1. David Mumford Home Page David Mumford is working on similarity metrics and on statistics of natural scenes. He links the properties of the real world to propertie of neurons in the nervous system. http://www.dam.brown.edu/people/mumford/

David Mumford University Professor Div. of Applied Mathematics Brown University, Box F Providence RI, 02912 Email: David_Mumford@brown.edu Phone: 401-863-3441 FAX: 401-863-1355 182 George St., room 210 JUST FINISHED (2002): Indra’s Pearls Pattern theory overview Ideas on the mechanisms of cortical computations (with T.S.Lee) Link to Brown Pattern Theory Group with the group’s recent publications Link to page with my recent research Link to page of my recent courses (except AM 18 described below) Link to page with other publications available online by my students and me Some articles of general interest on Calculus reform Where is math going? “The Age of Stochasticity” Full C.V. Vision students and their links: Peter Belhumeur Arthur Fridman David Fry Gaile Gordon Peter Hallinan James Huang Ann Lee Tai Sing Lee Conglin Lu Mark Nitzberg Ralph Teixeira Yang Wang Song-Chun Zhu Pattern Theory Pattern Theory started in the 70’s with the ideas of Ulf Grenander and his school at Brown. The aim is to analyze from a statistical point of view the patterns in all ‘signals' generated by the world, whether they be images, sounds, written text, DNA or protein strings, spike trains in neurons, time series of prices or weather, etc. Pattern theory proposes that the types of patterns – and the hidden variables needed to describe these patterns – found in one class of signals will often be found in the others and that their characteristic variability will be similar. The underlying idea is to find classes of stochastic models which can capture

2. Professor David B. Mumford David B. Mumford Higgins Professor of Mathematics PhD, mathematics, Harvard University, 1961 Office Science Center 519 Modeling of Biological Vision and Cognition http://hrl.harvard.edu/people/faculty/mumford/mumford.html

David B. Mumford Higgins Professor of Mathematics PhD, mathematics, Harvard University, 1961 Office: Science Center 519 Phone: (617)495-5487 Email: mumford@math.harvard.edu David Mumford is presently on leave at the Division of Applied Mathematics at Brown University Research Interests Computer Vision Pattern Theory Modeling of Biological Vision and Cognition Graduate Students Ralph Teixeira Song Chun Zhu PostDocs Tai Sing Lee Robert Ogniewicz Research Projects Bayesian Analysis of Low-level Vision. Prof. David Mumford , Prof. Alan Yuille A major thrust in the vision work of the lab has been to construct more and more inclusive probability models for the set of all possible images, and to use these together with Bayesian probability theory to find estimates of the 3D structure behind real world 2D images. There are many visual cues used by people to determine depth and object boundaries. This Bayesian framework can be used to couple together diverse cues in a robust and optimal manner. This work is partially inspired by psychophysical experiments and, in turn, we attempt to use our theories to explain these experimental results. Deformable Templates for Object Recognition.

3. Mumford David Bryant Mumford. Born 11 June 1937 in Worth, Sussex, England. DavidMumford's father, William Mumford, was English and 2. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Mumford.html

David Bryant Mumford Born: 11 June 1937 in Worth, Sussex, England Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index David Mumford 's father, William Mumford, was English and [2]:- ... a visionary with an international perspective, who started an experimental school in Tasmania based on the idea of appropriate technology... Mumford's father worked for the United Nations from its foundations in 1945 and this was his job while Mumford was growing up. Mumford's mother was American and the family lived on Long Island Sound in the United States, a semi-enclosed arm of the North Atlantic Ocean with the New York- Connecticut shore on the north and Long Island to the south. After attending Exeter School, Mumford entered Harvard University. It was at Harvard that Mumford first became interested in algebraic varieties. He relates in [2]:- ... a classmate said "Come with me to hear Professor Zariski 's first lecture, even though we won't understand a word" and Oscar Zariski bewitched me. When he spoke the words "algebraic variety", there was a certain resonance in his voice that said distinctly that he was looking into a secret garden. I immediately wanted to be able to do this too. It led me to

4. DBLP: David Mumford David Mumford. 8, Ann B. Lee, David Mumford, Jinggang Huang Occlusion Models forNatural Images A Statistical Study of a ScaleInvariant Dead Leaves Model. http://www.informatik.uni-trier.de/~ley/db/indices/a-tree/m/Mumford:David.html

David Mumford List of publications from the DBLP Bibliography Server FAQ Ask others: ACM CiteSeer CSB Google ... Home Page (Link generated by HomePageSearch Ann B. Lee , David Mumford, Jinggang Huang : Occlusion Models for Natural Images: A Statistical Study of a Scale-Invariant Dead Leaves Model. International Journal of Computer Vision 41 Alan L. Yuille Song Chun Zhu , David Mumford: Introduction by Guest Editors. International Journal of Computer Vision 41 Song Chun Zhu Alan L. Yuille , David Mumford: Guest Editorial: Statistical and Computational Theories of Vision: Modeling, Learning, Sampling and Computing, Part I. International Journal of Computer Vision 40 Song Chun Zhu , David Mumford: GRADE: Gibbs Reaction and Diffusion Equation. ICCV 1998 Song Chun Zhu , David Mumford: Prior Learning and Gibbs Reaction-Diffusion. IEEE Transactions on Pattern Analysis and Machine Intelligence 19 Song Chun Zhu Zing Nian Wu , David Mumford: Minimax Entropy Principle and Its Application to Texture Modeling. Neural Computation 9 Mark Nitzberg , David Mumford, Takahiro Shiota : Filtering, Segmentation and Depth. Springer 1993

5. Mumford David Translate this page KNICKERBOCKER Pierre. KNICKERBOCKER Timothée. mumford david. MUMFORDEugene. RACINE Daniel. Rencontrez nos Professeurs Descriptif des cours! http://ibbl.mantes.online.fr/Profs/Mumford_Davidx.html

NOS PROFS UNE PRIORITE: La France - UN CHAMP: Le Monde - UN LIVRE: La Bible - UN MESSAGE: La Croix NOS PROFS Dernière modification de cette page : 21/01/03 ABBETT Gailen ALLARDICE Wiliam BARNES Steve BOADA Samuel ... RACINE Daniel Notre Ecole Nos Cours Nos Etudiants Notre Personnel Notre Campus ... Nos Tarifs Nos Profs

6. David Mumford mumford david. Hafner,K. Markoff,J. Cyberpunk. 1992 (297). pages citedthis search 1 Order hard copy of these pages Show a social http://www.namebase.org/xmot/David_Mumford.html

MUMFORD DAVID Hafner,K. Markoff,J. Cyberpunk. 1992 pages cited this search: 1 Order hard copy of these pages Show a social network diagram for this name Try another NameBase search Back to home page

7. Names From NameBase MULTIPRESS MULVANEY JIM MULVENA CECIL WV MULVENNA DANIEL MULVENON JAMES C MULVEYDONALD P MULVEY MARK E MULVEY WILLIAM (COL) mumford david MUMFORD LEWIS MUMMA http://www.namebase.org/xd/xmot.html

MOTAMEDY NADER MOTE CARL MOTEVASSELIAN AHMAD MOTHENA TED J MOTAMEDY NADER MOTE CARL MOTEVASSELIAN AHMAD MOTHENA TED J ... Back to home page

8. David Mumford - ResearchIndex Document Query Searching for PHRASE david mumford. Wang (1991) (Correct) (3 citations) of theauthor's dissertation under Professor David Mumford at Harvard University. http://citeseer.nj.nec.com/cs?q=David Mumford

9. Advanced Search View Basket Your Account Order Status Help Home Your search for mumford+david yielded 4 results using author Displayingresults 1 to 4. 1. Indra's Pearls Mumford, David Ordered http://www.countrybookshop.co.uk/cgi-bin/search.pl?searchtype=author&searchtext=

10. Mumford, David Bryant david Bryant mumford. Personal Homepage tp//www.dam.brown.edu/people/mumford/.Born June 11, 1937, Three Bridges, Sussex, England. Education http://elib.zib.de/IMU/EC/MumfordDB.html

David Bryant MUMFORD Personal Homepage: tp://www.dam.brown.edu/people/mumford/ Born: June 11, 1937, Three Bridges, Sussex, England Education: 1957 B.A., Magna Cum Laude, Harvard College 1961 Ph.D., Harvard University Positions: 1961-1962 Instructor and Research Fellow in Mathematics, Harvard University 1962-1963 Assistant Professor, Harvard University 1962-1963 Member, Institute for Advanced Study, Princeton and Visiting Professor, University of Tokyo 1963-1967 Associate Professor, Harvard University 1967-1977 Professor, Harvard University 1967-1968 Visiting Professor, Tata Institute of Fundamental Research 1970-1971 Nuffield Professor, University of Warwick 1976-1977 Visiting Professor, Institut des Hautes Etudes Scientifiques, Paris 1977- Higgins Professor of Mathematics, Harvard University 1978-1979 Visiting Professor, Tata Institute of Fundamental Research 1981-1984 Chairman, Department of Mathematics, Harvard University 1985- Member, Division of Applied Science, Harvard University 1991-1994 Vice-President, International Mathematical Union 1993 Rothschild Professor, Isaac Newton Institute, Cambridge University

11. Mumford, David Bryant david Bryant mumford. Address Brown University Division of AppliedMathematics Providence, Rhode Island 02912F USA. Phone +1/401 http://elib.zib.de/IMU/bulletin/38/IMU.EC/MumfordDB.html

David Bryant MUMFORD Address: Brown University Division of Applied Mathematics Providence, Rhode Island 02912-F USA Phone: FAX: E-Mail: David_Mumford@Brown.edu Home Phone: Born: June 11, 1937, Three Bridges, Sussex, England Education: 1957 B.A., Magna Cum Laude, Harvard College 1961 Ph.D., Harvard University Positions: 1961-1962 Instructor and Research Fellow in Mathematics, Harvard University 1962-1963 Assistant Professor, Harvard University 1962-1963 Member, Institute for Advanced Study, Princeton and Visiting Professor, University of Tokyo 1963-1967 Associate Professor, Harvard University 1967-1977 Professor, Harvard University 1967-1968 Visiting Professor, Tata Institute of Fundamental Research 1970-1971 Nuffield Professor, University of Warwick 1976-1977 Visiting Professor, Institut des Hautes Etudes Scientifiques, Paris 1977- Higgins Professor of Mathematics, Harvard University 1978-1979 Visiting Professor, Tata Institute of Fundamental Research 1981-1984 Chairman, Department of Mathematics, Harvard University 1985- Member, Division of Applied Science, Harvard University

12. Mumford Biography of david mumford (19370BC) david Bryant mumford. Born 11 June 1937 in Worth, Sussex, England http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Mumford.html

David Bryant Mumford Born: 11 June 1937 in Worth, Sussex, England Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index David Mumford 's father, William Mumford, was English and [2]:- ... a visionary with an international perspective, who started an experimental school in Tasmania based on the idea of appropriate technology... Mumford's father worked for the United Nations from its foundations in 1945 and this was his job while Mumford was growing up. Mumford's mother was American and the family lived on Long Island Sound in the United States, a semi-enclosed arm of the North Atlantic Ocean with the New York- Connecticut shore on the north and Long Island to the south. After attending Exeter School, Mumford entered Harvard University. It was at Harvard that Mumford first became interested in algebraic varieties. He relates in [2]:- ... a classmate said "Come with me to hear Professor Zariski 's first lecture, even though we won't understand a word" and Oscar Zariski bewitched me. When he spoke the words "algebraic variety", there was a certain resonance in his voice that said distinctly that he was looking into a secret garden. I immediately wanted to be able to do this too. It led me to

13. Mumford, David Bryant david Bryant mumford. Address Brown University. Division of Applied Mathematics http://www.math.tifr.res.in/IMU/bulletin/38/IMU.EC/MumfordDB.html

David Bryant MUMFORD Address: Brown University Division of Applied Mathematics Providence, Rhode Island 02912-F USA Phone: FAX: E-Mail: David_Mumford@Brown.edu Home Phone: Born: June 11, 1937, Three Bridges, Sussex, England Education: 1957 B.A., Magna Cum Laude, Harvard College 1961 Ph.D., Harvard University Positions: 1961-1962 Instructor and Research Fellow in Mathematics, Harvard University 1962-1963 Assistant Professor, Harvard University 1962-1963 Member, Institute for Advanced Study, Princeton and Visiting Professor, University of Tokyo 1963-1967 Associate Professor, Harvard University 1967-1977 Professor, Harvard University 1967-1968 Visiting Professor, Tata Institute of Fundamental Research 1970-1971 Nuffield Professor, University of Warwick 1976-1977 Visiting Professor, Institut des Hautes Etudes Scientifiques, Paris 1977- Higgins Professor of Mathematics, Harvard University 1978-1979 Visiting Professor, Tata Institute of Fundamental Research 1981-1984 Chairman, Department of Mathematics, Harvard University 1985- Member, Division of Applied Science, Harvard University

14. References For Mumford References for david mumford. H Popp, Zum mathematischen Werk von david mumford,Jahrbuch überblicke Mathematik, 1975 (Mannheim, 1975), 142149. http://www-gap.dcs.st-and.ac.uk/~history/References/Mumford.html

References for David Mumford Biography in Encyclopaedia Britannica. Articles: D Mumford, Autobiography of David Mumford, in M Atiyah and D Iagolnitzer (eds.), Fields Medallistists Lectures (Singapore, 1997), 225. D Mumford, Pattern theory : a unifying perspective, in M Atiyah and D Iagolnitzer (eds.), Fields Medallistists Lectures (Singapore, 1997), 226-261. H Popp, Zum mathematischen Werk von David Mumford, (Mannheim, 1975), 142-149. J Tate, The 1974 Fields medals I : An algebraic geometer, Science J Tate, The work of David Mumford, Proceedings of the International Congress of Mathematicians, Vancouver, 1974 (Montreal, Que., 1975), 11-15. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR April 1998 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Mumford.html

15. Neuronal Architectures For Pattern-theoretic Problems - Mumford for Patterntheoretic Problems (1994) (Make Corrections) (25 citations). david mumford. Home/Search Context Related http://citeseer.nj.nec.com/mumford94neuronal.html

16. Graph Theory White Pages Mumford, David mumford, david. Graph Theory Publications Chordal completions of planargraphs. (with Chung, FRK) J. Combin. Theory Ser. B 62 (1994 http://www.cs.columbia.edu/~sanders/graphtheory/people/random.cgi?Mumford, David

17. Letter From Joshua Lederberg To David M. Mumford (January 9, 1974) Lederberg, Joshua Recipient mumford, david M. Rights Reproduced with permission of Joshua Lederberg. http://www.profiles.nlm.nih.gov/BB/A/Q/Q/N

The Joshua Lederberg Papers Title: Letter from Joshua Lederberg to David M. Mumford Number of Image Pages: 2 (108,791 Bytes) Date: 1974-01-09 (January 9, 1974) Creator: Lederberg, Joshua Recipient: Mumford, David M. Rights: Reproduced with permission of Joshua Lederberg. Relation: Lederberg Grouping: Correspondence D Unique Identifier: BBAQQN Accession Number: Document Type: Letters (correspondence) Language: English Format: application/pdf image/tif Physical Condition: Good Series: Correspondence SubSeries: Folder: Mumford, David Metadata Last Modified Date: Search The Joshua Lederberg Papers Profiles in Science U.S. National Library of Medicine

18. David Bryant Mumford - CIRS mumford, david BRYANT. Email mumford@math.harvard.edu. Professor Emeritusat Harvard University, Department of Mathematics. 1974 Fields Medal. http://www.cirs.net/researchers/mathematics/mumforddavidbryant.htm

MUMFORD, DAVID BRYANT E-mail : mumford@math.harvard.edu Professor Emeritus at Harvard University , Department of Mathematics. 1974 Fields Medal. Contributed to problems of the existence and structure of varieties of moduli, varieties whose points parametrize isomorphism classes of some type of geometric object. Also made several important contributions to the theory of algebraic surfaces. Research interests : Algebraic Geometry, specifically the classification and moduli spaces of curves, surfaces and abelian varieties. 1983-present Theory of vision, specifically the statistics of visual signals, algorithms in computer vision and issues of neural computation, human/animal vision. various Pedagogical projects, e.g. elementary book on the computation of limit sets of Kleinian groups, multi-variable calculus with Calculus Consortium based at Harvard. Selected Publications : 1. Geometric Invariant Theory, Springer-Verlag, 1965; 2nd enlarged edition, (with J. Fogarty), 1982; 3rd enlarged edition, (with F. Kirwan and J. Fogarty), 1994. 2. On the Equations Defining Abelian Varieties I, II, III, Inv. Math., vol. 1, 1966, and vol. 3, 1967.

19. David Bryant Mumford - CIRS Professor Emeritus at Harvard University, Department of Mathematics, USA. mumford, david BRYANT. mumford@math.harvard.edu http://www.cirs.net/Chercheurs/mathematics/mumforddavidbryant.htm

MUMFORD, DAVID BRYANT mumford@math.harvard.edu Professor Emeritus at Harvard University , Department of Mathematics. 1974 Fields Medal. Contributed to problems of the existence and structure of varieties of moduli, varieties whose points parametrize isomorphism classes of some type of geometric object. Also made several important contributions to the theory of algebraic surfaces. Research interests: Algebraic Geometry, specifically the classification and moduli spaces of curves, surfaces and abelian varieties. 1983-present Theory of vision, specifically the statistics of visual signals, algorithms in computer vision and issues of neural computation, human/animal vision. various Pedagogical projects, e.g. elementary book on the computation of limit sets of Kleinian groups, multi-variable calculus with Calculus Consortium based at Harvard. Selected Publications : 1. Geometric Invariant Theory, Springer-Verlag, 1965; 2nd enlarged edition, (with J. Fogarty), 1982; 3rd enlarged edition, (with F. Kirwan and J. Fogarty), 1994. 2. On the Equations Defining Abelian Varieties I, II, III, Inv. Math., vol. 1, 1966, and vol. 3, 1967.

20. L'annuaire International Des Chercheurs - CIRS Translate this page MULLEN, CURTIS, T. MEYER, YVES MIHAILESCU, PREDA MORI, SHIGEFUMI MORRISON, davidR. MOSCHOVAKIS, YIANNIS N. MULLER, PETER mumford, david BRYANT NIEMINEN, RISTO http://www.cirs.net/researchers/mathematics/Noms.htm

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