93:. There Micchelli did research from 1970 to 2000 and was a visiting professor at more than twenty universities in various countries, including in Israel, Sweden, Italy, Germany, the United Kingdom, Belgium, Chile, the United States, Spain, Canada, and Singapore. In 2000 he retired as an emeritus of IBM and became a professor of mathematics at the
155:(UNIZAR) through a meeting with Professor Mariano Gasca from UNIZAR's department of applied mathematics. Micchelli was on sabbatical at UNIZAR for the academic year 1988–1989 and with Gasca was the co-director in 1989 of a NATO Advanced Study Institute on Computation of Curves and Surfaces in
173:
In 1965 he married his wife
Patricia, who was his schoolmate since childhood. They have two children, Craig (born 1970) and Lisa (born 1972). In 2006 Craig A. Micchelli joined the faculty of the department of developmental biology at
170:(with first issue in February 1993) and became the founding co-editor-in-chief with John Charles Mason (1941–2016). Micchelli has also served on the editorial boards of several other international journals.
147:
Through his numerous research stays at universities, conferences, invitations and even family trips, Micchelli has traveled throughout the world many times, At a mathematical congress, at the
163:
from July 10 to 21, 1989. Since then, especially in the 1990s, Micchelli has repeatedly visited and contributed academically to UNIZAR, which awarded him an honorary doctorate in 1994.
100:
Micchelli is the author or co-author of more than 275 research publications and is on the list of ISI's Highly Cited
Researchers. He has made contributions to the theory of
1400:
1430:
335:
632:
612:
310:
Micchelli, C. A.; Pinkus, Allan (1977). "Moment Theory for Weak
Chebyshev Systems with Applications to Monosplines, Quadrature Formulae and Best One-Sided
54:, where he graduated in 1964 with a bachelor's degree in mathematics. He then became a graduate student at Stanford University. After taking a course on
148:
1375:
1370:
1425:
1420:
85:, who was visiting Karlin and Golub. Rivlin recruited Micchelli to become a researcher for the mathematical sciences department of the
47:
962:
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng; Zeng, Xueying (2013). "Proximity algorithms for the L1/TV image denoising model".
175:
141:
509:
Micchelli, Charles A. (1986). "Interpolation of scattered data: Distance matrices and conditionally positive definite functions".
1395:
1385:
401:
Johnson, Olin G.; Micchelli, Charles A.; Paul, George (1983). "Polynomial
Preconditioners for Conjugate Gradient Calculations".
77:
and recognizing the growing importance of computers and numerical analysis, Micchelli accepted a postgraduate invitation at the
62:, he became interested in approximation theory. Micchelli graduated in 1969 with a PhD from Stanford University. His PhD thesis
1260:
470:
300:
800:
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng (2002). "Fast
Collocation Methods for Second Kind Integral Equations".
193:
Micchelli, C. A.; Rivlin, T. J. (1972). "Turán
Formulae and Highest Precision Quadrature Rules for Chebyshev Coefficients".
86:
1410:
991:
Li, Zheng; Micchelli, Charles A.; Xu, Yuesheng (2020). "Fixed-point proximity algorithm for minimal norm interpolation".
1405:
667:
Dahmen, Wolfgang; Micchelli, Charles A. (1993). "Using the
Refinement Equation for Evaluating Integrals of Wavelets".
140:
presented a new approach to
Micchelli's theory of cardinal L-splines. In 1983 Micchelli was an invited speaker at the
1136:
1115:
1088:
1067:
1046:
555:
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1205:
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Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng (2011). "Proximity algorithms for image models: Denoising".
220:
1390:
1144:
94:
90:
538:
Micchelli, Charles A.; Pinkus, Allan (1989). "Some
Remarks on Nonnegative Polynomials on Polyhedra".
868:
482:"Interpolation of scattered data: distance matrices and conditionally positive definite functions"
1338:
1276:
166:
Starting an organizational effort in 1991, Micchelli was one the founding editors of the journal
1415:
1365:
481:
152:
78:
81:'s computer sciences department. On his return to Stanford University he met IBM researcher
1360:
934:
888:
Micchelli, Charles A.; Pontil, Massimiliano (2005). "On
Learning Vector-Valued Functions".
821:
Micchelli, Charles A.; Pontil, Massimiliano (2005). "On Learning Vector-Valued Functions".
645:
410:
313:
105:
55:
27:
22:(born December 22, 1942) is an American mathematician, with an international reputation in
1342:
Department of Developmental Biology, Washington University School of Medicine in St. Louis
8:
1179:
717:"Using the Matrix Refinement Equation for the Construction of Wavelets on Invariant Sets"
1299:
1236:
Proceedings of the International Congress of Mathematicians, August 16–24 1983, Warszawa
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1016:
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As the youngest of four children, he was born into an Italian-American family in
1076:
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1004:
690:"On linear independence for integer translates of a finite number of functions"
252:
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813:
755:
706:
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901:
842:
834:
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67:
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1249:
Dahmen, Wolfgang; Gasca, Mariano; Micchelli, Charles A. (6 December 2012).
909:
850:
733:
716:
384:
367:
784:
771:
Dahmen, W.; Micchelli, C. A. (1997). "Biorthogonal Wavelet Expansions".
567:"Approximation by superposition of sigmoidal and radial basis functions"
453:
Micchelli, C. A.; Rivlin, T. J. (1985). "Lectures on optimal recovery".
283:
Micchelli, C. A.; Rivlin, T. J. (1977). "A Survey of Optimal Recovery".
206:
522:
500:
462:
234:
215:
74:
1035:
Cavaretta, Alfred S.; Dahmen, Wolfgang; Micchelli, Charles A. (1991).
866:
742:
Micchelli, C.A.; Sauer, Thomas (1997). "Regularity of multiwavelets".
1077:
Chen, Zhongying; Micchelli, Charles A.; Xu, Yuesheng (16 July 2015).
1234:
Micchelli, C. A. (1984). "Recent progress in multivariate splines".
680:
592:
Dahmen, Wolfgang; Micchelli, Charles A.; Seidel, Hans-Peter (1992).
422:
350:
1124:
160:
117:
1238:. Vol. 2. Polish Scientific Publishers. pp. 1523–1524.
457:. Lecture Notes in Mathematics. Vol. 1129. pp. 21–93.
1321:"Who's That Mathematician? Paul R. Halmos Collection - Page 59"
368:"Spline Functions on the Circle: Cardinal L-Splines Revisited"
1125:
Gasca, Mariano; Micchelli, Charles A., eds. (9 March 2013).
1180:"Charles Anthony Micchelli, Facultad de Ciencias, Doctores
1034:
1223:. Mathematics Research Center, University of Wisconsin.
337:-Approximation by Spline Functions with Fixed Knots".
216:"Numerical integration rules near Gaussian quadrature"
620:
600:
591:
316:
400:
1220:
On Charles Micchelli's Theory of Cardinal L-splines
961:
867:Evgeniou, T.; Micchelli, C. A.; Pontil, M. (2005).
1080:Multiscale Methods for Fredholm Integral Equations
626:
606:
329:
1401:East Side High School (Newark, New Jersey) alumni
1216:
694:Proceedings of the Edinburgh Mathematical Society
1431:Washington University School of Medicine faculty
1352:
1233:
564:
479:
430:Dahmen, Wolfgang; Micchelli, Charles A. (1983).
250:
1107:Selected Papers of Alan Hoffman with Commentary
924:
887:
820:
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770:
666:
537:
452:
429:
365:
309:
282:
213:
192:
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688:Jia, Rong-Qing; Micchelli, Charles A. (1993).
990:
869:"Learning multiple tasks with kernel methods"
253:"Convergence of Positive Linear Operators on
715:Micchelli, Charles A.; Xu, Yuesheng (1994).
687:
565:Mhaskar, H.N; Micchelli, Charles A. (1992).
64:Saturation Classes and Iterates of Operators
993:Applied and Computational Harmonic Analysis
721:Applied and Computational Harmonic Analysis
714:
1297:
1059:Mathematical Aspects of Geometric Modeling
366:Micchelli, Charles A.; Sharma, A. (1980).
285:Optimal Estimation in Approximation Theory
1255:. Springer Science & Business Media.
1131:. Springer Science & Business Media.
1055:
732:
705:
657:
582:
508:
443:
383:
233:
540:Probability, Statistics, and Mathematics
214:Micchelli, C. A.; Rivlin, T. J. (1973).
181:
176:Washington University School of Medicine
142:International Congress of Mathematicians
195:IBM Journal of Research and Development
1353:
1056:Micchelli, Charles A. (January 1995).
1281:Advances in Computational Mathematics
1174:
1172:
1170:
1168:
1166:
1164:
1162:
1160:
1128:Total Positivity and Its Applications
964:Advances in Computational Mathematics
744:Advances in Computational Mathematics
339:SIAM Journal on Mathematical Analysis
168:Advances in Computational Mathematics
151:, he began his relationship with the
1376:21st-century American mathematicians
1371:20th-century American mathematicians
876:Journal of Machine Learning Research
432:"Translates of multivarlate splines"
87:IBM Thomas J. Watson Research Center
1325:Mathematical Association of America
436:Linear Algebra and Its Applications
13:
1426:American people of Italian descent
1421:University at Albany, SUNY faculty
1252:Computation of Curves and Surfaces
1157:
802:SIAM Journal on Numerical Analysis
669:SIAM Journal on Numerical Analysis
548:10.1016/B978-0-12-058470-3.50018-5
403:SIAM Journal on Numerical Analysis
14:
1442:
1143:(originally published in 1996 by
659:10.1090/S0025-5718-1992-1134724-1
455:Numerical Analysis Lancaster 1984
46:. After graduating from Newark's
571:Advances in Applied Mathematics
372:Canadian Journal of Mathematics
264:Journal of Approximation Theory
1396:People from Newark, New Jersey
1386:American mathematical analysts
1331:
1313:
1291:
1269:
1242:
1227:
1210:
1195:
1083:. Cambridge University Press.
614:-spline bases built better by
1:
1206:Mathematics Genealogy Project
1151:
1041:. American Mathematical Soc.
947:10.1088/0266-5611/27/4/045009
221:Israel Journal of Mathematics
1098:
584:10.1016/0196-8858(92)90016-P
445:10.1016/0024-3795(83)80015-9
276:10.1016/0021-9045(75)90040-4
37:
7:
293:10.1007/978-1-4684-2388-4_1
186:
10:
1447:
1411:Stanford University alumni
1217:Schoenberg, I. J. (1974).
1145:Kluwer Academic Publishers
1110:. World Scientific. 2003.
1005:10.1016/j.acha.2019.12.002
773:Constructive Approximation
638:Mathematics of Computation
511:Constructive Approximation
489:Constructive Approximation
95:University at Albany, SUNY
91:Yorktown Heights, New York
1406:Rutgers University alumni
1202:Charles Anthony Micchelli
976:10.1007/s10444-011-9243-y
814:10.1137/S0036142901389372
707:10.1017/S0013091500005903
480:Micchelli, C. A. (1986).
251:Micchelli, C. A. (1975).
20:Charles Anthony Micchelli
1339:"Craig Micchelli, Ph.D."
1300:"John Mason (1941–2016)"
1028:
902:10.1162/0899766052530802
835:10.1162/0899766052530802
1381:Approximation theorists
756:10.1023/A:1018971524949
1038:Stationary Subdivision
734:10.1006/acha.1994.1024
628:
608:
385:10.4153/CJM-1980-115-9
331:
153:University of Zaragoza
97:. He retired in 2016.
16:American mathematician
785:10.1007/s003659900045
629:
609:
505:(over 2160 citations)
332:
330:{\displaystyle L^{1}}
182:Selected publications
149:Oberwolfach Institute
79:University of Uppsala
56:Chebyshev polynomials
48:East Side High School
1188:Universidad Zaragoza
884:(over 980 citations)
863:(over 520 citations)
618:
598:
542:. pp. 163–186.
314:
28:approximation theory
1307:math.auckland.ac.nz
1298:Reid, John (2016).
1287:(1). February 1993.
1190:. 13 December 1994.
939:2011InvPr..27d5009M
650:1992MaCom..59...97D
594:"Blossoming begets
415:1983SJNA...20..362J
207:10.1147/rd.164.0372
1391:Numerical analysts
890:Neural Computation
823:Neural Computation
624:
604:
523:10.1007/BF01893414
501:10.1007/BF01893414
463:10.1007/BFb0075157
438:. 52–53: 217–234.
327:
235:10.1007/BF02756708
114:geometric modeling
83:Theodore J. Rivlin
66:was supervised by
52:Rutgers University
44:Newark, New Jersey
24:numerical analysis
1262:978-94-009-2017-0
627:{\displaystyle B}
607:{\displaystyle B}
472:978-3-540-15234-7
302:978-1-4684-2390-7
287:. pp. 1–54.
157:Puerto de la Cruz
136:theory. In 1974
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927:Inverse Problems
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138:I. J. Schoenberg
134:machine learning
126:radial functions
102:total positivity
32:machine learning
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351:10.1137/0508015
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130:neural networks
104:, multivariate
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999:(1): 328–342.
988:
970:(2): 401–426.
959:
922:
896:(1): 177–204.
885:
864:
829:(1): 177–204.
818:
797:
779:(3): 293–328.
768:
750:(4): 455–545.
739:
727:(4): 391–401.
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685:
675:(2): 507–537.
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178:in St. Louis.
73:Influenced by
50:, he attended
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1182:honores causa
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122:interpolation
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68:Samuel Karlin
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110:refinability
99:
72:
63:
41:
19:
18:
1361:1942 births
1277:"Editorial"
808:: 344–375.
644:(199): 97.
144:in Warsaw.
60:Gábor Szegő
1355:Categories
1152:References
75:Gene Golub
58:taught by
1099:As editor
1021:213722840
1013:1063-5203
955:119538701
843:0899-7667
700:: 69–85.
634:-patches"
531:189914732
517:: 11–22.
394:122375013
359:0036-1410
244:121533778
38:Biography
984:20378302
918:12725766
910:15563752
859:12725766
851:15563752
793:15299124
764:18838600
187:Articles
161:Tenerife
118:wavelets
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