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Novel Quadrotor Manipulation SystemApr 10 2019This thesis introduces a novel quadrotor manipulation system that consists of 2-link manipulator attached to the bottom of a quadrotor. This new system presents a solution for the drawbacks found in the current quadrotor manipulation system which uses ... More

Controller Design and Implementation of a New Quadrotor Manipulation SystemApr 11 2019The previously introduced aerial manipulation systems suffer from either limited end-effector DOF or small payload capacity. In this dissertation, a quadrotor with a 2-DOF manipulator is investigated that has a unique topology to enable the end-effector ... More

Automatic Critical Mechanic Discovery in Video GamesSep 06 2019We present a system that automatically discovers critical mechanics in a variety of video games within the General Video Game Artificial Intelligence (GVG-AI) framework using a combination of game description parsing and playtrace information. Critical ... More

Quadrotor Manipulation System: Development of a Robust Contact Force Estimation and Impedance Control Scheme Based on DOb and FTRLSMar 29 2019The research on aerial manipulation systems has been increased rapidly in recent years. These systems are very attractive for a wide range of applications due to their unique features. However, dynamics, control and manipulation tasks of such systems ... More

Experimental Implementation of a New Non-redundant 6-DOF Quadrotor Manipulation SystemMar 28 2019This paper presents an experimental validation of a new quadrotor-based aerial manipulator. A quadrotor is equipped with a 2-DOF robotic arm that is designed with a new topology to enable the end-effector of the whole system to track a 6-DOF trajectory. ... More

Strongly representable atom structuresApr 19 2013Using constructions of Hirsch and Hodkinson, we show that the class of strongly atom structures for various cylindric-like algebras is not elementary. This applies to diagonal free reducts and polyadic algebras with and without equality. This follows ... More

ELIMINATION from Design to AnalysisMay 15 2019Elimination is a word puzzle game for browsers and mobile devices, where all levels are generated by a constrained evolutionary algorithm with no human intervention. This paper describes the design of the game and its level generation methods, and analysis ... More

DeepTingleMay 09 2017DeepTingle is a text prediction and classification system trained on the collected works of the renowned fantastic gay erotica author Chuck Tingle. Whereas the writing assistance tools you use everyday (in the form of predictive text, translation, grammar ... More

Tree Search vs Optimization Approaches for Map GenerationMar 27 2019Search-based procedural content generation uses stochastic global optimization algorithms to search spaces of game content. However, it has been found that tree search can be competitive with evolution on certain optimization problems. We investigate ... More

DeepTingleMay 09 2017Mar 27 2019DeepTingle is a text prediction and classification system trained on the collected works of the renowned fantastic gay erotica author Chuck Tingle. Whereas the writing assistance tools you use everyday (in the form of predictive text, translation, grammar ... More

Talakat: Bullet Hell Generation through Constrained Map-ElitesJun 12 2018Jun 14 2018We describe a search-based approach to generating new levels for bullet hell games, which are action games characterized by and requiring avoidance of a very large amount of projectiles. Levels are represented using a domain-specific description language, ... More

General Video Game Rule GenerationJun 12 2019We introduce the General Video Game Rule Generation problem, and the eponymous software framework which will be used in a new track of the General Video Game AI (GVGAI) competition. The problem is, given a game level as input, to generate the rules of ... More

Intentional Computational Level DesignApr 18 2019The procedural generation of levels and content in video games is a challenging AI problem. Often such generation relies on an intelligent way of evaluating the content being generated so that constraints are satisfied and/or objectives maximized. In ... More

Large deviation for lasso diffusion processOct 01 2016The aim of the present paper is to extend the large deviation with discontinuous statistics studied in \cite{BDE} to the diffusion $d\mathbf{x}^\varepsilon = -\{\mathbf{A}^\top (\mathbf{A} \mathbf{x}^\varepsilon - \mathbf{y}) + \mu sgn(\mathbf{x}^\varepsilon)\}dt ... More

Estimating drift parameters in a non-ergodic Gaussian Vasicek-type modelSep 13 2019We study the problem of parameter estimation for a non-ergodic Gaussian Vasicek-type model defined as $dX_t=(\mu+\theta X_t)dt+dG_t,\ t\geq0$ with unknown parameters $\theta>0$ and $\mu\in\R$, where $G$ is a Gaussian process. We provide least square-type ... More

Volatility estimation in fractional Ornstein-Uhlenbeck modelsFeb 26 2018In this article we study the asymptotic behaviour of the realized quadratic variation of a process $\int_{0}^{t}u_{s}dY_{s}^{(1)}$% , where $u$ is a $\beta$-H\"older continuous process with $\beta > 1-H$ and $Y_{t}^{(1)}=\int_{0}^{t}e^{-s}dB^{H}_{a_s}$, ... More

General Video Game AI: a Multi-Track Framework for Evaluating Agents, Games and Content Generation AlgorithmsFeb 28 2018Dec 26 2018General Video Game Playing (GVGP) aims at designing an agent that is capable of playing multiple video games with no human intervention. In 2014, The General Video Game AI (GVGAI) competition framework was created and released with the purpose of providing ... More

Illuminating Generalization in Deep Reinforcement Learning through Procedural Level GenerationJun 28 2018Nov 29 2018Deep reinforcement learning (RL) has shown impressive results in a variety of domains, learning directly from high-dimensional sensory streams. However, when neural networks are trained in a fixed environment, such as a single level in a video game, they ... More

AtDelfi: Automatically Designing Legible, Full Instructions For GamesJul 11 2018Sep 17 2018This paper introduces a fully automatic method for generating video game tutorials. The AtDELFI system (AuTomatically DEsigning Legible, Full Instructions for games) was created to investigate procedural generation of instructions that teach players how ... More

Procedural Content Generation through Quality DiversityJul 09 2019Quality-diversity (QD) algorithms search for a set of good solutions which cover a space as defined by behavior metrics. This simultaneous focus on quality and diversity with explicit metrics sets QD algorithms apart from standard single- and multi-objective ... More

A Continuous Information Gain Measure to Find the Most Discriminatory Problems for AI BenchmarkingSep 09 2018Sep 11 2018This paper introduces an information-theoretic method for selecting a small subset of problems which gives us the most information about a group of problem-solving algorithms. This method was tested on the games in the General Video Game AI (GVGAI) framework, ... More

Generating Levels That Teach MechanicsJul 18 2018Oct 01 2018The automatic generation of game tutorials is a challenging AI problem. While it is possible to generate annotations and instructions that explain to the player how the game is played, this paper focuses on generating a gameplay experience that introduces ... More

Two-step Constructive Approaches for Dungeon GenerationJun 11 2019This paper presents a two-step generative approach for creating dungeons in the rogue-like puzzle game MiniDungeons 2. Generation is split into two steps, initially producing the architectural layout of the level as its walls and floor tiles, and then ... More

Superstition in the Network: Deep Reinforcement Learning Plays Deceptive GamesAug 12 2019Deep reinforcement learning has learned to play many games well, but failed on others. To better characterize the modes and reasons of failure of deep reinforcement learners, we test the widely used Asynchronous Actor-Critic (A2C) algorithm on four deceptive ... More

General Video Game AI: a Multi-Track Framework for Evaluating Agents, Games and Content Generation AlgorithmsFeb 28 2018Feb 22 2019General Video Game Playing (GVGP) aims at designing an agent that is capable of playing multiple video games with no human intervention. In 2014, The General Video Game AI (GVGAI) competition framework was created and released with the purpose of providing ... More

"Press Space to Fire": Automatic Video Game Tutorial GenerationMay 30 2018We propose the problem of tutorial generation for games, i.e. to generate tutorials which can teach players to play games, as an AI problem. This problem can be approached in several ways, including generating natural language descriptions of game rules, ... More

Another proofs of the geometrical forms of Paley-Wiener theorems for the Dunkl transform and inversion formulas for the Dunkl interwining operator and for its dualMay 04 2004In this paper we present another proofs of the geometrical forms of Paley-Wiener theorems for the Dunkl transform given in [15], and we prove inversion formulas for the Dunl interwining operator Vk and for its dual tVk and we deduce the expression of ... More

Semantic Source Code Search: A Study of the Past and a Glimpse at the FutureAug 15 2019With the recent explosion in the size and complexity of source codebases and software projects, the need for efficient source code search engines has increased dramatically. Unfortunately, existing information retrieval-based methods fail to capture the ... More

Representing the Smallest Ideal and it's closure in the semigroup ($β$N,.) as equivalence classes under the extension of divisibility relationsSep 19 2018In this paper we will prove that all the elements in the smallest ideal K($\beta$N) in the semigroup of the Stone Cech compactification ($\beta$N,.) of the discrete semigroup of natural numbers N under multiplication constitute a single equivalence class ... More

Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and DistributionsSep 29 2008In this paper we prove inversion formulas for the Dunkl intertwining operator $V_k$ and for its dual ${}^tV_k$ and we deduce the expression of the representing distributions of the inverse operators $V_k^{-1}$ and ${}^tV_k^{-1}$, and we give some applications. ... More

Profit and Strategic Analysis for MNO-MVNO PartnershipDec 13 2018We consider a mobile market driven by two Mobile Network Operators (MNOs) and a new competitor Mobile Virtual Network Operator (MVNO). The MNOs can partner with the entrant MVNO by leasing network resources; however, the MVNO can also rely on other technologies ... More

Absolute continuity of the measures of the Dunkl intetwining operator and its dualand applicationsJun 11 2007In this paper we consider the representing measures $\mu_{x},x\in \QTR{Bbb}{R}^{d}$, and $\nu_{y},y\in \QTR{Bbb}{R}^{d}$, of the Dunkl intertwining operator and of its dual. When the multiplicity function is positive, we prove that for all $x\in \QTR{Bbb}{R}_{\QTO{mbox}{reg}}^{d}$ ... More

Parametrizations, weights, and optimal prediction: Part 1Jan 13 2018We consider the problem of the annual mean temperature prediction. The years taken into account and the corresponding annual mean temperatures are denoted by $0,\ldots, n$ and $t_0$, $\ldots$, $t_n$, respectively. We propose to predict the temperature ... More

Obstacle Tower: A Generalization Challenge in Vision, Control, and PlanningFeb 04 2019The rapid pace of research in Deep Reinforcement Learning has been driven by the presence of fast and challenging simulation environments. These environments often take the form of games; with tasks ranging from simple board games, to classic home console ... More

Obstacle Tower: A Generalization Challenge in Vision, Control, and PlanningFeb 04 2019Jul 01 2019The rapid pace of recent research in AI has been driven in part by the presence of fast and challenging simulation environments. These environments often take the form of games; with tasks ranging from simple board games, to competitive video games. We ... More

Levels of Ultrafilters with Extension DivisibilitiesJul 12 2018To work more accurately with elements of the semigroup of the Stone Cech compactification of the discrete semigroup of natural numbers N under multiplication. We divided these elements into ultrafilters which are on finite levels and ultrafilters which ... More

A New Approach to Decoding of Rational Irreducible Goppa codeMay 05 2013Mar 08 2014The interesting properties of classical Goppa code and its effective decoding algorithm (algorithm of patterson) make the most appropriate candidate for use in the MC Eliece cryptosystem. Information leakage which results from the relationship between ... More

Constant-Time Quantum Algorithm For The Unstructured Search ProblemNov 26 2008Given an item and a list of values of size $N$. It is required to decide if such item exists in the list. Classical computer can search for the item in O(N). The best known quantum algorithm can do the job in $O(\sqrt{N})$. In this paper, a quantum algorithm ... More

Detection and Elimination of Non-Trivial Reversible IdentitiesJan 23 2011Non-Trivial Reversible Identities (NTRIs) are reversible circuits that have equal inputs and outputs. NTRIs cannot be detected using optimization algorithms in the literature. Existence of NTRIs in a circuit will cause a slow down by increasing the number ... More

Transmission through a non-overlapping well adjacent to a finite barrierSep 27 2011We point out that a non-overlapping well (at negative energies) adjacent to a finite barrier (at positive energies) is a simple potential which is generally missed out while discussing the one-dimensional potentials in the textbooks of quantum mechanics. ... More

C, PT, and CPT invariance of pseudo-Hermitian HamiltoniansFeb 19 2003We propose construction of a unique and definite metric ($\eta_+$), time-reversal operator (T) and an inner product such that the pseudo-Hermitian matrix Hamiltonians are C, PT, and CPT invariant and PT(CPT)-norm is indefinite (definite). Here, P and ... More

Pseudo-Hermiticity of Hamiltonians under imaginary shift of the co-ordinate : real spectrum of complex potentialsAug 03 2001Aug 10 2001We propose that the real spectrum and the orthogonality of the states for several known complex potentials of both types, PT-symmetric and non-PT-symmetric can be understood in terms of currently proposed $\eta$-pseudo-Hermiticity (Mostafazadeh, quant-ph/0107001) ... More

A note on Coulomb scattering amplitudeOct 03 2003The summation of the partial wave series for Coulomb scattering amplitude, $f^C(\theta)$ is avoided because the series is oscillatorily and divergent. Instead, $f^C(\theta)$ is obtained by solving the Schr{\"o}dinger equation in parabolic cylindrical ... More

P,T,PT, and CPT invariance of Hermitian HamiltoniansFeb 11 2003Feb 26 2003Currently, it has been claimed that certain Hermitian Hamiltonians have parity (P) and they are PT-invariant. We propose generalized definitions of time-reversal operator (T) and orthonormality such that all Hermitian Hamiltonians are P, T, PT, and CPT ... More

Origin of the numerals, Zero conceptJul 24 2007The partisans of the hypothesis of the Indian origin of the numerals create confusion between the history of the Indian mathematics and the history of our modern numerals. To argue the thesis of the Indian origin of the numbers they confound between: ... More

Magnetic AdS2 x R2 at Weak and Strong CouplingDec 20 2011Dec 21 2011We investigate an AdS2 magnetic brane solution within an abelian truncation of gauged supergravity in AdS4 x orbifolded S7. The solutions flow from AdS4 -> AdS2 x R2 with a magnetic field orthogonal to the R2 directions. We find a class of supersymmetric ... More

Holographic Projection Technology: The World is ChangingJun 04 2010This research papers examines the new technology of Holographic Projections. It highlights the importance and need of this technology and how it represents the new wave in the future of technology and communications, the different application of the technology, ... More

Reading a Single Qubit System Using Weak Measurement with Variable StrengthOct 23 2016Acquiring information about an unknown qubit in a superposition of two states is essential in any computation process. Quantum measurement, or sharp measurement, is usually used to read the information contents of that unknown qubit system. Quantum measurement ... More

Tau neutrino as a probe of nonstandard interactions via charged Higgs and $W'$ contributionSep 14 2013We discuss the impact of the presence of a charged Higgs and a $W'$ gauge boson on the tau-neutrino nucleon scattering $\nu_{\tau}+ N \rightarrow \tau^- + X$ and $\bar{\nu}_{\tau}+ N \rightarrow \tau^+ + X$. We show the effect of the new physics on the ... More

An Extension of Shelah's Trichotomy TheoremJun 27 2017Mar 27 2018In Sh506, Shelah develops the theory of $\mathrm{pcf}_I(A)$ without the assumption that $|A|<\min (A)$, going so far as to get generators for every $\lambda\in\mathrm{pcf}_I(A)$ under some assumptions on $I$. Our main theorem is that we can also generalize ... More

A Conversational Interface to Improve Medication Adherence: Towards AI Support in Patient's TreatmentMar 03 2018Medication adherence is of utmost importance for many chronic conditions, regardless of the disease type. Engaging patients in self-tracking their medication is a big challenge. One way to potentially reduce this burden is to use reminders to promote ... More

Calderón's reproducing formulas for the Weinstein $L^2$- multiplier operatorsJan 27 2018The aim of this work is the study of the Weinstein $L^2$- multiplier operators on $\mathbb{R}^{d+1}_+$ and we give for them Calder\'on's reproducing formulas and best approximation using the theory of Weinstein transform and reproducing kernels.

First Measurement of $Γ(D*+)$Aug 07 2001We present the first measurement of the D*+ width using 9/fb of e+e- data collected near the Upsilon(4S) resonance by the CLEO II.V detector. Our method uses advanced tracking techniques and a reconstruction method that takes advantage of the small vertical ... More

Temperature dependent quantum correlations in three dipolar coupled two-level atomsNov 18 2016We investigate the thermal entanglement characteristics of three dipole-coupled two-level atoms arranged in two different configurations - in a line with nearest neighbour coupling and in a closed loop with each atom interacting with both its neighbours. ... More

QCD Radiative Corrections to Higgs PhysicsApr 04 2017The central part of this thesis deals with the quantum chromodynamics (QCD) radiative corrections to some important observables associated with the Drell-Yan, scalar and pseudo-scalar Higgs boson productions at next-to-next-to-next-to-leading order (N$^{3}$LO) ... More

A splitting-based domain decomposition method for immiscible two-phase flow in porous media with different rock typesJun 08 2019In this paper, we are concerned with the global pressure formulation of immiscible incompressible two-phase flow between different rock types. The aim is to develop for this problem a robust algorithm based on domain decomposition methods and operator ... More

Some recent results of the CODALEMA experimentNov 14 2012Codalema is one of the experiments devoted to the detection of ultra high energy cosmic rays by the radio method. The main objective is to study the features of the radio signal induced by the development in the atmosphere of extensive air showers (EAS) ... More

Optimal Selection of Spectrum Sensing Duration for an Energy Harvesting Cognitive RadioSep 25 2013In this paper, we consider a time-slotted cognitive radio (CR) setting with buffered and energy harvesting primary and CR users. At the beginning of each time slot, the CR user probabilistically chooses the spectrum sensing duration from a predefined ... More

All-Digital Self-interference Cancellation Technique for Full-duplex SystemsJun 20 2014Full-duplex systems are expected to double the spectral efficiency compared to conventional half-duplex systems if the self-interference signal can be significantly mitigated. Digital cancellation is one of the lowest complexity self-interference cancellation ... More

Ordered Counter-AbstractionMar 31 2012We introduce a new symbolic representation based on an original generalization of counter abstraction. Unlike classical counter abstraction (used in the analysis of parameterized systems with unordered or unstructured topologies) the new representation ... More

New features of scattering from a one-dimensional non-Hermitian (complex) potentialOct 20 2011Dec 21 2011For complex one-dimensional potentials, we propose the asymmetry of both reflectivity and transmitivity under time-reversal: $R(-k)\ne R(k)$ and $T(-k) \ne T(k)$, unless the potentials are real or PT-symmetric. For complex PT-symmetric scattering potentials, ... More

Intelligent Human Machine Interface Design for Advanced Product Life Cycle Management SystemsAug 07 2010Designing and implementing an intelligent and user friendly human machine interface for any kind of software or hardware oriented application is always be a challenging task for the designers and developers because it is very difficult to understand the ... More

Statistical Trading Using Target Oriented Trading AgentAug 07 2010In this article we briefly present our contributions toward Trading Agent Competition (TAC); an international forum for promotion of research into the trading agent problems. Moreover, we present some strategies proposed and used in the development of ... More

Zero width resonance (spectral singularity) in a complex PT-symmetric potentialAug 20 2009We show that the complex PT-Symmetric potential, $V(x)=-V_1 {sech}^2x + iV_2 {sech}x ~\tanh x, $, entails a single zero-width resonance (spectral singularity) when $V_1+|V_2|=4n^2+4n+{3\over 4}(n=1,2,3.., |V_2|>|V_1|+ {{sgn}(V_1) \over 4})$ and the positive ... More

An ansatz for the eigenstates in PT-symmetric quantum mechanicsAug 10 2006We suggest a general ansatz for the energy-eigenstates when a complex one-dimensional PT-symmetric potential possesses real discrete spectrum. Several interesting features of PT-symmetric quantum mechanics have been brought out using this ansatz.

Handedness of complex PT-symmetric potential barriersDec 18 2003Generally, when imaginary part of an optical potential is non-symmetric the reflectivity, $R(E)$, shows left/right handedness, further if it is not negative-definite the reflection and transmission, $T(E)$, coefficients become anomalous in some energy ... More

Database Manipulation on Quantum ComputersMay 29 2007Manipulating a database system on a quantum computer is an essential aim to benefit from the promising speed-up of quantum computers over classical computers in areas that take a vast amount of storage and processing time such as in databases. In this ... More

Origin of the numeralsJun 27 2006Jul 03 2006Through the pagination of an Arabian Algerian manuscript of the beginning of the 19th century, we rediscover the original shape, the "Ghubari" shape, of the numerals. Contrary to some assumptions, particularly those which claim that they are derived from ... More

The Great Season Climatic OscillationJan 24 2007Feb 12 2007The variations of water density and thermal conductivity of the oceans cold region waters according to their salinity lead to suggest an hypothesis of an oscillating climate between two extreme positions: a maximum of hot temperatures and a minimum of ... More

Scheduling and Power Allocation to Optimize Service and Queue-Waiting Times in Cognitive Radio UplinksJan 04 2016In this report, we study the packet delay as a QoS metric in CR systems. The packet delay includes the queue waiting time and the service time. In this work, we study the effect of both the scheduling and the power allocation algorithms on the delay performance ... More

Integer Quantum Hall Effect in GrapheneApr 24 2015We study the quantum Hall effect in a monolayer graphene by using an approach based on thermodynamical properties. This can be done by considering a system of Dirac particles in an electromagnetic field and taking into account of the edges effect as a ... More

Ahmed's Integral: the maiden solutionNov 19 2014Dec 01 2014In 2001-2002, I happened to have proposed a new definite integral in the American Mthematical Monthly (AMM),which later came to be known in my name (Ahmed). In the meantime, this integral has been mentioned in mathematical encyclopedias and dictionaries ... More

Quasihomogeneous Polynomials with Isomorphic Milnor AlgebrasSep 29 2009Mar 24 2010In Theorem 5.2 we show that two quasihomogeneous polynomials $f$ and $g$ having isomorphic Milnor algebras are right-equivalent.

A Review of Empirical Applications on Food Waste Prevention & ManagementMar 12 2018Food waste has a significant detrimental economic, environmental and social impact. Recent efforts in HCI re-search have examined ways of influencing surplus food waste management. In this paper, we conduct a research survey to investigate and compare ... More

Cosmic deceleration-acceleration transition in Swiss-cheese Brane-worldsApr 23 2019Two different Brane-world cosmologies with black strings have been introduced for any cosmological constant $\Lambda$ using two empirical forms of the scale factor. In both of them, we have performed the fine-tuning between the brane tension and the cosmological ... More

A Type D Non-Vacuum Spacetime with Causality Violating Curves, and its Physical InterpretationDec 04 2017We present a topologically trivial, non-vacuum solution of the Einstein's field equations in four-dimensions, which is regular everywhere. The metric admits circular closed timelike curves, which appear beyond the null curve, and these timelike curves ... More

Predictive Capacity of Meteorological Data - Will it rain tomorrowSep 16 2014With the availability of high precision digital sensors and cheap storage medium, it is not uncommon to find large amounts of data collected on almost all measurable attributes, both in nature and man-made habitats. Weather in particular has been an area ... More

Charged Higgs Observability in the s-channel Single top Production at LHCNov 20 2017Single top quark production through weak interactions is one of the important source of charged Higgs in the Minimal Supersymmetric Standard Model (MSSM). In the s-channel single top production having largest cross-section, a charged Higgs may appear ... More

Sources of Charged Higgs Pair Through Double or Triple Higgs Production in Two Higgs Doublet Model Type II at Linear CollidersFeb 23 2015Dec 05 2016The production of triple Higgs $(H^+H^-H^0)$, $(H^+H^-h^0)$ and pair wise charged Higgs boson $(H^+H^-)$ is studied in the context of future linear colliders within the Two-Higgs Doublet Model (2HDM) type II. The aim is to compare sources of charged Higgs ... More

Implication of the Fourth Generation Standard Model to the Lepton Polarization asymmetries in the $B\rightarrow K^{\ast}\ell^{+}\ell^{-}$ DecayAug 02 2012Aug 11 2012In this work we study the implication of the fourth generation standard model (SM4) to the single and double lepton polarization asymmetries in the $B\rightarrow K^{\ast}\ell^{+}\ell^{-}$, $(l=\mu,\tau)$ decay. To see the variation in the values of lepton ... More

SpinWaves in Ferromagnetic Dots 2D Honeycomb Lattice StripesOct 26 2011In this work, the spin wave calculations were carried out using the Heisenberg Hamiltonian to study the allowed spin waves of zigzag and armchair edged stripes for ferromagnetic nanodots arrayed in a 2D honeycomb lattice \cite{Selim2011}. The Hamiltonian ... More

Classification of 3-Dimensional BiHom-Associative and BiHom-BialgebrasJun 28 2019The purpose of this paper is to study the structure and the algebraic varieties of BiHom-associative algebras. We provide a classication of n-dimensional BiHom-associative and BiHom-bialgebras and BiHom Hopf algebras for n $\le$ 3.

Heavy Higgs of the Twin Higgs ModelsNov 08 2017Feb 22 2018Twin Higgs models are the prime illustration of neutral naturalness, where the new particles of the twin sector, gauge singlets of the Standard Model (SM), ameliorate the little hierarchy problem. In this work, we analyse phenomenological implications ... More

Rare B-Meson Decays at the CrossroadsJul 17 2016Experimental era of rare $B$-decays started with the measurement of $B \to K^* \gamma$ by CLEO in 1993, followed two years later by the measurement of the inclusive decay $B \to X_s \gamma$, which serves as the standard candle in this field. The frontier ... More

Theory Overview on SpectroscopyAug 10 2011A theoretical overview of the exotic spectroscopy in the charm and beauty quark sector is presented. These states are unexpected harvest from the $e^+e^-$ and hadron colliders and a permanent abode for the majority of them has yet to be found. We argue ... More

Rare Radiative $B$ Decays in the Standard ModelAug 21 1995A status report on the theory and phenomenology of rare radiative $B$ decays in the standard model is presented with emphasis on the measured decays $B \to X_s \gamma$ and $B \to K^* \gamma$. Standard model is in agreement with experiments though this ... More

Statistical Romberg extrapolation: A new variance reduction method and applications to option pricingFeb 23 2006We study the approximation of $\mathbb{E}f(X_T)$ by a Monte Carlo algorithm, where $X$ is the solution of a stochastic differential equation and $f$ is a given function. We introduce a new variance reduction method, which can be viewed as a statistical ... More

Weighted Homogeneous Polynomials with Isomorphic Milnor AlgebrasSep 29 2009Apr 06 2019We recall first some basic facts on weighted homogeneous functions and filtrations in the ring $A$ of formal power series. We introduce next their analogues for weighted homogeneous diffeomorphisms and vector fields. We show that the Milnor algebra is ... More

Homogeneous Polynomials with Isomorphic Milnor AlgebrasMay 25 2008In Theorem 3.2 we show that two homogeneous polynomials $f$ and $g$ having isomorphic Milnor algebras are right-equivalent.

Deviation from Tri-Bimaximal Mixing and Large Reactor Mixing AngleNov 13 2011Jul 11 2013Recent observations for a non-zero $\theta_{13}$ have come from various experiments. We study a model of lepton mixing with a 2-3 flavor symmetry to accommodate the sizable $\theta_{13}$ measurement. In this work, we derive deviations from the tri-bimaximal ... More

Proposing LT based Search in PDM Systems for Better Information RetrievalFeb 09 2011PDM Systems contain and manage heavy amount of data but the search mechanism of most of the systems is not intelligent which can process user"s natural language based queries to extract desired information. Currently available search mechanisms in almost ... More

Fixed Phase Quantum Search AlgorithmApr 12 2007Oct 15 2007Building quantum devices using fixed operators is a must to simplify the hardware construction. Quantum search engine is not an exception. In this paper, a fixed phase quantum search algorithm that searches for M matches in an unstructured search space ... More

Hiding Quantum States in a SuperpositionJul 29 2008A method to hide certain quantum states in a superposition will be proposed. Such method can be used to increase the security of a communication channel. States represent an encrypted message will disappear during data exchange. This makes the message ... More

Tight Bounds on the Synthesis of 3-bit Reversible Circuits: NFT LibraryApr 21 2013Apr 25 2013The reversible circuit synthesis problem can be reduced to permutation group. This allows Schreier-Sims Algorithm for the strong generating set-finding problem to be used to find tight bounds on the synthesis of 3-bit reversible circuits using the NFT ... More

A Bounded-error Quantum Polynomial Time Algorithm for Two Graph Bisection ProblemsMay 23 2015The aim of the paper is to propose a bounded-error quantum polynomial time (BQP) algorithm for the max-bisection and the min-bisection problems. The max-bisection and the min-bisection problems are fundamental NP-hard problems. Given a graph with even ... More

Fine Selmer Groups, Heegner points and Anticyclotomic $\mathbb{Z}_p$-extensionsMar 22 2015Let $E/\mathbb{Q}$ be an elliptic curve, $p$ a prime and $K_{\infty}/K$ the anticyclotomic $\mathbb{Z}_p$-extension of a quadratic imaginary field $K$ satisfying the Heegner hypothesis. In this paper we make a conjecture about the fine Selmer group over ... More

Beyond Patient Monitoring: Conversational Agents Role in Telemedicine & Healthcare Support For Home-Living Elderly IndividualsMar 03 2018There is a need for systems to dynamically interact with ageing populations to gather information, monitor health condition and provide support, especially after hospital discharge or at-home settings. Several smart devices have been delivered by digital ... More

Towards Automatic & Personalised Mobile Health Interventions: An Interactive Machine Learning PerspectiveMar 03 2018Machine learning (ML) is the fastest growing field in computer science and healthcare, providing future benefits in improved medical diagnoses, disease analyses and prevention. In this paper, we introduce an application of interactive machine learning ... More

Axially Symmetric Null dust Spacetime, Naked Singularity and Cosmic Time MachineMay 16 2017In this article, we present a gravitational collapse null dust solution of the Einstein field equations. The spacetime is regular everywhere except on the symmetry axis where it possesses a naked curvature singularity, and admits one parameter isometry ... More

Cylindrically symmetric, Asymptotically flat, Petrov Type D spacetime with a Naked Curvature Singularity and Matter CollapseMar 01 2017We present a cylindrically symmetric, Petrov type D, nonexpanding, shear free and vorticity free solution of Einstein's field equations. The spacetime is asymptotically flat radially and regular everywhere except on the symmetry axis where it possesses ... More