Grace Wahba
Also known as Grace Goldsmith Wahba, Grace Goldsmith
Grace Wahba is a statistician whose methods for smoothing noisy data with splines helped shape kernel-based machine learning algorithms such as support vector machines. After earning a mathematics degree at Cornell in 1956, she posed Wahba's problem on satellite orientation while working at IBM in 1965 and completed a Stanford doctorate in 1966. In 1967, she became the first female faculty member in the statistics department at the University of Wisconsin–Madison. With George Kimeldorf, she gave the first statement of a representer theorem in 1970, and in 1979 she introduced generalized cross-validation with Gene Golub and Michael Heath. Elected to the National Academy of Sciences in 2000 and awarded the 2025 International Prize in Statistics, she is a professor emerita of statistics at UW–Madison.
Timeline
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1956–1962
Mathematics at Cornell and Maryland
She grows up in Montclair, New Jersey, and earns a bachelor's degree in mathematics from Cornell in 1956. She completes a master's degree at the University of Maryland, College Park in 1962.
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1965–1966
Wahba's problem and a Stanford PhD
In 1965, while working at IBM on satellite data, she poses Wahba's problem: how best to orient a satellite from observations of its position relative to specific stars. As a working single mother, she completes her doctorate at Stanford in 1966, advised by Emanuel Parzen, with a thesis on cross spectral distribution theory for mixed spectra.
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1967
First woman on Wisconsin's statistics faculty
She joins the Department of Statistics at the University of Wisconsin–Madison in 1967 as its first female faculty member. Her work there centers on extracting information from large data sets, particularly in medicine.
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1970
An early representer theorem
In 1970, she and George Kimeldorf publish a paper linking Bayesian estimation on stochastic processes with smoothing by splines, giving the first statement of a representer theorem. The theorem shows that optimizing functions over infinite-dimensional spaces can be reduced to finite-dimensional problems. From the early 1970s, she develops theoretical foundations and computational algorithms for fitting smoothing splines to noisy data.
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1979–1990
Generalized cross-validation and spline models
In 1979, she coauthors "Generalized cross-validation as a method of choosing a good ridge parameter" with Gene Golub and Michael Heath, introducing the GCV criterion for selecting smoothing parameters automatically. Her 1990 monograph Spline Models for Observational Data builds on a series of papers with co-authors. Her methods are instrumental in the development of kernel-based algorithms such as support vector machines.
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1997–2000
Elected to two academies
She is elected to the American Academy of Arts and Sciences in 1997 and to the National Academy of Sciences in 2000. She is also a fellow of the American Association for the Advancement of Science, the American Statistical Association and the Institute of Mathematical Statistics.
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2021–2025
Wahba Award and International Prize
In 2021, the Institute of Mathematical Statistics establishes the Grace Wahba Award and Lecture in her honor. She wins the 2025 International Prize in Statistics for her work on smoothing splines, which transformed data analysis and machine learning. She is the fifth individual to receive the prize, which carries an $80,000 award.
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As of October 2026
Professor emerita at Wisconsin
She retires from UW–Madison in August 2018 after a 51-year career there, having supervised the theses of 39 graduate students from four continents. She is Emerita IJ Schoenberg-Hilldale Professor of Statistics, Professor of Biostatistics and Medical Informatics, and Professor of Computer Sciences (by courtesy) at UW–Madison.
Sources and credits
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- Breaking ground with Grace – UW–Madison News
- Grace Wahba '56 awarded International Prize in Statistics | Cornell Bowers
- Grace Wahba - Wikipedia
- Grace Goldsmith Wahba | Department of Statistics, Stanford University
- Professor Emerita Grace Wahba wins coveted International Prize in Statistics – Department of Statistics – UW–Madison
- Representer theorem - Wikipedia
- Grace Wahba awarded the 2025 International Prize in Statistics - AIhub
- RSS - Grace Wahba awarded the International Prize in Statistics
- Grace Wahba Home Page