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Using Cross-Model EgoSupervision to Learn Cooperative Basketball IntentionSep 05 2017We present a first-person method for cooperative basketball intention prediction: we predict with whom the camera wearer will cooperate in the near future from unlabeled first-person images. This is a challenging task that requires inferring the camera ... More

Adversarial Structure Matching Loss for Image SegmentationMay 18 2018The per-pixel cross-entropy loss (CEL) has been widely used in structured output prediction tasks as a spatial extension of generic image classification. However, its i.i.d. assumption neglects the structural regularity present in natural images. Various ... More

High-for-Low and Low-for-High: Efficient Boundary Detection from Deep Object Features and its Applications to High-Level VisionApr 23 2015Sep 21 2015Most of the current boundary detection systems rely exclusively on low-level features, such as color and texture. However, perception studies suggest that humans employ object-level reasoning when judging if a particular pixel is a boundary. Inspired ... More

Exploiting Egocentric Object Prior for 3D Saliency DetectionNov 09 2015On a minute-to-minute basis people undergo numerous fluid interactions with objects that barely register on a conscious level. Recent neuroscientific research demonstrates that humans have a fixed size prior for salient objects. This suggests that a salient ... More

Semantic Segmentation with Boundary Neural FieldsNov 09 2015May 24 2016The state-of-the-art in semantic segmentation is currently represented by fully convolutional networks (FCNs). However, FCNs use large receptive fields and many pooling layers, both of which cause blurring and low spatial resolution in the deep layers. ... More

Global existence and regularity estimate for stochastic Cahn--Hilliard equation with unbounded noise diffusionJul 04 2019In this article, we consider the stochastic Cahn--Hilliard equation driven by multiplicative space-time white noise with diffusion coefficient of sublinear growth. By introducing the spectral Galerkin method, we first obtain the well-posedness of the ... More

Exploiting Visual-Spatial First-Person Co-Occurrence for Action-Object Detection without LabelsNov 16 2016Many first-person vision tasks such as activity recognition or video summarization requires knowing, which objects the camera wearer is interacting with (i.e. action-objects). The standard way to obtain this information is via a manual annotation, which ... More

Future Localization from an Egocentric Depth ImageSep 07 2015This paper presents a method for future localization: to predict a set of plausible trajectories of ego-motion given a depth image. We predict paths avoiding obstacles, between objects, even paths turning around a corner into space behind objects. As ... More

Customizing First Person Image Through Desired ActionsApr 01 2017This paper studies a problem of inverse visual path planning: creating a visual scene from a first person action. Our conjecture is that the spatial arrangement of a first person visual scene is deployed to afford an action, and therefore, the action ... More

Object Detection in Video with Spatiotemporal Sampling NetworksMar 15 2018Jul 24 2018We propose a Spatiotemporal Sampling Network (STSN) that uses deformable convolutions across time for object detection in videos. Our STSN performs object detection in a video frame by learning to spatially sample features from the adjacent frames. This ... More

DeepEdge: A Multi-Scale Bifurcated Deep Network for Top-Down Contour DetectionDec 02 2014Apr 23 2015Contour detection has been a fundamental component in many image segmentation and object detection systems. Most previous work utilizes low-level features such as texture or saliency to detect contours and then use them as cues for a higher-level task ... More

Egocentric Basketball Motion Planning from a Single First-Person ImageMar 04 2018We present a model that uses a single first-person image to generate an egocentric basketball motion sequence in the form of a 12D camera configuration trajectory, which encodes a player's 3D location and 3D head orientation throughout the sequence. To ... More

Cosmology in Poincare gauge gravity with a pseudoscalar torsionJan 09 2016May 04 2016A cosmology of Poincare gauge theory is developed, where several properties of universe corresponding to the cosmological equations with the pseudoscalar torsion function are investigated. The cosmological constant is found to be the intrinsic torsion ... More

Learning Temporal Pose Estimation from Sparsely-Labeled VideosJun 06 2019Modern approaches for multi-person pose estimation in video require large amounts of dense annotations. However, labeling every frame in a video is costly and labor intensive. To reduce the need for dense annotations, we propose a PoseWarper network that ... More

Monocular 3D Pose Recovery via Nonconvex Sparsity with Theoretical AnalysisDec 29 2018For recovering 3D object poses from 2D images, a prevalent method is to pre-train an over-complete dictionary $\mathcal D=\{B_i\}_i^D$ of 3D basis poses. During testing, the detected 2D pose $Y$ is matched to dictionary by $Y \approx \sum_i M_i B_i$ where ... More

Learning Discriminative Motion Features Through DetectionDec 11 2018Despite huge success in the image domain, modern detection models such as Faster R-CNN have not been used nearly as much for video analysis. This is arguably due to the fact that detection models are designed to operate on single frames and as a result ... More

Local Perturb-and-MAP for Structured PredictionMay 24 2016Oct 13 2016Conditional random fields (CRFs) provide a powerful tool for structured prediction, but cast significant challenges in both the learning and inference steps. Approximation techniques are widely used in both steps, which should be considered jointly to ... More

Convolutional Random Walk Networks for Semantic Image SegmentationMay 24 2016Most current semantic segmentation methods rely on fully convolutional networks (FCNs). However, the use of large receptive fields and many pooling layers, cause blurring and low spatial resolution inside the deep layers, which often lead to spatially ... More

Convolutional Random Walk Networks for Semantic Image SegmentationMay 24 2016Nov 16 2016Most current semantic segmentation methods rely on fully convolutional networks (FCNs). However, their use of large receptive fields and many pooling layers cause low spatial resolution inside the deep layers. This leads to predictions with poor localization ... More

Unsupervised Learning of Important Objects from First-Person VideosNov 16 2016Aug 02 2017A first-person camera, placed at a person's head, captures, which objects are important to the camera wearer. Most prior methods for this task learn to detect such important objects from the manually labeled first-person data in a supervised fashion. ... More

Convolutional Random Walk Networks for Semantic Image SegmentationMay 24 2016May 08 2017Most current semantic segmentation methods rely on fully convolutional networks (FCNs). However, their use of large receptive fields and many pooling layers cause low spatial resolution inside the deep layers. This leads to predictions with poor localization ... More

First Person Action-Object Detection with EgoNetMar 15 2016Objects afford visual sensation and motor actions. A first person camera, placed at the person's head, captures unscripted moments of our visual sensorimotor object interactions. Can a single first person image tell us about our momentary visual attention ... More

Zoom-In-to-Check: Boosting Video Interpolation via Instance-level DiscriminationDec 04 2018Apr 28 2019We propose a light-weight video frame interpolation algorithm. Our key innovation is an instance-level supervision that allows information to be learned from the high-resolution version of similar objects. Our experiment shows that the proposed method ... More

Trajectory Normalized Gradients for Distributed OptimizationJan 24 2019Recently, researchers proposed various low-precision gradient compression, for efficient communication in large-scale distributed optimization. Based on these work, we try to reduce the communication complexity from a new direction. We pursue an ideal ... More

Social Behavior Prediction from First Person VideosNov 29 2016This paper presents a method to predict the future movements (location and gaze direction) of basketball players as a whole from their first person videos. The predicted behaviors reflect an individual physical space that affords to take the next actions ... More

A Poincare-Starobinsky-Yang-Mills type model of dark energyJan 12 2014Jan 05 2016Starting from the Poincare Gauge principle and a Starobinsky-Yang-Mills type Lagrangian a model of dark energy is developed. In order to evade any unnecessary controversy regarding frames (i.e. Einstein .vs. Jordan) the theory is treated using the original ... More

Consistent Optimization for Single-Shot Object DetectionJan 19 2019Jan 23 2019We present consistent optimization for single stage object detection. Previous works of single stage object detectors usually rely on the regular, dense sampled anchors to generate hypothesis for the optimization of the model. Through an examination of ... More

Enhanced generative adversarial network for 3D brain MRI super-resolutionJul 10 2019Single image super-resolution (SISR) reconstruction for magnetic resonance imaging (MRI) has generated significant interest because of its potential to not only speed up imaging but to improve quantitative processing and analysis of available image data. ... More

Am I a Baller? Basketball Performance Assessment from First-Person VideosNov 16 2016Aug 02 2017This paper presents a method to assess a basketball player's performance from his/her first-person video. A key challenge lies in the fact that the evaluation metric is highly subjective and specific to a particular evaluator. We leverage the first-person ... More

First Person Action-Object Detection with EgoNetMar 15 2016Jun 10 2017Unlike traditional third-person cameras mounted on robots, a first-person camera, captures a person's visual sensorimotor object interactions from up close. In this paper, we study the tight interplay between our momentary visual attention and motor action ... More

Am I a Baller? Basketball Skill Assessment using First-Person CamerasNov 16 2016Skill assessment is a fundamental problem in sports like basketball. Nowadays, basketball skill assessment is handled by basketball experts who evaluate a player's skill from unscripted third-person basketball game videos. However, due to a large distance ... More

Am I a Baller? Basketball Skill Assessment using First-Person CamerasNov 16 2016Nov 17 2016Skill assessment is a fundamental problem in sports like basketball. Nowadays, basketball skill assessment is handled by basketball experts who evaluate a player's skill from unscripted third-person basketball game videos. However, due to a large distance ... More

First Person Action-Object Detection with EgoNetMar 15 2016Nov 16 2016A first-person camera, placed at the person's head, captures our visual sensorimotor object interactions. Can a single first-person image tell us about our momentary visual attention and motor action with objects, without a gaze tracking device or tactile ... More

Normalized DiversificationApr 07 2019Generating diverse yet specific data is the goal of the generative adversarial network (GAN), but it suffers from the problem of mode collapse. We introduce the concept of normalized diversity which forced the model to preserve the normalized pairwise ... More

Zoom-In-to-Check: Boosting Video Interpolation via Instance-level DiscriminationDec 04 2018We propose a light-weight video frame interpolation algorithm. Our key innovation is an instance-level supervision that allows information to be learned from the high-resolution version of similar objects. Our experiment shows that the proposed method ... More

Normalized DiversificationApr 07 2019Apr 10 2019Generating diverse yet specific data is the goal of the generative adversarial network (GAN), but it suffers from the problem of mode collapse. We introduce the concept of normalized diversity which force the model to preserve the normalized pairwise ... More

FoveaBox: Beyond Anchor-based Object DetectorApr 08 2019We present FoveaBox, an accurate, flexible and completely anchor-free framework for object detection. While almost all state-of-the-art object detectors utilize the predefined anchors to enumerate possible locations, scales and aspect ratios for the search ... More

Enhanced generative adversarial network for 3D brain MRI super-resolutionJul 10 2019Jul 15 2019Single image super-resolution (SISR) reconstruction for magnetic resonance imaging (MRI) has generated significant interest because of its potential to not only speed up imaging but to improve quantitative processing and analysis of available image data. ... More

Neural Embedding for Physical ManipulationsJul 13 2019In common real-world robotic operations, action and state spaces can be vast and sometimes unknown, and observations are often relatively sparse. How do we learn the full topology of action and state spaces when given only few and sparse observations? ... More

Machine learning forces trained by Gaussian process in liquid states: Transferability to temperature and pressureOct 12 2018We study a generalization performance of the machine learning (ML) model to predict the atomic forces within the density functional theory (DFT). The targets are the Si and Ge single component systems in the liquid state. To train the machine learning ... More

A Distance for HMMs based on Aggregated Wasserstein Metric and State RegistrationAug 05 2016We propose a framework, named Aggregated Wasserstein, for computing a dissimilarity measure or distance between two Hidden Markov Models with state conditional distributions being Gaussian. For such HMMs, the marginal distribution at any time spot follows ... More

Machine learning of hierarchical clustering to segment 2D and 3D imagesMar 25 2013Jul 23 2013We aim to improve segmentation through the use of machine learning tools during region agglomeration. We propose an active learning approach for performing hierarchical agglomerative segmentation from superpixels. Our method combines multiple features ... More

EncryptGAN: Image Steganography with Domain TransformMay 28 2019May 29 2019We propose an image steganographic algorithm called EncryptGAN, which disguises private image communication in an open communication channel. The insight is that content transform between two very different domains (e.g., face to flower) allows one to ... More

When AWGN-based Denoiser Meets Real NoisesApr 06 2019Discriminative learning based image denoisers have achieved promising performance on synthetic noise such as the additive Gaussian noise. However, their performance on images with real noise is often not satisfactory. The main reason is that real noises ... More

EncryptGAN: Image Steganography with Domain TransformMay 28 2019We propose an image steganographic algorithm called EncryptGAN, which disguises private image communication in an open communication channel. The insight is that content transform between two very different domains (e.g., face to flower) allows one to ... More

FusionAccel: A General Re-configurable Deep Learning Inference Accelerator on FPGA for Convolutional Neural NetworksJul 04 2019The deep learning accelerator is one of the methods to accelerate deep learning network computations, which is mainly based on convolutional neural network acceleration. To address the fact that concurrent convolutional neural network accelerators are ... More

The stable homotopy groups of $2$-stage Postnikov systemsOct 08 2014Oct 09 2014The purpose of this note is to give a description of the stable homotopy group of some $2$-stage Postnikov systems for a range of dimensions. The considered $2$-stage Postnikov systems has the (weak) homotopy type of a generalized Eilenberg-Mac lane space, ... More

Delayed formation of coherent LO phonon-plasmon coupled modes in n-type and p-type GaAs measured using a femtosecond coherent control techniqueAug 22 2011Dec 19 2012Coherent control experiments using a pair of collinear femtosecond laser pulses have been carried out to manipulate longitudinal optical (LO) phonon-plasmon coupled (LOPC) modes in both p- and n-type GaAs. By tuning the interpulse separation, remarkably ... More

Multiple Closed-Form Local Metric Learning for K-Nearest Neighbor ClassifierNov 12 2013Many researches have been devoted to learn a Mahalanobis distance metric, which can effectively improve the performance of kNN classification. Most approaches are iterative and computational expensive and linear rigidity still critically limits metric ... More

Network Decoupling: From Regular to Depthwise Separable ConvolutionsAug 16 2018Depthwise separable convolution has shown great efficiency in network design, but requires time-consuming training procedure with full training-set available. This paper first analyzes the mathematical relationship between regular convolutions and depthwise ... More

A Faster Drop-in Implementation for Leaf-wise Exact Greedy Induction of Decision Tree Using Pre-sorted DequeDec 19 2017Dec 20 2017This short article presents a new implementation for decision trees. By introducing pre-sorted deques, the leaf-wise greedy tree growing strategy no longer needs to re-sort data at each node, and takes O(kn) time and O(1) extra memory locating the best ... More

Remarks on 5-dimensional complete intersectionsNov 19 2013This paper will give some examples of diffeomorphic complex 5-dimensional complete intersections and remarks on these examples. Then a result on the existence of diffeomorphic complete intersections that belong to components of the moduli space of different ... More

Connecting Software Metrics across Versions to Predict DefectsDec 28 2017Accurate software defect prediction could help software practitioners allocate test resources to defect-prone modules effectively and efficiently. In the last decades, much effort has been devoted to build accurate defect prediction models, including ... More

Solar system constraints on asymptotically flat IR modified Horava gravity through light deflectionOct 29 2010Nov 15 2010In this paper, we study the motion of photons around a Kehagias-Sfetsos (KS) black hole and obtain constraints on IR modified Ho$\check{r}$ava gravity without cosmological constant ($\sim \Lambda_{W}$). An analytic formula for the light deflection angle ... More

Cosmological constraints on the generalized holographic dark energyMar 22 2012We use the Markov ChainMonte Carlo method to investigate global constraints on the generalized holographic (GH) dark energy with flat and non-flat universe from the current observed data: the Union2 dataset of type supernovae Ia (SNIa), high-redshift ... More

Linearized modified gravity theories and gravitational waves physics in the GBD theoryApr 03 2019Using the method of the weak-field approximation, we explore the linearized physics in the generalized Brans-Dicke (abbreviated as GBD) theory. The GBD theory is obtained with replacing the Ricci scalar $R$ in the original Brans-Dicke (BD) action by an ... More

Image Semantic Transformation: Faster, Lighter and StrongerMar 27 2018We propose Image-Semantic-Transformation-Reconstruction-Circle(ISTRC) model, a novel and powerful method using facenet's Euclidean latent space to understand the images. As the name suggests, ISTRC construct the circle, able to perfectly reconstruct images. ... More

LSTM Pose MachinesDec 18 2017Mar 09 2018We observed that recent state-of-the-art results on single image human pose estimation were achieved by multi-stage Convolution Neural Networks (CNN). Notwithstanding the superior performance on static images, the application of these models on videos ... More

Design and Application of Variable Temperature Environmental Capsule for Scanning Electron Microscopy in Gases and Liquids at Ambient ConditionsJan 05 2015Jan 08 2015Scanning electron microscopy (SEM) of nanoscale objects in their native conditions and at different temperatures are of critical importance in revealing details of their interactions with ambient environments. Currently available environmental capsules ... More

Temperature effect on the coupling between coherent longitudinal phonons and plasmons in n- and p-type GaAsApr 14 2018The coupling between longitudinal optical (LO) phonons and plasmons plays a fundamental role in determining the performance of doped semiconductor devices. In this work, we report a comparative investigation into the dependence of the coupling on temperature ... More

On the Approximation Theory of Linear Variational Subspace DesignJun 28 2015Solving large-scale optimization on-the-fly is often a difficult task for real-time computer graphics applications. To tackle this challenge, model reduction is a well-adopted technique. Despite its usefulness, model reduction often requires a handcrafted ... More

Diabetic Retinopathy Detection via Deep Convolutional Networks for Discriminative Localization and Visual ExplanationMar 31 2017Apr 03 2017We proposed a deep learning method for interpretable diabetic retinopathy (DR) detection. The visual-interpretable feature of the proposed method is achieved by adding the regression activation map (RAM) after the global averaging pooling layer of the ... More

Strong and weak convergence rates of finite element method for stochastic partial differential equation with non-sided Lipschitz coefficientJun 05 2018May 31 2019Strong and weak approximation errors of a spatial finite element method are analyzed for stochastic partial differential equations(SPDEs) with one-sided Lipschitz coefficients, including the stochastic Allen--Cahn equation, driven by additive noise. In ... More

Geometrical Diagnostics for Generalized Chaplygin GasDec 11 2008Apr 20 2010A new diagnostic method, $Om$ is applied to generalized Chaplygin gas (GCG) model as the unification of dark matter and dark energy. On the basis of the recently observed data: the Union supernovae, the observational Hubble data, the SDSS baryon acoustic ... More

Geometrical realization of diffeomorphic (homeomorphic) low dimensional complete intersectionsNov 22 2014Nov 30 2014This paper aims to give some examples of diffeomorphic (or homeomorphic) low-dimensional complete intersections, which can be considered as a geometrical realization of classification theorems about complete intersections. A conjecture of Libgober and ... More

ARBEE: Towards Automated Recognition of Bodily Expression of Emotion In the WildAug 28 2018Jul 09 2019Humans are arguably innately prepared to comprehend others' emotional expressions from subtle body movements. If robots or computers can be empowered with this capability, a number of robotic applications become possible. Automatically recognizing human ... More

Tubeless Siphon Flow of Room Temperature Liquid MetalOct 08 2018Tubeless siphon flow of liquid metal was made possible by way of sucking the fluid via a syringe pump with a rubber tube. Through adjusting the flow rate and tube diameter, the liquid column height and diameter can be changed accordingly. A theoretical ... More

A Universal Relation of Dust Obscuration Across Cosmic TimeMar 12 2019We investigate dust obscuration as parameterised by the infrared excess IRX$\equiv$$L_{\rm IR}/L_{\rm UV}$ in relation to global galaxy properties, using a sample of $\sim$32$\,$000 local star-forming galaxies (SFGs) selected from SDSS, GALEX and WISE. ... More

Cosmological constraints on generalized Chaplygin gas model: Markov Chain Monte Carlo approachApr 20 2010We use the Markov Chain Monte Carlo method to investigate a global constraints on the generalized Chaplygin gas (GCG) model as the unification of dark matter and dark energy from the latest observational data: the Constitution dataset of type supernovae ... More

Active Learning of Strict Partial Orders: A Case Study on Concept Prerequisite RelationsJan 19 2018Strict partial order is a mathematical structure commonly seen in relational data. One obstacle to extracting such type of relations at scale is the lack of large-scale labels for building effective data-driven solutions. We develop an active learning ... More

Analysis of A Splitting Scheme for Damped Stochastic Nonlinear Schrödinger Equation with Multiplicative NoiseNov 01 2017Jun 04 2018In this paper, we investigate the damped stochastic nonlinear Schr\"odinger(NLS) equation with multiplicative noise and its splitting-based approximation. When the damped effect is large enough, we prove that the solutions of the damped stochastic NLS ... More

Low-Cost Compressive Sensing for Color Video and DepthFeb 27 2014A simple and inexpensive (low-power and low-bandwidth) modification is made to a conventional off-the-shelf color video camera, from which we recover {multiple} color frames for each of the original measured frames, and each of the recovered frames can ... More

Unquenching effects in the quark and gluon propagatorMay 29 2007In this work we examine the Fat-Link Irrelevant Clover (FLIC) overlap quark propagator and the gluon propagator on both dynamical and quenched lattices. The tadpole-improved Luscher-Weisz gauge action is used in both cases. The dynamical gauge fields ... More

The FLIC Overlap Quark PropagatorDec 14 2004FLIC overlap fermions are a variant of the standard (Wilson) overlap action, with the FLIC (Fat Link Irrelevant Clover) action as the overlap kernel rather than the Wilson action. The structure of the FLIC overlap fermion propagator in momentum space ... More

Strong and weak convergence rates of finite element method for stochastic partial differential equation with non-sided Lipschitz coefficientJun 05 2018Feb 07 2019Strong and weak approximation errors of a spatial finite element method are analyzed for the stochastic partial differential equations(SPDEs) with one-sided Lipschitz coefficients, including the stochastic Allen--Cahn equation, driven by additive noise. ... More

Adaptive Temporal Compressive Sensing for VideoFeb 14 2013Oct 15 2013This paper introduces the concept of adaptive temporal compressive sensing (CS) for video. We propose a CS algorithm to adapt the compression ratio based on the scene's temporal complexity, computed from the compressed data, without compromising the quality ... More

On constant factor approximation for earth mover distance over doubling metricsFeb 22 2010Given a metric space $(X,d_X)$, the earth mover distance between two distributions over $X$ is defined as the minimum cost of a bipartite matching between the two distributions. The doubling dimension of a metric $(X, d_X)$ is the smallest value $\alpha$ ... More

New thoughts on an old riddle: what determines genetic diversity within and between species?Oct 20 2015Oct 21 2015The question of what determines genetic diversity both between and within species has long remained unsolved by the modern evolutionary theory (MET). However, it has not deterred researchers from producing interpretations of genetic diversity by using ... More

A growth-fragmentation model related to Ornstein-Uhlenbeck type processesFeb 03 2017Growth-fragmentation processes describe the evolution of particles that grow and divide randomly as time proceeds. Unlike previous studies, which have focused mainly on the self-similar case, we introduce a new type of growth-fragmentation which is closely ... More

Fuglede's conjecture holds on cyclic groups $\mathbb{Z}_{pqr}$May 29 2018Jul 23 2018We prove that on cyclic groups of square-free order, a tile is a spectral set. Moreover, we prove that the converse also holds on cyclic groups $\mathbb{Z}_{pqr}$ with $p,q,r$ distinct primes, that is to say, a spectral set is also a tile. As a consequence, ... More

Convergence of measures under diagonal actions on homogeneous spacesMar 07 2011Jul 17 2014Let $\lambda$ be a probability measure on $\mathbb T^{n-1}$ where $n=2$ or 3. Suppose $\lambda$ is invariant, ergodic and has positive entropy with respect to the linear transformation defined by a hyperbolic matrix. We get a measure $\mu $ on $SL_n(\mathbb ... More

Vacuum Fluctuations and the Cosmological ConstantMay 12 2005Apr 29 2006The hypothesis is proposed that under the approximation that the quantum equations of motion reduce to the classical ones, the quantum vacuum also reduces to the classical vacuum--the empty space. The vacuum energy of QED is studied under this hypothesis. ... More

The outer profile of dark matter halos: an analytical approachMar 05 2016Jun 13 2016A steepening feature in the outer density profiles of dark matter halos indicating the splashback radius has drawn much attention recently. Possible observational detections have even been made for galaxy clusters. Theoretically, Adhikari et al. have ... More

The Proximity Effect of QSO Metal Line Absorption Systems on Lyman $α$ ForestsDec 06 1995The proximity effect of metal line absorption systems in spectra of high redshift quasars and quasar pairs is investigated through the distribution of \Lyalpha forests. No strong proximity effect is found down to 500 km/sec away from a metal line absorption ... More

Chaotic Amplification of Neutrino Chemical Potentials by Neutrino Oscillations in Big Bang NucleosynthesisFeb 26 1996We investigate in detail the parameter space of active-sterile neutrino oscillations that amplifies neutrino chemical potentials at the epoch of Big Bang Nucleosynthesis. We calculate the magnitude of the amplification and show evidences of chaos in the ... More

Can globular clusters be as young as 10 Gyr?--The Uncertainties in the Age of Globular Clusters from Their Helium Abundance and Mass LossSep 29 1994Oct 09 1994The age of globular clusters inferred from observations depends sensitively on assumptions such as the initial helium abundance and the mass loss rate. A high helium abundance (e.g., $Y\approx$0.28), as well as an inclusion of helium diffusion and oxygen-enhancement ... More

An epiperimetric inequality approach to the parabolic Signorini problemOct 28 2018In this note, we use an epiperimetric inequality approach to study the regularity of the free boundary for the parabolic Signorini problem. We show that if the "vanishing order" of a solution at a free boundary point is close to $3/2$ or an even integer, ... More

Comparing K-Nearest Neighbors and Potential Energy Method in classification problem. A case study using KNN applet by E.M. Mirkes and real life benchmark data setsNov 05 2012K-nearest neighbors (KNN) method is used in many supervised learning classification problems. Potential Energy (PE) method is also developed for classification problems based on its physical metaphor. The energy potential used in the experiments are Yukawa ... More

Einstein-Podolsky-Rosen State of Neutral Mesons: The Entangled Partner of K_L Is Not K_SFeb 14 2012Apr 01 2012In a $\phi$ factory, neutral kaons are produced in Einstein-Podolsky-Rosen (EPR) states, furthermore, a $K_S$ is tagged if its entangled partner is detected as $K_L$, and vice versa. Here we point out that upon its detection as $K_L$, one of the EPR-entangled ... More

Orientation data for local P2Sep 06 2018In this note, we show that the canonical orientation data on the quiver hearts are compatible under the autoequivalence $\_\otimes\pi^*O(1)$, and hence glue to give an orientation data for the stack of coherent sheaves on local P2.

Effects of thermal fluctuation and the receptor-receptor interaction in bacterial chemotactic signalling and adaptationMar 13 2001Jul 31 2001Bacterial chemotaxis is controlled by the conformational changes of the receptors, in response to the change of the ambient chemical concentration. In a statistical mechanical approach, the signalling due to the conformational changes is a thermodynamic ... More

Clustering and Signalling of Cell ReceptorsJul 15 2000Jun 01 2002As a response to ligand binding, transmembrane cell receptors often enhance their clustering, or oligomerization, during the signalling process. Here we present a statistical mechanical model which combines the aspects of clustering and signalling. In ... More

SO(4) symmetry and off-diagonal long-range order in the Hubbard bilayerMar 02 1997Yang's $\eta$ pairing operator is generalized to explore off-diagonal long-range order in the Hubbard bilayer with an arbitrary chemical potential. With this operator and a constraint condition on annihilation and creation operators, we construct explicitly ... More

All Entanglements in a Multipartite SystemJan 18 2002Sep 12 2002For a multipartite system, we sort out all possible entanglements, each of which is among a set of subsystems. Each entanglement can be measured by a generalized relative entropy of entanglement, which is conserved on average under reversible local operations ... More

Entropy lower bounds of quantum decision tree complexityAug 23 2000Oct 09 2000We prove a general lower bound of quantum decision tree complexity in terms of some entropy notion. We regard the computation as a communication process in which the oracle and the computer exchange several rounds of messages, each round consisting of ... More

On the number of large triangles in the Brownian triangulation and fragmentation processesNov 14 2014Jul 03 2015The Brownian triangulation is a random compact subset of the unit disk introduced by Aldous. For $\epsilon>0$, let $N(\epsilon)$ be the number of triangles whose sizes (measured in different ways) are greater than $\epsilon$ in the Brownian triangulation. ... More

Asymptotic Joint Distribution of Extreme Eigenvalues of the Sample Covariance Matrix in the Spiked Population ModelJul 18 2012In this paper, we consider a data matrix $X\in\mathbb{C}^{N\times M}$ where all the columns are i.i.d. samples being $N$ dimensional complex Gaussian of mean zero and covariance $\Sigma\in\mathbb{C}^{N\times N}$. Here the population matrix $\Sigma$ is ... More

Growth-fragmentation processes and bifurcatorsMar 28 2016Jun 25 2016Markovian growth-fragmentation processes introduced by Bertoin model a system of growing and splitting cells in which the size of a typical cell evolves as a Markov process $X$ without positive jumps. We find that two growth-fragmentation processes associated ... More

The hypersurfaces with conformal normal Gauss map in H^n+1 and S_{1}^{n+1}Oct 31 2006Nov 14 2006In this paper we introduce the fourth fundamental form for the hypersurfaces in $H^{n+1}$ and the space-like hypersurfaces in $S_{1}^{n+1}$ and discuss the conformality of the normal Gauss maps of the hypersurfaces in $H^{n+1}$ and $S_{1}^{n+1}$. Particularly, ... More

On Uniform Capacitated $k$-Median Beyond the Natural LP RelaxationSep 23 2014Oct 17 2014In this paper, we study the uniform capacitated $k$-median problem. Obtaining a constant approximation algorithm for this problem is a notorious open problem; most previous works gave constant approximations by either violating the capacity constraints ... More