2006

1. Ulf Grenander. On the Road to Nowhere. 2006. [pdf]
   
2. Ulf Grenander. Mathematics in Biology. 2006. [PowerPoint]
3. A. Amarasingham, T.-L. Chen, S. Geman, M. Harrison, and D. Sheinberg. Spike count reliability and the Poisson Hypothesis. Journal of Neuroscience, 2006, 26(3):801-809. [pdf]
   
4. Y. Jin and S. Geman. Context and hierarchy in a probabilistic image model. CVPR, 2006. [pdf]
   
5. S. Geman. Invariance and selectivity in the ventral visual pathway. Journal of Physiology - Paris, 2006 (in press). [pdf]
   
6. E. Cinquemani and M. Micheli. State Estimation in Stochastic Hybrid Systems with Sparse Observations. IEEE Transactions on Automatic Control, 51(8):1337-1342, August 2006. [pdf]
   
7. I. Kontoyiannis and M. Madiman. Measure Concentration for Compound Poisson Distributions. Electronic Communications in Probability, Vol. 11, May 2006. [pdf]
   
8. P. W. Michor and D. Mumford. Riemannian geometries on spaces of plane curves. Journal of the European Mathematical Society, Vol. 8, No. 1, 2006. [pdf]
   
9. P. W. Michor and D. Mumford. An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach. To appear in: Applied and Computational Harmonic Analysis (ACHA). arXiv:math.DG/0605009. [pdf]
   
10. E. Sharon and D. Mumford. 2D-Shape Analysis using Conformal Mapping. International Journal of Computer Vision (IJCV), Vol. 70, No. 1, October 2006. [pdf]
    

2005

1. Asohan Amarasingham, Ting-Li Chen, Stuart Geman, Matthew Harrison, David Sheinberg. Spike Count Reliability and the Poisson Hypothesis. April 2005. [View]

2. Ulf Grenander. MATLAB software for "Patterns of Thought".. Click here to download the zip archive. Extract the files into "C:\" to obtain directory "C:\mind05\" and file "C:\mind_data.mat". Start Matlab, at the command line, do "cd C:\mind05", then enter command "think".
3. Ulf Grenander. Executable code (Windows) for "Patterns of Thought".. Click here to download the zip archive. Extract the files into "C:\" to obtain directory "C:\mind05exe\". Run C:\mind05exe\MCRInstaller.exe to install the Matlab Compliler Runtime Component. Start command prompt, "cd C:\mind05exe", then enter command "think".
4. P. W. Michor and D. Mumford. Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms. Documenta Mathematica, Vol. 10, 2005. [pdf]
   

2004

1. Matthew Harrison, Stuart Geman, Elie Bienenstock. Using Statistics of Natural Images to Facilitate Automatic Receptive Field Analysis. APPTS Report #04-2, March 2004. [pdf]

2. Matthew Harrison and Stuart Geman. An Exact Jitter Method using Dynamic Programming. APPTS Report #04-3, March 2004. [pdf]

3. Ulf Grenander. A Stochastic Partial Differential Equation for Biological Growth with Genetically Controlled Cells. [pdf]

4. Ulf Grenander. MODALITIES. Supplement to Patterns of Thought. [zip] and [PowerPoint] (Warning: with a slow connection the audio will be delayed considerably).
5. Mokshay Madiman and Ioannis Kontoyiannis. Second Order Properties of Lossy Likelihoods and the MLE/MDL Dichotomy in Lossy Compression. APPTS Report #04-5, May 2004. [pdf]

6. Asohan Amarasingham. Statistical methods for the assessment of temporal structure in the activity of the nervous system. Doctoral Dissertation, Brown University, May 2004. [pdf]

2003

1. Ulf Grenander. Towards a Theory of Natural Scenes, [ps] and [pdf].
2. Yuri Tarnopolsky. Molecules and Thoughts: Pattern Complexity and Evolution in Chemical Systems and the Mind, [pdf].

3. Matthew Harrison. The First Order Asymptotics of Waiting Times between Stationary Processes under Nonstandard Conditions. APPTS Report #03-3, April 2003. [ps] [pdf]

4. Matthew Harrison. Epi-Convergence of Lossy Likelihoods. APPTS Report #03-4, April 2003. [ps] [pdf]

5. Matthew Harrison. The Convergence of Lossy Maximum Likelihood Estimators. APPTS Report #03-5, July 2003. [ps] [pdf]

6. Wei Wu, Ann B. Lee and David Mumford. A Hierarchical Model for Minimum Entropy Data Partitioning. APPTS Report #03-6, October 2003. [pdf]

7. Asohan Amarasingham, Ting-Li Chen, Stuart Geman, and Matthew Harrison. Notes on a Spike Count Variability Test. APPTS Report #03-8, September 2003. [pdf]

2002

1. Kim S. Pedersen and Ann B. Lee. Toward a Full Probability Model of Edges in Natural Images. APPTS Report #02-1, January 2002. [ps] [pdf]

2. Ulf Grenander. A Useful Hint? Tech. Rep. D.A.M., Brown University. [doc]

3. Ulf Grenander. Computer Understanding of Natural Scenes. [ps] [pdf]

4. Ulf Grenander. Clutter17. Non-Diffeomorphic Background Deformations. [ps] [pdf]

5. Ulf Grenander. Heuristic Inference in Sensory Perception with an Application to Computer Vision. [ps] [pdf]

6. V. Castelli and I. Kontoyiannis. An Efficient Recursive Partitioning Algorithm for Classification, Using Wavelets. APPTS Report #02-7, September 2002. [ps] [pdf]

7. M. Micheli and M. I. Jordan Random Sampling of a Continiuous-time Stochastic Dynamical System. APPTS Report #02-8, October 2002. [pdf]

8. Tai Sing Lee and David Mumford. Hierarchical Bayesian Inference in the Visual Cortex. APPTS Report #02-9, November 2002. [pdf]

9. D. Mumford. Pattern Theory: the Mathematics of Perception. APPTS Report #02-10, August 2002. [pdf]

10. C. Lu, Y. Cao and D. Mumford. Surface Evolution under Curvature Flows. Journal of Visual Communication and Image Representation, Vol. 13, 65-81, 2002. [pdf]

2001

1. I. Kontoyiannis and J. Zhang. Arbitrary source models and Bayesian codebooks in rate-distortion theory. APPTS Report #01-1, April 2001. [ps] [pdf]

2. A. Dembo and I. Kontoyiannis. Source coding, large deviations, and approximate pattern matching. APPTS Report #01-2, April 2001. [ps] [pdf]

3. Ann B. Lee, Kim S. Pedersen and David Mumford. The Nonlinear Statistics of High-Contrast Patches in Natural Images. APPTS Report #01-3, June 2001 (Revised Dec 2001). [ps] [pdf]

4. Anuj Srivastava, Xiuwen Liu and Ulf Grenander. Universal analytical forms for modeling image probabilities. APPTS Report #01-4, November 2001. [ps] [pdf]

5. I. Kontoyiannis and A.D. Sezer. A remark on unified error exponents: Hypothesis testing, data compression and measure concentration. APPTS Report #01-5, November 2001. [ps] [pdf]

6. I. Kontoyiannis. Pattern matching and lossy data compression on random fields. APPTS Report #01-6, November 2001. [ps] [pdf]

7. I. Kontoyiannis and P. Harremoes. Entropy and the law of small numbers. APPTS Report #01-7, December 2001. [ps] [pdf]

8. Oddvar Husby and Ulf Grenander. A Model for Recognition of 3D Non-dense Objects in Range images. [ps] [pdf]

1999

1. U. Grenander, Clutter 5, Tech. Rep., March 1999. [ps]

2. U. Grenander, Clutter 6, Tech. Rep., April 1999. [ps]

1998-99

Earlier publications:

CD-ROMs

• Evolving Anatomies, by Ulf Grenander and Larisa Matejic. It presents some elementary ideas about Computational Anatomy.
• Automated Target Recognition, by Anuj Srivastava and Ulf Grenander. Slightly more difficult, deals with object recognition.
• Windows on the World, by Ulf Grenander. An invitation to work on a mathematical theory of the mind. Advanced.
• A CD-ROM presenting a universal law for natural scenes can be obtained by writing to anuj@stat.fsu.edu: A. Srivastava, U. Grenander and X. Liu: NATURAL IMAGE STATISTICS. BESSEL K FORMS .