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Long-Range Indoor Navigation with PRM-RLFeb 25 2019Long-range indoor navigation requires guiding robots with noisy sensors and controls through cluttered environments along paths that span a variety of buildings. We achieve this with PRM-RL, a hierarchical robot navigation method in which reinforcement ... More

Evolving Rewards to Automate Reinforcement LearningMay 18 2019Many continuous control tasks have easily formulated objectives, yet using them directly as a reward in reinforcement learning (RL) leads to suboptimal policies. Therefore, many classical control tasks guide RL training using complex rewards, which require ... More

Deep Neural Networks for Swept Volume Prediction Between ConfigurationsMay 29 2018Swept Volume (SV), the volume displaced by an object when it is moving along a trajectory, is considered a useful metric for motion planning. First, SV has been used to identify collisions along a trajectory, because it directly measures the amount of ... More

MPDCompress - Matrix Permutation Decomposition Algorithm for Deep Neural Network CompressionMay 30 2018Deep neural networks (DNNs) have become the state-of-the-art technique for machine learning tasks in various applications. However, due to their size and the computational complexity, large DNNs are not readily deployable on edge devices in real-time. ... More

Learning Navigation Behaviors End-to-End with AutoRLSep 26 2018Feb 01 2019We learn end-to-end point-to-point and path-following navigation behaviors that avoid moving obstacles. These policies receive noisy lidar observations and output robot linear and angular velocities. The policies are trained in small, static environments ... More

PEARL: PrEference Appraisal Reinforcement Learning for Motion PlanningNov 30 2018Robot motion planning often requires finding trajectories that balance different user intents, or preferences. One of these preferences is usually arrival at the goal, while another might be obstacle avoidance. Here, we formalize these, and similar, tasks ... More

Learning to Navigate the WebDec 21 2018Learning in environments with large state and action spaces, and sparse rewards, can hinder a Reinforcement Learning (RL) agent's learning through trial-and-error. For instance, following natural language instructions on the Web (such as booking a flight ... More

Resilient Computing with Reinforcement Learning on a Dynamical System: Case Study in SortingSep 25 2018Robots and autonomous agents often complete goal-based tasks with limited resources, relying on imperfect models and sensor measurements. In particular, reinforcement learning (RL) and feedback control can be used to help a robot achieve a goal. Taking ... More

The Gorenstein property for projective coordinate rings of rank $2$ parabolic vector bundles on a smooth curveJun 01 2016We study the Hilbert function of a projective coordinate ring of a moduli space $M_{C, \vec{p}}(\vec{\alpha})$ of rank $2$ vector bundles with parabolic structure on a marked projective curve. Using combinatorial methods we determine that this algebra ... More

Air Learning: An AI Research Platform for Algorithm-Hardware Benchmarking of Autonomous Aerial RobotsJun 02 2019Jun 09 2019We introduce Air Learning, an AI research platform for benchmarking algorithm-hardware performance and energy efficiency trade-offs. We focus in particular on deep reinforcement learning (RL) interactions in autonomous unmanned aerial vehicles (UAVs). ... More

Lyapunov-based Safe Policy Optimization for Continuous ControlJan 28 2019Feb 11 2019We study continuous action reinforcement learning problems in which it is crucial that the agent interacts with the environment only through safe policies, i.e.,~policies that do not take the agent to undesirable situations. We formulate these problems ... More

RL-RRT: Kinodynamic Motion Planning via Learning Reachability Estimators from RL PoliciesJul 10 2019Jul 12 2019This paper addresses two challenges facing sampling-based kinodynamic motion planning: a way to identify good candidate states for local transitions and the subsequent computationally intractable steering between these candidate states. Through the combination ... More

MAVBench: Micro Aerial Vehicle BenchmarkingMay 15 2019Jun 01 2019Unmanned Aerial Vehicles (UAVs) are getting closer to becoming ubiquitous in everyday life. Among them, Micro Aerial Vehicles (MAVs) have seen an outburst of attention recently, specifically in the area with a demand for autonomy. A key challenge standing ... More

FollowNet: Robot Navigation by Following Natural Language Directions with Deep Reinforcement LearningMay 16 2018Understanding and following directions provided by humans can enable robots to navigate effectively in unknown situations. We present FollowNet, an end-to-end differentiable neural architecture for learning multi-modal navigation policies. FollowNet maps ... More

RL-RRT: Kinodynamic Motion Planning via Learning Reachability Estimators from RL PoliciesJul 10 2019This paper addresses two challenges facing sampling-based kinodynamic motion planning: a way to identify good candidate states for local transitions and the subsequent computationally intractable steering between these candidate states. Through the combination ... More

PRM-RL: Long-range Robotic Navigation Tasks by Combining Reinforcement Learning and Sampling-based PlanningOct 11 2017May 16 2018We present PRM-RL, a hierarchical method for long-range navigation task completion that combines sampling based path planning with reinforcement learning (RL). The RL agents learn short-range, point-to-point navigation policies that capture robot dynamics ... More

Computational Theory of a splitting BEC using a Generalized Wannier basis I: Theory and StaticsAug 02 2010Nov 24 2010We investigate the behavior of a Bose-Einstein Condensate (BEC) under the influence of a central barrier as the particle number trends towards the thermodynamic limit. In order to perform these studies, we present a novel method which is tractable in ... More

DimReader: Axis lines that explain non-linear projectionsOct 03 2017Jul 31 2018Non-linear dimensionality reduction (NDR) methods such as LLE and t-SNE are popular with visualization researchers and experienced data analysts, but present serious problems of interpretation. In this paper, we present DimReader, a technique that recovers ... More

Topological complexity of the telescopeMay 23 2011Dec 16 2011We use an alternative definition of topological complexity to show that the topological complexity of the mapping telescope of a sequence $X_1\rightarrow X_2\rightarrow X_3\rightarrow...$ is bounded above by $2max{TC(X_i); i=1,2,...}$.

Quaternion-Kähler manifolds near maximal fixed points sets of $S^1$-symmetriesApr 17 2019Using quaternionic Feix--Kaledin construction we provide a local classification of quaternion-K\"ahler metrics with a rotating $S^1$-symmetry with the fixed point set submanifold $S$ of maximal possible dimension. For any K\"ahler manifold $S$ equipped ... More

MAVBench: Micro Aerial Vehicle BenchmarkingMay 15 2019Unmanned Aerial Vehicles (UAVs) are getting closer to becoming ubiquitous in everyday life. Among them, Micro Aerial Vehicles (MAVs) have seen an outburst of attention recently, specifically in the area with a demand for autonomy. A key challenge standing ... More

Convergence of quantum random variables and probabilistic entanglement detectionSep 06 2016In this letter we study the weak-convergence properties of random variables generated by unsharp quantum measurements. More precisely, for a sequence of random variables generated by repeated unsharp quantum measurements, we study the limit distribution ... More

Mappings into the Stiefel manifold and cross-cap singularitiesJul 17 2015Sep 14 2015Take n>k>1 such that n-k is odd. In this paper we consider mapping a from (n-k+1)-dimensional closed ball into the space of (n \times k)--matrices such that its restriction to a sphere goes into the Stiefel manifold V_k(R^n). We construct a homotopy invariant ... More

Nonlinear Switching Dynamics in a Nanomechanical ResonatorSep 21 2009The oscillatory response of nonlinear systems exhibits characteristic phenomena such as multistability, discontinuous jumps and hysteresis. These can be utilized in applications leading, e.g., to precise frequency measurement, mixing, memory elements, ... More

C-projective symmetries of submanifolds in quaternionic geometryJan 22 2018The generalized Feix--Kaledin construction shows that c-projective $2n$-manifolds with curvature of type $(1,1)$ are precisely the submanifolds of quaternionic $4n$-manifolds which are fixed points set of a special type of quaternionic $S^1$ action $v$. ... More

Intersection number of a map with the set of matrices of positive corankMay 29 2019The definition of the intersection number of a map with a closed manifold can be extended to the case of a closed stratified set such that the difference between dimensions of its two biggest strata is greater than $1$. The set Sigma of matrices of positive ... More

Every symplectic toric orbifold is a centered reduction of a Cartesian product of weighted projective spacesJan 28 2014May 14 2015We prove that every symplectic toric orbifold is a centered reduction of a Cartesian product of weighted projective spaces. A theorem of Abreu and Macarini shows that if the level set of the reduction passes through a non-displaceable set then the image ... More

Damping of Nanomechanical ResonatorsMar 09 2010We study the transverse oscillatory modes of nanomechanical silicon nitride strings under high tensile stress as a function of geometry and mode index m <= 9. Reproducing all observed resonance frequencies with classical elastic theory we extract the ... More

On the extremal extensions of a non-negative Jacobi operatorJan 23 2017We consider minimal non-negative Jacobi operator with $p\times p-$matrix entries. Using the technique of boundary triplets and the corresponding Weyl functions, we describe the Friedrichs and Krein extensions of the minimal Jacobi operator. Moreover, ... More

The Lelek fan and the Poulsen simplex as Fraïssé limitsDec 31 2015Apr 13 2016We describe the Lelek fan, a smooth fan whose set of end-points is dense, and the Poulsen simplex, a Choquet simplex whose set of extreme points is dense, as Fra\"{i}ss\'e limits in certain natural categories of embeddings and projections. As an application ... More

Gowers' Ramsey Theorem with multiple operations and dynamics of the homeomorphism group of the Lelek fanNov 19 2014Aug 27 2015We generalize the finite version of Gowers' Ramsey theorem to multiple tetris-like operations and apply it to show that a group of homeomorphisms that preserve a "typical" linear order of branches of the Lelek fan, a compact connected metric space with ... More

The Role of Compute in Autonomous Aerial VehiclesJun 24 2019Autonomous-mobile cyber-physical machines are part of our future. Specifically, unmanned-aerial-vehicles have seen a resurgence in activity with use-cases such as package delivery. These systems face many challenges such as their low-endurance caused ... More

Crystal field influence on thermal conductivity of rare-earth metallic paramagnetsMay 06 2015Contribution to thermal conductivity from conduction electron scattering on crystal field magnetic excitations is calculated and analyzed for normal rare-earth inter-metallic paramagnets. It is shown that in temperatures much lower than Debye temperature ... More

Market fragmentation and market consolidation: multiple steady states in systems of adaptive traders choosing where to tradeFeb 18 2019Technological progress is leading to proliferation and diversification of trading venues, thus increasing the relevance of the long-standing question of market fragmentation versus consolidation. To address this issue quantitatively, we analyse systems ... More

The Lelek fan and the Poulsen simplex as Fraïssé limitsDec 31 2015Dec 18 2016We describe the Lelek fan, a smooth fan whose set of end-points is dense, and the Poulsen simplex, a Choquet simplex whose set of extreme points is dense, as Fra\"{i}ss\'e limits in certain natural categories of embeddings and projections. As an application ... More

Sensing the Earth's low ionosphere during solar flares using VLF signals and GOES X-ray dataMay 16 2014An analysis of D-region electron density height profile variations, induced by four isolated solar X-ray flares during period from September 2005 to December 2006, based on the amplitude and the phase delay perturbation of 22.1 kHz signal trace from Skelton ... More

Spaces with high topological complexityApr 23 2012Oct 23 2012By a formula of Farber the topological complexity TC(X) of a (p-1)-connected, m-dimensional CW-complex X is bounded above by (2m+1)/p+1. There are also various lower estimates for TC(X) such as the nilpotency of the ring $H^*(X\times X,\Delta(X))$, and ... More

Lower bounds for topological complexityOct 31 2011Apr 20 2013We introduce fibrewise Whitehead- and fibrewise Ganea definitions of monoidal topological complexity. We then define several lower bounds for the topological complexity, which improve on the standard lower bound in terms of nilpotency of the cohomology ... More

Universal minimal flow of the homeomorphism group of the Lelek fanJun 28 2017We compute the universal minimal flow of the homeomorphism group of the Lelek fan -- a one-dimensional tree-like continuum with many symmetries.

Open Platforms for Artificial Intelligence for Social Good: Common Patterns as a Pathway to True ImpactMay 27 2019The AI for social good movement has now reached a state in which a large number of one-off demonstrations have illustrated that partnerships of AI practitioners and social change organizations are possible and can address problems faced in sustainable ... More

Frequency landscape of tip-growing plantsJun 01 2015Jul 28 2015It has been interesting that nearly all of the ion activities that have been analysed thus far have exhibited oscillations that are tightly coupled to growth. Here, we present discrete Fourier transform (DFT) spectra with a finite sampling of tip-growing ... More

Counterexamples for Cohen-Macaulayness of Lattice IdealsApr 10 2018Let $\mathscr{L}\subset \mathbb{Z}^n$ be a lattice, $I$ its corresponding lattice ideal, and $J$ the toric ideal arising from the saturation of $\mathscr{L}$. We produce infinitely many examples, in every codimension, of pairs $I,J$ where one of these ... More

The Gibbons--Tsarev equation: symmetries, invariant solutions, and applicationsFeb 05 2016In this paper we present the full classification of the symmetry-invariant solutions for the Gibbons--Tsarev equation. Then we use these solutions to construct explicit expressions for reductions of Benney's moments equations, to get solutions of Pavlov's ... More

Effective diffusion rates and cross-correlation analysis of "acid growth" dataAug 03 2015We investigated the growth-temperature relationship in plants using a quantitative perspective of a recently derived growth functional. We showed that auxin-induced growth is achieved by the diffusion rate, which is almost constant or slowly ascending ... More

Resilience of modular complex networksApr 18 2014Complex networks often have a modular structure, where a number of tightly- connected groups of nodes (modules) have relatively few interconnections. Modularity had been shown to have an important effect on the evolution and stability of biological networks, ... More

Frequency and Q-factor control of nanomechanical resonatorsJul 10 2012We present an integrated scheme for dielectric drive and read-out of high-Q nanomechanical resonators which enables tuning of both the resonance frequency and quality factor with an applied DC voltage. A simple model for altering these quantities is derived, ... More

Circuit Electromechanics with a Non-Metallized NanobeamJul 25 2014Jul 28 2014We have realized a nano-electromechanical hybrid system consisting of a silicon nitride beam dielectrically coupled to a superconducting microwave resonator. We characterize the sample by making use of the Duffing nonlinearity of the strongly driven beam. ... More

Information transmission in genetic regulatory networks: a reviewJan 21 2011Genetic regulatory networks enable cells to respond to the changes in internal and external conditions by dynamically coordinating their gene expression profiles. Our ability to make quantitative measurements in these biochemical circuits has deepened ... More

Assessment of saddle-point-mass predictions for astrophysical applicationsJul 01 2005Using available experimental data on fission barriers and ground-state masses, a detailed study on the predictions of different models concerning the isospin dependence of saddle-point masses is performed. Evidence is found that several macroscopic models ... More

The space of compatible full conditionals is a unimodular toric varietyMay 04 2004The set of all m-tuples of compatible full conditional distributions on discrete random variables is an algebraic set whose defining ideal is a unimodular toric ideal. We identify the defining polynomials of these ideals with closed walks on a bipartite ... More

An introduction to hyperlinear and sofic groupsNov 22 2009Apr 24 2012This is an edited write-up of lecture notes of the 7-th Appalachian set theory workshop of the same title led by the first named author at the Cornell University on November 22, 2008. A draft version of the notes was prepared by the second named author. ... More

Toward Free Resolutions Over ScrollsMar 08 2019Let $R = k[x]/I$ where $I$ is the defining ideal of a rational normal $k$-scroll. We compute the Betti numbers of the ground field $\mathbb{k}$ as a module over $R$. For $k = 2$, we give the minimal free resolution of $\mathbb{k}$ over $R$.

Long-term Compliance Habits: What Early Data Tells UsApr 11 2018The rise in popularity of physical activity trackers provides extensive opportunities for research on personal health, however, barriers such as compliance attrition can lead to substantial losses in data. As such, insights into student's compliance habits ... More

Finite time Stückelberg interferometry with nanomechanical modesSep 16 2016St\"uckelberg interferometry describes the interference of two strongly coupled modes during a double passage through an avoided energy level crossing. In this work, we experimentally investigate finite time effects in St\"uckelberg interference and provide ... More

Classical Stückelberg interferometry of a nanomechanical two-mode system at room temperatureFeb 02 2016Jul 01 2016The transition from classical to quantum mechanics has intrigued scientists in the past and remains one of the most fundamental conceptual challenges in state-of-the-art physics. Beyond the quantum mechanical correspondence principle, quantum-classical ... More

Beyond Volume: The Impact of Complex Healthcare Data on the Machine Learning PipelineJun 01 2017Jan 26 2018From medical charts to national census, healthcare has traditionally operated under a paper-based paradigm. However, the past decade has marked a long and arduous transformation bringing healthcare into the digital age. Ranging from electronic health ... More

Signatures of two-level defects in the temperature-dependent damping of nanomechanical silicon nitride resonatorsOct 14 2013The damping rates of high quality factor nanomechanical resonators are well beyond intrinsic limits. Here, we explore the underlying microscopic loss mechanisms by investigating the temperature-dependent damping of the fundamental and third harmonic transverse ... More

Non-adiabatic dynamics of two strongly coupled nanomechanical resonator modesJan 19 2012May 04 2012The Landau-Zener transition is a fundamental concept for dynamical quantum systems and has been studied in numerous fields of physics. Here we present a classical mechanical model system exhibiting analogous behaviour using two inversely tuneable, strongly ... More

Microwave cavity-enhanced transduction for plug and play nanomechanics at room temperatureSep 06 2011Dec 27 2011Nanomechanical resonators with increasingly high quality factors are enabled following recent insights into energy storage and loss mechanisms in nanoelectromechanical systems (NEMS). Consequently, efficient, non-dissipative transduction schemes are required ... More

Leading Digits of Mersenne NumbersDec 12 2017Oct 27 2018It has long been known that sequences such as the powers of $2$ and the factorials satisfy Benford's Law; that is, leading digits in these sequences occur with frequencies given by $P(d)=\log_{10}(1+1/d)$, $d=1,2,\dots,9$. In this paper, we consider the ... More

Hunchback promoters can readout morphogenetic positional information in less than a minuteJun 19 2019The first cell fate decisions in the developing fly embryo are made very rapidly : hunchback genes decide in a few minutes whether a given nucleus follows the anterior or the posterior developmental blueprint by reading out the positional information ... More

Kinematics and Structure of Star-forming Regions: Insights from Cold Collapse ModelsSep 22 2017The origin of the observed morphological and kinematic substructure of young star forming regions is a matter of debate. We offer a new analysis of data from simulations of globally gravitationally collapsing clouds of progenitor gas to answer questions ... More

Noise-immune cavity-enhanced optical frequency comb spectroscopy: A sensitive technique for high-resolution broadband molecular detectionOct 31 2014Noise-immune cavity-enhanced optical frequency comb spectroscopy (NICE-OFCS) is a recently developed technique that utilizes phase modulation to obtain immunity to frequency-to-amplitude noise conversion by the cavity modes and yields high absorption ... More

Projective geometry and the quaternionic Feix-Kaledin constructionDec 23 2015Jan 04 2019Starting from a complex manifold S with a real-analytic c-projective structure whose curvature has type (1,1), and a complex line bundle L with a connection whose curvature has type (1,1), we construct the twistor space Z of a quaternionic manifold M ... More

Fluctuation-induced potential for an impurity in a semi-infinite one-dimensional Bose gasJul 04 2019We consider an impurity in a semi-infinite one-dimensional system of weakly-interacting bosons. We calculate the interaction potential for the impurity due to the end of the system, i.e., the wall. For local repulsive (attractive) interaction between ... More

Asymptotic state lumping in transport and diffusion problems on networksMar 02 2015One of the aims of systems biology is to build multiple layered and multiple scale models of living systems which can efficiently describe phenomena occurring at various level of resolution. Such models should consist of layers of various microsystems ... More

Combining Slater-type orbitals and effective core potentialsApr 11 2017Apr 20 2017We present a general methodology to evaluate matrix elements of the effective core potentials (ECPs) within one-electron basis set of Slater-type orbitals (STOs). The scheme is based on translation of individual STO distributions in the framework of Barnett-Coulson ... More

On transformations of A-hypergeometric functionsMar 08 2017We propose a systematic study of transformations of $A$-hypergeometric functions. Our approach is to apply changes of variables corresponding to automorphisms of toric rings, to Euler-type integral representations of $A$-hypergeometric functions. We show ... More

Projective geometry and the quaternionic Feix-Kaledin constructionDec 23 2015Starting from a complex manifold S with a real-analytic c-projective structure whose curvature has type (1,1), and a complex line bundle L with a connection whose curvature has type (1,1), we construct the twistor space Z of a quaternionic manifold M ... More

Quasiparticle decay in a one-dimensional Bose-Fermi mixtureNov 03 2016In a one-dimensional weakly interacting Bose-Fermi mixture one branch of elementary excitations is well described by the Bogoliubov spectrum. Here we use the microscopic theory to study the decay of such quasiparticle excitations. The main scattering ... More

On properties of Bourgeois contact structuresJan 03 2018Sep 10 2018The Bourgeois construction associates to every contact open book on a manifold $V$ a contact structure on $V\times T^2$. We study in this article some of the properties of $V$ that are inherited by $V\times T^2$ and some that are not. Giroux has provided ... More

Transition moments between excited electronic states from the Hermitian formulation of the coupled cluster quadratic response functionSep 30 2016We introduce a new method for the computation of the transition moments between the excited electronic states based on the expectation value formalism of the coupled cluster theory [B. Jeziorski and R. Moszynski, Int. J. Quant. Chem. 48, 161 (1993)]. ... More

Some properties of the Bourgeois contact structuresJan 03 2018The Bourgeois construction associates to every contact open book on a manifold $V$ a contact structure on $V\times T^2$. We study in this article some of the properties of $V$ that are inherited by $V\times T^2$ and some that are not. Giroux has provided ... More

Transition moments between excited electronic states from the Hermitian formulation of the coupled cluster quadratic response functionSep 30 2016Jan 31 2017We introduce a new method for the computation of the transition moments between the excited electronic states based on the expectation value formalism of the coupled cluster theory [B. Jeziorski and R. Moszynski, Int. J. Quant. Chem. 48, 161 (1993)]. ... More

Signatures of star cluster formation by cold collapseOct 28 2015Nov 13 2015Sub-virial gravitational collapse is one mechanism by which star clusters may form. Here we investigate whether this mechanism can be inferred from observations of young clusters. To address this question, we have computed SPH simulations of the initial ... More

Trade-offs in delayed information transmission in biochemical networksApr 14 2015In order to transmit biochemical signals, biological regulatory systems dissipate energy with concomitant entropy production. Additionally, signaling often takes place in challenging environmental conditions. In a simple model regulatory circuit given ... More

Surface Energetics of Alkaline-Earth Metal Oxides: Trends in Stability and Adsorption of Small MoleculesDec 20 2014Mar 21 2015We present a systematic theoretical investigation of the surface properties, stability and reactivity, of rock-salt type alkaline-earth metal oxides including MgO, CaO, SrO, and BaO. The accuracy of commonly used exchange-correlation density functionals ... More

Differentially Private Exponential Random GraphsSep 16 2014Apr 15 2015We propose methods to release and analyze synthetic graphs in order to protect privacy of individual relationships captured by the social network. Proposed techniques aim at fitting and estimating a wide class of exponential random graph models (ERGMs) ... More

Multi-Scalar-Singlet Extension of the Standard Model - the Case for Dark Matter and an Invisible Higgs BosonDec 12 2011Jul 31 2012We consider a simple extension of the Standard Model by the addition of N real scalar gauge singlets $\vp$ that are candidates for Dark Matter. By collecting theoretical and experimental constraints we determine the space of allowed parameters of the ... More

Personalized Social Recommendations - Accurate or Private?May 21 2011With the recent surge of social networks like Facebook, new forms of recommendations have become possible - personalized recommendations of ads, content, and even new friend and product connections based on one's social interactions. Since recommendations ... More

Atomic and molecular adsorption on transition-metal carbide (111) surfaces from density-functional theory: A trend study of surface electronic factorsMay 04 2010This study explores atomic and molecular adsorption on a number of early transition-metal carbides (TMC's) by means of density-functional theory calculations. Trend studies are conducted with respect to both period and group in the periodic table, choosing ... More

Bayesian analysis of the backreaction modelsNov 27 2008Apr 29 2010We present the Bayesian analysis of four different types of backreation models, which are based on the Buchert equations. In this approach, one considers a solution to the Einstein equations for a general matter distribution and then an average of various ... More

Constraints on oscillating dark energy modelsJul 02 2007Nov 23 2007The oscillating scenario of route to Lambda was recently proposed by us arXiv:0704.1651 as an alternative to a cosmological constant in a explanation of the current accelerating universe. In this scenario phantom scalar field conformally coupled to gravity ... More

Trends in Atomic Adsorption on Titanium Carbide and NitrideNov 16 2005Extensive density-functional calculations on atomic chemisorption of H, B, C, N, O, F, Al, Si, P, S, and Cl on the polar TiC(111) and TiN(111) yield similar adsorption trends for the two surfaces: (i) pyramid-like adsorption-energy trends along the adatom ... More

Effect of hypertension on low-density lipoprotein transport within a multi-layered arterial wall: modelling consistent with experimentsApr 13 2016The influence of hypertension on low-density lipoproteins intake into the arterial wall is an important factor for understanding mechanisms of atherosclerosis. It has been experimentally observed that the increased pressure leads to the higher level of ... More

Semigroup approach to diffusion and transport problems on networksMar 02 2015Models describing transport and diffusion processes occurring along the edges of a graph and interlinked by its vertices have been recently receiving a considerable attention. In this paper we generalize such models and consider a network of transport ... More

Cost and benefits of CRISPR spacer acquisitionNov 08 2018CRISPR-Cas mediated immunity in bacteria allows bacterial populations to protect themselves against pathogens. However, it also exposes them to the dangers of auto-immunity by developing protection that targets its own genome. Using a simple model of ... More

Hunchback promoters can readout morphogenetic positional information in less than a minuteJun 19 2019Jun 21 2019The first cell fate decisions in the developing fly embryo are made very rapidly : hunchback genes decide in a few minutes whether a given nucleus follows the anterior or the posterior developmental blueprint by reading out the positional information ... More

Emergence of Cooperative Long-term Market Loyalty in Double Auction MarketsOct 20 2015Loyal buyer-seller relationships can arise by design, e.g. when a seller tailors a product to a specific market niche to accomplish the best possible returns, and buyers respond to the dedicated efforts the seller makes to meet their needs. We ask whether ... More

Online Tree CachingFeb 27 2016We study a natural and practically relevant new variant of online caching with bypassing where the to-be-cached items can have dependencies. We assume that the universe is a tree T and items are tree nodes; we require that if a node v is cached then T(v) ... More

Validity of the Molecular-Dynamics-Lattice-Gas Global Equilibrium Distribution FunctionNov 20 2018The MDLG method establishes a direct link between a lattice-gas method and the coarse-graining of a Molecular Dynamics approach. Due to its connection to Molecular Dynamics, the MDLG rigorously recovers the hydrodynamics and allows to validate the behavior ... More

Collinear and Transverse Momentum Dependent parton densities obtained with a Parton Branching MethodOct 11 2017We present a solution of the DGLAP evolution equations, written in terms of Sudakov form factors to describe the branching and no-branching probabilities, using a parton branching Monte Carlo method. We demonstrate numerically that this method reproduces ... More

Pattern Encoding on the Poincare SphereOct 01 2014This paper presents a convenient graphical tool for encoding visual patterns (such as image patches and image atoms) as point constellations in a space spanned by perceptual features and with a clear geometrical interpretation. General theory and a practical ... More

Signature of Collision of Magnetic Flux Tubes in the Quiet Solar PhotosphereDec 09 2010Collision of the magnetic flux tubes in the Quiet Sun was proposed as one of the possible sources for the heating of the solar atmosphere (Furusawa and Sakai, 2000). The solar photosphere was observed using the New Solar Telescope ad Big Bear Solar Observatory. ... More

The group of homeomorphisms of the Cantor set has ample genericsApr 17 2011Mar 21 2012We show that the group of homeomorphisms of the Cantor set $H(K)$ has ample generics, that is, for every $m$ the diagonal conjugacy action $g\cdot(h_1,h_2,..., h_m)=(gh_1g^{-1},gh_2g^{-1},..., gh_mg^{-1})$ of $H(K)$ on $H(K)^m$ has a comeager orbit. This ... More

The Position of High Frequency Waves with Respect to the Granulation PatternMay 09 2007High frequency velocity oscillations were observed in the spectral lines Fe I 543.45nm and 543.29nm, using 2D spectroscopy with a Fabry- Perot and speckle reconstruction, at the VTT in Tenerife. We investigate the radial component of waves with frequencies ... More

Interpolation in generative modelsApr 06 2019We show how to construct smooth and realistic interpolations for generative models, with arbitrary, not necessarily Gaussian, prior. The crucial idea is based on the construction on the realisticity index of a curve, which maximisation, as we show, leads ... More

Relativistic Non-Thermal Bremsstrahlung RadiationOct 21 2013By applying a method of virtual quanta we derive formulae for relativistic non-thermal bremsstrahlung radiation from relativistic electrons as well as from protons and heavier particles with power-law momentum distribution $N(p)dp = k p^{-q} dp.$ We show ... More

Path Laplacian operators and superdiffusive processes on graphs. II. Two-dimensional latticeFeb 02 2018Jul 09 2018In this paper we consider a generalized diffusion equation on a square lattice corresponding to Mellin transforms of the $k$-path Laplacian. In particular, we prove that superdiffusion occurs when the parameter $s$ in the Mellin transform is in the interval ... More

On estimating angular momenta of infalling protostellar cores from observationsAug 14 2018We use numerical simulations of molecular cloud formation in the colliding flow scenario to investigate the reliability of observational estimates of the angular momenta of early-state, low-mass protostellar cores. We show that, with suitable corrections ... More