Ulf Grenander
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Swedish mathematician
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Ulf Grenandermathematics Degrees
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Probability Theory
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Measure Theory
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Mathematics
Why Is Ulf Grenander Influential?
(Suggest an Edit or Addition)According to Wikipedia, Ulf Grenander was a Swedish statistician and professor of applied mathematics at Brown University. His early research was in probability theory, stochastic processes, time series analysis, and statistical theory . In recent decades, Grenander contributed to computational statistics, image processing, pattern recognition, and artificial intelligence. He coined the term pattern theory to distinguish from pattern recognition.
Ulf Grenander's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Toeplitz Forms And Their Applications (1958) (2512)
- Statistical analysis of stationary time series (1958) (869)
- Computational anatomy: an emerging discipline (1998) (712)
- REPRESENTATIONS OF KNOWLEDGE IN COMPLEX SYSTEMS (1994) (687)
- Mathematical textbook of deformable neuroanatomies. (1993) (514)
- On the theory of mortality measurement (1956) (500)
- Hippocampal morphometry in schizophrenia by high dimensional brain mapping. (1998) (490)
- Hands: A Pattern Theoretic Study of Biological Shapes (1990) (408)
- A stochastic nonlinear model for coordinated bird flocks (1990) (389)
- Stochastic processes and statistical inference (1950) (389)
- Structural Image Restoration through Deformable Templates (1991) (383)
- Variational problems on ows of di eomorphisms for image matching (1998) (338)
- Probabilities on Algebraic Structures (1964) (310)
- Pattern Theory: From Representation to Inference (2007) (225)
- Statistical methods in computational anatomy (1997) (223)
- On The Geometry and Shape of Brain Sub-Manifolds (1997) (203)
- On the Estimation of Regression Coefficients in the Case of an Autocorrelated Disturbance (1954) (187)
- Elements of Pattern Theory (1996) (177)
- Probability Models for Clutter in Natural Images (2001) (176)
- General Pattern Theory: A Mathematical Study of Regular Structures (1993) (144)
- Hilbert-Schmidt Lower Bounds for Estimators on Matrix Lie Groups for ATR (1998) (135)
- Conditional-mean estimation via jump-diffusion processes in multiple target tracking/recognition (1995) (135)
- Individualizing Neuroanatomic Atlases Using a Massively Parallel Computer (1996) (130)
- Dynamic Programming Generation of Curves on Brain Surfaces (1998) (129)
- Universal Analytical Forms for Modeling Image Probabilities (2002) (121)
- Statistical Spectral Analysis of Time Series Arising from Stationary Stochastic Processes (1953) (111)
- Hierarchical brain mapping via a generalized Dirichlet solution for mapping brain manifolds (1995) (101)
- Comparing sweep strategies for stochastic relaxation (1991) (91)
- Pattern analysis (1978) (85)
- Spectral Analysis of Networks with Random Topologies (1977) (85)
- Probability and Statistics: The Harald Cramer Volume. (1960) (83)
- Lectures in pattern theory (1978) (81)
- Automatic target recognition organized via jump-diffusion algorithms (1997) (75)
- A prediction problem in game theory (1957) (70)
- On empirical spectral analysis of stochastic processes (1952) (69)
- Some Direct Estimates of the Mode (1965) (68)
- A Unified Approach to Pattern Analysis (1970) (65)
- Differential geometry of the cortical surface (1995) (64)
- Towards automated image understanding (1989) (62)
- The Distribution of Quadratic Forms in Normal Variates: A Small Sample Theory with Applications to Spectral Analysis (1959) (60)
- An extension of a theorem of G. Szegö and its application to the study of stochastic processes (1954) (52)
- A Pattern-Theoretic Characterization of Biological Growth (2007) (49)
- Multiple target direction of arrival tracking (1995) (45)
- Curve matching on brain surfaces using frenet distances (1998) (44)
- Probability And Statistics The Harald Cramer Volume (1962) (43)
- Foundations of pattern analysis (1969) (43)
- Jump–diffusion Markov processes on orthogonal groups for object pose estimation (2002) (41)
- On the Shape of Plane Images (1993) (40)
- Advances in Pattern Theory (1989) (39)
- Asymptotic performance analysis of Bayesian target recognition (2000) (37)
- Developmental matching and the numerical matching hypothesis for neuronal cell death. (1982) (36)
- Ergodic Algorithms on Special Euclidean Groups for ATR (1997) (36)
- Mathematical experiments on the computer (1982) (32)
- A Sieve Method for the Spectral Density (1985) (32)
- Quantitative Methods for Evaluating Computer System Performance: a Review and Proposals (1972) (29)
- A Stochastic Shape and Color Model for Defect Detection in Potatoes (1993) (28)
- A Short Course In Computational Probability And Statistics (1971) (26)
- Parameter Estimation for Constrained Context-Free Language Models (1992) (24)
- On the Formulation of Statistical Meteorology (1965) (24)
- Constrained Stochastic Language Models (1996) (22)
- Accommodating geometric and thermodynamic variability for forward-looking infrared sensors (1997) (22)
- Pattern synthesis (1976) (22)
- Some remarks on bonus systems in automobile insurance (1957) (21)
- Asymptotic Performance Analysis of Bayesian Object Recognition (1998) (21)
- A course in computational probability and statistics (1971) (18)
- nal-Mean Estimation Via Jump-Diffusion ses in Multiple Target Tracking/Recognition (1995) (18)
- On Toeplitz forms and stationary processes (1952) (17)
- On Spectral Analysis of Stationary Time Series. (1952) (17)
- Patterns in Program References (1975) (15)
- Bandwidth and Variance in Estimation of the Spectrum (1958) (14)
- Membranes, mitochondria and amoebae: shape models (1994) (14)
- Probability and Statistics (1961) (14)
- Statistical geometry: A tool for pattern analysis (1973) (13)
- Lectures in pattern theory - Volume 1: Pattern synthesis (1976) (13)
- SOME PROPERTIES OF A NEURAL MODEL FOR MEMORY (1995) (13)
- Curve Matching on Brain Surfaces Using Induced Frenet Distance Metrics (2000) (12)
- Some Problems in Estimating the Spectrum of a Time Series (1956) (12)
- Characterization of biological growth using iterated diffeomorphisms (2006) (12)
- REGRESSION ANALYSIS OF TIME SERIES WITH STATIONARY RESIDUALS. (1954) (12)
- Direct Estimation of Biological Growth Properties from Image Data Using the "GRID" Model (2009) (12)
- A computer experiment in pattern theory (1989) (11)
- Stochastic groups (1961) (11)
- Bayesian Segmentation via Asymptotic Partition Functions (2000) (11)
- A Computational Approach to Statistics (1971) (11)
- Geometries of knowledge (1997) (10)
- Maximum-Likelihood Estimation of Biological Growth Variables (2005) (10)
- Statistical approximation of plane convex sets (1967) (9)
- Surface patterns in theoretical geography (1977) (9)
- Approximate distributions of noise power measurements (1959) (9)
- A Limit Theorem for Sums of Minima of Stochastic Variables (1965) (9)
- Metric Pattern Theory (1981) (9)
- Computer-generated image algebras (1968) (9)
- Regular structures (1981) (8)
- Large Sample Discrimination Between Two Gaussian Processes with Different Spectra (1974) (7)
- Time Series Analysis. Methuen Monographs on Applied Probability and Statistics (1962) (7)
- A Calculus of Ideas: A Mathematical Study of Human Thought (2012) (7)
- Lectures in Pattern Theory: Volume 2: Pattern Analysis (2012) (7)
- Monte Carlo Techniques for Automated Target Recognition (2001) (6)
- Letter to the Editor-An Experiment in Teaching Operations Research (1965) (6)
- Toward a theory of patterns (1967) (6)
- Symposium on Probability Methods in Analysis (1967) (6)
- On heterogeneity in non-life insurance. Part I (1957) (5)
- New Computational Methods for the Construction of "Darcyan" Biological Coordinate Systems (2007) (5)
- Lie group parametrization for dynamics based prior in ATR (1994) (5)
- An Application Of The Global Model (1991) (5)
- Jump-diffusion processes on matrix Lie groups for Bayesian inference (1999) (5)
- Markov random field models for natural language (1995) (5)
- Jump-di usion Markov Processes on Or-thogonal Groups for Object Post Estimation (2002) (5)
- Metrics for target recognition (1998) (5)
- Analytical models for reduced spectral representations of images (2001) (5)
- Global shape models for optical sectioning microscopy (1992) (4)
- Some Properties of Statistical Reliability Functions (1966) (4)
- A survey of the life and works of Harald Cramér (1995) (4)
- Introduction to the Theory of Stochastic Processes Depending on a Continuous Parameter. (1954) (4)
- Understanding variable shapes in 3-d (1995) (4)
- On the mathematics of growth (2007) (4)
- izing Neuro- assively (1996) (4)
- Computational Probability and Statistics (1972) (4)
- Stochastic processes and integral equations (1949) (3)
- A TACTICAL STUDY OF EVASIVE MANEUVERS (1968) (3)
- GRID macroscopic growth law and its application to image inference (2011) (3)
- Dynamic models of geomorphological patterns (1975) (3)
- EIGHT LECTURES ON STATISTICAL INFERENCE IN STOCHASTIC PROCESSES. (1967) (2)
- A Mutual Reinsurance Scheme (1971) (2)
- Mixed limit theorems for pattern analysis (1994) (2)
- Analytical Image Models and Their Applications (2002) (2)
- On Mathematical Semantics: A Pattern Theoretic View. (1978) (2)
- Stochastic Models in the Theory of Pursuit (1965) (2)
- Pictures as Complex Systems (1986) (2)
- Detection of multiple airborne targets from multisensor data (1995) (2)
- On heterogeneity in non-life insurance. Part II (1957) (1)
- Stochastic groups (1962) (1)
- TOWARDS A THEORY OF NATURAL SCENES 1 (2003) (1)
- HEURISTIC INFERENCE IN SENSORY PERCEPTION WITH AN APPLICATION TO COMPUTER VISION 1 (2002) (1)
- Stochastic Groups and Related Structures (1961) (1)
- Aspects of Pattern Theory. (1981) (1)
- LOÈVE, MICHEL: Probability theory. Foundations Â? random sequences (1956) (1)
- Time-Series Analysis (1971) (1)
- Geometrics of knowledge. (1997) (1)
- Asymptotic probabilities in Bayesian target recognition (1998) (1)
- MODELS FOR STATISTICAL ANALYSIS OF RANGE IMAGES (2001) (1)
- Review: B. V. Gnedenko, B. D. Seckler, The Theory of Probability (1964) (1)
- Computer aided identification of eugonic gram-negative bacilli: clustering for bacteriological screening. (1976) (1)
- Comments on statistical speetral analysis (1953) (1)
- ] with generators (1995) (1)
- A contribution to the theory of Toeplitz matrices (1955) (1)
- Performance Modelling of Autonomous Electro-Optical Sensors. Experimental Algorithms and Software for ATR (1987) (0)
- Jump-Di usion Markov Processes on OrthogonalGroups for Object (1999) (0)
- Foundations of Object Detection and Recognition (1998) (0)
- Discussion of Session IV (1972) (0)
- SOME IDEAS IN COMPUTATIONAL PROBABILITY (1980) (0)
- Abduction of Semantic Patterns (1979) (0)
- PATTERNS IN GROWTH (2004) (0)
- Particular Stochastic Processes (1971) (0)
- Some Topology of Image Algebras (1981) (0)
- Network Pattern Processors (1978) (0)
- Dealing with Highly Variable Patterns (1991) (0)
- Metrics Spaces for the Infinite Dimensional Diffeomorphisms (2006) (0)
- Matrix Group Actions Transforming Patterns (2006) (0)
- Creating Thoughts: Algebra of Thinking (2012) (0)
- Synthesis of Social Patterns of Domination (1981) (0)
- A Stochastic Partial Differential Equation for Biological Growth with Genetically Controlled Cells 1 (2003) (0)
- Microwave Interference withtheFunction ofanImplanted Cardiac Pacemaker (1979) (0)
- Volume I: Joseph Berkson, Estimation by Least Squares and by Maximum Likeli- (1957) (0)
- Pattern Analysis — Experiments (1991) (0)
- Analysis of Certain Temporal Patterns (1978) (0)
- A Unified Mathematical Approach to Image Analysis. (1987) (0)
- PRELIMINARY ANNOUNCEMENT OF THE SIXTH NATIONAL CONGRESS OF APPLIED MECHANICS (2016) (0)
- Model Critique and Conclusions (1991) (0)
- Analysis of Abstract Patterns (1978) (0)
- Ends and Means in Pattern Analysis (1978) (0)
- Doubts and Certainties (2012) (0)
- Jump Diffusion Inference in Complex Scenes (2006) (0)
- A Mind Equation (2012) (0)
- BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Volume 79 , Number 5 , September 1973 STATISTICAL GEOMETRY : A TOOL FOR PATTERN ANALYSIS (2007) (0)
- Pipelined Adaptive IIR Filter Architectures Using Scattered and Relaxed Look-Ahead Transformations (1996) (0)
- Pattern Synthesis: Experiments (1991) (0)
- Restoration of discrete “star” images (1981) (0)
- Restoration of Deformed Lattice Patterns (1975) (0)
- Reflections on Future Directions (2011) (0)
- Building a GOLEM, a Thinking Machine (2012) (0)
- Image Modeling: A Mathematical Framework for Segmentation and Object Detection. (1987) (0)
- Patterns of Scientific Hypotheses (1981) (0)
- A Pattern Formalism (1981) (0)
- Abduction Machines that Learn Syntactic Patterns (1978) (0)
- A compact probability model for natural clutter (2001) (0)
- A Mathematical Framework for Image Analysis (1991) (0)
- Set Patterns and Statistical Geometry (1978) (0)
- A Model for Recognition of 3D Non-Dense Objects in Range Image (2001) (0)
- Stochastic groups (1961) (0)
- As Thinking Develops (2012) (0)
- Clutter 16: Computer Understanding of Natural Scenes (2002) (0)
- A Calculus of Ideas: A Mathematical Study of Human Thought–A Book Review (2014) (0)
- An Introduction to Compumetrics (1973) (0)
- HISTORY AS POINTS AND LINES (2006) (0)
- On the central limit theorem in Rk (2007) (0)
- Chapter 1: Randomness (1971) (0)
- Pattern Processors for Language Abduction (1978) (0)
- Fisher information in transported generator clutter models (2001) (0)
- Patterns: From Chaos to Order (1981) (0)
- Jump-Diffusion Processes for Unknown Model Order Estimation Problems (1993) (0)
- Method and apparatus for aligning images (1997) (0)
- MIND and Brain (2012) (0)
- Patterns in Mathematical Semantics (1981) (0)
- Linguistic Abduction Machines (1976) (0)
- Algebra of Regular Structures (1981) (0)
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