-
1
-
-
0033296703
-
Regularized symmetric indefinite systems in interior point methods for linear and quadratic optimization
-
A. ALTMAN AND J. GONDZIO, Regularized symmetric indefinite systems in interior point methods for linear and quadratic optimization, Optim. Methods Softw., 11 (1999), pp. 275-302.
-
(1999)
Optim. Methods Softw
, vol.11
, pp. 275-302
-
-
ALTMAN, A.1
GONDZIO, J.2
-
2
-
-
84898952043
-
Computing regularization paths for learning multiple kernels
-
L. Saul, Y. Weiss, and L. Bottou, eds, Morgan Kaufmann, San Mateo, CA
-
F. R. BACH, R. THIBAUX, AND M. I. JORDAN, Computing regularization paths for learning multiple kernels, in Advances in Neural Information Processing Systems (NIPS) 17, L. Saul, Y. Weiss, and L. Bottou, eds., Morgan Kaufmann, San Mateo, CA, 2005.
-
(2005)
Advances in Neural Information Processing Systems (NIPS)
, vol.17
-
-
BACH, F.R.1
THIBAUX, R.2
JORDAN, M.I.3
-
3
-
-
0347242385
-
Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications
-
SIAM, Philadelphia
-
A. BEN-TAL AND A. NEMIROVSKI, Lectures on Modern Convex Optimization: Analysis, Algorithms, and Engineering Applications, MPS/SIAM Ser. Optim. 2, SIAM, Philadelphia, 2001.
-
(2001)
MPS/SIAM Ser. Optim
, vol.2
-
-
BEN-TAL, A.1
NEMIROVSKI, A.2
-
4
-
-
0016536931
-
Necessary and sufficient conditions for a penalty method to be exact
-
D. P. BERTSEKAS, Necessary and sufficient conditions for a penalty method to be exact, Math. Programming, 9 (1975), pp. 87-99.
-
(1975)
Math. Programming
, vol.9
, pp. 87-99
-
-
BERTSEKAS, D.P.1
-
6
-
-
0041544835
-
A note on error bounds for convex and nonconvex programs
-
D. P. BERTSEKAS, A note on error bounds for convex and nonconvex programs, Comput. Optim. Appl., 12 (1999), pp. 41-51.
-
(1999)
Comput. Optim. Appl
, vol.12
, pp. 41-51
-
-
BERTSEKAS, D.P.1
-
7
-
-
0042594684
-
-
Athena Scientific, Belmont, MA
-
D. P. BERTSEKAS, A. NEDIĆ, AND A. E. OZDAGLAR, Convex Analysis and Optimization, Athena Scientific, Belmont, MA, 2003.
-
(2003)
Convex Analysis and Optimization
-
-
BERTSEKAS, D.P.1
NEDIĆ, A.2
OZDAGLAR, A.E.3
-
9
-
-
0026190240
-
An exact penalization viewpoint of constrained optimization
-
J. V. BURKE, An exact penalization viewpoint of constrained optimization, SIAM J. Control Optim., 29 (1991), pp. 968-998.
-
(1991)
SIAM J. Control Optim
, vol.29
, pp. 968-998
-
-
BURKE, J.V.1
-
11
-
-
0027656872
-
Weak sharp minima in mathematical programming
-
J. V. BURKE AND M. C. FERRIS, Weak sharp minima in mathematical programming, SIAM J. Control Optim., 31 (1993), pp. 1340-1359.
-
(1993)
SIAM J. Control Optim
, vol.31
, pp. 1340-1359
-
-
BURKE, J.V.1
FERRIS, M.C.2
-
12
-
-
33745604236
-
Stable signal recovery from incomplete and inaccurate measurements
-
E. J. CANDES, J. ROMBERG, AND T. TAO, Stable signal recovery from incomplete and inaccurate measurements, Comm. Pure Appl. Math., 59 (2006), pp. 1207-1223.
-
(2006)
Comm. Pure Appl. Math
, vol.59
, pp. 1207-1223
-
-
CANDES, E.J.1
ROMBERG, J.2
TAO, T.3
-
13
-
-
31744440684
-
Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
-
E. J. CANDÉS, J. ROMBERG, AND T. TAO, Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information, IEEE Trans. Inform. Theory, 52 (2006), pp. 489-509.
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, pp. 489-509
-
-
CANDÉS, E.J.1
ROMBERG, J.2
TAO, T.3
-
14
-
-
0035273106
-
Atomic decomposition by basis pursuit
-
S. S. CHEN, D. L. DONOHO, AND M. A. SAUNDERS, Atomic decomposition by basis pursuit, SIAM Rev., 43 (2001), pp. 129-159.
-
(2001)
SIAM Rev
, vol.43
, pp. 129-159
-
-
CHEN, S.S.1
DONOHO, D.L.2
SAUNDERS, M.A.3
-
15
-
-
0003363236
-
Trust-Region Methods
-
SIAM, Philadelphia
-
A. R. CONN, N. I. M. GOULD, AND PH. L. TOINT, Trust-Region Methods, MPS-SIAM Ser. Optim. 1, SIAM, Philadelphia, 2000.
-
(2000)
MPS-SIAM Ser. Optim
, vol.1
-
-
CONN, A.R.1
GOULD, N.I.M.2
TOINT, P.L.3
-
17
-
-
33144483155
-
Stable recovery of sparse overcomplete representations in the presence of noise
-
D. L. DONOHO, M. ELAD, AND V. TEMLYAKOV, Stable recovery of sparse overcomplete representations in the presence of noise, IEEE Trans. Inform. Theory, 52 (2006), pp. 6-18.
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, pp. 6-18
-
-
DONOHO, D.L.1
ELAD, M.2
TEMLYAKOV, V.3
-
18
-
-
22144488449
-
Sparse nonnegative solution of underdetermined linear equations by linear programming
-
D. L. DONOHO AND J. TANNER, Sparse nonnegative solution of underdetermined linear equations by linear programming, Proc. Natl. Acad. Sci. USA, 102 (2005), pp. 9446-9451.
-
(2005)
Proc. Natl. Acad. Sci. USA
, vol.102
, pp. 9446-9451
-
-
DONOHO, D.L.1
TANNER, J.2
-
19
-
-
3242708140
-
Least angle regression
-
B. EFRON, T. HASTIE, I. JOHNSTONE, AND R. TIBSHIRANI, Least angle regression, Ann. Statist., 32 (2004), pp. 407-499.
-
(2004)
Ann. Statist
, vol.32
, pp. 407-499
-
-
EFRON, B.1
HASTIE, T.2
JOHNSTONE, I.3
TIBSHIRANI, R.4
-
20
-
-
0043030977
-
Finite perturbation of convex programs
-
M. C. FERRIS AND O. L. MANGASARIAN, Finite perturbation of convex programs, Appl. Math. Optim., 23 (1991), pp. 263-273.
-
(1991)
Appl. Math. Optim
, vol.23
, pp. 263-273
-
-
FERRIS, M.C.1
MANGASARIAN, O.L.2
-
21
-
-
0003079262
-
1 penalty method for nonlinear constraints
-
P. T. Boggs, R. H. Byrd, and R. B. Schnabel, eds, SIAM, Philadelphia
-
1 penalty method for nonlinear constraints, in Numerical Optimization, 1984, P. T. Boggs, R. H. Byrd, and R. B. Schnabel, eds., SIAM, Philadelphia, 1985, pp. 26-40.
-
(1985)
Numerical Optimization, 1984
, pp. 26-40
-
-
FLETCHER, R.1
-
22
-
-
0003768769
-
-
2nd ed, John Wiley and Sons, Chichester, UK
-
R. FLETCHER, Practical Methods of Optimization, 2nd ed., John Wiley and Sons, Chichester, UK, 1987.
-
(1987)
Practical Methods of Optimization
-
-
FLETCHER, R.1
-
23
-
-
33645485197
-
Generation of Degenerate Linear Programming Problems
-
Tech. report, Department of Mathematics, Federal University of Santa Catarina, Santa Catarina, Brazil
-
C. C. GONZAGA, Generation of Degenerate Linear Programming Problems, Tech. report, Department of Mathematics, Federal University of Santa Catarina, Santa Catarina, Brazil, 2003.
-
(2003)
-
-
GONZAGA, C.C.1
-
24
-
-
34250270048
-
Exact penalty functions in nonlinear programming
-
S.-P. HAN AND O. L. MANGASARIAN, Exact penalty functions in nonlinear programming, Math. Programming, 17 (1979), pp. 251-269.
-
(1979)
Math. Programming
, vol.17
, pp. 251-269
-
-
HAN, S.-P.1
MANGASARIAN, O.L.2
-
25
-
-
0037287439
-
On the minimum norm solution of linear programs
-
C. KANZOW, H. QI, AND L. QI, On the minimum norm solution of linear programs, J. Optim. Theory Appl., 116 (2003), pp. 333-345.
-
(2003)
J. Optim. Theory Appl
, vol.116
, pp. 333-345
-
-
KANZOW, C.1
QI, H.2
QI, L.3
-
26
-
-
0011629799
-
A finite algorithm for the least two-norm solution of a linear program
-
S. LUCIDI, A finite algorithm for the least two-norm solution of a linear program, Optimization, 18 (1987), pp. 809-823.
-
(1987)
Optimization
, vol.18
, pp. 809-823
-
-
LUCIDI, S.1
-
27
-
-
0023434930
-
A new result in the theory and computation of the least-norm solution of a linear program
-
S. LUCIDI, A new result in the theory and computation of the least-norm solution of a linear program, J. Optim. Theory Appl., 55 (1987), pp. 103-117.
-
(1987)
J. Optim. Theory Appl
, vol.55
, pp. 103-117
-
-
LUCIDI, S.1
-
28
-
-
0028524430
-
Error bounds for analytic systems and their applications
-
Z.-Q. LUO AND J.-S. PANG, Error bounds for analytic systems and their applications, Math. Programming, 67 (1994), pp. 1-28.
-
(1994)
Math. Programming
, vol.67
, pp. 1-28
-
-
LUO, Z.-Q.1
PANG, J.-S.2
-
29
-
-
56749121917
-
-
Z.-Q. LUO AND J.-S. PANG, eds., Error bounds in mathematical programming, Math. Program., 88 (2000), pp. 221-410.
-
Z.-Q. LUO AND J.-S. PANG, eds., Error bounds in mathematical programming, Math. Program., 88 (2000), pp. 221-410.
-
-
-
-
30
-
-
0020873291
-
Normal solutions of linear programs
-
O. L. MANGASARIAN, Normal solutions of linear programs, Math. Programming Stud., 22 (1984), pp. 206-216.
-
(1984)
Math. Programming Stud
, vol.22
, pp. 206-216
-
-
MANGASARIAN, O.L.1
-
31
-
-
0021873712
-
Sufficiency of exact penalty minimization
-
O. L. MANGASARIAN, Sufficiency of exact penalty minimization, SIAM J. Control Optim., 23 (1985), pp. 30-37.
-
(1985)
SIAM J. Control Optim
, vol.23
, pp. 30-37
-
-
MANGASARIAN, O.L.1
-
32
-
-
0023960693
-
A simple characterization of solution sets of convex programs
-
O. L. MANGASARIAN, A simple characterization of solution sets of convex programs, Oper. Res. Lett., 7 (1988), pp. 21-26.
-
(1988)
Oper. Res. Lett
, vol.7
, pp. 21-26
-
-
MANGASARIAN, O.L.1
-
33
-
-
4043182563
-
A Newton method for linear programming
-
O. L. MANGASARIAN, A Newton method for linear programming, J. Optim. Theory Appl., 121 (2004), pp. 1-18.
-
(2004)
J. Optim. Theory Appl
, vol.121
, pp. 1-18
-
-
MANGASARIAN, O.L.1
-
34
-
-
0018543889
-
Nonlinear perturbation of linear programs
-
O. L. MANGASARIAN AND R. R. MEYER, Nonlinear perturbation of linear programs, SIAM J. Control Optim., 17 (1979), pp. 745-752.
-
(1979)
SIAM J. Control Optim
, vol.17
, pp. 745-752
-
-
MANGASARIAN, O.L.1
MEYER, R.R.2
-
36
-
-
56749121918
-
-
available online at, 2006
-
NETLIB Linear Programming Library, available online at http://www.netlib.org/lp/infeas/, 2006.
-
NETLIB Linear Programming Library
-
-
-
37
-
-
30944448267
-
-
Tech. report preliminary draft, Computational Optimization Research Center, Columbia University, New York
-
G. PATAKI AND S. SCHMIETA, The DIMACS Library of Semidefinite-Quadratic-Linear Programs, Tech. report preliminary draft, Computational Optimization Research Center, Columbia University, New York, 2002.
-
(2002)
The DIMACS Library of Semidefinite-Quadratic-Linear Programs
-
-
PATAKI, G.1
SCHMIETA, S.2
-
38
-
-
0005366663
-
A Mathematical View of Interior-Point Methods in Convex Optimization
-
SIAM, Philadelphia
-
J. RENEGAR, A Mathematical View of Interior-Point Methods in Convex Optimization, MPS/SIAM Ser. Optim. 3, SIAM, Philadelphia, 2001.
-
(2001)
MPS/SIAM Ser. Optim
, vol.3
-
-
RENEGAR, J.1
-
39
-
-
0020901152
-
Local structure of feasible sets in nonlinear programming
-
S. M. ROBINSON, Local structure of feasible sets in nonlinear programming. II. Nondegeneracy, Math. Programming Stud., 22 (1984), pp. 217-230.
-
(1984)
II. Nondegeneracy, Math. Programming Stud
, vol.22
, pp. 217-230
-
-
ROBINSON, S.M.1
-
40
-
-
0004267646
-
-
Princeton University Press, Princeton, NJ
-
R. T. ROCKAFELLAR, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
-
(1970)
Convex Analysis
-
-
ROCKAFELLAR, R.T.1
-
41
-
-
2142722218
-
On the statistical analysis of smoothing by maximizing dirty Markov random field posterior distributions
-
S. SARDY AND P. TSENG, On the statistical analysis of smoothing by maximizing dirty Markov random field posterior distributions, J. Amer. Statist. Assoc., 99 (2004), pp. 191-204.
-
(2004)
J. Amer. Statist. Assoc
, vol.99
, pp. 191-204
-
-
SARDY, S.1
TSENG, P.2
-
42
-
-
0039169750
-
Cholesky-based methods for sparse least squares: The benefits of regularization
-
L. Adams and J. L. Nazareth, eds, SIAM, Philadelphia
-
M. A. SAUNDERS, Cholesky-based methods for sparse least squares: The benefits of regularization, in Linear and Nonlinear Conjugate Gradient-Related Methods, L. Adams and J. L. Nazareth, eds., SIAM, Philadelphia, 1996, pp. 92-100.
-
(1996)
Linear and Nonlinear Conjugate Gradient-Related Methods
, pp. 92-100
-
-
SAUNDERS, M.A.1
-
43
-
-
56749140643
-
-
J. F. STURM, Using Sedumi 1.02, a Matlab Toolbox for Optimization over Symmetric Cones (updated for Version 1.05), Tech. report, Department of Econometrics, Tilburg University, Tilburg, The Netherlands, 2001.
-
J. F. STURM, Using Sedumi 1.02, a Matlab Toolbox for Optimization over Symmetric Cones (updated for Version 1.05), Tech. report, Department of Econometrics, Tilburg University, Tilburg, The Netherlands, 2001.
-
-
-
-
44
-
-
0001287271
-
Regression shrinkage and selection via the Lasso
-
R. TIBSHIRANI, Regression shrinkage and selection via the Lasso, J. Roy. Statist. Soc. Ser. B, 58 (1996), pp. 267-288.
-
(1996)
J. Roy. Statist. Soc. Ser. B
, vol.58
, pp. 267-288
-
-
TIBSHIRANI, R.1
-
45
-
-
0003664883
-
-
Winston and Sons, Washington, DC, 1977 translated from Russian
-
A. N. TIKHONOV AND V. Y. ARSENIN, Solutions of Ill-Posed Problems, V. H. Winston and Sons, Washington, DC, 1977 (translated from Russian).
-
Solutions of Ill-Posed Problems
, vol.H
-
-
TIKHONOV, A.N.1
ARSENIN, V.Y.2
-
46
-
-
0242711330
-
On error bounds for lower semicontinuous functions
-
Z. WU AND J. J. YE, On error bounds for lower semicontinuous functions, Math. Program., 92 (2002), pp. 301-314.
-
(2002)
Math. Program
, vol.92
, pp. 301-314
-
-
WU, Z.1
YE, J.J.2
-
48
-
-
0036436108
-
Locating the least 2-norm solution of linear programs via a path-following method
-
Y.-B. ZHAO AND D. LI, Locating the least 2-norm solution of linear programs via a path-following method, SIAM J. Optim., 12 (2002), pp. 893-912.
-
(2002)
SIAM J. Optim
, vol.12
, pp. 893-912
-
-
ZHAO, Y.-B.1
LI, D.2
|