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Retraining-Based Iterative Weight Quantization for Deep Neural NetworksMay 29 2018Model compression has gained a lot of attention due to its ability to reduce hardware resource requirements significantly while maintaining accuracy of DNNs. Model compression is especially useful for memory-intensive recurrent neural networks because ... More

Structured Compression by Unstructured Pruning for Sparse Quantized Neural NetworksMay 24 2019Model compression techniques, such as pruning and quantization, are becoming increasingly important to reduce the memory footprints and the amount of computations. Despite model size reduction, achieving performance enhancement on devices is, however, ... More

DeepTwist: Learning Model Compression via Occasional Weight DistortionOct 30 2018Model compression has been introduced to reduce the required hardware resources while maintaining the model accuracy. Lots of techniques for model compression, such as pruning, quantization, and low-rank approximation, have been suggested along with different ... More

A simply connected numerical Campedelli surface with an involutionAug 03 2011Jan 15 2013We construct a simply connected minimal complex surface of general type with $p_g=0$ and $K^2=2$ which has an involution such that the minimal resolution of the quotient by the involution is a simply connected minimal complex surface of general type with ... More

A complex surface of general type with p_g=0, K^2=3 and H_1=Z/2ZMar 09 2008Mar 26 2008This paper is an addendum to [4], in which the authors constructed a simply connected minimal complex surface of general type with p_g=0 and K^2=3. In this paper we construct a new non-simply connected minimal surface of general type with p_g=0, K^2=3 ... More

Learning Low-Rank Approximation for CNNsMay 24 2019Low-rank approximation is an effective model compression technique to not only reduce parameter storage requirements, but to also reduce computations. For convolutional neural networks (CNNs), however, well-known low-rank approximation methods, such as ... More

Data Transmission with Reduced Delay for Distributed Acoustic SensorsOct 08 2015Nov 05 2015This paper proposes a channel access control scheme fit to dense acoustic sensor nodes in a sensor network. In the considered scenario, multiple acoustic sensor nodes within communication range of a cluster head are grouped into clusters. Acoustic sensor ... More

Surfaces of general type with $p_g=1$ and $q=0$Jun 29 2009Jan 16 2011In this paper we construct a new family of simply connected minimal complex surfaces of general type with $p_g=1$, $q=0$, and $K^2=3, 4, 5, 6, 8$ using a $\mathbb{Q}$-Gorenstein smoothing theory. We also reconstruct minimal complex surfaces of general ... More

A simply connected surface of general type with p_g=0 and K^2=4Mar 26 2008Sep 22 2008As the sequel to [5, 7], we construct a simply connected minimal complex surface of general type with p_g = 0 and K^2 = 4 by using a rational blow-down surgery and Q-Gorenstein smoothing theory.

Normal complex surface singularities with rational homology disk smoothingsNov 08 2013May 07 2014In this paper we show that if the minimal good resolution graph of a normal surface singularity contains at least two nodes (i.e. vertex with valency at least 3) then the singularity does not admit a smoothing with Milnor fiber having rational homology ... More

Dementia assistive system as a dense networkOct 14 2015As elderly population increases, portion of dementia patients becomes larger. Thus social cost of caring dementia patients has been a major concern to many nations. This article introduces a dementia assistive system operated by various sensors and devices ... More

Base-point-free pencils on triple covers of smooth curvesJun 11 2008Let $X$ be a smooth algebraic curve. Suppose that there exists a triple covering $f : X \to Y$ where $Y$ is a smooth algebraic curve. In this paper, we investigate the existence of morphisms from $X$ to the projective line $\mathbf{P}^1$ which do not ... More

Infinitesimal deformations of complements of plumbings of rational curvesOct 10 2010We construct infinitesimal deformations on an open domain of a smooth projective surface given by a complement of plumbings of disjoint linear chains of smooth rational curves. We show that the infinitesimal deformations are not small deformations, that ... More

Safety technology for train based on multi-sensors and braking systemOct 08 2015Jun 16 2016This work deals with integration and transmission of safety information for smart railway vehicles and control and design of cooperative emergency brake systems for high speed trains. Due to increased speed of high-speed train, safety of passengers is ... More

The minimal degree of plane models of double covers of smooth curvesSep 10 2008Oct 12 2009If $X$ is a smooth curve such that the minimal degree of its plane models is not too small compared with its genus, then $X$ has been known to be a double cover of another smooth curve $Y$ under some mild condition on the genera. However there are no ... More

Network Pruning for Low-Rank Binary IndexingMay 14 2019Pruning is an efficient model compression technique to remove redundancy in the connectivity of deep neural networks (DNNs). Computations using sparse matrices obtained by pruning parameters, however, exhibit vastly different parallelism depending on ... More

Situation-Aware Integration and Transmission of Safety Information for Smart Railway VehiclesApr 02 2015Apr 03 2015Recent trend of railway train development can be characterized in several aspects : high speed, infortainment, intelligence in driving, and so on. In particular, trend of high speed in driving is prominent and competition for high speed amongst several ... More

Rational homology balls in $2$-handlebodiesMar 15 2018We prove that there are rational homology balls $B_p$ smoothly embedded in the $2$-handlebodies associated to certain knots. Furthermore we show that, if we rationally blow up the $2$-handlebody along the embedded rational homology ball $B_p$, then the ... More

Wireless Power Transfer for High-precision Position Detection of Railroad VehiclesAug 31 2015Detection of vehicle position is critical for successful operation of intelligent transportation system. In case of railroad transportation systems, position information of railroad vehicles can be detected by GPS, track circuits, and so on. In this paper, ... More

Invariants of deformations of quotient surface singularitiesMar 01 2018We find all $P$-resolutions of quotient surface singularities (especially, tetrahedral, octahedral, and icosahedral singularities) together with their dual graphs, which reproduces Jan Steven's list [Manuscripta Math. 1993] of the numbers of $P$-resolutions ... More

Simple embeddings of rational homology balls and antiflipsApr 09 2019Let $V$ be a regular neighborhood of a negative chain of $2$-spheres (i.e. exceptional divisor of a cyclic quotient singularity), and let $B_{p,q}$ be a rational homology ball which is smoothly embedded in $V$. Assume that the embedding is simple, i.e. ... More

Symplectic fillings of quotient surface singularities and minimal model programNov 18 2018Jan 30 2019We prove that every minimal symplectic filling of the link of any quotient surface singularity can be obtained from its minimal resolution by a sequence of rational blowdowns applying the minimal model program for complex 3-dimensional algebraic varieties. ... More

A simply connected surface of general type with p_g=0 and K^2=3Aug 02 2007Aug 11 2007Motivated by a recent result of Y. Lee and the second author[7], we construct a simply connected minimal complex surface of general type with p_g=0 and K^2=3 using a rational blow-down surgery and Q-Gorenstein smoothing theory. In a similar fashion, we ... More

A simply connected surface of general type with $p_g=1$, $q=0$, and $K^2=8$Oct 19 2009We construct a new family of simply connected minimal complex surfaces with $p_g=1$, $q=0$, and $K^2=8$ using a $\mathbb{Q}$-Gorenstein smoothing theory.

Energy-Efficient Infrastructure Sensor Network for Ad Hoc Cognitive Radio NetworkOct 09 2015We propose an energy-efficient network architecture that consists of ad hoc (mobile) cognitive radios (CRs) and infrastructure wireless sensor nodes. The sensor nodes within communications range of each CR are grouped into a cluster and the clusters of ... More

Smoothly embedded rational homology ballsAug 15 2015In this paper we prove the existence of rational homology balls smoothly embedded in regular neighborhoods of certain linear chains of smooth $2$-spheres by using techniques from minimal model program for 3-dimensional complex algebraic variety.

A complex surface of general type with $p_g=0$, $K^2=2$ and $H_1=\mathbb{Z}/4\mathbb{Z}$Dec 29 2010Aug 25 2011We construct a new minimal complex surface of general type with $p_g=0$, $K^2=2$ and $H_1=\mathbb{Z}/4\mathbb{Z}$ (in fact $\pi_1^{\text{alg}}=\mathbb{Z}/4\mathbb{Z}$), which settles the existence question for numerical Campedelli surfaces with all possible ... More

Milnor fibers and symplectic fillings of quotient surface singularitiesJul 24 2015Feb 28 2018We determine a one-to-one correspondence between Milnor fibers and minimal symplectic fillings of a quotient surface singularity (up to diffeomorphism type) by giving an explicit algorithm to compare them mainly via techniques from the minimal model program ... More

Milnor fibers and symplectic fillings of quotient surface singularitiesJul 24 2015May 16 2016We determine a one-to-one correspondence between Milnor fibers and minimal symplectic fillings of a quotient surface singularity by giving an explicit algorithm to compare them mainly via techniques from the minimal model program for 3-folds and Pihkham's ... More

Performance Analysis of a Cognitive Radio Network with an Energy Harvesting Secondary Transmitter under Nakagami-m FadingNov 27 2017In this paper, we consider an overlay cognitive radio network, in which a secondary transmitter (ST) is willing to relay the information of a primary transmitter toward a primary receiver. In return, ST can access the licensed band to send its own information ... More

Restriction estimates to complex hyper-surfacesMar 11 2019The restriction problem is better understood for hyper-surfaces and recent progresses have been made by bilinear and multilinear approaches and most recently polynomial partitioning method which is combined with those estimates. However, for surfaces ... More

Estimating Large Precision Matrices via Modified Cholesky DecompositionJul 04 2017We introduce the $k$-banded Cholesky prior for estimating a high-dimensional bandable precision matrix via the modified Cholesky decomposition. The bandable assumption is imposed on the Cholesky factor of the decomposition. We obtained the P-loss convergence ... More

On the structure of certain valued fieldsAug 27 2016Sep 07 2018For any two complete discrete valued fields $K_1$ and $K_2$ of mixed characteristic with perfect residue fields, we show that if each pair of $n$-th residue rings is isomorphic for each $n\ge1$, then $K_1$ and $K_2$ are isometric and isomorphic. More ... More

The Three Dimensional Structural Shape of the Gravitational Potential in the Local GroupMay 10 2006Jun 19 2008The Local Group is a small galaxy cluster with the membership of 62 nearby galaxies including the Milky Way and M31. Although the Local Group has yet to be virialized, it interacts with the surrounding matter as one gravitationally bound system. To understand ... More

Generalizations of the Choe-Hoppe helicoid and Clifford cones in Euclidean spaceOct 13 2014Oct 26 2015Our goal is to generalize the Choe-Hoppe helicoid and Clifford cones in Euclidean space. By sweeping out $L$ indpendent Clifford cones in ${\mathbb{R}}^{2N+2}$ via the multi-screw motion, we construct minimal submanifolds in ${\mathbb{R}}^{L(2N+2)+1}$. ... More

A New Efficient Key Management Protocol for Wireless Sensor and Actor NetworksDec 03 2009Research on sensor networks has become much more active and is currently being applied to many different fields. However since sensor networks are limited to only collecting and reporting information regarding a certain event, and requires human intervention ... More

State transfer with quantum side informationAug 14 2017Mar 16 2018We first consider quantum communication protocols between a sender Alice and a receiver Bob, which transfer Alice's quantum information to Bob by means of non-local resources, such as classical communication, quantum communication, and entanglement. In ... More

Quantitative Analysis of a Transient Dynamics of a Gene Regulatory NetworkJun 28 2018Oct 16 2018In a stochastic process, noise often modifies the picture offered by the mean field dynamics. In particular, when there is an absorbing state, the noise erases a stable fixed point of the mean field equation from the stationary distribution, and turns ... More

On the structure of certain valued fieldsAug 27 2016Sep 19 2016For any two complete discrete valued fields $K_1$ and $K_2$ of mixed characteristic with perfect residue fields, we show that if each pair of $n$-th residue rings is isomorphic for each $n\ge1$, then $K_1$ and $K_2$ are isometric and isomorphic. More ... More

The Variation of Galaxy Morphological Type with the Shear of EnvironmentJan 10 2008Jul 28 2008Recent N-body simulations have shown that the assembly history of galactic halos depend on the density of large-scale environment. It implies that the galaxy properties like age and size of bulge may also vary with the surrounding large-scale structures, ... More

Reconstructing the Intrinsic Triaxial Shape of the Virgo ClusterApr 11 2007To use galaxy clusters as a cosmological probe, it is important to account for their triaxiality. Assuming that the triaxial shapes of galaxy clusters are induced by the tidal interaction with the surrounding matter, Lee and Kang recently developed a ... More

Compressed Learning of Deep Neural Networks for OpenCL-Capable Embedded SystemsMay 20 2019Deep neural networks (DNNs) have been quite successful in solving many complex learning problems. However, DNNs tend to have a large number of learning parameters, leading to a large memory and computation requirement. In this paper, we propose a model ... More

Restriction estimates to complex hypersurfacesMar 11 2019Mar 12 2019The restriction problem is better understood for hypersurfaces and recent progresses have been made by bilinear and multilinear approaches and most recently polynomial partitioning method which is combined with those estimates. However, for surfaces with ... More

Content-based feature exploration for transparent music recommendation using self-attentive genre classificationAug 31 2018Sep 03 2018Interpretation of retrieved results is an important issue in music recommender systems, particularly from a user perspective. In this study, we investigate the methods for providing interpretability of content features using self-attention. We extract ... More

A note on the Gunningham's formulaJun 30 2014Gunningham [G] constructed an extended topological quantum field theory (TQFT) to obtain a closed formula for all spin Hurwitz numbers. In this note, we use the gluing theorem in [LP2] to reprove the Gunningham's formula. We also describe a TQFT formalism ... More

The thermodynamics of quantum spacetime historiesOct 13 2015We show that the simplicity constraints, which define the dynamics of spin foam models, imply, and are implied by, the first law of thermodynamics, when the latter is applied to causal diamonds in the quantum spacetime. This result reveals an intimate ... More

Non-local beablesJul 30 2015I discuss the idea that the beables underlying quantum physics are non-local and relational, and give an example of a dynamical theory of such beables based on a matrix model, which is the bosonic sector of the BFSS model. Given that the same model has ... More

Dynamics of the cosmological and Newton's constantJul 05 2015A modification of general relativity is presented in which Newton's constant and the cosmological constant become a conjugate pair of dynamical variables.

The case for background independenceJul 25 2005The aim of this paper is to explain carefully the arguments behind the assertion that the correct quantum theory of gravity must be background independent. We begin by recounting how the debate over whether quantum gravity must be background independent ... More

A quantization of topological M theoryMar 17 2005A conjecture is made as to how to quantize topological M theory. We study a Hamiltonian decomposition of Hitchin's 7-dimensional action and propose a formulation for it in terms of 13 first class constraints. The theory has 2 degrees of freedom per point, ... More

The cubic matrix model and a duality between strings and loopsJun 19 2000We find evidence for a duality between the standard matrix formulations of M theory and a background independent theory which extends loop quantum gravity by replacing SU(2) with a supersymmetric and quantum group extension of SU(16). This is deduced ... More

General relativity as the equation of state of spin foamMay 24 2012Building on recent significant results of Frodden, Ghosh and Perez (FGP) and Bianchi, I present a quantum version of Jacobson's argument that the Einstein equations emerge as the equation of state of a quantum gravitational system. I give three criteria ... More

On limitations of the extent of inertial frames in non-commutative relativistic spacetimesJul 05 2010Aug 10 2010We study the interplay of non-locality and Lorentz invariance in a version of deformed or doubly special relativity (DSR) based on kappa-Minkowski spacetime. We find that Einstein's procedure for an inertial observer to assign coordinates to distant events ... More

The status of cosmological natural selectionDec 18 2006The problem of making predictions from theories that have landscapes of possible low energy parameters is reviewed. Conditions for such a theory to yield falsifiable predictions for doable experiments are given. It is shown that the hypothesis of cosmological ... More

The present moment in quantum cosmology: challenges to the arguments for the elimination of timeApr 29 2001Barbour, Hawking, Misner and others have argued that time cannot play an essential role in the formulation of a quantum theory of cosmology. Here we present three challenges to their arguments, taken from works and remarks by Kauffman, Markopoulou and ... More

Finite, diffeomorphism invariant observables in quantum gravityFeb 10 1993Two sets of spatially diffeomorphism invariant operators are constructed in the loop representation formulation of quantum gravity. This is done by coupling general relativity to an anti- symmetric tensor gauge field and using that field to pick out sets ... More

Strings as perturbations of evolving spin-networksJan 06 1998A connection between non-perturbative formulations of quantum gravity and perturbative string theory is exhibited, based on a formulation of the non-perturbative dynamics due to Markopoulou. In this formulation the dynamics of spin network states and ... More

Galactic disks as reaction-diffusion systemsDec 03 1996A model of a galactic disk is presented which extends the homogeneous one zone models by incorporating propagation of material and energy in the disk. For reasonable values of the parameters the homogeneous steady state is unstable to the development ... More

Cosmology as a Problem in Critical PhenomenaMay 16 1995Several problems in cosmology and astrophysics are described in which critical phenomena of various types may play a role. These include the organization of the disks of spiral galaxies, various aspects of the problem of structure formation in icosmology, ... More

A characterization of quasipositive Seifert surfaces (Constructions of quasipositive knots and links, III)Nov 15 2004This article was originally published in Topology 31 (1992). The present hyperTeXed redaction corrects a few typographical errors and updates the references.

Isolated critical points of mappings from $\mathbf{R}^4$ to $\mathbf{R}^2$ and a natural splitting of the Milnor number of a classical fibered link. Part I: Basic theory; examplesMar 04 2002Mar 04 2002From a fibered link in the 3-sphere may be constructed a field of not everywhere tangent 2-planes; when the fibered link is the link of an isolated critical point of a map from 4-space to the plane, the plane field is essentially the field of kernels ... More

Quadratic polynomials of small modulus cannot represent ORSep 29 2015Nov 12 2015An open problem in complexity theory is to find the minimal degree of a polynomial representing the $n$-bit OR function modulo composite $m$. This problem is related to understanding the power of circuits with $\text{MOD}_m$ gates where $m$ is composite. ... More

Quasi-sparse eigenvector diagonalization and stochastic error correctionAug 30 2000We briefly review the diagonalization of quantum Hamiltonians using the quasi-sparse eigenvector (QSE) method. We also introduce the technique of stochastic error correction, which systematically removes the truncation error of the QSE result by stochastically ... More

Pressure inequalities for nuclear and neutron matterJul 28 2004Dec 22 2005We prove several inequalities using lowest-order effective field theory for nucleons which give an upper bound on the pressure of asymmetric nuclear matter and neutron matter. We prove two types of inequalities, one based on convexity and another derived ... More

Dynamical Fermions in Hamiltonian Lattice Gauge TheoryOct 24 2001We describe a first attempt to understand dynamical fermions within a Hamiltonian framework. As a testing ground we study compact QED3 which shares some important features of QCD4 such as confinement, glueballs, mesons, and chiral symmetry breaking. We ... More

The role of Monte Carlo within a diagonalization/Monte Carlo schemeOct 31 2000We review the method of stochastic error correction which eliminates the truncation error associated with any subspace diagonalization. Monte Carlo sampling is used to compute the contribution of the remaining basis vectors not included in the initial ... More

Optimal Estimation and Prediction for Dense Signals in High-Dimensional Linear ModelsMar 20 2012Estimation and prediction problems for dense signals are often framed in terms of minimax problems over highly symmetric parameter spaces. In this paper, we study minimax problems over l2-balls for high-dimensional linear models with Gaussian predictors. ... More

Transforming floundering into successJul 30 2012We show how logic programs with "delays" can be transformed to programs without delays in a way which preserves information concerning floundering (also known as deadlock). This allows a declarative (model-theoretic), bottom-up or goal independent approach ... More

Practical Multiwriter Lock-Free Queues for "Hard Real-Time" Systems without CASSep 28 2007FIFO queues with a single reader and writer can be insufficient for "hard real-time" systems where interrupt handlers require wait-free guarantees when writing to message queues. We present an algorithm which elegantly and practically solves this problem ... More

Transforming Hidden Vector Encryption Schemes from Composite to Prime Order GroupsNov 09 2016Predicate encryption is a new type of public key encryption that enables searches on encrypted data. By using predicate encryption, we can search keywords or attributes on encrypted data without decrypting ciphertexts. Hidden vector encryption (HVE) is ... More

Amplitudes of low frequency modes in rotating B type starsNov 17 2011Using weakly non-linear theory of oscillation, we estimate the amplitudes of low frequency modes in a slowly pulsating B (SPB) star, taking account of the effects of rotation on the modes. Applying the formulation by Schenk et al (2002), we compute non-linear ... More

Exact Partition Function Zeros of the Wako-Saito-Muñoz-Eaton Protein ModelMay 14 2013I compute exact partition function zeros of the Wako-Saito-Mu\~noz-Eaton model for various secondary structural elements and for two proteins, 1BBL and 1I6C, using both analytic and numerical methods. Two-state and barrierless downhill folding transitions ... More

Analytic Partition Function Zeros of the Wako-Saito-Munoz-Eaton beta-hairpin ModelSep 26 2012Sep 28 2012An analytic formula for the density of states of Wako-Saito-Munoz-Eaton model, for a simple class of beta-hairpins, is obtained. Under certain simplifying assumptions on the structure of the native contacts and the values of local entropy, the partition ... More

Integral matrices as diagonal quadratic formsOct 29 2016In this paper, we investigate the conditions under which a diagonal quadratic form $\sum_{i=1}^{m}a_i X_i^2$ represents every $n \times n$ integral matrix, where $a_i$ ($1 \leq i \leq m$) are integers. For $n=2$, we give a necessary and sufficient condition. ... More

Current status of $\varepsilon_K$ in lattice QCDNov 14 2016We present the current status of $\varepsilon_K$ evaluated directly from the standard model using lattice QCD inputs. The lattice QCD inputs include $\hat{B}_K$, $\xi_0$, $\xi_2$, $|V_{us}|$, $m_c(m_c)$, and $|V_{cb}|$. Recently, FLAG has updated $\hat{B}_K$, ... More

Worst Unstable Points of a Hilbert SchemeDec 21 2015Mar 29 2018In this paper, we describe the worst unstable points of a Hilbert scheme for some special Hilbert polynomials and ambient spaces using Murai's work on Gotzmann monomial sets. The chosen Hilbert polynomials are parametrized by two parameters, say $\gamma$ ... More

The effect of liquid on the vibrational intensity of a wineglass at steady state resonanceJan 23 2018Oct 06 2018As a liquid is inserted into a wineglass, the natural frequency of the wineglass decreases. This phenomenon, known as pitch lowering, is well explained in past papers. However, previous literature have not yet mentioned that pitch lowering also reduces ... More

Estimating the Turn-Around Radii of Six Isolated Galaxy Groups in the Local UniverseSep 20 2017Feb 27 2018The estimates of the turn-around radii of six isolated galaxy groups in the nearby universe are presented. From the Tenth Data Release of the Sloan Digital Sky Survey, we first select those isolated galaxy groups at redshifts $z\le 0.05$ in the mass range ... More

A square root of Hurwitz numbersJul 07 2018We show that a generating function of spin Hurwitz numbers analogous to (disconnected) double Hurwitz numbers is a tau function of the two-component BKP (2-BKP) hierarchy such that it is a square root of a tau function of the two-component KP (2-KP) hierarchy ... More

A New Perspective on the Large-Scale Tidal Effect on the Galaxy Luminosity and MorphologyMay 19 2018Sep 19 2018We study the mean tidal coherence of galaxy environments as a function of intrinsic luminosity determined by the absolute $r$-band magnitude. The tidal coherence of a galaxy environment is estimated as the cosine of the angle between two minor eigenvectors ... More

An alternative proof of the non-Archimedean Montel theorem for polynomial dynamicsMay 21 2015May 22 2015We will see an alternative proof of the non-Archimedean Montel theorem, which is also called Hsia's criterion, for polynomial dynamics.

On the time dependence of the rate of convergence towards Hartree dynamics for interacting BosonsSep 13 2018Mar 25 2019We consider interacting $N$-Bosons in three dimensions. It is known that the difference between the many-body Schr\"odinger evolution in the mean-field regime and the corresponding Hartree dynamics is of order $1/N$. We investigate the time dependence ... More

Automated crater detection on Mars using deep learningApr 16 2019Impact crater cataloging is an important tool in the study of the geological history of planetary bodies in the Solar System, including dating of surface features and geologic mapping of surface processes. Catalogs of impact craters have been created ... More

Dense Signals, Linear Estimators, and Out-of-Sample Prediction for High-Dimensional Linear ModelsFeb 15 2011Mar 20 2012Motivated by questions about dense (non-sparse) signals in high-dimensional data analysis, we study the unconditional out-of-sample prediction error (predictive risk) associated with three popular linear estimators for high-dimensional linear models: ... More

On Charge Conservation and The Equivalence Principle in the Noncommutative SpacetimeApr 13 2007Jun 20 2007We investigate one of the consequences of the twisted Poincare symmetry. We derive the charge conservation law and show that the equivalence principle is satisfied in the canonical noncommutative spacetime. We applied the twisted Poincare symmetry to ... More

Superfluidity and excitations at unitarityJun 28 2006Dec 18 2006We present lattice results for spin-1/2 fermions at unitarity, where the effective range of the interaction is zero and the scattering length is infinite. We measure the spatial coherence of difermion pairs for a system of 6, 10, 14, 18, 22, 26 particles ... More

Ground state energy of spin-1/2 fermions in the unitary limitNov 14 2005Jan 06 2006We present lattice results for the ground state energy of a spin-1/2 fermion system in the unitary limit, where the effective range of the interaction is zero and the scattering length is infinite. We compute the ground state energy for a system of 6, ... More

A short note on containment of coresMar 13 2007We show that cores of ideals do not preserve the inclusion.

On the Action of the Symmetric Group on the Cohomology of Groups Related to (Virtual) BraidsApr 16 2013Jul 08 2013In this paper we consider the cohomology of four groups related to the virtual braids of [Kauffman] and [Goussarov-Polyak-Viro], namely the pure and non-pure virtual braid groups (PvB_n and vB_n, respectively), and the pure and non-pure flat braid groups ... More

Proof of a Conjectured Formula for the Alexander InvariantSep 04 2012Oct 09 2012In this paper we prove the validity of a formula for computing the Alexander invariant which was originally conjectured by Bar-Natan and Dancso in [BND].

Particle detectors in curved spacetime quantum field theorySep 27 2013Oct 15 2013Unruh-DeWitt particle detector models are studied in a variety of time-dependent and time-independent settings. We work within the framework of first-order perturbation theory and couple the detector to a massless scalar field. The necessity of switching ... More

Partitioning a Graph into Small Pieces with Applications to Path TransversalJul 18 2016Given a graph $G = (V, E)$ and an integer $k$, we study $k$-Vertex Seperator (resp. $k$-Edge Separator), where the goal is to remove the minimum number of vertices (resp. edges) such that each connected component in the resulting graph has at most $k$ ... More

Hardness of Graph Pricing through Generalized Max-DicutMay 04 2014Nov 05 2014The Graph Pricing problem is among the fundamental problems whose approximability is not well-understood. While there is a simple combinatorial 1/4-approximation algorithm, the best hardness result remains at 1/2 assuming the Unique Games Conjecture (UGC). ... More

Transition Probabilities of the Bethe Ansatz Solvable Interacting Particle SystemsNov 12 2010Oct 04 2011This paper presents the exact expressions of the transition probabilities of some non-determinantal Bethe ansatz solvable interacting particle systems: the two-sided PushASEP, the asymmetric avalanche process and the asymmetric zero range process. The ... More

Distribution of a particle's position in the ASEP with the {alternating} initial conditionApr 09 2010Sep 24 2010In this paper we give the distribution of the position of the particle in the asymmetric simple exclusion process (ASEP) with the alternating initial condition. That is, we find $\mathbb{P}(X_m(t) \leq x)$ where $X_m(t)$ is the position of the particle ... More

Nondecoupling of Heavy Mirror-FermionMar 11 1994According to one-loop perturbation theory, fermions whose masses are totally generated from Yukawa couplings do not decouple in the heavy mass limit. We investigate this issue nonperturbatively in the strong coupling regime of the chiral $U(1)$ mirror-fermion ... More

Every finite acyclic quiver is a full subquiver of a quiver mutation equivalent to a bipartite quiverOct 31 2013Nov 13 2013We give a very short proof of the claim in the title.

Describing Spin-Selective Reactions of Radical Pairs Using Quantum Jump ApproachesOct 11 2011Recently, spin-selective radical pair reactions have been studied using concepts from quantum measurement theory. In this Article, we show that the approach taken by Kominis (Physical Review E, 83, 2011, 056118) leads to erroneous results due to a problematic ... More

Some 3-dimensional transverse C-links (Constructions of higher-dimensional C-links, I)Aug 20 2015By use of a variety of techniques (most based on constructions of quasipositive knots and links, some old and others new), many smooth 3-manifolds are realized as transverse intersections of complex surfaces in complex 3-space with strictly pseudoconvex ... More

IDF revisited: A simple new derivation within the Robertson-Spärck Jones probabilistic modelMay 08 2007There have been a number of prior attempts to theoretically justify the effectiveness of the inverse document frequency (IDF). Those that take as their starting point Robertson and Sparck Jones's probabilistic model are based on strong or complex assumptions. ... More