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Risk Prediction of a Multiple Sclerosis DiagnosisMar 05 2013Multiple sclerosis (MS) is a chronic autoimmune disease that affects the central nervous system. The progression and severity of MS varies by individual, but it is generally a disabling disease. Although medications have been developed to slow the disease ... More

Explaining Deep Classification of Time-Series Data with Learned PrototypesApr 18 2019The emergence of deep learning networks raises a need for algorithms to explain their decisions so that users and domain experts can be confident using algorithmic recommendations for high-risk decisions. In this paper we leverage the information-rich ... More

PIVETed-Granite: Computational Phenotypes through Constrained Tensor FactorizationAug 08 2018It has been recently shown that sparse, nonnegative tensor factorization of multi-modal electronic health record data is a promising approach to high-throughput computational phenotyping. However, such approaches typically do not leverage available domain ... More

Perturbed Gibbs Samplers for Synthetic Data ReleaseDec 18 2013We propose a categorical data synthesizer with a quantifiable disclosure risk. Our algorithm, named Perturbed Gibbs Sampler, can handle high-dimensional categorical data that are often intractable to represent as contingency tables. The algorithm extends ... More

Scaling Data Association for Hypothesis-Oriented MHTMay 17 2019Multi-hypothesis tracking is a flexible and intuitive approach to tracking multiple nearby objects. However, the original formulation of its data association step is widely thought to scale poorly with the number of tracked objects. We propose enhancements ... More

On Single Source Robustness in Deep Fusion ModelsJun 11 2019Algorithms that fuse multiple input sources benefit from both complementary and shared information. Shared information may provide robustness to faulty or noisy inputs, which is indispensable for safety-critical applications like self-driving cars. We ... More

Constrained Bayesian Inference for Low Rank Multitask LearningSep 26 2013We present a novel approach for constrained Bayesian inference. Unlike current methods, our approach does not require convexity of the constraint set. We reduce the constrained variational inference to a parametric optimization over the feasible set of ... More

Relaxed Oracles for Semi-Supervised ClusteringNov 20 2017Pairwise "same-cluster" queries are one of the most widely used forms of supervision in semi-supervised clustering. However, it is impractical to ask human oracles to answer every query correctly. In this paper, we study the influence of allowing "not-sure" ... More

Semi-Supervised Active Clustering with Weak OraclesSep 11 2017Semi-supervised active clustering (SSAC) utilizes the knowledge of a domain expert to cluster data points by interactively making pairwise "same-cluster" queries. However, it is impractical to ask human oracles to answer every pairwise query. In this ... More

Linear and Order Statistics Combiners for Pattern ClassificationMay 20 1999Several researchers have experimentally shown that substantial improvements can be obtained in difficult pattern recognition problems by combining or integrating the outputs of multiple classifiers. This chapter provides an analytical framework to quantify ... More

Robust Combining of Disparate Classifiers through Order StatisticsMay 20 1999Integrating the outputs of multiple classifiers via combiners or meta-learners has led to substantial improvements in several difficult pattern recognition problems. In the typical setting investigated till now, each classifier is trained on data taken ... More

Monotone Retargeting for Unsupervised Rank Aggregation with Object FeaturesMay 14 2016Learning the true ordering between objects by aggregating a set of expert opinion rank order lists is an important and ubiquitous problem in many applications ranging from social choice theory to natural language processing and search aggregation. We ... More

Phenotyping using Structured Collective Matrix Factorization of Multi--source EHR DataSep 14 2016The increased availability of electronic health records (EHRs) have spearheaded the initiative for precision medicine using data driven approaches. Essential to this effort is the ability to identify patients with certain medical conditions of interest ... More

Discovery of giant `radio arcs' in cluster Abell 3376: evidence for shock acceleration in a violent cluster merger?Oct 24 2002New multi-wavelength (radio, optical & X-rays) observational evidences are presented which show that the nearby (z=0.046), rich cluster of galaxies Abell 3376 is experiencing a major event of binary subcluster merger. The key evidence is the discovery ... More

An automatic and efficient foreground object extraction schemeJun 29 2015This paper presents a method to differentiate the foreground objects from the background of a color image. Firstly a color image of any size is input for processing. The algorithm converts it to a grayscale image. Next we apply canny edge detector to ... More

Unified View of Matrix Completion under General Structural ConstraintsMar 29 2016In this paper, we present a unified analysis of matrix completion under general low-dimensional structural constraints induced by {\em any} norm regularization. We consider two estimators for the general problem of structured matrix completion, and provide ... More

The trace norm constrained matrix-variate Gaussian process for multitask bipartite rankingFeb 11 2013We propose a novel hierarchical model for multitask bipartite ranking. The proposed approach combines a matrix-variate Gaussian process with a generative model for task-wise bipartite ranking. In addition, we employ a novel trace constrained variational ... More

Exponential Family Matrix Completion under Structural ConstraintsSep 15 2015We consider the matrix completion problem of recovering a structured matrix from noisy and partial measurements. Recent works have proposed tractable estimators with strong statistical guarantees for the case where the underlying matrix is low--rank, ... More

ACDC: $α$-Carving Decision Chain for Risk StratificationJun 16 2016In many healthcare settings, intuitive decision rules for risk stratification can help effective hospital resource allocation. This paper introduces a novel variant of decision tree algorithms that produces a chain of decisions, not a general tree. Our ... More

On the Possibility of a Relativistic Anyon BeamFeb 04 2019In this paper we propose the construction of a relativistic anyon beam. Following Jackiw and Nair~\cite{jn} we derive explicit form of relativistic plane wave solution of a single anyon. Subsequently we construct the planar anyon beam by superposing these ... More

A Privacy-Aware Bayesian Approach for Combining Classifier and Cluster EnsemblesApr 20 2012This paper introduces a privacy-aware Bayesian approach that combines ensembles of classifiers and clusterers to perform semi-supervised and transductive learning. We consider scenarios where instances and their classification/clustering results are distributed ... More

Lower Limits on $μ\to e γ$ from new Measurements on $U_{e3}$Apr 04 2012Oct 19 2012New data on the lepton mixing angle $\theta_{13}$ imply that the $e\mu$ element of the matrix $m_\nu m_\nu^\dagger$, where $m_\nu$ is the neutrino Majorana mass matrix, cannot vanish. This implies a lower limit on lepton flavor violating processes in ... More

Graphical RNN ModelsDec 15 2016Many time series are generated by a set of entities that interact with one another over time. This paper introduces a broad, flexible framework to learn from multiple inter-dependent time series generated by such entities. Our framework explicitly models ... More

Learning to Rank With Bregman Divergences and Monotone RetargetingOct 16 2012This paper introduces a novel approach for learning to rank (LETOR) based on the notion of monotone retargeting. It involves minimizing a divergence between all monotonic increasing transformations of the training scores and a parameterized prediction ... More

Preference Completion from Partial RankingsNov 14 2016We propose a novel and efficient algorithm for the collaborative preference completion problem, which involves jointly estimating individualized rankings for a set of entities over a shared set of items, based on a limited number of observed affinity ... More

Generalized Linear Models for Aggregated DataMay 14 2016Databases in domains such as healthcare are routinely released to the public in aggregated form. Unfortunately, naive modeling with aggregated data may significantly diminish the accuracy of inferences at the individual level. This paper addresses the ... More

Nonparametric Bayesian Factor Analysis for Dynamic Count MatricesDec 30 2015A gamma process dynamic Poisson factor analysis model is proposed to factorize a dynamic count matrix, whose columns are sequentially observed count vectors. The model builds a novel Markov chain that sends the latent gamma random variables at time $(t-1)$ ... More

CERTIFAI: Counterfactual Explanations for Robustness, Transparency, Interpretability, and Fairness of Artificial Intelligence modelsMay 20 2019As artificial intelligence plays an increasingly important role in our society, there are ethical and moral obligations for both businesses and researchers to ensure that their machine learning models are designed, deployed, and maintained responsibly. ... More

A Constrained Matrix-Variate Gaussian Process for Transposable DataApr 27 2014Transposable data represents interactions among two sets of entities, and are typically represented as a matrix containing the known interaction values. Additional side information may consist of feature vectors specific to entities corresponding to the ... More

Unified View of Matrix Completion under General Structural ConstraintsMar 29 2016Nov 21 2018In this paper, we present a unified analysis of matrix completion under general low-dimensional structural constraints induced by {\em any} norm regularization. We consider two estimators for the general problem of structured matrix completion, and provide ... More

Quantum dot from chiral metallic single walled nanotubesAug 05 2010We propose a simple approach to construct a quantum-dot and it's electrodes using chiral metallic single walled carbon nanotube (CM-SWCNT) segments of exactly opposite chiralities $(m,n)$ and $(n,m)$. The degree and energetics of electron confinement ... More

DPM: A State Space Model for Large-Scale Direct MarketingJul 04 2015We propose a novel statistical model to answer three challenges in direct marketing: which channel to use, which offer to make, and when to offer. There are several potential applications for the proposed model, for example, developing personalized marketing ... More

Fractal String Generation and Its Application in Music CompositionSep 27 2011Music is a string of some of the notes out of 12 notes (Sa, Komal_re, Re, Komal_ga, Ga, Ma, Kari_ma, Pa, Komal_dha, Dha, Komal_ni, Ni) and their harmonics. Each note corresponds to a particular frequency. When such strings are encoded to form discrete ... More

Ensembles of Radial Basis Function Networks for Spectroscopic Detection of Cervical Pre-CancerMay 20 1999The mortality related to cervical cancer can be substantially reduced through early detection and treatment. However, current detection techniques, such as Pap smear and colposcopy, fail to achieve a concurrently high sensitivity and specificity. In vivo ... More

EPIC: Efficient prediction of IC manufacturing hotspots with a unified meta-classification formulationFeb 12 2014In this paper we present EPIC, an efficient and effective predictor for IC manufacturing hotspots in deep sub-wavelength lithography. EPIC proposes a unified framework to combine different hotspot detection methods together, such as machine learning and ... More

Information Projection and Approximate Inference for Structured Sparse VariablesJul 12 2016Approximate inference via information projection has been recently introduced as a general-purpose approach for efficient probabilistic inference given sparse variables. This manuscript goes beyond classical sparsity by proposing efficient algorithms ... More

Boosting Variational Inference: an Optimization PerspectiveAug 05 2017Mar 07 2018Variational inference is a popular technique to approximate a possibly intractable Bayesian posterior with a more tractable one. Recently, boosting variational inference has been proposed as a new paradigm to approximate the posterior by a mixture of ... More

Reconciling $(g-2)_μ$ and charged lepton flavour violating processes through a doubly charged scalarDec 11 2015Jun 05 2016In this work, we investigate the phenomenological consequences of a doubly charged scalar which may belong to different uncoloured scalar multiplets. This doubly charged scalar couples to the charged leptons as well as gauge bosons, which we parametrize ... More

An Optimization Framework for Semi-Supervised and Transfer Learning using Multiple Classifiers and ClusterersApr 20 2012Unsupervised models can provide supplementary soft constraints to help classify new, "target" data since similar instances in the target set are more likely to share the same class label. Such models can also help detect possible differences between training ... More

xGEMs: Generating Examplars to Explain Black-Box ModelsJun 22 2018This work proposes xGEMs or manifold guided exemplars, a framework to understand black-box classifier behavior by exploring the landscape of the underlying data manifold as data points cross decision boundaries. To do so, we train an unsupervised implicit ... More

Identifiable Phenotyping using Constrained Non-Negative Matrix FactorizationAug 02 2016Sep 20 2016This work proposes a new algorithm for automated and simultaneous phenotyping of multiple co-occurring medical conditions, also referred as comorbidities, using clinical notes from the electronic health records (EHRs). A basic latent factor estimation ... More

Dating Texts without Explicit Temporal CuesNov 10 2012This paper tackles temporal resolution of documents, such as determining when a document is about or when it was written, based only on its text. We apply techniques from information retrieval that predict dates via language models over a discretized ... More

Interpreting Black Box Predictions using Fisher KernelsOct 23 2018Research in both machine learning and psychology suggests that salient examples can help humans to interpret learning models. To this end, we take a novel look at black box interpretation of test predictions in terms of training examples. Our goal is ... More

Di-photon resonance around 750 GeV: shedding light on the theory underneathDec 17 2015Jun 05 2016Both the ATLAS and CMS collaborations have recently observed an excess in the di-photon invariant mass distribution in the vicinity of 750 GeV with a local significance of $\sim3\sigma$. In this article we try to investigate this excess in the context ... More

Effect of Inhomogeneous magnetic field on Plasma generation in a low magnetic field helicon dischargeJan 10 2019The ionization efficiency of helicon plasma discharge is explored by changing the low axial magnetic field gradients near the helicon antenna. The highest plasma density is found for a most possible diverging field near the antenna by keeping the other ... More

Lagrange Multipliers, (Exact) Regularization and Error Bounds for Monotone Variational InequalitiesOct 14 2014Nov 02 2015We examine two central regularization strategies for monotone variational inequalities, the first a direct regularization of the operative monotone mapping, and the second via regularization of the associated dual gap function. A key link in the relationship ... More

Nonlinear multivariate analysis of Neurophysiological SignalsOct 31 2005Multivariate time series analysis is extensively used in neurophysiology with the aim of studying the relationship between simultaneously recorded signals. Recently, advances on information theory and nonlinear dynamical systems theory have allowed the ... More

Model independent extraction of the proton magnetic radius from electron scatteringJul 21 2014Oct 28 2014We combine constraints from analyticity with experimental electron-proton scattering data to determine the proton magnetic radius without model-dependent assumptions on the shape of the form factor. We also study the impact of including electron-neutron ... More

Probabilistic Combination of Classifier and Cluster Ensembles for Non-transductive LearningNov 10 2012Unsupervised models can provide supplementary soft constraints to help classify new target data under the assumption that similar objects in the target set are more likely to share the same class label. Such models can also help detect possible differences ... More

Effect of Tensile Strain in GaN Layer on the Band Offsets and 2DEG Density in AlGaN/GaN HeterostructuresDec 09 2017Nov 27 2018We have addressed the existing ambiguity regarding the effect of process-induced strain in the underlying GaN layer on AlGaN/GaN heterostructure properties. The bandgaps and offsets for AlGaN on strained GaN are first computed using a cubic interpolation ... More

Systematic understanding of half-metallicity of ternary compounds in Heusler and Inverse Heusler structures with 3$d$ and 4$d$ elementsDec 07 2018Employing {\it ab initio} electronic structure calculations we extensively study ternary Heusler compounds having the chemical formula X$_2$X$^\prime$Z, where X = Mn, Fe or Co; Z = Al or Si; and X$^\prime$ changes along the row of 4$d$ transition metals. ... More

A strong law for the rate of growth of long latency periods in cloud computing serviceOct 15 2010Cloud-computing shares a common pool of resources across customers at a scale that is orders of magnitude larger than traditional multi-user systems. Constituent physical compute servers are allocated multiple "virtual machines" (VM) to serve simultaneously. ... More

Helical Nanomachines for Fast Mechanical Mapping of Heterogeneous EnvironmentsAug 07 2016Artificial micro and nano machines have been envisioned and demonstrated as potential candidates for variety of applications, ranging from targeted drug or gene delivery, cell manipulation, environmental sensing and many more. Here, we demonstrate the ... More

Half-metallicity in quaternary Heusler alloys with 3$d$ and 4$d$ elements: observations and insights from DFT calculationsDec 11 2018In this work, we provide important insights into the evolution of half-metallicity in quaternary Heusler alloys. Employing {\it ab initio} electronic structure methods we study 18 quaternary Heusler compounds having the chemical formula CoX$^\prime$Y$^\prime$Al, ... More

A giant radio jet of very unusual polarization in a single-lobed radio galaxyAug 08 2009We report the discovery of a very unusual, predominantly one-sided radio galaxy CGCG049-033. Its radio jet, the largest detected so far, emits strongly polarized synchrotron radiation and can be traced all the way from the galactic nucleus to the hot ... More

Imposing LHC constraints on the combined Anomaly and $Z^\prime$ Mediation Mechanism of Supersymmetry BreakingNov 15 2016Combining anomaly with $Z^\prime$ mediation allows us to solve the tachyonic problem of the former and avoid fine tuning in the latter. This model includes an extra $U(1)^\prime$ gauge symmetry and extra singlet scalar $S$ which provides a solution to ... More

A study of X-ray emission of galaxies hosting molecular outflows (MOX sample)Sep 21 2018We have carried out an extensive X-ray spectral analysis of a sample of galaxies exhibiting molecular outflows (MOX sample), to characterize the X-ray properties and investigate the effect of AGN on the dynamical properties of the molecular outflows. ... More

Probing leptoquark chirality via top polarization at the CollidersNov 29 2018Jan 12 2019Anomalies in recent LHCb, Belle and Babar measurements of $R_{D^{(*)}}$, and $R_{K^{(*)}}$ in $B$ decays may indicate the new physics beyond the Standard Model (SM). The leptoquarks ($LQ$) that couple to the $3^{\mathrm{rd}}$ generation quarks and leptons ... More

Type I and $new$ seesaw in left-right symmetric theoriesMay 09 2010May 31 2010We extend the Type I seesaw and suggest a $new$ seesaw mechanism to generate neutrino masses within the left-right symmetric theories where parity is spontaneously broken. We construct a next to minimal left-right symmetric model where neutrino masses ... More

TeV scale double seesaw in left-right symmetric theoriesMar 16 2010We extend the Type I and Type III seesaw mechanisms to generate neutrino masses within the left-right symmetric theories where parity is spontaneously broken. We construct a next to minimal left-right symmetric model where neutrino masses are generated ... More

A 2.5-dimensional viscous, resistive, advective magnetized accretion-outflow coupling in black hole systems: A higher order polynomial approximation. INov 08 2016The correlated and coupled dynamics of accretion and outflow around black holes (BHs) are essentially governed by the fundamental laws of conservation as outflow extracts matter, momentum and energy from the accretion region. Here we analyzed a robust ... More

Note on Kerr/CFT correspondence in a first order formalismApr 21 2014Jun 25 2014In symmetry based approaches to black hole entropy, we calculate the central charge of the Virasoro algebra in the first order formulation of gravity for both Palatini and Holst actions. In these calculations, we made use of the NHEK metric and the Kerr-CFT ... More

Influence Function Analysis of the Restricted Minimum Divergence Estimators : A General FormMar 25 2014The minimum divergence estimators have proved to be useful tools in the area of robust inference. The robustness of such estimators are measured using the classical Influence functions. However, in many complex situations like testing a composite hypothesis ... More

Comparative study of Financial Time Series Prediction by Artificial Neural Network with Gradient Descent LearningNov 21 2011Jan 31 2012Financial forecasting is an example of a signal processing problem which is challenging due to Small sample sizes, high noise, non-stationarity, and non-linearity,but fast forecasting of stock market price is very important for strategic business planning.Present ... More

Electroweak phase transition and some related phenomena- a brief reviewJun 24 2015Sep 10 2015In this article, we review Electroweak Phase transition and some related phenomena.

On Gauge Invariance and Covariant Derivatives in Metric SpacesFeb 07 2017Feb 04 2019In this manuscript, we will discuss the construction of covariant derivative operator in quantum gravity. We will find it is appropriate to use affine connections more general than metric compatible connections in quantum gravity. We will demonstrate ... More

Entropy of A Scalar Field In (3 + 1)-dimensional Taub-NUT Space-TimeAug 19 2002Nov 19 2006In this article we discuss a few aspects of the space-time description of fields and particles. In sectionn II and III we demonstrate that fields are as fundamental as particles. In section IV we discuss non-equivalence of the Schwarzschild coordinates ... More

Analytical benchmark for non-equilibrium radiation diffusion in finite size systemsAug 31 2012Jan 16 2013Non-equilibrium radiation diffusion is an important mechanism of energy transport in Inertial Confinement Fusion, astrophysical plasmas, furnaces and heat exchangers. In this paper, an analytical solution to the non-equilibrium Marshak diffusion problem ... More

Optimal Guessing under Nonextensive Framework and associated Moment BoundsMay 19 2019We consider the problem of guessing the realization of a random variable but under more general Tsallis' non-extensive entropic framework rather than the classical Maxwell-Boltzman-Gibbs-Shannon framework. We consider both the conditional guessing problem ... More

Duality Between Dirac Fermions in Curved Spacetime and Optical solitons in Non-Linear Schrodinger Model: Magic of $1+1$-Dimensional BosonizationMar 08 2019Bosonization in curved spacetime maps massive Thirring model (self-interacting Dirac fermions) to a generalized sine-Gordon model, both living in $1+1$-dimensional curved spacetime. Applying this duality we have shown that the Thirring model fermion, ... More

Dynamical Imprint of Dark Matter Halo and Interstellar Gas on Spiral Structure in Disk GalaxiesJul 02 2018This thesis investigates the dynamical effect of two structural components of disk galaxies, namely, the dark matter halo and the interstellar gas on the origin and persistence issue of spiral structure in disk galaxies through theoretical modeling and ... More

An Asymptotic Formula for Chebyshev Theta FunctionFeb 25 2019Let $\{p_n\}_{n\ge 1}$ be the sequence of primes and $\vartheta(x) = \sum_{p \leq x} \log p$, where $p$ runs over primes not exceeding $x$, be the Chebyshev $\vartheta$-function. In this note we derive lower and upper bounds for $\vartheta(p_n)/n$ in ... More

Towards a New Interpretation of Separable ConvolutionsJan 16 2017In recent times, the use of separable convolutions in deep convolutional neural network architectures has been explored. Several researchers, most notably (Chollet, 2016) and (Ghosh, 2017) have used separable convolutions in their deep architectures and ... More

QuickNet: Maximizing Efficiency and Efficacy in Deep ArchitecturesJan 09 2017Jan 12 2017We present QuickNet, a fast and accurate network architecture that is both faster and significantly more accurate than other fast deep architectures like SqueezeNet. Furthermore, it uses less parameters than previous networks, making it more memory efficient. ... More

Why T2K should run in dominant neutrino mode to discover CP violation ?Feb 25 2017The first hint of the leptonic CP phase $\delta_{CP}=-90^\circ$ has already came from the long-baseline neutrino oscillation experiment T2K. This hint is derived from the neutrino data of T2K and currently it is running in the antineutrino mode. In this ... More

Present Aspects and Future Prospects of Neutrino Mass and OscillationMar 15 2016Neutrinos are neutral, spin-$\frac{1}{2}$ particles which undergo only weak interactions. The experimentally observed phenomenon of neutrino oscillation establishes the fact that neutrinos are massive and there is mixing between different neutrino flavours. ... More

Bicomplex Mobius TransformationJun 22 2017In this article the bicomplex version of Mobius transformation is defined and special attention is paid to find the fixed points of a bicomplex Mobius transformation.

$L^p$ bounds for a central limit theorem with involutionsMay 08 2009Nov 28 2010Let $E=((e_{ij}))_{n\times n}$ be a fixed array of real numbers such that $e_{ij}=e_{ji}, e_{ii}=0$ for $1\le i,j \le n$. Let the permutation group be denoted by $S_n$ and the collection of involutions with no fixed points by $\Pi_n$, that is, $\Pi_n=\{\pi\in ... More

Existence of special primary decompositions in multigraded modulesSep 19 2014Let $R=\bigoplus_{\underline{n} \in \mathbb{N}^t}R_{\underline{n}}$ be a commutative Noetherian $\mathbb{N}^t$-graded ring, and $L = \bigoplus_{\underline{n}\in\mathbb{N}^t}L_{\underline{n}}$ be a finitely generated $\mathbb{N}^t$-graded $R$-module. We ... More

Relative hyperbolicity of free-by-cyclic extensionsFeb 22 2018May 16 2018Given a finite rank free group $\mathbb{F}$ of $\mathsf{rank}(\mathbb{F})\geq 3$, we show that the mapping torus of $\phi$ is (strongly) relatively hyperbolic if $\phi$ is exponentially growing. We combine our result with the work of Button-Kropholler ... More

The Dirichlet series that generates the Möbius function is the inverse of the Riemann zeta function in the right half of the critical stripSep 03 2010Jan 18 2015In this paper I introduce a criterion for the Riemann hypothesis, and then using that I prove $\sum_{k=1}^\infty \mu(k)/k^s$ converges for $\Re(s) > \frac{1}{2}$. I use a step function $\nu(x) = 2\{x/2\} - \{x\}$ for the Dirichlet eta function ($\{x\}$ ... More

On integrals of fractional parts and the theory of prime differencesFeb 11 2010Nov 03 2013In this paper we study the integrals of fractional parts of given functions, and develop some new tools to understand the behaviour of prime differences. We demonstrate how simply some seemingly difficult conjectures related to prime differences can be ... More

A new criterion of the Riemann hypothesisDec 23 2009Jul 26 2011We introduce a new criterion which if satisfied implies the Riemann hypothesis.

New lower bounds for the size of a non-trivial loop in the Collatz 3x+1 and generalized px+q problemJul 17 2009Aug 09 2009In the Collatz 3x+1 problem, there are 3 possibilities: Starting from any positive number, we either reach the trivial loop (1,4,2), end up in a non-trivial loop, or go until infinity. In this paper, we shall show that if a non-trivial loop with m odd ... More

Spin dynamics of a one-dimensional spin-1/2 fully anisotropic Ising-like antiferromagnet in a transverse magnetic fieldSep 20 2001We consider the one-dimensional Ising-like fully anisotropic S=1/2 Heisenberg antiferromagnetic Hamiltonian and study the dynamics of domain wall excitations in the presence of transverse magnetic field $h_x$. We obtain dynamical spin correlation functions ... More

Electrical conductivity of hadronic matter from different possible mesonic and baryonic thermal fluctuationsJul 05 2016Electromagnetic current-current correlators in pionic and nucleonic medium have been evaluated in the static limit to obtain electrical conductivities for pion and nucleon components respectively, where former decreases and latter one increases with the ... More

Complex order parameter symmetry and thermal conductivityJul 28 1998Thermal behaviour of superconductors with complex order parameter symmetry is studied within a weak coupling theory. It is shown numerically, that the thermal nature of the different components of complex order parametrs are qualitatively different. Within ... More

Renormalized stress tensor of a quantized massless scalar field in warped cosmological braneworld backgroundMar 15 2019Energy momentum tensor of a conformally coupled quantum scalar field in five dimensional warped cosmological spacetimes is studied. We look at situations where the four dimensional part represents a cosmological thick brane and the scale of the extra ... More

On Gauge Invariance and Covariant Derivatives in Metric SpacesFeb 07 2017Mar 06 2019In this manuscript, we will discuss the construction of covariant derivative operator in quantum gravity. We will find it is more perceptive to use affine connections more general than metric compatible connections in quantum gravity. We will demonstrate ... More

A Few Comments on Classical ElectrodynamicsMay 08 2006Mar 25 2017In this article we will discuss a few aspects of the spacetime description of fields and particles. In Section:I we will demonstrate that a line is not just a collection of points and we will have to introduce one-dimensional line intervals as fundamental ... More

Studies on Some Aspects of the Fundamental Theory of EverythingMar 01 2005Nov 04 2015What happens to the entropy increase principle as the Universe evolve to form the big-crunch singularity? What happens to the uncertainity relations along the process of gravitational collapses? What is the quantum mechanical description of a Radon atom ... More

Statistical Inference of Kumaraswamy distribution under imprecise informationNov 01 2017Traditional statistical approaches for estimating the parameters of the Kumaraswamy distribution have dealt with precise information. However, in real world situations, some information about an underlying experimental process might be imprecise and might ... More

Robust estimation in finite population samplingMay 15 2008The paper proposes some robust estimators of the finite population mean. Such estimators are particularly suitable in the presence of some outlying observations. Included as special cases of our general result are robust versions of the ratio estimator ... More

Relaxed covariate overlap and margin-based causal effect estimationJan 02 2018Jul 03 2018In most nonrandomized observational studies, differences between treatment groups may arise not only due to the treatment but also because of the effect of confounders. Therefore, causal inference regarding the treatment effect is not as straightforward ... More

Explaining the $R_K$ and $R_{K^*}$ anomaliesApr 20 2017Oct 03 2017Recent LHCb results on $R_{K^*}$, the ratio of the branching fractions of $B \to K^* \mu^+ \mu^-$ to that of $B \to K^* e^+ e^-$, for the dilepton invariant mass bins $q^2 \equiv m_{\ell\ell}^2 = [0.045 - 1.1]$ GeV$^2$ and $[1.1 - 6]$ GeV$^2$ show approximately ... More

A solution to Ahmed's Integral(II)Dec 04 2014Dec 22 2014In the year 2000, Ahmed proposed a family of integrals in the American Mathematical Monthly which invoked a considerable response then. Here I would like to present another solution to this family of integrals. I propose to call this as Ahmed's Integral ... More

Boosted di-boson from a mixed heavy stopAug 01 2013Nov 25 2013The lighter mass eigenstate ($\widetilde{t}_1$) of the two top squarks, the scalar superpartners of the top quark, is extremely difficult to discover if it is almost degenerate with the lightest neutralino ($\widetilde{\chi}_1^0$), the lightest and stable ... More

Negacyclic codes of odd length over the ring $\mathbb{F}_p[u,v]/\langle u^2,v^2,uv-vu\rangle$Jan 29 2015We discuss the structure of negacyclic codes of odd length over the ring $\mathbb{F}_p[u, v]/ \langle u^2, v^2, uv-vu \rangle$. We find the unique generating set, the rank and the minimum distance for these negacyclic codes.

Some criteria for regular and Gorenstein local rings via syzygy modulesNov 10 2016Apr 29 2018Let $ R $ be a Cohen-Macaulay local ring. We prove that the $ n $th syzygy module of a maximal Cohen-Macaulay $ R $-module cannot have a semidualizing (e.g., $ R $ itself) direct summand for every $ n \geqslant 1 $. In particular, it follows that $ R ... More

Divergence based Robust Estimation of the Tail Index through An Exponential Regression ModelMay 05 2014Jul 01 2016The extreme value theory is very popular in applied sciences including Finance, economics, hydrology and many other disciplines. In univariate extreme value theory, we model the data by a suitable distribution from the general max-domain of attraction ... More