Borkar V, Mitter S. K, V. Borkar, S. K. Mitter
A reversible, ergodic, Markov process taking values in the space of polygonally segmented images is constructed. The stationary distribution of this process can be made to correspond to a Gibbs-type...
0. INTRODUCTION AND SURVEY OF RESULTS (2008)
A. Bensoussan, A. Bensoussan, M. C. Delfour, S. K. Mitter
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Some Discrete Approximations to a Variational Method for Image Segmentation (2007)
Kulkarni, S. R., Mitter, S. K.
Variational formulations have been proposed for a number of tasks in early vision. Discrete versions of these problems are closely related to Markov random field models and are typically used in...
Active Learning Using Arbitrary Binary Valued Queries (2007)
KulKarni, S. R., Mitter, S. K., Tsitsiklis, J. N.
The original and most widely studied PAC model for learning assumes a passive learner in the sense that the learner plays no role in obtaining information about the unknown concept. That is, the...
PAC Learning with Generalized Samples and an Application to Stochastic Geometry (2007)
Kulkarni, S. R., Mitter, S. K., Tsitsiklis, J. N., Zeitouni, O.
In this paper, we introduce an extension of the standard PAC model which allows the use of generalized samples. We view a generalized sample as a pair consisting of a functional on the concept class...
Variations on a theme by Neyman and Pearson (2004)
V. S. Borkar, S. K. Mitter, S. R. Venkatesh
A symmetric version of the Neyman-Pearson test is developed for discriminating between sets of hypotheses and is extended to encompass a new formulation of the problem of parameter estimation based...
Representation Theory for Linear Infinite Dimensional Continuous Time Systems, (2002)
Bensoussan,A., Delfour,M. C., Mitter,S. K.
Representation theory for finite dimensional systems has been the subject of a great deal of discussion in recent years. In the case of linear systems defined over fields an account of the theory can...
An Example of an Infinite Dimensional Filtering Problem: Filtering for Gyroscopic Noise. (2002)
An infinite-dimensional model is given for the generation of gryroscopic noise, which exhibits power spectral density proportional to (1/f) over a wide frequency range. The optimal filter is given...
Multiple Integral Expansions for Nonlinear Filtering. (2002)
In their seminal paper, Fujisaki, Kallianpur and Kunita showed how the best least squares estimate of a signal contained in additive white noise can be represented as a stochastic integral with...
Some Generic Invariant Factor Assignment Results Using Dynamic Output Feedback. (2002)
Working with input-output transfer functions in the frequency domain and exploiting a formulation involving Generalized Sylvester Resultants, the authors are able to derive necessary and sufficient...
Interim Technical Report, Grant AFOSR-82-0135, 15 March 1983 to 14 March 1984, (2002)
Research was carried out on the following main topics: 1. Linear and Nonlinear Filtering and related Scattering and Inverse Scattering Problems; and 2. Stochastic Control with Partial Observations....
A two-step procedure for nonparametric multiclass classifier design is described. A multiclass recursive partioning algorithm is given which generated a single binary decision tree for classifying...
Hereditary Differential Systems with Constant Delays. I. General Case, (1998)
The paper presents a discussion of the structure of hereditary differential systems defined on a Banach space with initial data in the space of p-integrable maps. Both finite and infinite time...
The theorems of existence, uniqueness and continuity derived in another paper by the authors are specialized for affine hereditary differential systems which belong to the family of Lipschitz...
Contents: Information Flow in Decentralized Systems; Decentralized Control and Large Scale Systems; Comparison of Information Structures in Decentralized Dynamic Systems; On Fluctuations in...
Linear and Nonlinear Filtering and Related Inverse Scattering Problems. (1998)
This report discusses progress made on linear and non-linear filtering theory during the grant period. The two aspects of research included: Stochastic Control Interpretation of Non-linear filtering...
Simulated Annealing with Noisy or Imprecise Energy Measurements. (1998)
The annealing algorithm (Ref. 1) is modified to allow for noisy or imprecise measurements of the energy cost function. This is important when the energy cannot be measured exactly or when it is...
Mathematical Programming Embeddings of Logic (1996)
Borkar V. S, Chandru V, Micciancio D, Mitter S. K, Vivek S. Borkar, Vijay Chandru, ...
Serious studies on spatial embeddings of logic were initiated by Robert Jeroslow (cf. [16]) a lit-
PAC LEARNING WITH GENERALIZED SAMPLES AND AN APPLICATION TO STOCHASTIC GEOMETRY 1 (1991)
Kulkami S. R, Mitter S. K, Tsitsiklis J. N, Zeitouni O, S. R. Kulkarni, S. K. Mitter, ...
In this paper, we introduce an extension of the standard PAC model which allows the use of generalized samples. We view a generalized sample as a pair consisting of a functional on the concept class...
On De Finetti coherence and Kolmogorov probability
Borkar, V. S., Konda, V. R., Mitter, S. K.
This article addresses the problem of existence of a countably additive probability measure in the sense of Kolmogorov that is consistent with a probability assignment to a family of sets which is...