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Chaos-guided Input Structuring for Improved Learning in Recurrent Neural NetworksDec 26 2017Feb 18 2018Anatomical studies demonstrate that brain reformats input information to generate reliable responses for performing computations. However, it remains unclear how neural circuits encode complex spatio-temporal patterns. We show that neural dynamics are ... More

Attention Tree: Learning Hierarchies of Visual Features for Large-Scale Image RecognitionAug 01 2016One of the key challenges in machine learning is to design a computationally efficient multi-class classifier while maintaining the output accuracy and performance. In this paper, we present a tree-based classifier: Attention Tree (ATree) for large-scale ... More

Implicit Generative Modeling of Random Noise during Training for Adversarial RobustnessJul 05 2018Feb 08 2019We introduce a Noise-based prior Learning (NoL) approach for training neural networks that are intrinsically robust to adversarial attacks. We find that the implicit generative modeling of random noise with the same loss function used during posterior ... More

Unsupervised Regenerative Learning of Hierarchical Features in Spiking Deep Networks for Object RecognitionFeb 03 2016We present a spike-based unsupervised regenerative learning scheme to train Spiking Deep Networks (SpikeCNN) for object recognition problems using biologically realistic leaky integrate-and-fire neurons. The training methodology is based on the Auto-Encoder ... More

Tree-CNN: A Hierarchical Deep Convolutional Neural Network for Incremental LearningFeb 15 2018May 23 2018In recent years, Convolutional Neural Networks (CNNs) have shown remarkable performance in many computer vision tasks such as object recognition and detection. However, complex training issues, such as `catastrophic forgetting' and hyper-parameter tuning, ... More

A Low Effort Approach to Structured CNN Design Using PCADec 15 2018Mar 12 2019Deep learning models hold state of the art performance in many fields, yet their design is still based on heuristics or grid search methods. This work proposes a method to analyze a trained network and deduce an optimized, compressed architecture that ... More

STDP Based Pruning of Connections and Weight Quantization in Spiking Neural Networks for Energy Efficient RecognitionOct 12 2017Spiking Neural Networks (SNNs) with a large number of weights and varied weight distribution can be difficult to implement in emerging in-memory computing hardware due to the limitations on crossbar size (implementing dot product), the constrained number ... More

Conditional Deep Learning for Energy-Efficient and Enhanced Pattern RecognitionSep 29 2015Jan 28 2016Deep learning neural networks have emerged as one of the most powerful classification tools for vision related applications. However, the computational and energy requirements associated with such deep nets can be quite high, and hence their energy-efficient ... More

Discretization based Solutions for Secure Machine Learning against Adversarial AttacksFeb 08 2019Feb 11 2019Adversarial examples are perturbed inputs that are designed (from a deep learning network's (DLN) parameter gradients) to mislead the DLN during test time. Intuitively, constraining the dimensionality of inputs or parameters of a network reduces the 'space' ... More

Convolutional Spike Timing Dependent Plasticity based Feature Learning in Spiking Neural NetworksMar 10 2017Mar 20 2017Brain-inspired learning models attempt to mimic the cortical architecture and computations performed in the neurons and synapses constituting the human brain to achieve its efficiency in cognitive tasks. In this work, we present convolutional spike timing ... More

Discretization based Solutions for Secure Machine Learning against Adversarial AttacksFeb 08 2019Adversarial examples are perturbed inputs that are designed (from a deep learning network's (DLN) parameter gradients) to mislead the DLN during test time. Intuitively, constraining the dimensionality of inputs or parameters of a network reduces the 'space' ... More

A Low Effort Approach to Structured CNN Design Using PCADec 15 2018Deep learning models hold state of the art performance in many fields, yet their design is still based on heuristics or grid search methods. This work proposes a method to analyze a trained network and deduce a redundancy-free, compressed architecture ... More

Gabor Filter Assisted Energy Efficient Fast Learning Convolutional Neural NetworksMay 12 2017Convolutional Neural Networks (CNN) are being increasingly used in computer vision for a wide range of classification and recognition problems. However, training these large networks demands high computational time and energy requirements; hence, their ... More

Magnetic Tunnel Junction Mimics Stochastic Cortical Spiking NeuronsOct 01 2015Dec 19 2017Brain-inspired computing architectures attempt to mimic the computations performed in the neurons and the synapses in the human brain in order to achieve its efficiency in learning and cognitive tasks. In this work, we demonstrate the mapping of the probabilistic ... More

FALCON: Feature Driven Selective Classification for Energy-Efficient Image RecognitionSep 12 2016Mar 08 2017Machine-learning algorithms have shown outstanding image recognition or classification performance for computer vision applications. However, the compute and energy requirement for implementing such classifier models for large-scale problems is quite ... More

FALCON: Feature Driven Selective Classification for Energy-Efficient Image RecognitionSep 12 2016Machine-learning algorithms have shown outstanding image recognition or classification performance for computer vision applications. However, the compute and energy requirement for implementing such classifier models for large-scale problems is quite ... More

An Energy-Efficient Mixed-Signal Neuron for Inherently Error-Resilient Neuromorphic SystemsOct 24 2017This work presents the design and analysis of a mixed-signal neuron (MS-N) for convolutional neural networks (CNN) and compares its performance with a digital neuron (Dig-N) in terms of operating frequency, power and noise. The circuit-level implementation ... More

Voltage-Driven Domain-Wall Motion based Neuro-Synaptic Devices for Dynamic On-line LearningMay 19 2017Nov 23 2017Conventional von-Neumann computing models have achieved remarkable feats for the past few decades. However, they fail to deliver the required efficiency for certain basic tasks like image and speech recognition when compared to biological systems. As ... More

Magnetic Tunnel Junction Mimics Stochastic Cortical Spiking NeuronsOct 01 2015Jul 23 2016Brain-inspired computing architectures attempt to mimic the computations performed in the neurons and the synapses in the human brain in order to achieve its efficiency in learning and cognitive tasks. In this work, we demonstrate the mapping of the probabilistic ... More

ASP: Learning to Forget with Adaptive Synaptic Plasticity in Spiking Neural NetworksMar 22 2017Jun 08 2018A fundamental feature of learning in animals is the "ability to forget" that allows an organism to perceive, model and make decisions from disparate streams of information and adapt to changing environments. Against this backdrop, we present a novel unsupervised ... More

Energy-Efficient Object Detection using Semantic DecompositionSep 29 2015Sep 20 2016Machine-learning algorithms offer immense possibilities in the development of several cognitive applications. In fact, large scale machine-learning classifiers now represent the state-of-the-art in a wide range of object detection/classification problems. ... More

RESPARC: A Reconfigurable and Energy-Efficient Architecture with Memristive Crossbars for Deep Spiking Neural NetworksFeb 20 2017Neuromorphic computing using post-CMOS technologies is gaining immense popularity due to its promising abilities to address the memory and power bottlenecks in von-Neumann computing systems. In this paper, we propose RESPARC - a reconfigurable and energy ... More

Inferring disease correlation from healthcare dataOct 11 2015Electronic Health Records maintained in health care settings are a potential source of substantial clinical knowledge. The massive volume of data, unstructured nature of records and obligatory requirement of domain acquaintance together pose a challenge ... More

Thermopower generation and thermoelectric cooling in a Kane-Mele normal-insulator-superconductor nano-junctionDec 20 2018We have studied thermoelectric effect of a Kane-Mele normal-insulator-superconductor (KMNIS) junction at ultra-low temperatures using a modified version of the well-known Blonder-Tinkham-Klapwijk (BTK) theory. Since both the (electronic) charge and thermal ... More

Exploiting Inherent Error-Resiliency of Neuromorphic Computing to achieve Extreme Energy-Efficiency through Mixed-Signal NeuronsJun 13 2018Neuromorphic computing, inspired by the brain, promises extreme efficiency for certain classes of learning tasks, such as classification and pattern recognition. The performance and power consumption of neuromorphic computing depends heavily on the choice ... More

DBBRBF- Convalesce optimization for software defect prediction problem using hybrid distribution base balance instance selection and radial basis Function classifierJun 08 2018Software is becoming an indigenous part of human life with the rapid development of software engineering, demands the software to be most reliable. The reliability check can be done by efficient software testing methods using historical software prediction ... More

Big Models for Big Data using Multi objective averaged one dependence estimatorsOct 25 2016Even though, many researchers tried to explore the various possibilities on multi objective feature selection, still it is yet to be explored with best of its capabilities in data mining applications rather than going for developing new ones. In this ... More

Characterization of dielectric barrier discharge in air applying current measurement, numerical simulation and emission spectroscopyFeb 17 2012Dielectric barrier discharge (DBD) in air is characterized applying current measurement, numerical simulation and optical emission spectroscopy (OES). For OES, a non-calibrated spectrometer is used. This diagnostic method is applicable when cross-sectional ... More

F-string Solution in AdS4 X CP3 PP-wave BackgroundJun 06 2016We present supergravity solution for F-string in pp wave background obtained from AdS4 X CP3 with zero flat directions.The classical solution is shown to break all space-time supersymmetries. We explicitly write down the standard as well as supernumerary ... More

A combinatorial characterization of finite groups of prime exponentMay 30 2018Jan 30 2019The power graph of a group $G$ is a graph with vertex set $G$ and two distinct vertices are adjacent if one is a power of the other. In [P. J. Cameron and S. Ghosh. The power graph of a finite group. {\em Discrete Math.}, {\bf 311}(13):1220-1222, 2011] ... More

Gelfand-Dikii Brackets for Nonstandard Supersymmetric SystemsOct 11 1995We show how a general nonstandard Lax equation (supersymmetric or otherwise) can be expressed as a standard Lax equation. This enables us to define the Gelfand-Dikii brackets for a nonstandard supersymmetric equation. We discuss the Hamiltonian structures ... More

COSMOS-${\it e}'$-GTachyon from String TheoryNov 18 2015Apr 12 2016In this article, our prime objective is to study the inflationary paradigm from generalized tachyon (GTachyon) living on the world volume of a non-BPS string theory. The tachyon action is considered here is getting modified compared to the original action. ... More

Anisotropic Bouncing Scenario in $F(X)-V(φ)$ modelJan 08 2015We investigate the cosmology of a class of model with noncanonical scalar field and matter in an anisotropic time dependent background. Writing the Einstein Equations in terms of dimensionless dynamical variables appropriately defined for bouncing solutions, ... More

Prospects for detection of the lunar Cerenkov emission by the UHE Cosmic Rays and Neutrinos using the GMRT and the Ooty Radio TelescopeMay 28 2008Searching for the Ultra high energy Cosmic rays and Neutrinos of $> 10^{20} eV$ is of great cosmological importance. A powerful technique is to search for the \v{C}erenkov radio emission caused by UHECR or UHE neutrinos impinging on the lunar regolith. ... More

Remarks on the Additional Symmetries and W-Constraints in the Generalized KdV HierarchyJul 16 1992Additional symmetries of the $p$-reduced KP hierarchy are generated by the Lax operator $L$ and another operator $M$, satisfying $res (M^n L^{m+n/p})$ = 0 for $1 \leq n \leq p-1$ and $m \geq -1$ with the condition that ${\partial L \over {\partial t_{kp}}}$ ... More

A combinatorial characterization of finite groups of prime exponentMay 30 2018Mar 19 2019The power graph of a group $G$ is a simple and undirected graph with vertex set $G$ and two distinct vertices are adjacent if one is a power of the other. In this article, we characterize (non-cyclic) finite groups of prime exponent and finite elementary ... More

Lambda AntiLambda Production as a Benchmark Channel for PANDAAug 02 2005The PANDA experiment which is part of the future FAIR facility at Darmstadt will investigate reactions of antiprotons with hydrogen and nuclear targets. One of the benchmark channel for the simulation and the design of the detector is the Lambda AntiLambda ... More

Boundary perturbations and the Helmholtz equation in three dimensionsDec 07 2012We propose an analytic perturbative scheme for determining the eigenvalues of the Helmholtz equation, $(\nabla^2 + k^2) \psi = 0$, in three dimensions with an arbitrary boundary where $\psi$ satisfies either the Dirichlet boundary condition ($\psi =0$ ... More

Probing Very High Energy Prompt Muon and Neutrino fluxes and the cosmic ray knee via Underground MuonsDec 14 2005Aug 31 2006We calculate event rate and demonstrate the observational feasibility of very high energy muons (1-1000 TeV) in a large mass underground detector operating as a pair-meter. This energy range corresponds to surface muon energies of $\sim$(5 TeV - 5000 ... More

Two Graviton Production at $e^+e^-$ and Hadron Hadron Colliders in the Randall-Sundrum ModelJan 28 2004Jan 31 2004We compute the pair production cross section of two Kaluza Klein modes in the Randall-Sundrum model at $e^+e^-$ and hadron hadron colliders. These processes are interesting because they get dominant contribution from the graviton interaction at next to ... More

Antibracket as the Hamiltonian Structure of a classical integrable systemJan 27 1995The time evolution in a supersymmetric extension of the Kodomtsev-Petviashvilli hierarchy, a classical integrable system, is shown to be Hamiltonian. The canonical bracket associated to the Hamiltonian evolution is the classical analog of the antibracket ... More

Fuzzy expert system for prediction of prostate cancerDec 01 2018A fuzzy expert system (FES) for the prediction of prostate cancer (PC) is prescribed in this article. Age, prostate-specific antigen (PSA), prostate volume (PV) and $\%$ Free PSA ($\%$FPSA) are fed as inputs into the FES and prostate cancer risk (PCR) ... More

Cell-Level Modeling of IEEE 802.11 WLANsJun 02 2013We develop a scalable \textit{cell-level} analytical model for multi-cell infrastructure IEEE 802.11 WLANs under a so-called Pairwise Binary Dependence (PBD) condition. The PBD condition is a geometric property under which the relative locations of the ... More

On the Twisted $N=2$ Superconformal Structure in $2d$ Gravity Coupled to MatterMay 10 1993It is shown that the two dimensional gravity, described either in the conformal gauge (the Liouville theory) or in the light cone gauge, when coupled to matter possesses an infinite number of twisted $N=2$ superconformal symmetries. The central charges ... More

On the Symmetry Algebra of the Discrete States in $d<2$ Closed String TheoryJan 21 1993The Symmetry charges associated with the Lian-Zuckerman states for $d<2$ closed string theory are constructed. Unlike in the open string case, it is shown here that the symmetry charges commute among themselves and act trivially on all the physical states. ... More

Precision resonance energy scans with the PANDA experiment at FAIR -- Sensitivity study for width and line-shape measurements of the X(3872)Dec 12 2018This paper summarises a comprehensive Monte Carlo simulation study for precision resonance energy scan measurements. Apart from the proof of principle for natural width and line-shape measurements of very narrow resonances with PANDA, the achievable sensitivities ... More

Probing Low-x QCD With Very High Energy Prompt MuonsDec 31 2006We explore the possibility of utilizing the prompt muon fluxes at very high energies in order to discriminate various models/parametrizations of low-x QCD behaviour of hadronic cross-sections relevant at such energies. We find that the pair meter technique ... More

Finite Temperature Effects and Axion CosmologyMay 08 2006We investigate the impact of finite temperature effects on axions in the context of cosmology. The temperature dependence of the decay constant is modeled analogous to pions. For the two interesting cases considered here, we find that the temperature ... More

Quantum aspects of antisymmetric tensor field with spontaneous Lorentz violationMar 27 2019We study the quantization of a simple model of antisymmetric tensor field with spontaneous Lorentz violation in curved spacetime. We evaluate the 1-loop corrections at first order of metric perturbation, using a general covariant effective action approach. ... More

Expansion of Generalized Hukuhara Differentiable Interval Valued FunctionFeb 27 2019In this article, the concept of $\mu-$ monotonic property of interval-valued function in higher dimension is introduced. Expansion of interval-valued function in higher dimension is developed using this property. Generalized Hukuhara differentiability ... More

Topological Conformal Algebra in $2d$ Gravity Coupled to Minimal MatterSep 10 1993An infinite number of topological conformal algebras with varying central charges are explicitly shown to be present in $2d$ gravity (treated both in the conformal gauge and in the light-cone gauge) coupled to minimal matter. The central charges of the ... More

BRST Cohomology Ring in ${\hat c_M}<1$ NSR String TheoryJul 09 1995The full cohomology ring of the Lian-Zuckerman type operators (states) in ${\hat c_M}<1$ Neveu-Schwarz-Ramond (NSR) string theory is argued to be generated by three elements $x$, $y$ and $w$ in analogy with the corresponding results in the bosonic case. ... More

Laplacian spectra of power graphs of certain finite groupsJun 08 2017Nov 10 2018In this article, various aspects of Laplacian spectra of power graphs of finite cyclic, dicyclic and finite $p$-groups are studied. Algebraic connectivity of power graphs of the above groups are considered and determined completely for that of finite ... More

Anisotropic Cyclic Universe in $F(X)-V(φ)$ modelJun 16 2014Jul 08 2015We investigate the cosmology of a class of model with noncanonical scalar field and matter in an anisotropy background. We find fixed points and their stability which constraints equation of state parameter for the matter. This is done after expressing ... More

Warm tachyonic inflation in warped backgroundJan 05 2009Jun 11 2009We analyze warm tachyonic inflation, proposed in the literature, but from the viewpoint of four dimensional effective action for tachyon field on a non-BPS D3-brane. We find that consistency with observational data on density perturbation and validity ... More

Electromagnetic Strings: Complementarity between Time and TemperatureMay 08 2002Oct 07 2002We investigate some of the intricate features in a gravity decoupling limit of a open bosonic string theory, in a constant electromagnetic (EM-) field. We explain the subtle nature of space-time at short distances, due to its entanglement with the gauge ... More

Boundary Fluctuations of AdS StringOct 19 1998We analyse the world-sheet perturbations of string theory formulated around $AdS_3$ background. We identify a set of operators that, while added to the world-sheet action, generate the boundary fluctuations of $AdS_3$. The effect of these operators can ... More

Brane Embeddings in AdS_4 x CP^3Sep 16 2009Jun 13 2011We construct D-brane embeddings in AdS_4 x CP^3 by studying the consistency conditions following from the pull back of target space equations of motion. We explicitly discuss the supersymmetry preserved by these embeddings by analyzing the compatibility ... More

Bhasvati of Satananda: In the Pages of MysteryApr 07 2019Satanandacharya the astronomer and mathematician of 11th century was born in 1068 C.E. at Purusottamdham Puri of Odisha wrote the scripture Bhasvati in 1099 C.E.. The scripture has significant contribution to world of Astronomy and Mathematics. Satananda ... More

Quantum entanglement in de Sitter space from Stringy Axion: An analysis using $α$ vacuaDec 22 2017Jun 01 2018In this work, we study the phenomena of quantum entanglement by computing de Sitter entanglement entropy from von Neumann measure. For this purpose we consider a bipartite quantum field theoretic setup in presence of axion originating from ${\bf Type~ ... More

The Lax Operator Approach for the Virasoro and the W-Constraints in the Generalized KdV HierarchyAug 26 1992We show directly in the Lax operator approach how the Virasoro and W-constraints on the $\tau$-function arise in the $p$-reduced KP hierarchy or generalized KdV hierarchy. In partiacular, we consider the KdV and Boussinesq hierarchy to show that the Virasoro ... More

Entanglement in non-equilibrium steady states and many-body localization breakdown through dissipative tunnelingApr 08 2019We model an electric-field or current driven interacting disorder system, coupled to environment at the boundaries, through an effective non-Hermitian Hamiltonian and study the entanglement properties of its eigenstates. In particular, we investigate ... More

Space-resolved characterization of high frequency atmospheric-pressure plasma in nitrogen applying optical emission spectroscopy and numerical simulationSep 26 2011Averaged plasma parameters such as electron distribution function and electron density are determined by characterization of high frequency (2.4 GHz) nitrogen-plasma using both experimental methods, namely optical emission spectroscopy (OES) and microphotography, ... More

Some Algorithmic Results on Restrained Domination in GraphsJun 07 2016A set $D\subseteq V$ of a graph $G=(V,E)$ is called a restrained dominating set of $G$ if every vertex not in $D$ is adjacent to a vertex in $D$ and to a vertex in $V \setminus D$. The \textsc{Minimum Restrained Domination} problem is to find a restrained ... More

Entanglement Temperature With Gauss-Bonnet TermJul 23 2015Jul 30 2015We compute the entanglement temperature using the first law-like of thermodynamics, $\Delta E=T_{ent} \Delta S_{EE}$, up to Gauss-Bonnet term in the Jacobson-Myers entropy functional in any arbitrary spacetime dimension. The computation is done when the ... More

On several kinds of sums involving balancing and Lucas-balancing numbersAug 21 2016Sep 04 2016A balancing number $x$ is a natural number such that $8x^2+1$ is a perfect square and $\sqrt{8x^2+1}$ is called a Lucas-balancing number. In this paper, we explore several finite and infinite sums involving balancing and Lucas-balancing numbers.

q-Line Search Scheme for Optimization ProblemFeb 06 2017In this paper new descent line search iterative schemes for unconstrained as well as constrained optimization problems are developed using q-derivative. At every iteration of the scheme, a positive definite matrix is provided which is neither exact Hessian ... More

On several kinds of sums of balancing numbersAug 21 2016Jan 11 2018The balancing numbers $B_n$ ($n=0,1,\cdots$) are solutions of the binary recurrence $B_n=6B_{n-1}-B_{n-2}$ ($n\ge 2$) with $B_0=0$ and $B_1=1$. In this paper we show several relations about the sums of product of two balancing numbers of the type $\sum_{m=0}^n ... More

High-energy Atmospheric Muon Flux Expected at India-Based Neutrino ObservatoryOct 16 2007Feb 04 2008We calculate the zenith-angle dependence of conventional and prompt high-energy muon fluxes at India-Based Neutrino Observatory (INO) depth. This study demonstrates a possibility to discriminate models of the charm hadroproduction including the low-x ... More

On The Two and Three Dimensional Ideal Magnetic Bénard Problem - Local Existence and Blow-up CriterionJun 15 2017In this paper, we consider the ideal magnetic B\'{e}nard problem in both two and three dimensions and prove local-in-time existence and uniqueness of strong solutions in $H^s$ for $s > \frac{n}{2}+1, n = 2,3$. In addition, a necessary condition is derived ... More

Field theoretic study of light hypernucleiNov 24 1997A nonperturbative field theoretic calculation has been made for the $s$-shell hypernuclei. Here we dress the $\Lambda$- and $\Sigma$- hypernuclei with off-mass shell pion pairs. The analysis replaces the scalar isoscalar potential by quantum coherent ... More

Coincident Dp-branes in codimension twoNov 13 2002Nov 23 2002We derive the mass shell condition for N coincident D0 branes in codimension two i.e. in space-time dimension three. Using this we present the action for this system in first order formalism. Our analysis is restricted to flat space-time.

Modeling Multi-Cell IEEE 802.11 WLANs with Application to Channel AssignmentMar 01 2009Mar 14 2009We provide a simple and accurate analytical model for multi-cell infrastructure IEEE 802.11 WLANs. Our model applies if the cell radius, $R$, is much smaller than the carrier sensing range, $R_{cs}$. We argue that, the condition $R_{cs} >> R$ is likely ... More

Local Scale Invariance and InflationApr 29 2016We study the inflation and the cosmological perturbations generated during the inflation in a local scale invariant model. The local scale invariant model introduces a vector field $S_{\mu}$ in this theory. In this paper, for simplicity, we consider the ... More

Particle Physics Bounds from the Hulse-Taylor BinaryFeb 28 1994Oct 29 1994The orbital period of the binary pulsar PSR 1913+16 has been observed to decrease at the rate of $2.40\times 10^{-12}$ s/s which agrees with the prediction of the quadropole formula for gravitational radiation to within one percent. The decrease in orbital ... More

Higher Order Regularity and Blow-up Criterion for Semi-dissipative and Ideal Boussinesq EquationsJun 15 2017In this paper we establish local-in-time existence and uniqueness of strong solutions in $H^s$ for $s > \frac{n}{2}$ to the viscous, zero thermal-diffusive Boussinesq equations in $\mathbb{R}^n , n = 2,3$. Beale-Kato-Majda type blow-up criterion has been ... More

Metric deformation and boundary value problems in 3DJul 24 2013A novel perturbative method, proposed by Panda {\it et al.} [1] to solve the Helmholtz equation in two dimensions, is extended to three dimensions for general boundary surfaces. Although a few numerical works are available in the literature for specific ... More

Godel Type Metrics in Randall Sundrum ModelJan 17 2005Oct 14 2005Anisotropic cosmological models such as the G\"{o}del universe and its extensions - G\"{o}del type solutions, are embedded on a visible 3-brane in the Randall-Sundrum 1 model. The size of the extra dimension is stabilized by tuning the rotation parameter ... More

NP-Completeness of Hamiltonian Cycle Problem on Rooted Directed Path GraphsSep 15 2008The Hamiltonian cycle problem is to decide whether a given graph has a Hamiltonian cycle. Bertossi and Bonuccelli (1986, Information Processing Letters, 23, 195-200) proved that the Hamiltonian Cycle Problem is NP-Complete even for undirected path graphs ... More

Local Scale Invariance and InflationApr 29 2016Sep 21 2018We study the inflation and the cosmological perturbations generated during the inflation in a local scale invariant model. The local scale invariant model introduces a vector field $S_{\mu}$ in this theory. In this paper, for simplicity, we consider the ... More

A Two-Phase Quasi-Newton Method for Optimization ProblemJul 29 2018In this paper, a two-phase quasi-Newton scheme is proposed for solving an unconstrained optimization problem. The global convergence property of the scheme is provided under mild assumptions. The superlinear rate of the scheme is also proved in the vicinity ... More

Perovskite Quantum OrganismoidsMar 03 2017A central characteristic of living beings is the ability to learn from and respond to their environment leading to habit formation and decision making1-3. This behavior, known as habituation, is universal among forms of life with a central nervous system, ... More

Augmenting transcriptome assembly combinatoriallyMay 27 2013May 31 2013RNA-seq allows detection and precise quantification of transcripts, provides comprehensive understanding of exon/intron boundaries, aids discovery of alternatively spliced isoforms and fusion transcripts along with measurement of allele-specific expression. ... More

Warm and dense stellar matter under strong magnetic fieldsMay 02 2011We investigate the effects of strong magnetic fields on the equation of state of warm stellar matter as it may occur in a protoneutron star. Both neutrino free and neutrino trapped matter at a fixed entropy per baryon are analyzed. A relativistic mean ... More

Algorithmic aspects of disjunctive domination in graphsFeb 26 2015Mar 04 2015For a graph $G=(V,E)$, a set $D\subseteq V$ is called a \emph{disjunctive dominating set} of $G$ if for every vertex $v\in V\setminus D$, $v$ is either adjacent to a vertex of $D$ or has at least two vertices in $D$ at distance $2$ from it. The cardinality ... More

Bell violation in the SkyJul 01 2016Dec 03 2016In this work, we have studied the possibility of setting up Bell's inequality violating experiment in the context of cosmology, based on the basic principles of quantum mechanics. First we start with the physical motivation of implementing the Bell's ... More

Observational Constraints on Axions as Quintessence in String TheoryAug 05 2011We study the observational constraints for the axion models in string theory which can successfully act as quintessence. The evolution of the universe in this model is sensitive to the initial value of the axion field. This initial value of the axion ... More

Heat Kernel Expansion and Extremal Kerr-Newmann Black Hole Entropy in Einstein-Maxwell TheoryApr 18 2012We compute the second Seely-DeWitt coefficient of the kinetic operator of the metric and gauge fields in Einstein-Maxwell theory in an arbitrary background field configuration. We then use this result to compute the logarithmic correction to the entropy ... More

Viability of Arctan Model of f(R) Gravity for Late-time CosmologyJan 27 2016$f(R)$ modifications of Einstein's gravity is an interesting possibility to explain the late time acceleration of the Universe. In this work we explore the cosmological viability of one such $f(R)$ modification proposed in (Kruglov:2013). We show that ... More

Metric for Rotating object in Infrared Corrected Nonlocal Gravity ModelAug 14 2018Here, we derive the metric for the spacetime around rotating object for the gravity action having nonlocal correction of $R\Box^{-2} R $ to the Einstein-Hilbert action. Starting with the generic stationary, axisymmetric metric, we solve the equations ... More

Origin of the geometric tachyonApr 17 2008Apr 30 2008The motion of a Dp-brane in the background of a stack of coincident NS5-branes is analysed as the motion of a relativistic point particle in the transverse space of the five-branes. In this system, the particle experiences a proper acceleration orthogonal ... More

Quantum Vacuum in Hot Nuclear Matter - A Nonperturbative TreatmentMar 05 2001We derive the equation of state for hot nuclear matter using Walecka model in a nonperturbative formalism. We include here the vacuum polarisation effects arising from the nucleon and scalar mesons through a realignment of the vacuum. A ground state structure ... More

Vacuum polarization effects in hyperon rich dense matter -- a nonperturbative treatmentDec 31 2000We derive the equation of state (EOS) for electrically charge neutral dense matter using Quantum Hadrodynamics (QHD) model. This is carried out in a nonperturbative manner including quantum corrections for baryons through a realignment of vacuum with ... More

Repdigits as products of consecutive balancing or Lucas-balancing numbersDec 28 2018Repdigits are natural numbers formed by the repetition of a single digit. In this paper, we explore the presence of repdigits in the product of consecutive balancing or Lucas-balancing numbers.

Repdigits in Euler functions of Pell and associated pell numbersFeb 13 2018A natural number $n$ is called a repdigit if all its digits are same. In this paper, we prove that Euler totient function of no Pell number is a repdigit with at least two digits. This study is also extended to certain subclass of associated Pell numbers. ... More

Formation of neutron-rich and superheavy elements in astrophysical objectsJun 20 2009We calculate the reaction and the fusion cross-sections of neutron-rich heavy nuclei taking light exotic isotopes as projectiles. Results of neutron-rich Pb and U isotopes are demonstrated as the representative targets and He, B as the projectiles. The ... More

Structure effect on one neutron removal reaction using relativistic mean field densities in Glauber modelOct 24 2010We calculate the one neutron removal reaction cross-section $(\sigma_{-1n})$ for few stable and neutron-rich halo nuclei with $^{12}$C as target, using relativistic mean field (RMF) densities, in the frame work of Glauber model.The results are compared ... More

Properties of Many-Polaron in Fractional Dimensional SpaceNov 09 2014Polaron binding energy and effective mass are calculated in the fractional-dimensional space approach using the second-order perturbation theory. The effect of carrier density on the static screening correction of the electron-phonon interaction is calculated ... More

Brane-Production and the Neutrino-Nucleon cross section at Ultra High Energies in Low Scale Gravity ModelsJan 24 2002Oct 16 2002The origin of the ultra high energy cosmic ray (UHECR) showers has remained as a mystery among particle physicists and astrophysicists. In low scale gravity models, where the neutrino-nucleon cross section rises to typical hadronic values at energies ... More

An orientifold of the solitonic fivebraneJun 09 1997Jun 25 1997We study an orientifold of the solitonic fivebrane of type II string theory. The consideration is restricted to a space-time domain which can be described by an exact conformal field theory. There are no IR divergent contributions to tadpole diagrams ... More