, Felipe Cucker: Counting complexity classes for numeric computations II: algebraic and semialgebraic sets. STOC 2004: 475-485 | |
| 2003 | ||
| j30 | Olivier Bournez, Felipe Cucker, Paulin Jacobé de Naurois, Jean-Yves Marion: Safe Recursion Over an Arbitrary Structure: PAR, PH and DPH. Electr. Notes Theor. Comput. Sci. 90: 3-14 (2003) | |
| j29 | ||
| j28 | Dennis Cheung, Felipe Cucker, Javier Peña: Unifying Condition Numbers for Linear Programming. Math. Oper. Res. 28(4): 609-624 (2003) | |
| c12 | Olivier Bournez, Felipe Cucker, Paulin Jacobé de Naurois, Jean-Yves Marion: Computability over an Arbitrary Structure. Sequential and Parallel Polynomial Time. FoSSaCS 2003: 185-199 | |
| c11 | Peter Bürgisser, Felipe Cucker: Counting Complexity Classes over the Reals I: The Additive Case. ISAAC 2003: 625-634 | |
| i1 | Peter Bürgisser, Felipe Cucker: Counting complexity classes for numeric computations II: algebraic and semialgebraic sets. CoRR cs.CC/0312007 (2003) | |
| 2002 | ||
| j27 | Felipe Cucker: On sparseness and Turing reducibility over the reals. Electr. Notes Theor. Comput. Sci. 67: 7-14 (2002) | |
| j26 | Felipe Cucker, Steve Smale: Best Choices for Regularization Parameters in Learning Theory: On the Bias-Variance Problem. Foundations of Computational Mathematics 2(4): 413-428 (2002) | |
| j25 | ||
| j24 | Felipe Cucker, Javier Peña: A Primal-Dual Algorithm for Solving Polyhedral Conic Systems with a Finite-Precision Machine. SIAM Journal on Optimization 12(2): 522-554 (2002) | |
| 2001 | ||
| j23 | Felipe Cucker, Dima Grigoriev: There are No Sparse NPw-Hard Sets. SIAM J. Comput. 31(1): 193-198 (2001) | |
| j22 | Felipe Cucker: On weak and weighted computations over the real closure of Q. Theor. Comput. Sci. 255(1-2): 593-600 (2001) | |
| c10 | ||
| 2000 | ||
| j21 | ||
| c9 | ||
| 1999 | ||
| j20 | Felipe Cucker, Steve Smale: Complexity Estimates Depending on Condition and Round-Off Error. J. ACM 46(1): 113-184 (1999) | |
| j19 | ||
| j18 | Felipe Cucker, Dima Grigoriev: Complexity Lower Bounds for Approximation Algebraic Computation Trees. J. Complexity 15(4): 499-512 (1999) | |
| j17 | Felipe Cucker, Pascal Koiran, Steve Smale: A Polynomial Time Algorithm for Diophantine Equations in One Variable. J. Symb. Comput. 27(1): 21-29 (1999) | |
| j16 | Felipe Cucker, Klaus Meer: Logics Which Capture Complexity Classes Over The Reals. J. Symb. Log. 64(1): 363-390 (1999) | |
| c8 | ||
| 1998 | ||
| c7 | Felipe Cucker, Steve Smale: Complexity Estimates Depending on Condition and Round-Off Error. ESA 1998: 115-126 | |
| 1997 | ||
| j15 | Felipe Cucker, Pascal Koiran, Martín Matamala: Complexity and Dimension. Inf. Process. Lett. 62(4): 209-212 (1997) | |
| j14 | ||
| j13 | Felipe Cucker, Dima Grigoriev: On the Power of Real Turing Machines Over Binary Inputs. SIAM J. Comput. 26(1): 243-254 (1997) | |
| c6 | Felipe Cucker, Klaus Meer: Logics Which Capture Complexity Classes over the Reals. FCT 1997: 157-167 | |
| 1996 | ||
| j12 | ||
| j11 | Felipe Cucker, Martín Matamala: On Digital Nondeterminism. Mathematical Systems Theory 29(6): 635-647 (1996) | |
| j10 | Felipe Cucker, Mike Shub: Generalized Knapsack Problems and Fixed Degree Separations. Theor. Comput. Sci. 161(1&2): 301-306 (1996) | |
| 1995 | ||
| j9 | Felipe Cucker, Pascal Koiran: Computing over the Reals with Addition and Order: Higher Complexity Classes. J. Complexity 11(3): 358-376 (1995) | |
| c5 | Felipe Cucker, Marek Karpinski, Pascal Koiran, Thomas Lickteig, Kai Werther: On real Turing machines that toss coins. STOC 1995: 335-342 | |
| 1994 | ||
| j8 | Felipe Cucker, Mike Shub, Steve Smale: Separation of Complexity Classes in Koiran's Weak Model. Theor. Comput. Sci. 133(1): 3-14 (1994) | |
| 1993 | ||
| j7 | Felipe Cucker: On the Complexity of Quantifier Elimination: the Structural Approach. Comput. J. 36(5): 400-408 (1993) | |
| c4 | Felipe Cucker, Francesc Rosselló: Recursiveness over the Complex Numbers is Time-Bounded. FSTTCS 1993: 260-267 | |
| 1992 | ||
| j6 | Felipe Cucker, Hervé Lanneau, Bud Mishra, Paul Pedersen, Marie-Françoise Roy: NC Algorithms for Real Algebraic Numbers. Appl. Algebra Eng. Commun. Comput. 3: 79-98 (1992) | |
| j5 | ||
| j4 | Felipe Cucker, A. Torrecillas: Two P-complete problems in the theory of the reals. J. Complexity 8(4): 454-466 (1992) | |
| j3 | ||
| c3 | Felipe Cucker, Francesc Rosselló: On the Complexity of Some Problems for the Blum, Shub & Smale Model. LATIN 1992: 117-129 | |
| 1991 | ||
| c2 | Felipe Cucker, A. Torrecillas: Two P-Complete Problems in the Theory of the Reals. ICALP 1991: 556-565 | |
| 1990 | ||
| j2 | Felipe Cucker, Marie-Françoise Roy: Kac's Theorem on the Number of Real Roots and its Consequences in Average Complexity. J. Symb. Comput. 10(5): 405-410 (1990) | |
| 1989 | ||
| j1 | Felipe Cucker, Joaquim Gabarró: Non Recursive Functions Have Transcendental Generating Series. ITA 23(4): 445-448 (1989) | |
| 1987 | ||
| c1 | Felipe Cucker, Luis Miguel Pardo, Mario Raimondo, Tomás Recio, Marie-Françoise Roy: On the Computation of the Local and Global Analytic Branches of a Real Algebraic Curve. AAECC 1987: 161-181 | |
| 1 | Lenore Blum | |
| 2 | Olivier Bournez | |
| 3 | Irénée Briquel | |
| 4 | Peter Bürgisser (Peter Buergisser) | |
| 5 | Dennis Cheung | |
| 6 | Huaian Diao | |
| 7 | Jiu-Gang Dong | |
| 8 | Joaquim Gabarró (Joaquim Gabarró Vallés) | |
| 9 | Dima Grigoriev | |
| 10 | Raphael Hauser | |
| 11 | Marek Karpinski | |
| 12 | Pascal Koiran | |
| 13 | Teresa Krick | |
| 14 | Hervé Lanneau | |
| 15 | Thomas Lickteig | |
| 16 | Martin Lotz | |
| 17 | Gregorio Malajovich | |
| 18 | Jean-Yves Marion | |
| 19 | Martín Matamala | |
| 20 | Klaus Meer | |
| 21 | Bud Mishra (Bhubaneswar Mishra) | |
| 22 | Paulin Jacobé de Naurois | |
| 23 | Luis M. Pardo (Luis Miguel Pardo) | |
| 24 | Paul Pedersen | |
| 25 | Javier Peña | |
| 26 | Tomaso Poggio | |
| 27 | Mario Raimondo | |
| 28 | Tomás Recio | |
| 29 | James Renegar | |
| 30 | Francesc Rosselló (Francesc Rosselló Llompart) | |
| 31 | Marie-Françoise Roy | |
| 32 | Mike Shub (Michael Shub) | |
| 33 | Steve Smale | |
| 34 | A. Torrecillas | |
| 35 | Yimin Wei | |
| 36 | Kai Werther | |
| 37 | Mario Wschebor | |
| 38 | Ding-Xuan Zhou |
Colors in the list of coauthors
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