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Spanning Trees on Hypercubic Lattices and Non-orientable SurfacesJan 27 2000We consider the problem of enumerating spanning trees on lattices. Closed-form expressions are obtained for the spanning tree generating function for a hypercubic lattice of size N_1 x N_2 x...x N_d in d dimensions under free, periodic, and a combination ... More

Theory of impedance networks: The two-point impedance and LC resonancesJan 23 2006Jul 04 2006We present a formulation of the determination of the impedance between any two nodes in an impedance network. An impedance network is described by its Laplacian matrix L which has generally complex matrix elements. We show that by solving the equation ... More

Dimers on a simple-quartic net with a vacancyMar 07 2002Dec 24 2002A seminal milestone in lattice statistics is the exact solution of the enumeration of dimers on a simple-quartic net obtained by Fisher,Kasteleyn, and Temperley (FKT) in 1961. An outstanding related and yet unsolved problem is the enumeration of dimers ... More

Quarter-filled supersolid and solid phases in the extended Bose-Hubbard modelAug 18 2009We numerically study the ground state phase diagram of the two-dimensional hard-core Bose-Hubbard model with nearest ($V_1$) and next nearest neighbor ($V_2$) repulsions. In particular, we focus on the quarter-filled phases where one supersolid and two ... More

Exact Solution of a Monomer-Dimer Problem: A Single Boundary Monomer on a Non-Bipartite LatticeOct 01 2010Nov 09 2010We solve the monomer-dimer problem on a non-bipartite lattice, the simple quartic lattice with cylindrical boundary conditions, with a single monomer residing on the boundary. Due to the non-bipartite nature of the lattice, the well-known method of a ... More

Suppression of core polarization in halo nucleiJul 04 1996Mar 11 1997We present a microscopic study of halo nuclei, starting from the Paris and Bonn potentials and employing a two-frequency shell model approach. It is found that the core-polarization effect is dramatically suppressed in such nuclei. Consequently the effective ... More

3D visualizations of nano-scale phase separation and ultrafast dynamic correlation between phases in (Na0.32K0.68)0.95Fe1.75Se2Mar 14 2019Phase separation of metallic and antiferromagnetic (AFM) insulating phases in alkaline iron selenides (AxFe2-ySe2) continues to attract intense interest because the relationship between two peculiar features probably is a key to clarifying the pairing ... More

Finite Temperature Many-Body Theory with the Lipkin ModelAug 02 1993We have compared exact numerical results for the Lipkin model at finite temperature with Hartree-Fock theory and with the results of including in addition the ring diagrams. In the simplest version of the Lipkin model the Hartree-Fock approach shows a ... More

THz Generation and Detection on Dirac Fermions in Topological InsulatorsJan 26 2013This study shows that a terahertz (THz) wave can be generated from the (001) surface of cleaved Bi$_{\textrm{2}}$Se$_{\textrm{3}}$ and Cu-doped Bi$_{\textrm{2}}$Se$_{\textrm{3}}$ single crystals using 800 nm femtosecond pulses. The generated THz power ... More

Deformation potential dominated phonons in ZnS quantum dotsSep 12 2007Jul 06 2008Strong deformation potential (DP) dominated Raman spectra are reported for quantum confined cubic ZnS nanoclusters under off-resonance conditions allowed only in quantum dots. A flurry of zone boundary phonons is demonstrated in the scattering process. ... More

A Proof of the Göttsche-Yau-Zaslow FormulaSep 27 2010Nov 01 2010Let S be a complex smooth projective surface and L be a line bundle on S. G\"ottsche conjectured that for every integer r, the number of r-nodal curves in |L| is a universal polynomial of four topological numbers when L is sufficiently ample. We prove ... More

Parity quantum numbers in the Density Matrix Renormalization GroupApr 22 2012Jun 20 2012In strongly correlated systems, numerical algorithms taking parity quantum numbers into account are used not only for accelerating computation by reducing the Hilbert space but also for particular manipulations such as the Level Spectroscopy (LS) method. ... More

Enumeration of singular varieties with tangency conditionsMar 07 2017We construct the algebraic cobordism theory of bundles and divisors on varieties. It has a simple basis (over Q) from projective spaces and its rank is equal to the number of Chern numbers. An application of this algebraic cobordism theory is the enumeration ... More

Finding Convex Hulls Using Quickhull on the GPUJan 13 2012We present a convex hull algorithm that is accelerated on commodity graphics hardware. We analyze and identify the hurdles of writing a recursive divide and conquer algorithm on the GPU and divise a framework for representing this class of problems. Our ... More

Multi-Resolution Spatial Random-Effects Models for Irregularly Spaced DataApr 22 2015The spatial random-effects model is flexible in modeling spatial covariance functions, and is computationally efficient for spatial prediction via fixed rank kriging. However, the success of this model depends on an appropriate set of basis functions. ... More

A complete Raman mapping of phase transitions in Si under indentationJul 05 2008Jul 14 2008Crystalline Si substrates are studied for pressure induced phase transformation under indentation at room temperature using Berkovich tip. Raman scattering study is used for the identification of the transformed phases. Raman line as well as area mapping ... More

Universal polynomials for singular curves on surfacesMar 14 2012Let S be a complex smooth projective surface and L be a line bundle on S. For any given collection of isolated topological or analytic singularity types, we show the number of curves in the linear system |L| with prescribed singularities is a universal ... More

An Evaluation of Two Alternatives to MinimaxMar 27 2013In the field of Artificial Intelligence, traditional approaches to choosing moves in games involve the we of the minimax algorithm. However, recent research results indicate that minimizing may not always be the best approach. In this paper we summarize ... More

Scaling Properties of Fidelity in Spin-one Anisotropic ModelSep 11 2007Jan 14 2008By means of the density matrix renormalization group technique, the scaling relation of the fidelity susceptibility proposed recently is verified for the spin-one XXZ spin chain with an on-site anisotropic term. Moreover, from the results of both the ... More

A Study on the Interactive "HOPSCOTCH" Game for the Children Using Computer Music TechniquesJun 04 2010"Hopscotch" is a world-wide game for children to play since the times in the ancient Roman Empire and China. Here we present a study mainly focused on the research and discussion of the application on the children's well-know edutainment via the physical ... More

Farey Tree and the Frenkel-Kontorova ModelApr 16 1996We solved the Frenkel-Kontorova model with the potential $V(u)= -\frac{1}{2} |\lambda|(u-{\rm Int}[u]-\frac{1}{2})^2$ exactly. For given $|\lambda|$, there exists a positive integer $q_c$ such that for almost all values of the tensile force $\sigma$, ... More

Algebraic cobordism of filtered vector bundles on varieties: Notes on a work of Lee and PandharipandeApr 02 2011The construction of double point cobordism groups of vector bundles on varieties in the work [Lee-P] (arXiv:1002.1500 [math.AG]) of Yuan-Pin Lee and Rahul Pandharipande gives immediately double point cobordism groups of filtered vector bundles on varieties. ... More

Simultaneous Deep Transfer Across Domains and TasksOct 08 2015Recent reports suggest that a generic supervised deep CNN model trained on a large-scale dataset reduces, but does not remove, dataset bias. Fine-tuning deep models in a new domain can require a significant amount of labeled data, which for many applications ... More

Harmonic-oscillator excitations of precise few-body wave functionsAug 21 2014A method for calculating the occupation probability of the number of harmonic oscillator (HO) quanta is developed for a precise few-body wave function obtained in a correlated Gaussian basis. The probability distributions of two- to four-nucleon wave ... More

The black hole--bulge relation in AGNsSep 25 2003We used the widths of H$\beta$ and [OIII] emission lines to investigate the black hole--bulge relation in radio-loud AGNs, radio-quiet AGNs and NLS1s. The central black hole mass, $M_{bh}$, is estimated from the H$\beta$ line width and the optical luminosity, ... More

On X-ray variability in narrow line and broad line AGNsMar 25 2003We assembled a sample of broad line and narrow lines AGNs observed by ASCA, whose excess variances have been determined. The central black hole masses in this sample can be obtained from the reverberation mapping method and the width of H$\beta$ emission ... More

Formation of Partially Dark-Matter GalaxiesMar 07 2012Jan 13 2016The problem of galactic formation and evolution should be solved on the basis of the Standard Model of particle physics. We believe that we live in the quantum 4-dimensional Minkowski space-time with the force-fields gauge-group structure SU_c(3) \times ... More

What happened to the Cosmological QCD Phase Transition?May 29 2007The scenario that some first-order phase transitions may have taken place in the early Universe offers us one of the most intriguing and fascinating questions in cosmology. Indeed, the role played by the latent "heat" or energy released in the phase transition ... More

The Standard ModelApr 17 2013Aug 25 2017We declare that we live in the quantum 4-dimensional Minkowski space-time with, via the gauge principle, the force-fields gauge-group structure, $SU_c(3) \times SU_L(2) \times U(1)$ applied to the quark world or $SU_L(2) \times U(1) \times SU_f(3)$ applied ... More

An Anatomy of Neutrino OscillationsSep 25 2012Nov 03 2015We ponder about neutrino oscillations; a particle without a clear identity, a neutrino of a given flavor in fact does not satisfy the Dirac equation (which is used to define the mass eigen-states and mass eigen-values). This alters the basic treatment ... More

Differential Harnack inequalities for a family of sub-elliptic diffusion equations on Sasakian manifoldsFeb 14 2013We prove a version of differential Harnack inequality for a family of sub-elliptic diffusions on Sasakian manifolds under certain curvature conditions.

On the Jordan-Kinderlehrer-Otto schemeAug 14 2014Oct 09 2015In this paper, we prove that the Jordan-Kinderlehrer-Otto scheme for a family of linear parabolic equations on the flat torus converges uniformly in space.

Beam-beam observations in the RHICOct 22 2014The Relativistic Heavy Ion Collider (RHIC) at Brookhaven National Laboratory has been in operation since 2000. Over the past decade, the luminosity in the polarized proton (p-p) operations has increased by more than one order of magnitude. The maximum ... More

On measure contraction property without Ricci curvature lower boundDec 14 2014Measure contraction properties $MCP(K,N)$ are synthetic Ricci curvature lower bounds for metric measure spaces which do not necessarily have smooth structures. It is known that if a Riemannian manifold has dimension $N$, then $MCP(K,N)$ is equivalent ... More

Exact Solution of an One Dimensional Deterministic Sandpile ModelDec 24 1995Using the transfer matrix method, we give the exact solution of a deterministic sandpile model for arbitrary $N$, where $N$ is the size of a single toppling. The one- and two-point functions are given in term of the eigenvalues of an $N \times N$ transfer ... More

Distance for Functional Data Clustering Based on Smoothing Parameter CommutationApr 10 2016We propose a novel method to determine the dissimilarity between subjects for functional data clustering. Spline smoothing or interpolation is common to deal with data of such type. Instead of estimating the best-representing curve for each subject as ... More

Efficient Signal Inclusion With Genomic ApplicationsMay 27 2018Aug 29 2018This paper addresses the challenge of efficiently capturing a high proportion of true signals for subsequent data analyses when sample sizes are relatively limited with respect to data dimension. We propose the signal missing rate as a new measure for ... More

FastLORS: Joint Modeling for eQTL Mapping in RMay 14 2018Yang et al. (2013) introduced LORS, a method that jointly models the expression of genes, SNPs, and hidden factors for eQTL mapping. LORS solves a convex optimization problem and has guaranteed convergence. However, it can be computationally expensive ... More

Adversarial Discriminative Domain AdaptationFeb 17 2017Adversarial learning methods are a promising approach to training robust deep networks, and can generate complex samples across diverse domains. They also can improve recognition despite the presence of domain shift or dataset bias: several adversarial ... More

Spin-dipole strength functions of $^4$He with realistic nuclear forcesJan 02 2013Both isoscalar and isovector spin-dipole excitations of $^4$He are studied using realistic nuclear forces in the complex scaling method. The ground state of $^4$He and discretized continuum states with $J^{\pi}=0^-, 1^-, 2^-$ for A=4 nuclei are described ... More

Significance and properties of internucleon correlation functionsOct 17 2008We show that a nuclear Hamiltonian and a set of internucleon correlation functions is in a one-to-one correspondence. The correlation functions for $s$-shell nuclei interacting via the two-nucleon interaction of AV8$^\prime$ type are calculated to exhibit ... More

Momentum distribution and correlation of two-nucleon relative motion in $^6$He and $^6$LiApr 17 2007The momentum distribution of relative motion between two nucleons gives information on the correlation in nuclei. The momentum distribution is calculated for both $^{6}$He and $^6$Li which are described in a three-body model of $\alpha$+$N$+$N$. The ground ... More

Structure of and E2 transition in $^{16}$C in a $^{14}$C+n+n modelJan 20 2006A three-body model of $^{14}$C+n+n is applied to study the energy spectrum and the hindered $E$2 transition in $^{16}$C. A realistic two-nucleon potential is used for the valence neutrons. Both spin singlet and triplet components for the neutrons are ... More

Black hole masses in narrow-line Seyfert 1 galaxiesMay 09 2004The masses of central supermassive black holes in a soft X-ray selected sample of the narrow-line Seyfert 1 galaxies (NLS1s) are estimated by some different methods to test their theoretical models. Apart from the methods using the H$\beta$ linewidth ... More

Timescales of Soft X-Ray Variability and Physical Constraints in AgnsMar 25 2003We present soft X-ray variability time-scales for 65 active galactic nuclei (AGNs) derived from ROSAT/PSPC pointing data. For these 65 objects with obvious exponential increasing or decreasing patterns in their light curves, we use the exponential time-scales ... More

We live in the quantum 4-dimensional Minkowski space-timeJun 29 2015We try to define "our world" by stating that "we live in the quantum 4-dimensional Minkowski space-time with the force-fields gauge group $SU_c(3) \times SU_L(2) \times U(1) \times SU_f(3)$ built-in from the outset". We begin by explaining what "space" ... More

The Family ColliderSep 22 2014Granting that the $SU_c(3) \times SU_L(2) \times U(1) \times SU_f(3)$ Standard Model is valid (or, partially valid), for the real world, we propose the $\mu^+ e^-$ collider in the $10^2\, GeV$ range as the family collider. This family collider may work ... More

Using Dark Matter as a Guide to extend Standard Model: Dirac Similarity Principle and Minimum Higgs HypothesisJul 01 2011We introduce the "Dirac similarity principle" that states that only those point-like Dirac particles which can interact with the Dirac electron can be observed, such as in the Standard Model. We emphasize that the existing world of the Standard Model ... More

The dark-matter world: Are there dark-matter galaxies?Oct 26 2011We attempt to answer whether neutrinos and antineutrinos, such as those in the cosmic neutrino background, would clusterize among themselves or even with other dark-matter particles, under certain time span, say 1 Gyr. With neutrino masses in place, the ... More

Picture Invariance in Quantum OpticsMar 10 2005Aug 12 2008We clarify the controversy over the coherent-state (CS) versus the number-state (NS) pictures in quantum optics. The NS picture is equivalent to the CS picture, as long as the phases $\phi$ in the laser fields are randomly distributed, as M{\o}lmer argues ... More

Matrix Factorizations via the Inverse Function TheoremAug 12 2014We give proofs of QR factorization, Cholesky's factorization, and LDU factorization using the inverse function theorem. As a consequence, we obtain analytic dependence of these matrix factorizations which does not follow immediately using Gaussian elimination. ... More

Displacement interpolations from a Hamiltonian point of viewMay 07 2012Jul 20 2013One of the most well-known results in the theory of optimal transportation is the equivalence between the convexity of the entropy functional with respect to the Riemannian Wasserstein metric and the Ricci curvature lower bound of the underlying Riemannian ... More

The Harnack inequality and the Jordan-Kinderlehrer-Otto schemeSep 07 2015We establish a version of the Harnack inequality for the Jordan-Kinderlehrer-Otto scheme of the heat equation on the flat torus.

Rankin-Cohen Operators for Jacobi and Siegel FormsNov 26 1996For any non-negative integer v we construct explicitly [v/2]+1 independent covariant bilinear differential operators from J_{k,m} x J_{k',m'} to J_{k+k'+v,m+m'}. As an application we construct a covariant bilinear differential operator mapping S_k^{(2)} ... More

The Standard ModelApr 17 2013Aug 25 2015We suggest that we live in the (quantum) 4-dimensional Minkowski space-time with the force-fields gauge-group structure SU_c(3) \times SU_L(2) \times U(1) \times SU_f(3) built-in from the outset. The quark world, protected by SU_c(3) \times SU_L(2) \times ... More

Correlated-basis description of $α$-cluster and delocalized $0^+$ states in $^{16}$OJan 06 2014A five-body calculation of $^{12}$C+$n$+$n$+$p$+$p$ is performed to take a step towards solving an outstanding problem in nuclear theory: The simultaneous and accurate description of the ground and first excited 0$^+$ states of $^{16}$O. The interactions ... More

Difference of $α$-disks between Seyfert 1 galaxies and QuasarsSep 25 2003In a previous paper (Bian & Zhao 2002), it was suggested that contamination to the luminosity of galactic nucleus from the host galaxies play an important role in determining parameters of the standard $\alpha$ disk for AGNs. Using the nuclear absolute ... More

Masses, Accretion Rates and Inclinations of AGNsAug 29 2002We assume that the gravitational instability of standard thin accretion disks leads to the Broad Line Regions (BLRs), the B band luminosity comes from standard thin disk and the motion of BLRs is virial. The central black hole masses, the accretion rates ... More

The Family ProblemAug 15 2008We all know that in our family of particle physics we have three generations but still don't know why - the so-called "family problem". On other hand, in view of the masses and oscillations, the neutrinos now present some basic difficulty in the Standard ... More

Helstrom Theorem by No-Signaling ConditionFeb 15 2005Mar 21 2005We prove a special case of Helstrom theorem by using no-signaling condition in the special theory of relativity that faster-than-light communication is impossible.

A precise definition of the Standard ModelSep 22 2014Jun 24 2016We declare that we are living in the quantum 4-dimensional Minkowski space-time with the force-fields gauge-group structure $SU_c(3) \times SU_L(2) \times U(1) \times SU_f(3)$ built-in from the very beginning. From this overall background, we see the ... More

A Way to Understand the Mass GenerationJan 28 2013Nov 03 2015We believe that the quantum 4-dimensional Minkowski space-time with the force-fields gauge-group structure $SU_c(3) \times SU_L(2) \times U(1) \times SU_f(3)$ built-in from the very beginning is the background for everything. Thus, the self-repulsive, ... More

Cosmology: Neutrinos as the Only Final Dark MatterDec 06 2010Jan 13 2016Even though neutrinos and antineutrinos are everywhere in the Universe, their critical importance might be overlooked, especially because that at least one species of neutrinos has the mass 0.058 eV, far larger than the cosmic thermalization temperature ... More

Volume Rigidity of Principal Circle Bundles over the Complex Projective SpaceDec 11 2017In this paper, we prove that principal circle bundles over the complex projective space equipped with the standard Sasakian structures are volume rigid among all $K$-contact manifolds satisfying positivity conditions of tensors involing the Tanaka-Webster ... More

Baryonic B meson decays at Belle and BabarMay 31 2009Recent results obtained using the data sample collected on the Upsilon(4S) resonance with the Belle detector at the KEKB asymmetric-energy e^+ e^- collider and the Babar detector at the PEP-II asymmetric-energy e^+ e^- collider are discussed. Measurements ... More

Ricci curvature lower bounds on Sasakian manifoldsNov 30 2015Dec 26 2015Measure contraction property is a synthetic Ricci curvature lower bound for metric measure spaces. We consider Sasakian manifolds with non-negative Tanaka-Webster Ricci curvature equipped with the metric measure space structure defined by the sub-Riemannian ... More

Sharp Harnack inequalities for a family of hypoelliptic diffusionsOct 26 2015Nov 01 2015We prove sharp Harnack inequalities for a family of Kolmogorov-Fokker-Planck type hypoelliptic diffusions.

Inversion doublets of 3N+N cluster structure in excited states of $^4$HeApr 07 2008Jul 09 2008Excited states of $^4$He are studied in four-body calculations with explicitly correlated Gaussian bases. All the levels below $E_{\rm x}$=26 MeV are reproduced reasonably well using realistic potentials. An analysis is made to show how the $0^+_2$ state ... More

Neutrino Oscillations as a Lepton-Flavor-Violating InteractionJul 27 2012Aug 15 2013To describe neutrino oscillations in the sense of quantum mechanics and quantum field theory, we propose to use an off-diagonal neutrino-Higgs (mass) interaction, as discussed originally in a family gauge theory and in the extended Standard Model. For ... More

Nonlocal Condensates in QCDFeb 03 1997In the presence of the nontrivial QCD ground state or vacuum, nonlocal condensates are used to characterize the quark or gluon propagator, or other Green functions of higher order. In this paper, we wish to show that, by taking the large $N_c$ limit (with ... More

On curvature and hyperbolicity of monotone Hamiltonian systemsFeb 17 2012Jul 28 2012Assume that a Hamiltonian system is monotone. In this paper, we give several characterizations on when such a system is Anosov. Assuming that a monotone Hamiltonian system has no conjugate point, we show that there are two distributions which are invariant ... More

New Computable Necessary Conditions for the Regularity Theory of Optimal TransportationDec 24 2009May 22 2010We give new computable necessary conditions for a class of optimal transportation problems to have smooth solutions.

Generalized Li-Yau estimates and Huisken's monotonicity formulaNov 23 2012Sep 03 2013We prove a generalization of the Li-Yau estimate for a board class of second order linear parabolic equations. As a consequence, we obtain a new Cheeger-Yau inequality and a new Harnack inequality for these equations. We also prove a Hamilton-Li-Yau estimate, ... More

Gamma-ray burst: probe of a black holeMay 27 2001Nov 03 2001There is strong evidence for the existence of black holes(BHs) in some X-ray binaries and most galatic nuclei, based on different measuremental approaches, but black holes aren't finally identified for the lack of very firm observational evidence up to ... More

Evolution of Close Neutron Star BinariesOct 15 1996Oct 17 1996We have calculated evolution of neutron star binaries towards the coalescence driven by gravitational radiation. The hydrodynamical effects as well as the general relativistic effects are important in the final phase. All corrections up to post$^{2.5}$-Newtonian ... More

$^{22}$C: $S$-Wave Two-Neutron HaloMay 23 2006Aug 04 2006A dripline nucleus $^{22}$C is studied in a Borromean three-body model of $^{20}$C+$n$+$n$. The valence neutrons, interacting via a realistic potential, are constrained to be orthogonal to the occupied orbits in $^{20}$C. We obtain ample results supporting ... More

The mass estimate in narrow-line Seyfert 1 galaxiesMay 03 2004It is possible that narrow-line Seyfert 1 galaxies (NLS1s) are in the early stage of active galactic nuclei (AGNs) evolution. It is important to estimate the mass of supermassive black hole (SBH) in NLS1s. Here we considered the different kinds of methods ... More

Bell's Inequality, Random Sequence, and Quantum Key DistributionJan 27 2005Mar 22 2005The Ekert 91 quantum key distribution (QKD) protocol appears to be secure whatever devices legitimate users adopt for the protocol, as long as the devices give a result that violates Bell's inequality. However, this is not the case if they ignore non-detection ... More

Bell Measurement and Local Measurement in the Modified Lo-Chau Quantum Key Distribution ProtocolFeb 04 2004Aug 07 2005We clarify the argument on the how (nonlocal) degenerate Bell measurement can be replaced by local measurements in the modified Lo-Chau quantum key distribution protocol. Discussing security criterion for users, we describe how eavesdropper's refined ... More

Neutrinos as a probe of dark-matter particlesJul 30 2012We try to envision that there might be a dark-matter world and neutrinos, especially the right-handed ones, might be coupled directly with dark-matter particles in the dark-matter world. The candidate model would be the extended Standard Model based on ... More

Neutrino masses and the extra Z^{\prime 0}Sep 10 2010May 27 2011We now know firmly that neutrinos have tiny masses, but in the minimal Standard Model there is no natural sources for such tiny masses. On the other hand, the extra heavy Z^{\prime 0} requires the extra Higgs field, the particle generating the mass. Here ... More

Quantum Key Distribution with High Loss: Toward Global Secure CommunicationNov 24 2002May 19 2003We propose a decoy-state method to overcome the photon-number-splitting attack for Bennett-Brassard 1984 quantum key distribution protocol in the presence of high loss: A legitimate user intentionally and randomly replaces signal pulses by multi-photon ... More

QCD Sum Rules and Chiral Symmetry BreakingJan 06 1996Oct 28 1996By matching the world of hadrons to that of some effective chiral quark theory, we determine the induced condensates for QCD sum rules in the presence of an external pion field. The observed values of the strong and weak $\pi NN$ coupling constants are ... More

A Remark on the Potentials of Optimal Transport MapsJun 20 2010Optimal maps, solutions to the optimal transportation problems, are completely determined by the corresponding c-convex potential functions. In this paper, we give simple sufficient conditions for a smooth function to be c-convex when the cost is given ... More

A Warped Product Splitting Theorem Through Weak KAM TheoryDec 24 2017Jan 02 2018In this paper, we strengthen the splitting theorem proved in [14, 15] and provide a different approach using ideas from the weak KAM theory.

Differential Harnack inequalities for linear parabolic equationsMay 24 2015Jul 27 2015We prove matrix and scalar differential Harnack inequalities for linear parabolic equations on Riemannian and K\"ahler manifolds.

Scaling Analysis and Systematic Extraction of Macroscopic Structures in Fluctuating Systems of Arbitrary DimensionsAug 02 2006Many fluctuating systems consist of macroscopic structures in addition to noisy signals. Thus, for this class of fluctuating systems, the scaling behaviors are very complicated. Such phenomena are quite commonly observed in Nature, ranging from physics, ... More

Cascade production in heavy-ion collisions at SIS energiesDec 02 2003Feb 17 2004Production of the doubly strange $\Xi $ baryon in heavy-ion collisions at \textrm{SIS} energies is studied in a relativistic transport model that includes perturbatively the strangeness-exchange reactions $\bar{K}\Lambda \to \pi \Xi $ and $\bar{K}\Sigma ... More

Gene-level pharmacogenetic analysis on survival outcomes using gene-trait similarity regressionAug 01 2014Gene/pathway-based methods are drawing significant attention due to their usefulness in detecting rare and common variants that affect disease susceptibility. The biological mechanism of drug responses indicates that a gene-based analysis has even greater ... More

Deep Domain Confusion: Maximizing for Domain InvarianceDec 10 2014Recent reports suggest that a generic supervised deep CNN model trained on a large-scale dataset reduces, but does not remove, dataset bias on a standard benchmark. Fine-tuning deep models in a new domain can require a significant amount of data, which ... More

eQTL Mapping via Effective SNP Ranking and ScreeningApr 08 2018Genome-wide eQTL mapping explores the relationship between gene expression values and DNA variants to understand genetic causes of human disease. Due to the large number of genes and DNA variants that need to be assessed simultaneously, current methods ... More

Exact Solution of Frenkel-Kontorova Models with a Complete Devil's Staircase in Higher DimensionsJul 08 1996We solve exactly a class of Frenkel-Kontorova models with piecewise parabolic potential, which has $d$ sub-wells in a period. With careful analysis, we show that the phase diagram of the minimum enthalpy configurations exhibits the structure of a complete ... More

Quantum phase transitions driven by rhombic-type single-ion anisotropy in the S=1 Haldane chainMay 03 2017Nov 28 2017The spin-1 Haldane chain is an example of the symmetry-protected-topological (SPT) phase in one dimension. Experimental realization of the spin chain materials usually involves both the uniaxial-type, $D(S^z)^2$, and the rhombic-type, $E[(S^x)^2-(S^y)^2]$, ... More

SPLAT: Semantic Pixel-Level Adaptation Transforms for DetectionDec 03 2018Domain adaptation of visual detectors is a critical challenge, yet existing methods have overlooked pixel appearance transformations, focusing instead on bootstrapping and/or domain confusion losses. We propose a Semantic Pixel-Level Adaptation Transform ... More

Sam2bam: High-Performance Framework for NGS Data Preprocessing ToolsAug 05 2016This paper introduces a high-throughput software tool framework called {\it sam2bam} that enables users to significantly speedup pre-processing for next-generation sequencing data. The sam2bam is especially efficient on single-node multi-core large-memory ... More

Human Curation and Convnets: Powering Item-to-Item Recommendations on PinterestNov 12 2015This paper presents Pinterest Related Pins, an item-to-item recommendation system that combines collaborative filtering with content-based ranking. We demonstrate that signals derived from user curation, the activity of users organizing content, are highly ... More

Price Trends in a Simplified Model of the Wealth GameOct 29 2009Sep 23 2010We consider a simplified version of the Wealth Game, which is an agent-based financial market model with many interesting features resembling the real stock market. Market makers are not present in the game so that the majority traders are forced to reduce ... More

Large thermal Hall coefficient in bismuthMar 10 2012We present a systematical study of thermal Hall effect on a bismuth single crystal by measuring resistivity, Hall coefficient, and thermal conductivity under magnetic field, which shows a large thermal Hall coefficient comparable to the largest one in ... More

R-parity Violating Contribution to Neutron EDM at One-loop OrderApr 12 2000Jan 03 2001We present the full result for the down squark mass-squared matrix in the complete theory of supersymmetry without R-parity where all kind of R-parity violating terms are admitted without bias. An optimal parametrization, the single-VEV parametrization, ... More

Control of spin relaxation in semiconductor double quantum dotsJan 02 2006Jul 13 2006We propose a scheme to manipulate the spin relaxation in vertically coupled semiconductor double quantum dots. Up to {\em twelve} orders of magnitude variation of the spin relaxation time can be achieved by a small gate voltage applied vertically on the ... More