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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

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

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

Measurement-wise Occlusion in Multi-object TrackingMay 21 2018Handling object interaction is a fundamental challenge in practical multi-object tracking, even for simple interactive effects such as one object temporarily occluding another. We formalize the problem of occlusion in tracking with two different abstractions. ... 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

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

Learning More From Less: Towards Strengthening Weak Supervision for Ad-Hoc RetrievalJul 19 2019The limited availability of ground truth relevance labels has been a major impediment to the application of supervised methods to ad-hoc retrieval. As a result, unsupervised scoring methods, such as BM25, remain strong competitors to deep learning techniques ... 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

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

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

Vehicular Multi-object Tracking with Persistent Detector FailuresJul 25 2019Autonomous vehicles often perceive the environment by feeding sensor data to a learned detector algorithm, then feeding detections to a multi-object tracker that models object motions over time. Probabilistic models of multi-object trackers typically ... 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

Nonparametric Bayesian Sparse Graph Linear Dynamical SystemsFeb 21 2018A nonparametric Bayesian sparse graph linear dynamical system (SGLDS) is proposed to model sequentially observed multivariate data. SGLDS uses the Bernoulli-Poisson link together with a gamma process to generate an infinite dimensional sparse random graph ... 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

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

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

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

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

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

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

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

Optimal Alarms for Vehicular Collision DetectionAug 16 2017An important application of intelligent vehicles is advance detection of dangerous events such as collisions. This problem is framed as a problem of optimal alarm choice given predictive models for vehicle location and motion. Techniques for real-time ... 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

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

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

Gaugino mass non-universality in an SO(10) supersymmetric Grand Unified Theory: low-energy spectra and collider signalsMar 24 2009Jan 25 2010We derive the non-universal gaugino mass ratios in a supergravity (SUGRA) framework where the Higgs superfields belong to the non-singlet representations {\bf 54} and {\bf 770} in a SO(10) Grand Unified Theory (GUT). We evaluate the ratios for the phenomenologically ... 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

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

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

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

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

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

Explaining Deep Classification of Time-Series Data with Learned PrototypesApr 18 2019Sep 05 2019The emergence of deep learning networks raises a need for explainable AI so that users and domain experts can be confident applying them to high-risk decisions. In this paper, we leverage data from the latent space induced by deep learning models to learn ... 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

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

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

Explaining Deep Classification of Time-Series Data with Learned PrototypesApr 18 2019Aug 01 2019The emergence of deep learning networks raises a need for explainable AI so that users and domain experts can be confident applying them to high-risk decisions. In this paper, we leverage data from the latent space induced by deep learning models to learn ... 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

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

Towards Realistic Individual Recourse and Actionable Explanations in Black-Box Decision Making SystemsJul 22 2019Machine learning based decision making systems are increasingly affecting humans. An individual can suffer an undesirable outcome under such decision making systems (e.g. denied credit) irrespective of whether the decision is fair or accurate. Individual ... 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

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

Analysis of d-Hop Dominating Set Problem for Directed Graph with Indegree Bounded by OneApr 28 2014d-hop dominating set problem was introduced for cluster formation in wireless ad-hoc networks and is proved to be NP-complete. Dominating set problem for directed graph with indegree of at most 1 can be solved polynomially. In this article we perform ... 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

Convolution based hybrid image processing technique for microscopic images of etch-pits in Nuclear Track DetectorsAug 26 2019A novel image processing technique based on convolution is developed for analyzing the etch-pit images in Nuclear Track Detectors (NTDs). Promising results have been obtained for both identifying and counting the etch-pits in the NTDs. Such method establishes ... 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

Scalable Greedy Feature Selection via Weak SubmodularityMar 08 2017Greedy algorithms are widely used for problems in machine learning such as feature selection and set function optimization. Unfortunately, for large datasets, the running time of even greedy algorithms can be quite high. This is because for each greedy ... 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 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

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 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

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

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

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

Calculating $β$-function coefficients of Renormalization Group EquationsJul 24 2019Renormalization Group Equations (RGEs) are indispensable tool to know the behavior of physical parameters at different energy scales. They are also extremely crucial if we want to extend our known Standard Model gauge group by some extra gauge groups ... 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

From design to tape-out in SCL 180nm CMOS integrated circuit fabrication technologyAug 24 2019Although India has achieved considerable capability in electronic chip design, but developing the infrastructure for capital-intensive semiconductor fabrication remains a challenge. The rising domestic and global demand for electronics products, the need ... 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

Activation of Graphenic Carbon due to Substitutional Doping by Nitrogen: Mechanistic Understanding from First-principlesApr 16 2015Nitrogen doped graphene and carbon nanotubes are popularly in focus as metal-free electro-catalysts for oxygen reduction reactions (ORR) central to fuel-cells. N doped CNTs have been also reported to chemisorb mutually, promising a route to their robust ... 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

Effectiveness of One-dimensional gas models for black holesJan 12 1998Jan 22 1998A one-dimensional gas model has been constructed and shown to provide correct expressions for entropies for extremal and near-extremal BTZ black holes. Recently suggested boosting of black strings is used to compute the entropy for the Schwarzschild black ... More

Econophysics Research in India in the last two DecadesJul 29 2013Aug 26 2013We discuss here researches on econophysics done from India in the last two decades. The term `econophysics' was formally coined in India (Kolkata) in 1995. Since then many research papers, books, reviews, etc. have been written by scientists. Many institutions ... More

QED_2 in Curved BackgroundsApr 10 1996Apr 12 1996Here we discuss the two dimensional quantum electrodynamics in curved space-time, especially in the background of some black holes. We first show the existence of some new quantum mechanical solution which has interesting properties. Then for some special ... More

Some criteria for regular and Gorenstein local rings via syzygy modulesNov 10 2016Let $ 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

A Few Comments on Classical ElectrodynamicsMay 08 2006Nov 04 2015In this article we will discuss a few aspects of the space-time 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

Probing new physics in rare decays of b-flavored Hadrons $b\to s γ$ in CMSSM/mSUGRA SUSY SO (10) theoriesApr 29 2019The implications of the latest measurement of the branching fraction of B($ b\rightarrow s \gamma $) of b hadrons, which is another signature of New Physics beyond Standard Model is presented here. The quark transitions $ b \rightarrow s $, $ b \rightarrow ... More

Entropy of Scalar Field in 3+1 Dimensional Reissner-Nordstrom de Sitter Black Hole BackgroundDec 13 2002Mar 12 2004We consider the thermodynamics of minimally coupled massive scalar field in 3+1 dimensional constant curvature black hole background. The brick wall model of 't Hooft is used. When Schwarzschild like coordinates are used it is found that two radial brick ... More

Comments on Space-TimeApr 19 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

Probing new physics in rare decays of b-flavored Hadrons $b\to s γ$ in CMSSM/mSUGRA SUSY SO (10) theoriesApr 29 2019May 08 2019The implications of the latest measurement of the branching fraction of B($ b\rightarrow s \gamma $) of b hadrons, which is another signature of New Physics beyond Standard Model is presented here. The quark transitions $ b \rightarrow s $, $ b \rightarrow ... More

Geometric Phases for Classical and Quantum Dynamics: Hannay angle and Berry Phase for Loops on a TorusMay 09 2019In this paper we have considered closed trajectories of a particle on a two-torus where the loops are noncontractible (poloidal and toroidal loops and knots embedded on a regular torus). We have calculated Hannay angle and Berry phase for particle traversing ... More

Avatars of Margulis invariants and proper actionsDec 10 2018In this article, we interpret affine Anosov representations of any word hyperbolic group in $\mathsf{SO}_0(n-1,n)\ltimes\mathbb{R}^{2n-1}$ as infinitesimal versions of representations of word hyperbolic groups in $\mathsf{SO}_0(n,n)$ which are both Anosov ... More

Noncommutative X-Y model and Kosterlitz Thouless transitionMay 05 2001Matrix models have been shown to be equivalent to noncommutative field theories. In this work we study noncommutative X-Y model and try to understand Kosterlitz Thouless transition in it by analysing the equivalent matrix model. We consider the cases ... More

Should T2K run in dominant neutrino mode to detect CP violation ?Nov 01 2016The main aim of the T2K experiment in Japan is to discover CP violation in the leptonic sector by measuring the Dirac phase $\delta_{CP}$. For that purpose T2K has already started collecting data in both neutrino and antineutrino mode. But in this work ... More

Objective Priors: An Introduction for FrequentistsAug 10 2011Bayesian methods are increasingly applied in these days in the theory and practice of statistics. Any Bayesian inference depends on a likelihood and a prior. Ideally one would like to elicit a prior from related sources of information or past data. However, ... More

RejoinderAug 17 2011Rejoinder of ``Objective Priors: An Introduction for Frequentists'' by M. Ghosh [arXiv:1108.2120]

Total variation cutoff for the flip-transpose top with random shuffleJun 27 2019We consider a random walk on the hyperoctahedral group $B_n$ generated by the signed permutations of the forms $(i,n)$ and $(-i,n)$ for $1\leq i\leq n$. We call this the flip-transpose top with random shuffle on $B_n$. We find the spectrum of the transition ... More

Asymptotic linear bounds of Castelnuovo-Mumford regularity in multigraded modulesMay 23 2014Sep 23 2015Let $A$ be a Noetherian standard $\mathbb{N}$-graded algebra over an Artinian local ring $A_0$. Let $I_1,\ldots,I_t$ be homogeneous ideals of $A$ and $M$ a finitely generated $\mathbb{N}$-graded $A$-module. We prove that there exist two integers $k$ and ... 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

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

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

Thermodynamics Of A Class Of Kerr-Bolt-Ads SpacetimeMay 14 2003Using a boundary prescription motivated by the Ads-Cft conjecture, I study the thermodynamical properties of the class of Kerr-Bolt-Ads spacetime.The stability conditions and the complete phase diagrams are investigated.