common-pile/comma-v0.1-1t
7B • Updated • 1.64k • 27
text stringlengths 6 128k |
|---|
Chandra and VLA observations of the symbiotic star R Aqr in 2004 reveal
significant changes over the three to four year interval between these
observations and previous observations taken with the VLA in 1999 and with
Chandra in 2000. This paper reports on the evolution of the outer thermal X-ray
lobe-jets and radio ... |
In this paper, a quadratic pencil of Schr\"odinger type difference operator
$L_{\lambda}$ is taken under investigation to give a general perspective on the
spectral analysis of non-selfadjoint difference equations of second order.
Introducing Jost-type solutions, structural and quantitative properties of
spectrum of ... |
In recent times, I've encountered a principle known as cloud computing, a
model that simplifies user access to data and computing power on a demand
basis. The main objective of cloud computing is to accommodate users' growing
needs by decreasing dependence on human resources, minimizing expenses, and
enhancing the sp... |
Final states involving tau leptons are important components of searches for
new particles at the Large Hadron Collider (LHC). A proper treatment of tau
spin effects in the Monte Carlo (MC) simulations is important for understanding
the detector acceptance as well as for the measurements of tau polarization and
tau sp... |
We are concerned with the study of the existence and multiplicity of
solutions for Dirichlet boundary value problems, involving the $( p( m ), \, q(
m ) )-$ equation and the nonlinearity is superlinear but does not fulfil the
Ambrosetti-Rabinowitz condition in the framework of Sobolev spaces with
variable exponents i... |
This paper presents a general procedure based on using the method of types to
calculate the box dimension of sets. The approach unifies and simplifies
multiple box counting arguments. In particular, we use it to generalize the
formula for the box dimension of self-affine carpets of Gatzouras-Lalley and of
Bara\'nski ... |
Arithmetic progressions of length $3$ may be found in compact subsets of the
reals that satisfy certain Fourier -- as well as Hausdorff -- dimensional
requirements. It has been shown that a very similar result holds in the
integers under analogous conditions, with Fourier dimension being replaced by
the decay of a di... |
We measure by inelastic neutron scattering the spin excitation spectra as a
function of applied magnetic field in the quantum spin-ladder material
(C5H12N)2CuBr4. Discrete magnon modes at low fields in the quantum disordered
phase and at high fields in the saturated phase contrast sharply with a spinon
continuum at i... |
A variety of representation learning approaches have been investigated for
reinforcement learning; much less attention, however, has been given to
investigating the utility of sparse coding. Outside of reinforcement learning,
sparse coding representations have been widely used, with non-convex objectives
that result ... |
Recent works have studied implicit biases in deep learning, especially the
behavior of last-layer features and classifier weights. However, they usually
need to simplify the intermediate dynamics under gradient flow or gradient
descent due to the intractability of loss functions and model architectures. In
this paper... |
We perform simulations to test the effects of a moving gas filament on a
young star cluster (i.e. the "Slingshot" Model). We model Orion Nebula
Cluster-like clusters as Plummer spheres and the Integral Shaped Filament gas
as a cylindrical potential. We observe that in a static filament, an initially
spherical cluster... |
In this paper, we construct $2n-1$ locally indistinguishable orthogonal
product states in $\mathbb{C}^n\otimes\mathbb{C}^{4}~(n>4)$ and
$\mathbb{C}^n\otimes\mathbb{C}^{5}~(n\geq 5)$ respectively. Moreover, a set of
locally indistinguishable orthogonal product states with $2(n+2l)-8$ elements
in $\mathbb{C}^n\otimes\m... |
This thesis consists of two parts. The first part is about how quantum theory
can be recovered from first principles, while the second part is about the
application of diagrammatic reasoning, specifically the ZX-calculus, to
practical problems in quantum computing. The main results of the first part
include a reconst... |
Smooth primitively polarized $\mathrm{K3}$ surfaces of genus 36 are studied.
It is proved that all such surfaces $S$, for which there exists an embedding
$\mathrm{R} \hookrightarrow \mathrm{Pic}(S)$ of some special lattice
$\mathrm{R}$ of rank 2, are parameterized up to an isomorphism by some
18-dimensional uniration... |
The abundance of collapsed objects in the universe, or halo mass function, is
an important theoretical tool in studying the effects of primordially generated
non-Gaussianities on the large scale structure. The non-Gaussian mass function
has been calculated by several authors in different ways, typically by
exploiting... |
We discuss the potential for using microfabrication techniques for
laser-driven accelerator construction. We introduce microfabrication processes
in general, and then describe our investigation of a particular trial process.
We conclude by considering the issues microfabrication raises for possible
future structures.... |
Gravity/fluid correspondence becomes an important tool to investigate the
strongly correlated fluids. We carefully investigate the holographic fluids at
the finite cutoff surface by considering different boundary conditions in the
scenario of gravity/fluid correspondence. We find that the sonic velocity of
the bounda... |
We investigate some properties of regularity of homomorphisms of local
algebras over positive characteristic fields. We state a result of
monomialization of such a homomorphism between algebras of analytic or
algebraic power series. From this we deduce some extensions in positive
characteristic of results due to S. I... |
We extend the measurement range of optical correlation-domain reflectometry
(OCDR) by modulating the laser output frequency at two frequencies, while
preserving spatial resolution. We demonstrate distributed reflectivity sensing
with a ten-fold extended measurement range.
|
NGC 602 is an outstanding young open cluster in the Small Magellanic Cloud.
We have analyzed the new HI data taken with the Galactic Australian Square
Kilometre Array Pathfinder survey project at an angular resolution of 30". The
results show that there are three velocity components in the NGC 602 region. We
found th... |
We report that a triangular Fabry-Perot resonator filled with a parity-odd
linear anisotropic medium exhibiting the one-way light speed anisotropy acts as
a perfect diode. A Linear crystal such as the nematic liquid crystals whose
molecular structures break parity can exhibit the one-way light speed
anisotropy. The o... |
Coherent control is an optical technique to manipulate quantum states of
matter. The coherent control of 40-THz optical phonons in diamond was
demonstrated by using a pair of sub-10-fs optical pulses. The optical phonons
were detected via transient transmittance using a pump and probe protocol. The
optical and phonon... |
As early as the 1920's Marshall suggested that firms co-locate in cities to
reduce the costs of moving goods, people, and ideas. These 'forces of
agglomeration' have given rise, for example, to the high tech clusters of San
Francisco and Boston, and the automobile cluster in Detroit. Yet, despite its
importance for c... |
We present a formulation of special relativistic, dissipative hydrodynamics
(SRDHD) derived from the well-established M\"uller- Israel-Stewart (MIS)
formalism using an expansion in deviations from ideal behaviour. By re-summing
the non-ideal terms, our approach extends the Euler equations of motion for an
ideal fluid... |
This paper investigates the use of graph rewriting systems as a modelling
tool, and advocates the embedding of such systems in an interactive
environment. One important application domain is the modelling of biochemical
systems, where states are represented by port graphs and the dynamics is driven
by rules and strat... |
We investigate the minimal surface problem in the three dimensional
Heisenberg group, H, equipped with its standard Carnot-Caratheodory metric.
Using a particular surface measure, we characterize minimal surfaces in terms
of a sub-elliptic partial differential equation and prove an existence result
for the Plateau pr... |
We have investigated the collisional properties of 41K atoms at ultracold
temperature. To show the possibility to use 41K as a coolant, a Bose-Einstein
condensate of 41K atoms in the stretched state (F=2, m_F=2) was created for the
first time by direct evaporation in a magnetic trap. An upper bound of three
body loss... |
The electronic structure of Mn doped GaAs and GaN have been examined within a
multiband Hubbard model. By virtue of the positioning of the Mn d states, Mn
doped GaAs is found to belong to the p-d metal regime of the
Zaanen-Sawatzky-Allen phase diagram and its variants while Mn doping in GaN
belongs to the covalent in... |
The Drinfeld-Sokolov reduction method has been used to associate with $gl_n$
extensions of the matrix r-KdV system. Reductions of these systems to the fixed
point sets of involutive Poisson maps, implementing reduction of $gl_n$ to
classical Lie algebras of type $B, C, D$, are here presented. Modifications
correspond... |
We investigate the relationship between the emergence of chaos
synchronization and the information flow in dynamical systems possessing
homogeneous or heterogeneous global interactions whose origin can be external
(driven systems) or internal (autonomous systems). By employing general models
of coupled chaotic maps f... |
Generics express generalizations about the world (e.g., birds can fly) that
are not universally true (e.g., newborn birds and penguins cannot fly).
Commonsense knowledge bases, used extensively in NLP, encode some generic
knowledge but rarely enumerate such exceptions and knowing when a generic
statement holds or doe... |
We propose a criterion for optimal parameter selection in coarse-grained
models of proteins, and develop a refined elastic network model (ENM) of bovine
trypsinogen. The unimodal density-of-states distribution of the trypsinogen ENM
disagrees with the bimodal distribution obtained from an all-atom model;
however, the... |
We study theoretically the differential conductance at a junction between a
time reversal symmetry broken spin orbit coupled system with a tunable band gap
and a superconductor. We look for spin-dependent Andreev reflection (i.e,
sub-gap transport) and show that when various mass terms compete in energy,
there is sub... |
We study a variant of the Erd\H os unit distance problem, concerning angles
between successive triples of points chosen from a large finite point set.
Specifically, given a large finite set of $n$ points $E$, and a sequence of
angles $(\alpha_1,\ldots,\alpha_k)$, we give upper and lower bounds on the
maximum possible... |
A double stranded DNA molecule when pulled with a force acting on one end of
the molecule can become either partially or completely unzipped depending on
the magnitude of the force F. For a random DNA sequence, the number M of
unzipped base pairs goes as M~(F-Fc)^(-2) and diverges at the critical force Fc
with an exp... |
In this study, we propose a novel multi-modal end-to-end neural approach for
automated assessment of non-native English speakers' spontaneous speech using
attention fusion. The pipeline employs Bi-directional Recurrent Convolutional
Neural Networks and Bi-directional Long Short-Term Memory Neural Networks to
encode a... |
We briefly review the theoretical formulations and applications of the
Aharonov--Bohm effect and the Aharonov--Casher effect with emphasis on
mesoscopic physics. Topics relating to the Aharonov--Bohm effect include:
locality, periodicity, non-integrable phase factors, Abelian gauge theory,
interference, the spectrum ... |
We present a method for calculating the maximum elastic quadrupolar
deformations of relativistic stars, generalizing the previous Newtonian,
Cowling approximation integral given by [G. Ushomirsky et al., Mon. Not. R.
Astron. Soc. 319, 902 (2000)]. (We also present a method for Newtonian gravity
with no Cowling approx... |
An integral scheme for the efficient evaluation of two-center integrals over
contracted solid harmonic Gaussian functions is presented. Integral expressions
are derived for local operators that depend on the position vector of one of
the two Gaussian centers. These expressions are then used to derive the formula
for ... |
A knowledge graph (KG) consists of a set of interconnected typed entities and
their attributes. Recently, KGs are popularly used as the auxiliary information
to enable more accurate, explainable, and diverse user preference
recommendations. Specifically, existing KG-based recommendation methods target
modeling high-o... |
Recent years have witnessed a significant increase in the number of paper
submissions to computer vision conferences. The sheer volume of paper
submissions and the insufficient number of competent reviewers cause a
considerable burden for the current peer review system. In this paper, we learn
a classifier to predict... |
Let $S_n$ denote the symmetric group of degree $n$ with $n\geq 3$. Set
$S=\{c_n=(1\ 2\ldots \ n),c_n^{-1},(1\ 2)\}$. Let
$\Gamma_n=\mathrm{Cay}(S_n,S)$ be the Cayley graph on $S_n$ with respect to
$S$. In this paper, we show that $\Gamma_n$ ($n\geq 13$) is a normal Cayley
graph, and that the full automorphism group o... |
The results of a full simulation of an endcap Time-of-Flight detector upgrade
based on multigap resistive plate chambers for the BESIII experiment are
presented. The simulation and reconstruction software is based on Geant4 and
has been implemented into the BESIII Offline Software System. The results of
the simulatio... |
The two-dimensional regular and chaotic electro-convective flow states of a
dielectric liquid between two infinite parallel planar electrodes are
investigated using a two-relaxation-time lattice Boltzmann method. Positive
charges injected at the metallic planar electrode located at the bottom of the
dielectric liquid... |
Intrinsic noise in objective function and derivatives evaluations may cause
premature termination of optimization algorithms. Evaluation complexity bounds
taking this situation into account are presented in the framework of a
deterministic trust-region method. The results show that the presence of
intrinsic noise may... |
We study the KPZ equation on a torus and derive Gaussian fluctuations in
large time.
|
We explore the possibility that the large electroclinic effect observed in
ferroelectric liquid crystals arises from the presence of an ordered array of
disclination lines and walls. If the spacing of these defects is in the
subvisible range, this modulated phase would be similar macroscopically to a
smectic A phase.... |
Graph clustering is a fundamental problem that has been extensively studied
both in theory and practice. The problem has been defined in several ways in
literature and most of them have been proven to be NP-Hard. Due to their high
practical relevancy, several heuristics for graph clustering have been
introduced which... |
With its electrically tunable light absorption and ultrafast photoresponse,
graphene is a promising candidate for high-speed chip-integrated photonics. The
generation mechanisms of photosignals in graphene photodetectors have been
studied extensively in the past years. However, the knowledge about efficient
light con... |
In this paper, we show that there is a large class of fermionic systems for
which it is possible to find, for any dimension, a finite closed set of
eigenoperators and eigenvalues of the Hamiltonian. Then, the hierarchy of the
equations of motion closes and analytical expressions for the Green's functions
are obtained... |
In this note, we calculate the electronic properties of a realistic atomistic
model of amorphous graphene. The model contains odd membered rings,
particularly five and seven membered rings and no coordination defects. We show
that odd-membered rings increase the electronic density of states at the Fermi
level relativ... |
Having smaller energy density than batteries, supercapacitors have
exceptional power density and cyclability. Their energy density can be
increased using ionic liquids and electrodes with sub-nanometer pores, but this
tends to reduce their power density and compromise the key advantage of
supercapacitors. To help add... |
In the last years several proof of principle experiments have demonstrated
the advantages of quantum technologies respect to classical schemes. The
present challenge is to overpass the limits of proof of principle
demonstrations to approach real applications. This letter presents such an
achievement in the field of q... |
We investigate the thermodynamical behavior and the scaling symmetries of the
scalar dressed black brane (BB) solutions of a recently proposed, exactly
integrable Einstein-scalar gravity model [1], which also arises as
compactification of (p-1)-branes with a smeared charge. The extremal, zero
temperature, solution is... |
Recent experimental observation of weak ergodicity breaking in Rydberg atom
quantum simulators has sparked interest in quantum many-body scars -
eigenstates which evade thermalisation at finite energy densities due to novel
mechanisms that do not rely on integrability or protection by a global
symmetry. A salient fea... |
We construct a sequence of modular compactifications of the space of marked
trigonal curves by allowing the branch points to coincide to a given extent.
Beginning with the standard admissible cover compactification, the sequence
first proceeds through contractions of the boundary divisors and then through
flips of th... |
We investigate the R\'enyi entropy and entanglement entropy of an interval
with an arbitrary length in the canonical ensemble, microcanonical ensemble and
primary excited states at large energy density in the thermodynamic limit of a
two-dimensional large central charge $c$ conformal field theory. As a
generalization... |
The region of small transverse momentum in q-qbar- and gg-initiated processes
must be studied in the framework of resummation to account for the large,
logarithmically-enhanced contributions to physical observables. In this letter,
we study resummed differential cross-sections for Higgs production via
bottom-quark fu... |
Given an abelian $p$-group $G$ of rank $n$, we construct an action of the
torus $\mathbb{T}^n$ on the stable module $\infty$-category of
$G$-representations over a field of characteristic $p$. The homotopy fixed
points are given by the $\infty$-category of module spectra over the Tate
construction of the torus. The r... |
We present a novel approach to disentangle two key contributions to the
largest-scale anisotropy of the galaxy distribution: (i) the intrinsic dipole
due to clustering and anisotropic geometry, and (ii) the kinematic dipole due
to our peculiar velocity. Including the redshift and angular size of galaxies,
in addition... |
Insider threats are a growing concern for organizations due to the amount of
damage that their members can inflict by combining their privileged access and
domain knowledge. Nonetheless, the detection of such threats is challenging,
precisely because of the ability of the authorized personnel to easily conduct
malici... |
In this paper we consider a natural extremal graph theoretic problem of
topological sort, concerning the minimization of the (topological)
connectedness of the independence complex of graphs in terms of its dimension.
We observe that the lower bound $\frac{\dim(\mathcal{I}(G))}{2} - 2$ on the
connectedness of the ind... |
Drinfeld realisations are constructed for the quantum affine superalgebras of
the series ${\rm\mathfrak{osp}}(1|2n)^{(1)}$,${\rm\mathfrak{sl}}(1|2n)^{(2)}$
and ${\rm\mathfrak{osp}}(2|2n)^{(2)}$. By using the realisations, we develop
vertex operator representations and classify the finite dimensional irreducible
repre... |
We prove some uniqueness results for weak solutions to some classes of
parabolic Dirichlet problems.
|
We estimated the dynamical surface mass density (Sigma) at the solar
Galactocentric distance between 2 and 4 kpc from the Galactic plane, as
inferred from the observed kinematics of the thick disk. We find Sigma(z=2
kpc)=57.6+-5.8 Mo pc^-2, and it shows only a tiny increase in the z-range
considered by our investigat... |
We show that there exist exceptional collections of length 3 consisting of
line bundles on the three fake projective planes that have a 2-adic
uniformisation with torsion free covering group. We also compute the Hochschild
cohomology of the right orthogonal of the subcategory of the bounded derived
category of cohere... |
We introduce a family of trees that interpolate between the Bethe lattice and
$\bbZ$. We prove complete localization for the Anderson model on any member of
that family.
|
We consider a Graviweak Unification model with the assumption of the
existence of the hidden (invisible) sector of our Universe parallel to the
visible world. This Hidden World (HW) is assumed to be a Mirror World (MW) with
broken mirror parity. We start with a diffeomorphism invariant theory of a
gauge field valued ... |
Thuiller et al. analyzed the consequences of anticipated climate change on
plant, bird, and mammal phylogenetic diversity (PD) across Europe. They
concluded that species loss will not be clade specific across the Tree of Life,
and that there will not be an overall decline in PD across the whole of Europe.
We applaud ... |
The carrier mobility of anisotropic two-dimensional (2D) semiconductors under
longitudinal acoustic (LA) phonon scattering was theoretically studied with the
deformation potential theory. Based on Boltzmann equation with relaxation time
approximation, an analytic formula of intrinsic anisotropic mobility was
deduced,... |
We provide the first differentially private algorithms for controlling the
false discovery rate (FDR) in multiple hypothesis testing, with essentially no
loss in power under certain conditions. Our general approach is to adapt a
well-known variant of the Benjamini-Hochberg procedure (BHq), making each step
differenti... |
We consider the problem of distributedly estimating Gaussian processes in
multi-agent frameworks. Each agent collects few measurements and aims to
collaboratively reconstruct a common estimate based on all data. Agents are
assumed with limited computational and communication capabilities and to gather
$M$ noisy measu... |
An eikonal model has been used to assess the relationship between calculated
strengths for first forbidden beta decay and calculated cross sections for
(p,n) charge exchange reactions. It is found that these are proportional for
strong transitions, suggesting that hadronic charge exchange reactions may be
useful in d... |
We significantly strengthen results on the structure of matrix rings over
finite fields and apply them to describe the structure of the so-called weakly
$n$-torsion clean rings. Specifically, we establish that, for any field $F$
with either exactly seven or strictly more than nine elements, each matrix over
$F$ is pr... |
The isomeric first excited state of the isotope 229Th exhibits the lowest
nuclear excitation energy in the whole landscape of known atomic nuclei. For a
long time this energy was reported in the literature as 3.5(5) eV, however, a
new experiment corrected this energy to 7.6(5) eV, corresponding to a UV
transition wav... |
We study semiclassical correlation functions in Liouville field theory on a
two-sphere when all operators have large conformal dimensions. In the usual
approach, such computation involves solving the classical Liouville equation,
which is known to be extremely difficult for higher-point functions. To
overcome this di... |
For a positive integer $r$, a distance-$r$ independent set in an undirected
graph $G$ is a set $I\subseteq V(G)$ of vertices pairwise at distance greater
than $r$, while a distance-$r$ dominating set is a set $D\subseteq V(G)$ such
that every vertex of the graph is within distance at most $r$ from a vertex
from $D$. ... |
We have constructed an explicit see-saw model containing two singlet
neutrinos, one carrying a $(B-3L_e)$ gauge charge with an intermediate mass
scale of $\sim O(10^{10})$ GeV along with a sterile one near the GUT (grand
unification theory) scale of $\sim O(10^{16})$ GeV. With these mass scales and
a reasonable range... |
Self-organized synchronization is a ubiquitous collective phenomenon, in
which each unit adjusts their rhythms to achieve synchrony through mutual
interactions. The optomechanical systems, due to their inherently engineerable
nonlinearities, provide an ideal platform to study self-organized
synchronization. Here, we ... |
We consider combining two important methods for constructing
quasi-equilibrium initial data for binary black holes: the conformal
thin-sandwich formalism and the puncture method. The former seeks to enforce
stationarity in the conformal three-metric and the latter attempts to avoid
internal boundaries, like minimal s... |
We show how to construct fully symmetric, gapped states without topological
order on a honey- comb lattice for S = 1/2 spins using the language of
projected entangled pair states(PEPS). An explicit example is given for the
virtual bond dimension D = 4. Four distinct classes differing by lattice
quantum numbers are fo... |
Intense light-matter interactions and unique structural and electrical
properties make Van der Waals heterostructures composed by Graphene (Gr) and
monolayer transition metal dichalcogenides (TMD) promising building blocks for
tunnelling transistors, flexible electronics, as well as optoelectronic
devices, including ... |
We discuss the possibility of producing a new kind of nuclear system by
putting a few antibaryons inside ordinary nuclei. The structure of such systems
is calculated within the relativistic mean--field model assuming that the
nucleon and antinucleon potentials are related by the G-parity transformation.
The presence ... |
Let $M$ be a compact Hausdorff space. We prove that in this paper, every
self--adjoint matrix over $C(M)$ is approximately diagonalizable iff $\dim M\le
2$ and $\HO^2(M,\mathbb Z)\cong 0$. Using this result, we show that every
unitary matrix over $C(M)$ is approximately diagonalizable iff $\dim M\le 2$,
$\HO^1(M,\mat... |
Assume that $\D$ is a Krull-Schmidt, Hom-finite triangulated category with a
Serre functor and a cluster-tilting object $T$. We introduce the notion of
relative cluster tilting objects, and $T[1]$-cluster tilting objects in $\D$,
which are a generalization of cluster-tilting objects. When $\D$ is
$2$-Calabi-Yau, the ... |
The Fault Detection and Isolation Tools (FDITOOLS) is a collection of MATLAB
functions for the analysis and solution of fault detection and model detection
problems. The implemented functions are based on the computational procedures
described in the Chapters 5, 6 and 7 of the book: "A. Varga, Solving Fault
Diagnosis... |
Time-dependent quantum mechanics provides an intuitive picture of particle
propagation in external fields. Semiclassical methods link the classical
trajectories of particles with their quantum mechanical propagation. Many
analytical results and a variety of numerical methods have been developed to
solve the time-depe... |
Using a Coulomb gas method, we compute analytically the probability
distribution of the Renyi entropies (a standard measure of entanglement) for a
random pure state of a large bipartite quantum system. We show that, for any
order q>1 of the Renyi entropy, there are two critical values at which the
entropy's probabili... |
Materials with perpendicular magnetic anisotropy (PMA) effect with high Curie
temperature ($T_C$) is essential in applications. In this work, $Cr_2Te_3$ thin
films showing PMA with $T_C$ ranging from 165 K to 295 K were successfully
grown on $Al_2O_3$ by the molecular beam epitaxy (MBE) technique. The
structural anal... |
We propose a general framework leveraging the halo-galaxy connection to link
galaxies observed at different redshift in a statistical way, and use the link
to infer the redshift evolution of the galaxy population. Our tests based on
hydrodynamic simulations show that our method can accurately recover the
stellar mass... |
Homography estimation serves as a fundamental technique for image alignment
in a wide array of applications. The advent of convolutional neural networks
has introduced learning-based methodologies that have exhibited remarkable
efficacy in this realm. Yet, the generalizability of these approaches across
distinct doma... |
Gravitational lensing in a weak but otherwise arbitrary gravitational field
can be described in terms of a 3 x 3 tensor, the "effective refractive index".
If the sources generating the gravitational field all have small internal
fluxes, stresses, and pressures, then this tensor is automatically isotropic
and the "eff... |
A talk presents a new cosmological model with superstring-inspired $E_6$
unification, broken at the early stage of the Universe into $SO(10)\times
U(1)_Z$ -- into the ordinary world, and $SU(6)'\times SU(2)'_{\theta}$ -- into
the hidden world.
|
We will in this paper report on suggestive similarities between density
fluctuation power versus wavenumber on small (mm) and large (Mpc) scales. The
small scale measurements were made in fusion plasmas and compared to
predictions from classical fluid turbulence theory. The data is consistent with
the dissipative ran... |
Significant progress has been made in recent years on the development of
gravitational wave detectors. Sources such as coalescing compact binary
systems, neutron stars in low-mass X-ray binaries, stellar collapses and
pulsars are all possible candidates for detection. The most promising design of
gravitational wave d... |
In this paper, we propose an efficient mobility control algorithm for the
downlink multi-cell orthogonal frequency division multiplexing access (OFDMA)
system for co-channel interference reduction. It divides each cell into several
areas. The mobile nodes in each area find their own optimal position according
to thei... |
A new method for analyzing low density parity check (LDPC) codes and low
density generator matrix (LDGM) codes under bit maximum a posteriori
probability (MAP) decoding is introduced. The method is based on a rigorous
approach to spin glasses developed by Francesco Guerra. It allows to construct
lower bounds on the e... |
By using a suitable transform related to Sobolev inequality, we investigate
the sharp constants and optimizers in radial space for the following weighted
Caffarelli-Kohn-Nirenberg-type inequalities: \begin{equation*}
\int_{\mathbb{R}^N}|x|^{\alpha}|\Delta u|^2 dx \geq
S^{rad}(N,\alpha)\left(\int_{\mathbb{R}^N}|x|^{-\... |
Software testing is a critical element of software quality assurance and
represents the ultimate review of specification, design and coding. Software
testing is the process of testing the functionality and correctness of software
by running it. Software testing is usually performed for one of two reasons:
defect dete... |
In this article we study the time evolution of an interacting field
theoretical system, i.e. \phi^4-field theory in 2+1 space-time dimensions, on
the basis of the Kadanoff-Baym equations for a spatially homogeneous system
including the self-consistent tadpole and sunset self-energies. We find that
equilibration is ac... |
End of preview. Expand in Data Studio
YAML Metadata Warning:empty or missing yaml metadata in repo card
Check out the documentation for more information.
Comma v0.1 dataset
This repository contains the dataset used to train Comma v0.1-1T and Comma v0.1-2T. It is a slightly modified and consolidated version of the Common Pile v0.1 "filtered" data. If you are looknig for the raw Common Pile v0.1 data, please see this collection. You can learn more about Common Pile in our paper.
Mixing rates and token counts
The Comma v0.1 models were trained in two stages, a "main" stage and a "cooldown" stage. During each stage, we heuristically set mixing rates to up or downweight different sources. In the two tables below, we provide per-source token count, repeat rate, and effective token count (after up/downweighting) for the main and cooldown stage of the Comma v0.1-1T training run. For the Comma v0.1-2T training run, all sources are repeated 2x as many times in both stages. Token counts are as provided by the Comma v0.1 tokenizer; using a different tokenizer may change these counts significantly.
| Main stage | Tokens (B) | Repeats | Effective tokens (B) |
|---|---|---|---|
| arxiv_abstracts | 0.57 | 6 | 3.4 |
| arxiv_papers | 6.0 | 6 | 35.8 |
| biodiversity_heritage_library | 9.8 | 0.25 | 2.5 |
| caselaw_access_project | 19.7 | 1 | 19.7 |
| cccc | 15.2 | 6 | 91.4 |
| data_provenance_initiative | 0.92 | 6 | 5.5 |
| doab | 3.0 | 6 | 18.2 |
| foodista | 0.025 | 6 | 0.15 |
| github_archive | 11.0 | 6 | 66.1 |
| library_of_congress | 9.5 | 0.25 | 2.4 |
| libretexts | 0.093 | 6 | 0.56 |
| news | 0.064 | 6 | 0.38 |
| oercommons | 0.012 | 6 | 0.07 |
| peS2o | 43.3 | 6 | 260.0 |
| pre_1929_books | 12.4 | 1 | 12.4 |
| pressbooks | 0.14 | 6 | 0.86 |
| project_gutenberg | 5.7 | 1 | 5.7 |
| public_domain_review | 0.0017 | 6 | 0.010 |
| pubmed | 36.6 | 1 | 36.6 |
| python_enhancement_proposals | 0.0027 | 6 | 0.016 |
| regulations | 1.4 | 6 | 8.2 |
| stackexchange | 23.9 | 6 | 143.2 |
| stackv2_edu | 67.8 | 2 | 135.5 |
| stackv2_html | 1.2 | 2 | 2.5 |
| ubuntu_irc | 1.9 | 6 | 11.1 |
| uk_hansard | 2.3 | 6 | 14.0 |
| usgpo | 8.8 | 0.25 | 2.2 |
| uspto | 157.4 | 0.25 | 39.4 |
| wikimedia | 15.8 | 6 | 94.7 |
| wikiteam | 4.3 | 4 | 17.2 |
| youtube | 4.7 | 1 | 4.7 |
| Total | 463.6 | 1034.4 |
| Cooldown stage | Tokens (B) | Repeats | Effective tokens (B) |
|---|---|---|---|
| arxiv_papers | 6.0 | 0.5 | 3.0 |
| cccc | 15.2 | 0.3 | 4.6 |
| data_provenance_initiative | 0.92 | 2 | 1.8 |
| doab | 3.0 | 2 | 6.1 |
| foodista | 0.025 | 2 | 0.05 |
| libretexts | 0.093 | 2 | 0.19 |
| news | 0.064 | 2 | 0.13 |
| oercommons | 0.012 | 2 | 0.02 |
| peS2o | 43.3 | 0.1 | 4.3 |
| pressbooks | 0.14 | 2 | 0.29 |
| public_domain_review | 0.0017 | 2 | 0.003 |
| python_enhancement_proposals | 0.0027 | 2 | 0.005 |
| stackexchange | 23.9 | 0.25 | 6.0 |
| stackv2_edu | 67.8 | 0.1 | 6.8 |
| wikimedia | 15.8 | 0.4 | 6.3 |
| Total | 176.2 | 39.5 |
- Downloads last month
- 7,744
