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Articles 1 - 22 of 22
Full-Text Articles in Physical Sciences and Mathematics
Locally Dependent Natural Image Priors For Non-Blind And Blind Image Deconvolution., Kaustav Nandy Dr.
Locally Dependent Natural Image Priors For Non-Blind And Blind Image Deconvolution., Kaustav Nandy Dr.
Doctoral Theses
Degradation of photographic images is a common phenomenon that can occur due to several reasons. Astronomical images may be degraded due to atmospheric factors or telescope optics. Photographs taken using standard digital cameras may be blurred due to lack of focus, due to motion of the subject, due to low resolution, or due to camera shake during relatively long exposures. Often one wishes to correct for the effect of such degradation and recover the original image, and this has been a long-standing research problem in digital imaging. Effective solutions depend critically on the context of the problem and the type …
A Brief Treatise On Bayesian Inverse Regression., Debashis Chatterjee Dr.
A Brief Treatise On Bayesian Inverse Regression., Debashis Chatterjee Dr.
Doctoral Theses
Inverse problems, where in a broad sense the task is to learn from the noisy response about some unknown function, usually represented as the argument of some known functional form, has received wide attention in the general scientific disciplines. However, apart from the class of traditional inverse problems, there exists another class of inverse problems, which qualify as more authentic class of inverse problems, but unfortunately did not receive as much attention.In a nutshell, the other class of inverse problems can be described as the problem of predicting the covariates corresponding to given responses and the rest of the data. …
Secret Sharing And Its Variants, Matroids,Combinatorics., Shion Samadder Chaudhury Dr.
Secret Sharing And Its Variants, Matroids,Combinatorics., Shion Samadder Chaudhury Dr.
Doctoral Theses
The main focus of this thesis is secret sharing. Secret Sharing is a very basic and fundamental cryptographic primitive. It is a method to share a secret by a dealer among different parties in such a way that only certain predetermined subsets of parties can together reconstruct the secret while some of the remaining subsets of parties can have no information about the secret. Secret sharing was introduced independently by Shamir [139] and Blakely [20]. What they introduced is called a threshold secret sharing scheme. In such a secret sharing scheme the subsets of parties that can reconstruct a secret …
Some Nonparametric Hybrid Predictive Models : Asymptotic Properties And Applications., Tanujit Chakraborty Dr.
Some Nonparametric Hybrid Predictive Models : Asymptotic Properties And Applications., Tanujit Chakraborty Dr.
Doctoral Theses
Prediction problems like classification, regression, and time series forecasting have always attracted both the statisticians and computer scientists worldwide to take up the challenges of data science and implementation of complicated models using modern computing facilities. But most traditional statistical and machine learning models assume the available data to be well-behaved in terms of the presence of a full set of essential features, equal size of classes, and stationary data structures in all data instances, etc. Practical data sets from the domain of business analytics, process and quality control, software reliability, and macroeconomics, to name a few, suffer from various …
Three Essays On The Political Economics Of Conflict., Dripto Bakshi Dr.
Three Essays On The Political Economics Of Conflict., Dripto Bakshi Dr.
Doctoral Theses
A standard practice in the sociological and comparative-politics literature is to interpret ethnicity broadly as identity cleavages deriving from non-class categories such as language, religion, race and caste. In recent decades, conflicts between ‘ethnic’ communities, i.e., groups divided along non-class identity dimensions such as race, language, and, in particular, religion, have attained increasing salience in many countries. In response to this, a large analytical and empirical literature has developed both in political science and in political economics that seeks to explicate various aspects of this phenomenon. This thesis aims to throw light on two major aspects of ethnic conflicts. (1) …
Some Contributions To Free Probability And Random Matrices., Sukrit Chakraborty Dr.
Some Contributions To Free Probability And Random Matrices., Sukrit Chakraborty Dr.
Doctoral Theses
No abstract provided.
Some Topics In Leavitt Path Algebras And Their Generalizations., Mohan R. Dr.
Some Topics In Leavitt Path Algebras And Their Generalizations., Mohan R. Dr.
Doctoral Theses
The purpose of this section is to motivate the historical development of Leavitt algebras, Leavitt path algebras and their various generalizations and thus provide a context for this thesis. There are two historical threads which resulted in the definition of Leavitt path algebras. The first one is about the realization problem for von Neumann regular rings and the second one is about studying algebraic analogs of graph C ∗ -algebras. In what follows we briefly survey these threads and also introduce important concepts and terminology which will recur throughout.
Scaling Limits Of Some Random Interface Models., Biltu Dan Dr.
Scaling Limits Of Some Random Interface Models., Biltu Dan Dr.
Doctoral Theses
In this thesis, we study some probabilistic models of random interfaces. Interfaces between different phases have been topic of considerable interest in statistical physics. These interfaces are described by a family of random variables, indexed by the ddimensional integer lattice, which are considered as a height configuration, namely they indicate the height of the interface above a reference hyperplane. The models are defined in terms of an energy function (Hamiltonian), which defines a Gibbs measure on the set of height configurations. More formally, letÏ• = {Ï•x}x∈Z dbe a collection of real numbers indexed by the d-dimensional integer lattice Z d. …
On The Inertia Conjecture And Its Generalizations., Soumyadip Das Dr.
On The Inertia Conjecture And Its Generalizations., Soumyadip Das Dr.
Doctoral Theses
This thesis concerns problems related to the ramification behaviour of the branched Galois covers of smooth projective connected curves defined over an algebraically closed field of positive characteristic. Our first main problem is the Inertia Conjecture proposed by Abhyankar in 2001. We will show several new evidence for this conjecture. We also formulate a certain generalization of it which is our second problem, and we provide evidence for it. We give a brief overview of these problems in this introduction and reserve the details for Chapter 4.Let k be an algebraically closed field, and U be a smooth connected affine …
Commuting Isometries And Invariant Subspaces In Several Variables., Sankar T. R. Dr.
Commuting Isometries And Invariant Subspaces In Several Variables., Sankar T. R. Dr.
Doctoral Theses
A very general and fundamental problem in the theory of bounded linear operators on Hilbert spaces is to find invariants and representations of commuting families of isometries.In the case of single isometries this question has a complete and explicit answer: If V is an isometry on a Hilbert space â„‹, then there exists a Hilbert space Hu and a unitary operator U on â„‹u such that V on â„‹u and[ S ⊗ IW 0 0 U] ∈ B((l 2 (ℤ+) ⊗ W) ⊕ â„‹u),are unitarily equivalent, whereW = ker V∗ ,is the wandering subspace for V and S is the …
Essays On Collective Contests And Bargaining., Dhritiman Gupta Dr.
Essays On Collective Contests And Bargaining., Dhritiman Gupta Dr.
Doctoral Theses
This thesis consists of three theoretical essays in Microeconomics. The first two essays analyze the properties of a particular class of prize sharing rules groups may employ in a situation of a collective contest with another group, over a private good. The third essay studies a situation of multi-lateral bargaining, where a buyer wants to successfully bargain with multiple sellers, who own an input each, so that he can implement a grand project. The main focus of the thesis is to theorize about and generate hypotheses of the situations summarized above. In the first chapter, we consider a situation of …
Dealing With Classification Irregularities In Real-World Scenarios., Payel Sadhukhan Dr.
Dealing With Classification Irregularities In Real-World Scenarios., Payel Sadhukhan Dr.
Doctoral Theses
Data processing by the human sensory system comes naturally. This processing, commonly denoted as pattern recognition and analysis are carried out spontaneously by humans. In day to day life, in most cases, decision making by humans come without any conscious effort. From the middle of the past century, humans have shown interest to render their abstraction capabilities (pattern recognition and analysis) to the machine. The abstraction capability of the machine is ’machine intelligence’ or ’machine learning’ [87].The primary goal of machine learning methods is to extract some meaningful information from the ’data’. Data refers to the information or attributes that …
Essays In Behavioral Social Choice Theory., Sarvesh Bandhu Dr.
Essays In Behavioral Social Choice Theory., Sarvesh Bandhu Dr.
Doctoral Theses
This thesis comprises four essays on social choice theory. The first three essays/chapters consider models where voters follow “non-standard” rules for decision making. The last chapter considers the binary social choice model and analyzes the consequences of a new axiom. The first chapter introduces a new axiom for manipulability when voters incur a cost if they misreport their true preference ordering. The second chapter considers the random voting model with strategic voters where standard stochastic dominance strategy-proofness is replaced by strategy-proofness under two lexicographic criteria. The third chapter also considers the random voting model but from a non-strategic perspective. It …
Terrorism And Counter-Terrorism: A Game Theoretic Approach., Aditya Bhan Dr.
Terrorism And Counter-Terrorism: A Game Theoretic Approach., Aditya Bhan Dr.
Doctoral Theses
Microeconomic concepts are often applied to analyze the phenomenon of terrorism, and gametheoretic frameworks are commonly applied throughout the existing literature. This is unsurprising, since real-world scenarios involving strategic interactions are best formulated using game theory because such formulations not only provide deep insights into the web of incentives and disincentives within which each player operates and consequent predictive paradigms, but also enable the creation of policy architectures based on anticipation of players‟ actions and/or alteration of players‟ incentives/disincentives to encourage/discourage certain behavioural outcomes. This thesis also applies game-theoretic frameworks to analyze some issues within the domain of terrorism and …
Integrated Shift And Drift Control Of A Non-Linear Growth Process., Soham Chakraborty Dr.
Integrated Shift And Drift Control Of A Non-Linear Growth Process., Soham Chakraborty Dr.
Doctoral Theses
In the field of Quality Control (QC), the term 'control' is used to mean many different things. For example, it may refer to an isolated control action (e.g. a process adjustment), a particular type of control architecture (e.g. feedback vs. feed forward control) or even a control discipline (e.g. Deming's PDCA cycle). So will be the case here. But the exact meaning will be clear from the context.Since the development of control chart by Shewhart [1] and the method of acceptance sampling by Dodge and Romig [2] during 1920's - 1940's, the field of quality control has been greatly enriched …
Studies On Diagnostic Coverage And X-Sensitivity In Logic Circuits., Manjari Pradhan Dr.
Studies On Diagnostic Coverage And X-Sensitivity In Logic Circuits., Manjari Pradhan Dr.
Doctoral Theses
Today’s integrated circuits comprise billions of interconnected transistors assembled on a tiny silicon chip, and testing them to ensure functional and timing correctness continues to be a major challenge to designers and test engineers with further downscaling of transistors. Although substantial progress has been witnessed during the last five decades in the area of algorithmic test generation and fault diagnosis, applications of combinatorial and machinelearning (ML) techniques to solve these problems remain largely unexplored till date. In this thesis, we study three problems in the context of digital logic test and diagnosis. The first problem is that of fault diagnosis …
On Tests Of Independence Among Multiplerandom Vectors Of Arbitrary Dimensions., Angshuman Roy Dr.
On Tests Of Independence Among Multiplerandom Vectors Of Arbitrary Dimensions., Angshuman Roy Dr.
Doctoral Theses
Measures of dependence among several random vectors and associated tests of independence play a major role in different statistical applications. Blind source separation or independent component analysis (see, e.g., Hyv¨arinen et al., 2001; Shen et al., 2009), feature selection and feature extraction (see, e.g., Li et al., 2012), detection of serial correlation in time series (see, e.g., Ghoudi et al., 2001) and finding the causal relationships among the variables (see, e.g., Chakraborty and Zhang, 2019) are some examples of their wide-spread applications. Tests of independence has vast applications in other areas of sciences as well. For instance, to characterize the …
Quantum Symmetries In Noncommutative Geometry., Suvrajit Bhattacharjee Dr.
Quantum Symmetries In Noncommutative Geometry., Suvrajit Bhattacharjee Dr.
Doctoral Theses
No abstract provided.
Quantum Markov Maps: Structureand Asymptotics., Vijaya Kumar U. Dr.
Quantum Markov Maps: Structureand Asymptotics., Vijaya Kumar U. Dr.
Doctoral Theses
No abstract provided.
Essays In Social Choice Theory., Dipjyoti Majumdar Dr.
Essays In Social Choice Theory., Dipjyoti Majumdar Dr.
Doctoral Theses
The purpose of this thesis is to explore some issues in social choice theory and decision theory. Social choice theory provides the theoretical foundations for the field of public choice and welfare economics. It tries to bring together normative aspects like perspective value judgements and positive aspects, like strategic con- siderations. The second feature which is our focus, is closely related to the problem of providing appropriate incentives to agents, an issue of prime importance in eco- nomics.Consider for example, a set of agents who must elect one among a set of can- didates. These candidates may be physical agents …
Essays On Behavioral Industrial Organization And Welfare., Priyanka Kothari Dr.
Essays On Behavioral Industrial Organization And Welfare., Priyanka Kothari Dr.
Doctoral Theses
Many traits of economic agents are well studied and understood by psychologists that are yet to be captured by economic theory. This thesis, in the field of behavioral economics, is yet another attempt at unifying the different approaches of the two well-established disciplines - we ask what does economics predict of the behavior of economic agents ... once the psychology behind their decisions is accounted for. In a nutshell, this thesis is about the implications of choice-making among available alternatives.We begin with the idea that an economic agent only derives satisfaction from what he consumes without worrying at all (let …
In Silicoidentification Of Toxins And Their Effect Onhost Pathways: Feature Extraction, Classificationand Pathway Prediction., Rishika Sen Dr.
In Silicoidentification Of Toxins And Their Effect Onhost Pathways: Feature Extraction, Classificationand Pathway Prediction., Rishika Sen Dr.
Doctoral Theses
Identification of toxins, which are either proteins or small molecules, from pathogens is of paramount importance due to their crucial role as first-line invaders infiltrating a host, often leading to infection of the host. These toxins can affect specific proteins, like enzymes that catalyze metabolic pathways, affect metabolites that form the basis of metabolic reactions, and prevent the progression of those pathways, or more generally they may affect the regular functioning of other proteins in signaling pathways in the host. In this regard, the thesis addresses the problem of identification of toxins, and the effect of perturbations by toxins on …