its generalization to Tsallis case (2009)
Ambedkar Dukkipati, M. Narasimha Murty, Shalabh Bhatnagar
Information theoretic justification ofBoltzmann selection and
Ambedkar Dukkipati, Shalabh Bhatnagar, M. Narasimha Murty
Shannon entropy of a probability measure P, defined as − � dP dP X dµ ln dµ dµ on a measure space (X,M,µ), is not a natural extension from the discrete case. However, maximum entropy (ME)...
Gelfand-Yaglom-Perez Theorem for Generalized Relative Entropy Functionals (2008)
Ambedkar Dukkipati, Shalabh Bhatnagar, M. Narasimha Murty
The measure-theoretic definition of Kullback-Leibler relative-entropy (or simply KLentropy) plays a basic role in defining various classical information measures on general spaces. Entropy, mutual...
Quotient evolutionary space: Abstraction of evolutionary process w.r.t macroscopic properties (2008)
Ambedkar Dukkipati, M. Narasimha Murty, Shalabh Bhatnagar
Abstract- Darwinian evolution, which is characterized in terms of particular macroscopic behavior that emerges from microscopic organismic interaction, considers populations as units of evolutionary...
Towards algebraic methods for maximum entropy estimation (2008)
We show that various formulations (e.g., dual and Kullback-Csiszar iterations) of estimation of maximum entropy (ME) models can be transformed to solving systems of polynomial equations in several...
Dukkipati, Ambedkar, Bhatnagar, Shalabh, Murty, Narasimha M
Shannon entropy of a probability measure P, defined as $- \int_X(dp/d \mu) \hspace{2} ln (dp/d \mu)d \mu $ on a measure space $ (X, m,\mu )$ source, is not a natural extension from the discrete case....
Maximum Entropy in the framework of Algebraic Statistics: A First Step (2007)
Algebraic statistics is a recently evolving field, where one would treat statistical models as algebraic objects and thereby use tools from computational commutative algebra and algebraic geometry in...
Dukkipati, Ambedkar, Bhatnagar, Shalabh, Murty, Narasimha M
Shannon entropy of a probability measure P, defined as $- \int_X(dp/d \mu) \hspace{2} ln (dp/d \mu)d \mu $ on a measure space $ (X, m,\mu )$ source, is not a natural extension from the discrete case....
Nonextensive Pythagoras' Theorem (2006)
Kullback-Leibler relative-entropy, in cases involving distributions resulting from relative-entropy minimization, has a celebrated property reminiscent of squared Euclidean distance: it satisfies an...
On Generalized Measures Of Information With Maximum And Minimum Entropy Prescriptions (2006)
Kullback-Leibler relative-entropy or KL-entropy of P with respect to R defined as ∫xlnddPRdP , where P and R are probability measures on a measurable space (X, ), plays a basic role in the...
On Generalized Measures Of Information With Maximum And Minimum Entropy Prescriptions (2006)
Kullback-Leibler relative-entropy or KL-entropy of P with respect to R defined as ∫xlnddPRdP , where P and R are probability measures on a measurable space (X, ), plays a basic role in the...
On Generalized Measures Of Information With Maximum And Minimum Entropy Prescriptions (2006)
Kullback-Leibler relative-entropy or KL-entropy of P with respect to R defined as ∫xlnddPRdP , where P and R are probability measures on a measurable space (X, ), plays a basic role in the...
On Generalized Measures Of Information With Maximum And Minimum Entropy Prescriptions (2006)
Kullback-Leibler relative-entropy or KL-entropy of P with respect to R defined as ∫xlnddPRdP , where P and R are probability measures on a measurable space (X, ), plays a basic role in the...
Nonextensive triangle equality and other properties of Tsallis relative-entropy minimization (2006)
Dukkipati, Ambedkar, Murty, Narasimha M, Bhatnagar, Shalabh
Kullback-Leibler relative-entropy has unique properties in cases involving distributions resulting from relative-entropy minimization. Tsallis relative-entropy is a one-parameter generalization of...
Dukkipati, Ambedkar, Murty, M Narasimha, Bhatnagar, Shalabh
Though Shannon entropy of a probability measure $P$, defined as $- \int_{X} \frac{\ud P}{\ud \mu} \ln \frac{\ud P}{\ud\mu} \ud \mu$ on a measure space $(X, \mathfrak{M},\mu)$, does not qualify itself...
Gelfand-Yaglom-Perez Theorem for Generalized Relative Entropies (2006)
Dukkipati, Ambedkar, Bhatnagar, Shalabh, Murty, M Narasimha
The measure-theoretic definition of Kullback-Leibler relative-entropy (KL-entropy) plays a basic role in the definitions of classical information measures. Entropy, mutual information and conditional...
Uniqueness of Nonextensive entropy under Renyi's Recipe (2005)
Dukkipati, Ambedkar, Murty, M. Narasimha, Bhatnagar, Shalabh
By replacing linear averaging in Shannon entropy with Kolmogorov-Nagumo average (KN-averages) or quasilinear mean and further imposing the additivity constraint, R\'{e}nyi proposed the first formal...
Dukkipati, Ambedkar, Murty, M. Narsimha, Bhatnagar, Shalabh
As additivity is a characteristic property of the classical information measure, Shannon entropy, pseudo-additivity is a characteristic property of Tsallis entropy. Renyi generalized Shannon entropy...
Nonextensive triangle equality and other properties of Tsallis relative-entropy minimization (2005)
Dukkipati, Ambedkar, Murty, M. Narasimha, Bhatnagar, Shalabh
Kullback-Leibler relative-entropy has unique properties in cases involving distributions resulting from relative-entropy minimization. Tsallis relative-entropy is a one parameter generalization of...
Dukkipati, Ambedkar, Murty, Narasimha M, Bhatnagar, Shalabh
A generalized evolutionary algorithm based on Tsallis statistics is proposed. The algorithm uses Tsallis generalized canonical distribution, which is one parameter generalization of Boltzmann...
Dukkipati, Ambedkar, Murty, Narasimha M, Bhatnagar, Shalabh
A generalized evolutionary algorithm based on Tsallis statistics is proposed. The algorithm uses Tsallis generalized canonical distribution, which is one parameter generalization of Boltzmann...
Ambedkar Dukkipati, M. Narasimha Murty, Shalabh Bhatnagar
Abstract- A generalized evolutionary algorithm based on Tsallis statistics is proposed. The algorithm uses Tsallis generalized canonical distribution, which is one parameter generalization of...
Dukkipati, Ambedkar, Murty, M. Narasimha, Bhatnagar, Shalabh
Boltzmann selection is an important selection mechanism in evolutionary algorithms as it has theoretical properties which help in theoretical analysis. However, Boltzmann selection is not used in...
Generalized Evolutionary Algorithm based on Tsallis Statistics (2004)
Dukkipati, Ambedkar, Murty, M. Narasimha, Bhatnagar, Shalabh
Generalized evolutionary algorithm based on Tsallis canonical distribution is proposed. The algorithm uses Tsallis generalized canonical distribution to weigh the configurations for `selection'...
Dukkipati, Ambedkar, Murty, Narasimha M, Bhatnagar, Shalabh
Boltzmann selection is an important selection mechanism in evolutionary algorithms as it has theoretical properties which help in theoretical analysis. However, Boltzmann selection is not used in...
Dukkipati, Ambedkar, Murty, Narasimha M, Bhatnagar, Shalabh
Boltzmann selection is an important selection mechanism in evolutionary algorithms as it has theoretical properties which help in theoretical analysis. However, Boltzmann selection is not used in...
Ambedkar Dukkipati, M. Narasimha Murty, Shalabh Bhatnagar
Abstract — Boltzmann selection is an important selection mechanism in evolutionary algorithms as it has theoretical properties which help in theoretical analysis. However, Boltzmann selection is...
Quotient Evolutionary Space: Abstraction of Evolutionary process w.r.t macroscopic properties (2003)
Dukkipati, Ambedkar, Murty, Narasimha M, Bhatnagar, Shalabh
Darwinian evolution, which is characterized in terms of particular macroscopic behavior that emerges from microscopic organismic interaction, considers populations as units of evolutionary change. We...
Quotient Evolutionary Space: Abstraction of Evolutionary process w.r.t macroscopic properties (2003)
Dukkipati, Ambedkar, Murty, Narasimha M, Bhatnagar, Shalabh
Darwinian evolution, which is characterized in terms of particular macroscopic behavior that emerges from microscopic organismic interaction, considers populations as units of evolutionary change. We...
ACE-Model: A Conceptual Evolutionary Model For Evolutionary Computation And Artificial Life (2002)
Darwinian Evolutionary system - a system satisfying the abstract conditions: reproduction with heritable variation, in a finite world, giving rise to Natural Selection encompasses a complex and...
ACE-Model: A Conceptual Evolutionary Model For Evolutionary Computation And Artificial Life (2002)
Darwinian Evolutionary system - a system satisfying the abstract conditions: reproduction with heritable variation, in a finite world, giving rise to Natural Selection encompasses a complex and...
ACE-Model: A Conceptual Evolutionary Model For Evolutionary Computation And Artificial Life (2002)
Darwinian Evolutionary system - a system satisfying the abstract conditions: reproduction with heritable variation, in a finite world, giving rise to Natural Selection encompasses a complex and...
ACE-Model: A Conceptual Evolutionary Model For Evolutionary Computation And Artificial Life (2002)
Darwinian Evolutionary system - a system satisfying the abstract conditions: reproduction with heritable variation, in a finite world, giving rise to Natural Selection encompasses a complex and...
Selection by Parts: 'Selection in Two Episodes' in Evolutionary Algorithms (2002)
Dukkipati, Ambedkar, Murty, Narasimha M
Natural selection is the central concept of Darwinian evolution and hence selection is central for evolutionary computation. Naive models of evolution define natural selection as a process which...
Selection by Parts: 'Selection in Two Episodes' in Evolutionary Algorithms (2002)
Dukkipati, Ambedkar, Murty, Narasimha M
Natural selection is the central concept of Darwinian evolution and hence selection is central for evolutionary computation. Naive models of evolution define natural selection as a process which...
Selection by parts: `selection in two episodes' in evolutionary algorithms (2002)
Ambedkar Dukkipati, M. Narasimha Murty
Abstract- Natural selection is the central concept of Darwinian evolution and hence selection is central for evolutionary computation. Naive models of evolution define natural selection as a process...