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2014-11-05 | Kalman Filtering over Gilbert-Elliott Channels: Stability Conditions and the Critical Curve | This paper investigates the stability of Kalman filtering over
Gilbert-Elliott channels where random packet drop follows a time-homogeneous
two-state Markov chain whose state transition is determined by a pair of
failure and recovery rates. First of all, we establish a relaxed condition
guaranteeing peak-covariance sta... | 1411.1217v1 |
2015-01-21 | Lévy walks on lattices as multi-state processes | Continuous-time random walks combining diffusive scattering and ballistic
propagation on lattices model a class of L\'evy walks. The assumption that
transitions in the scattering phase occur with exponentially-distributed
waiting times leads to a description of the process in terms of multiple
states, whose distributio... | 1501.05216v1 |
2015-01-31 | Bases and Structure Constants of Generalized Splines with Integer Coefficients on Cycles | An integer generalized spline is a set of vertex labels on an edge-labeled
graph that satisfy the condition that if two vertices are joined by an edge,
the vertex labels are congruent modulo the edge label. Foundational work on
these objects comes from Gilbert, Polster, and Tymoczko, who generalize ideas
from geometry/... | 1502.00176v1 |
2015-03-02 | An Anisotropic Landau-Lifschitz-Gilbert model of dissipation in qubits | We derive a microscopic model for dissipative dynamics in a system of
mutually interacting qubits coupled to a thermal bath that generalises the
dissipative model of Landau-Lifschitz-Gilbert to the case of anisotropic bath
couplings. We show that the dissipation acts to bias the quantum trajectories
towards a reduced p... | 1503.00651v2 |
2015-03-25 | Optimising the neutron environment of Radiation Portal Monitors: a computational optimisation study | Efficient and reliable detection of radiological or nuclear threats is a
crucial part of national and international efforts to prevent terrorist
activities. Radiation Portal Monitors (RPMs), which are deployed worldwide, are
intended to interdict smuggled fissile material by detecting emissions of
neutrons and gamma ra... | 1503.07346v1 |
2015-06-29 | Energy spectra of primary knock-on atoms under neutron irradiation | Materials subjected to neutron irradiation will suffer from a build-up of
damage caused by the displacement cascades initiated by nuclear reactions.
Previously, the main "measure" of this damage accumulation has been through the
displacements per atom (dpa) index. There are known limitations associated with
the dpa qua... | 1506.08554v1 |
2015-08-25 | Direct Visualization of Memory Effects in Artificial Spin Ice | We experimentally demonstrate that arrays of interacting nanoscale
ferromagnetic islands, known as artificial spin ice, develop reproducible
microstates upon cycling an applied magnetic field. The onset of this memory
effect is determined by the strength of the applied field relative to the array
coercivity. Specifical... | 1508.06330v1 |
2015-10-21 | On the limiting Markov process of energy exchanges in a rarely interacting ball-piston gas | We analyse the process of energy exchanges generated by the elastic
collisions between a point-particle, confined to a two-dimensional cell with
convex boundaries, and a `piston', i.e. a line-segment, which moves back and
forth along a one-dimensional interval partially intersecting the cell. This
model can be consider... | 1510.06408v2 |
2015-10-29 | Deligne--Langlands gamma factors in families | Let F be a p-adic field, W_F its absolute Weil group, and let k be an
algebraically closed field of prime characteristic l different from p. Attached
to any l-adic representation of W_F are local epsilon- and L-factors. There are
natural notions of families of l-adic representations of W_F, such as the
theory of Galois... | 1510.08743v3 |
2015-11-01 | Verification of commercial motor performance for WEAVE at the William Herschel Telescope | WEAVE is a 1000-fiber multi-object spectroscopic facility for the 4.2~m
William Herschel Telescope. It will feature a double-headed pick-and-place
fiber positioning robot comprising commercially available robotic axes. This
paper presents results on the performance of these axes, obtained by testing a
prototype system ... | 1511.00202v1 |
2015-11-02 | Learning from history: Adaptive calibration of 'tilting spine' fiber positioners | This paper discusses a new approach for determining the calibration
parameters of independently-actuated optical fibers in multi-object
astronomical fiber positioning systems. This work comes from the development of
a new type of piezoelectric motor intended to enhance the 'tilting spine' fiber
positioning technology o... | 1511.00737v1 |
2016-06-23 | Echidna Mark II: one giant leap for 'tilting spine' fibre positioning technology | The Australian Astronomical Observatory's 'tilting spine' fibre positioning
technology has been redeveloped to provide superior performance in a smaller
package. The new design offers demonstrated closed-loop positioning errors of
2.8 {\mu}m RMS in only five moves (~10 s excluding metrology overheads) and an
improved c... | 1606.07305v1 |
2016-08-15 | Inverse subsemigroups of finite index in finitely generated inverse semigroups | The index of a subgroup of a group counts the number of cosets of that
subgroup. A subgroup of finite index often shares structural properties with
the group, and the existence of a subgroup of finite index with some particular
property can therefore imply useful structural information for the overgroup. A
developed th... | 1608.04254v1 |
2016-10-03 | Magnetic microscopy and simulation of strain-mediated control of magnetization in Ni/PMN-PT nanostructures | Strain-mediated thin film multiferroics comprising
piezoelectric/ferromagnetic heterostructures enable the electrical manipulation
of magnetization with much greater efficiency than other methods; however, the
investigation of nanostructures fabricated from these materials is limited.
Here we characterize ferromagnetic... | 1610.00746v1 |
2016-10-17 | Formalising Real Numbers in Homotopy Type Theory | Cauchy reals can be defined as a quotient of Cauchy sequences of rationals.
The limit of a Cauchy sequence of Cauchy reals is defined through lifting it to
a sequence of Cauchy sequences of rationals. This lifting requires the axiom of
countable choice or excluded middle, neither of which is available in homotopy
type ... | 1610.05072v2 |
2016-11-04 | The flow and evolution of ice-sucrose crystal mushes | We study the rheology of suspensions of ice crystals at moderate to high
volume fractions in a sucrose solution in which they are partially soluble; a
model system for a wide class of crystal mushes or slurries. Under step changes
in shear rate, the viscosity changes to a new `relaxed' value over several
minutes, in a ... | 1611.01365v1 |
2016-11-08 | Convergence of an implicit-explicit midpoint scheme for computational micromagnetics | Based on lowest-order finite elements in space, we consider the numerical
integration of the Landau-Lifschitz-Gilbert equation (LLG). The dynamics of LLG
is driven by the so-called effective field which usually consists of the
exchange field, the external field, and lower-order contributions such as the
stray field. Th... | 1611.02465v2 |
2016-11-17 | Dynamical contribution to the heat conductivity in stochastic energy exchanges of locally confined gases | We present a systematic computation of the heat conductivity of the Markov
jump process modeling the energy exchanges in an array of locally confined hard
spheres at the conduction threshold. Based on a variational formula [Sasada M.
2016, {\it Thermal conductivity for stochastic energy exchange models},
arXiv:1611.088... | 1611.05809v3 |
2016-11-27 | Thermal conductivity for stochastic energy exchange models | We consider a class of stochastic models for energy transport and study
relations between the thermal conductivity and some static observables, such as
the static conductivity, which is defined as the contribution of static
correlations in Green-Kubo formula. The class of models is a generalization of
two specific mode... | 1611.08866v1 |
2016-12-07 | Spatial heterogeneity of W transmutation in a fusion device | Accurately quantifying the transmutation rate of tungsten (W) under neutron
irradiation is a necessary requirement in the assessment of its performance as
an armour material in a fusion power plant. The usual approach of calculating
average responses, assuming large, homogenised material volumes, is
insufficient to cap... | 1612.03892v1 |
2017-01-20 | Structure of optimal strategies for remote estimation over Gilbert-Elliott channel with feedback | We investigate remote estimation over a Gilbert-Elliot channel with feedback.
We assume that the channel state is observed by the receiver and fed back to
the transmitter with one unit delay. In addition, the transmitter gets ACK/NACK
feedback for successful/unsuccessful transmission. Using ideas from team
theory, we e... | 1701.05943v1 |
2017-02-04 | Fabrication of Atomically Precise Nanopores in Hexagonal Boron Nitride | We demonstrate the fabrication of individual nanopores in hexagonal boron
nitride (hBN) with atomically precise control of the pore size. Previous
methods of pore production in other 2D materials create pores of irregular
geometry with imprecise diameters. By taking advantage of the preferential
growth of boron vacanci... | 1702.01220v1 |
2017-02-10 | A finite element approximation for the stochastic Maxwell--Landau--Lifshitz--Gilbert system | The stochastic Landau--Lifshitz--Gilbert (LLG) equation coupled with the
Maxwell equations (the so called stochastic MLLG system) describes the creation
of domain walls and vortices (fundamental objects for the novel nanostructured
magnetic memories). We first reformulate the stochastic LLG equation into an
equation wi... | 1702.03027v1 |
2017-03-07 | The extrapolated explicit midpoint scheme for variable order and step size controlled integration of the Landau-Lifschitz-Gilbert equation | A practical and efficient scheme for the higher order integration of the
Landau-Lifschitz-Gilbert (LLG) equation is presented. The method is based on
extrapolation of the two-step explicit midpoint rule and incorporates adaptive
time step and order selection. We make use of a piecewise time-linear stray
field approxima... | 1703.02479v1 |
2017-09-06 | Adaptively time stepping the stochastic Landau-Lifshitz-Gilbert equation at nonzero temperature: implementation and validation in MuMax3 | Thermal fluctuations play an increasingly important role in micromagnetic
research relevant for various biomedical and other technological applications.
Until now, it was deemed necessary to use a time stepping algorithm with a
fixed time step in order to perform micromagnetic simulations at nonzero
temperatures. Howev... | 1709.01682v1 |
2017-09-18 | Growth-Induced In-Plane Uniaxial Anisotropy in V$_{2}$O$_{3}$/Ni Films | We report on a strain-induced and temperature dependent uniaxial anisotropy
in V$_{2}$O$_{3}$/Ni hybrid thin films, manifested through the interfacial
strain and sample microstructure, and its consequences on the angular dependent
magnetization reversal. X-ray diffraction and reciprocal space maps identify
the in-plane... | 1709.06100v1 |
2018-05-07 | Generalized Random Gilbert-Varshamov Codes | We introduce a random coding technique for transmission over discrete
memoryless channels, reminiscent of the basic construction attaining the
Gilbert-Varshamov bound for codes in Hamming spaces. The code construction is
based on drawing codewords recursively from a fixed type class, in such a way
that a newly generate... | 1805.02515v2 |
2018-07-04 | Deep Autoencoder for Combined Human Pose Estimation and body Model Upscaling | We present a method for simultaneously estimating 3D human pose and body
shape from a sparse set of wide-baseline camera views. We train a symmetric
convolutional autoencoder with a dual loss that enforces learning of a latent
representation that encodes skeletal joint positions, and at the same time
learns a deep repr... | 1807.01511v1 |
2018-10-08 | Hiding the weights -- CBC black box algorithms with a guaranteed error bound | The component-by-component (CBC) algorithm is a method for constructing good
generating vectors for lattice rules for the efficient computation of
high-dimensional integrals in the "weighted" function space setting introduced
by Sloan and Wo\'zniakowski. The "weights" that define such spaces are needed
as inputs into t... | 1810.03394v1 |
2018-10-11 | Alternative Stacking Sequences in Hexagonal Boron Nitride | The relative orientation of successive sheets, i.e. the stacking sequence, in
layered two-dimensional materials is central to the electronic, thermal, and
mechanical properties of the material. Often different stacking sequences have
comparable cohesive energy, leading to alternative stable crystal structures.
Here we ... | 1810.04814v1 |
2018-10-17 | Unified theory of magnetization dynamics with relativistic and nonrelativistic spin torques | Spin torques play a crucial role in operative properties of modern spintronic
devices. To study current-driven magnetization dynamics, spin-torque terms
providing the action of spin-polarized currents have previously often been
added in a phenomenological way to the Landau-Lifshitz-Gilbert equation
describing the local... | 1810.07438v1 |
2018-10-23 | Resource-Constrained Simultaneous Detection and Labeling of Objects in High-Resolution Satellite Images | We describe a strategy for detection and classification of man-made objects
in large high-resolution satellite photos under computational resource
constraints. We detect and classify candidate objects by using five pipelines
of convolutional neural network processing (CNN), run in parallel. Each
pipeline has its own un... | 1810.10110v1 |
2018-11-01 | Ludometrics: Luck, and How to Measure It | Game theory is the study of tractable games which may be used to model more
complex systems. Board games, video games and sports, however, are intractable
by design, so "ludological" theories about these games as complex phenomena
should be grounded in empiricism. A first "ludometric" concern is the empirical
measureme... | 1811.00673v1 |
2019-01-28 | Topology and Observables of the Non-Hermitian Chern Insulator | Topology plays a central role in nearly all disciplines of physics, yet its
applications have so far been restricted to closed, lossless systems in
thermodynamic equilibrium. Given that many physical systems are open and may
include gain and loss mechanisms, there is an eminent need to reexamine
topology within the con... | 1901.09961v2 |
2019-03-25 | Deep Shape from Polarization | This paper makes a first attempt to bring the Shape from Polarization (SfP)
problem to the realm of deep learning. The previous state-of-the-art methods
for SfP have been purely physics-based. We see value in these principled
models, and blend these physical models as priors into a neural network
architecture. This pro... | 1903.10210v2 |
2019-04-30 | The algebra of rewriting for presentations of inverse monoids | We describe a formalism, using groupoids, for the study of rewriting for
presentations of inverse monoids, that is based on the Squier complex
construction for monoid presentations. We introduce the class of pseudoregular
groupoids, an example of which now arises as the fundamental groupoid of our
version of the Squier... | 1904.13135v1 |
2019-05-31 | Characterizing the mod-$\ell$ local Langlands correspondence by nilpotent gamma factors | Let $F$ be a $p$-adic field and choose $k$ an algebraic closure of
$\mathbb{F}_{\ell}$, with $\ell$ different from $p$. We define ``nilpotent
lifts'' of irreducible generic $k$-representations of $GL_n(F)$, which take
coefficients in Artin local $k$-algebras. We show that an irreducible generic
$\ell$-modular represent... | 1905.13487v2 |
2019-07-18 | The homology of groups, profinite completions, and echoes of Gilbert Baumslag | We present novel constructions concerning the homology of finitely generated
groups. Each construction draws on ideas of Gilbert Baumslag. There is a
finitely presented acyclic group $U$ such that $U$ has no proper subgroups of
finite index and every finitely presented group can be embedded in $U$. There
is no algorith... | 1907.08072v2 |
2019-08-08 | Semantic Estimation of 3D Body Shape and Pose using Minimal Cameras | We aim to simultaneously estimate the 3D articulated pose and high fidelity
volumetric occupancy of human performance, from multiple viewpoint video (MVV)
with as few as two views. We use a multi-channel symmetric 3D convolutional
encoder-decoder with a dual loss to enforce the learning of a latent embedding
that enabl... | 1908.03030v2 |
2019-09-06 | The universal unramified module for GL(n) and the Ihara conjecture | Let $F$ be a finite extension of $\mathbb{Q}_p$. Let $W(k)$ denote the Witt
vectors of an algebraically closed field $k$ of characteristic $\ell$ different
from $p$ and $2$, and let $\mathcal{Z}$ be the spherical Hecke algebra for
$GL_n(F)$ over $W(k)$. Given a Hecke character $\lambda:\mathcal{Z}\to R$,
where $R$ is a... | 1909.02709v3 |
2019-10-10 | Weak-strong uniqueness for the Landau-Lifshitz-Gilbert equation in micromagnetics | We consider the time-dependent Landau-Lifshitz-Gilbert equation. We prove
that each weak solution coincides with the (unique) strong solution, as long as
the latter exists in time. Unlike available results in the literature, our
analysis also includes the physically relevant lower-order terms like Zeeman
contribution, ... | 1910.04630v2 |
2019-11-20 | Hard Choices in Artificial Intelligence: Addressing Normative Uncertainty through Sociotechnical Commitments | As AI systems become prevalent in high stakes domains such as surveillance
and healthcare, researchers now examine how to design and implement them in a
safe manner. However, the potential harms caused by systems to stakeholders in
complex social contexts and how to address these remains unclear. In this
paper, we expl... | 1911.09005v1 |
2019-11-22 | Asymmetric entanglement-assisted quantum error-correcting codes and BCH codes | The concept of asymmetric entanglement-assisted quantum error-correcting code
(asymmetric EAQECC) is introduced in this article. Codes of this type take
advantage of the asymmetry in quantum errors since phase-shift errors are more
probable than qudit-flip errors. Moreover, they use pre-shared entanglement
between enco... | 1911.10031v2 |
2019-12-16 | Nanosecond-timescale development of Faraday rotation in an ultracold gas | When a gas of ultracold atoms is suddenly illuminated by light that is nearly
resonant with an atomic transition, the atoms cannot respond instantaneously.
This non-instantaneous response means the gas is initially more transparent to
the applied light than in steady-state. The timescale associated with the
development... | 1912.07553v1 |
2020-01-31 | An efficient automated data analytics approach to large scale computational comparative linguistics | This research project aimed to overcome the challenge of analysing human
language relationships, facilitate the grouping of languages and formation of
genealogical relationship between them by developing automated comparison
techniques. Techniques were based on the phonetic representation of certain key
words and conce... | 2001.11899v1 |
2020-03-24 | An information theoretic framework for classifying exoplanetary system architectures | We propose several descriptive measures to characterize the arrangements of
planetary masses, periods, and mutual inclinations within exoplanetary systems.
These measures are based in complexity theory and capture the global,
system-level trends of each architecture. Our approach considers all planets in
a system simul... | 2003.11098v1 |
2020-05-14 | On the Performance Analysis of Streaming Codes over the Gilbert-Elliott Channel | The Gilbert-Elliot (GE) channel is a commonly-accepted model for packet
erasures in networks. Streaming codes are a class of packet-level erasure codes
designed to provide reliable communication over the GE channel. The design of a
streaming code may be viewed as a two-step process. In the first, a more
tractable, dela... | 2005.06921v2 |
2020-08-25 | Differentiating a Tensor Language | How does one compile derivatives of tensor programs, such that the resulting
code is purely functional (hence easier to optimize and parallelize) and
provably efficient relative to the original program? We show that naively
differentiating tensor code---as done in popular systems like Tensorflow and
PyTorch---can cause... | 2008.11256v1 |
2020-09-14 | Moduli of Langlands Parameters | Let $F$ be a nonarchimedean local field of residue characteristic $p$, let
$\hat{G}$ be a split reductive group over $\mathbb{Z}[1/p]$ with an action of
$W_F$, and let $^LG$ denote the semidirect product $\hat{G}\rtimes W_F$. We
construct a moduli space of Langlands parameters $W_F \to {^LG}$, and show that
it is local... | 2009.06708v3 |
2020-09-30 | Spin-diffusion model for micromagnetics in the limit of long times | In this paper, we consider spin-diffusion Landau-Lifshitz-Gilbert equations
(SDLLG), which consist of the time-dependent Landau-Lifshitz-Gilbert (LLG)
equation coupled with a time-dependent diffusion equation for the electron spin
accumulation. The model takes into account the diffusion process of the spin
accumulation... | 2009.14534v1 |
2020-12-20 | Reconstructing phase-resolved hysteresis loops from first-order reversal curves | The first order reversal curve (FORC) method is a magnetometry based
technique used to capture nanoscale magnetic phase separation and interactions
with macroscopic measurements using minor hysteresis loop analysis. This makes
the FORC technique a powerful tool in the analysis of complex systems which
cannot be effecti... | 2012.11041v1 |
2021-01-13 | Self-organization in the one-dimensional Landau-Lifshitz-Gilbert-Slonczewski equation with non-uniform anisotropy fields | In magnetic films driven by spin-polarized currents, the
perpendicular-to-plane anisotropy is equivalent to breaking the time
translation symmetry, i.e., to a parametric pumping. In this work, we
numerically study those current-driven magnets via the
Landau-Lifshitz-Gilbert-Slonczewski equation in one spatial dimension... | 2101.05263v1 |
2021-01-20 | Global Optimization of the Mean First Passage Time for Narrow Capture Problems in Elliptic Domains | Narrow escape and narrow capture problems which describe the average times
required to stop the motion of a randomly travelling particle within a domain
have applications in various areas of science. While for general domains, it is
known how the escape time decreases with the increase of the trap sizes, for
some speci... | 2101.08368v2 |
2021-02-03 | Bounds and Genericity of Sum-Rank-Metric Codes | We derive simplified sphere-packing and Gilbert--Varshamov bounds for codes
in the sum-rank metric, which can be computed more efficiently than previous
ones. They give rise to asymptotic bounds that cover the asymptotic setting
that has not yet been considered in the literature: families of sum-rank-metric
codes whose... | 2102.02244v3 |
2021-03-01 | A pathwise stochastic Landau-Lifshitz-Gilbert equation with application to large deviations | Using a rough path formulation, we investigate existence, uniqueness and
regularity for the stochastic Landau-Lifshitz-Gilbert equation with
Stratonovich noise on the one dimensional torus. As a main result we show the
continuity of the so-called It\^o-Lyons map in the energy spaces
$L^\infty(0,T;H^k)\cap L^2(0,T;H^{k+... | 2103.00926v1 |
2021-03-17 | Numerical analysis of the Landau-Lifshitz-Gilbert equation with inertial effects | We consider the numerical approximation of the inertial
Landau-Lifshitz-Gilbert equation (iLLG), which describes the dynamics of the
magnetization in ferromagnetic materials at subpicosecond time scales. We
propose and analyze two fully discrete numerical schemes: The first method is
based on a reformulation of the pro... | 2103.09888v2 |
2021-07-12 | Human-like Relational Models for Activity Recognition in Video | Video activity recognition by deep neural networks is impressive for many
classes. However, it falls short of human performance, especially for
challenging to discriminate activities. Humans differentiate these complex
activities by recognising critical spatio-temporal relations among explicitly
recognised objects and ... | 2107.05319v2 |
2021-08-17 | Small-misorientation toughness in biominerals evolved convergently | The hardest materials in living organisms are biologically grown crystalline
minerals, or biominerals, which are also incredibly fracture-tough. Biomineral
mesostructure includes size, shape, spatial arrangement, and crystal
orientation of crystallites, observable at the mesoscale (10 nanometer - 10
micron). Here we sh... | 2108.07877v1 |
2021-08-19 | Evidence for a liquid precursor to biomineral formation | The crystals in animal biominerals such as sea urchin spines, mollusk shells,
and coral skeletons, form by attachment of amorphous particles that
subsequently crystallize. Do these solid amorphous precursor particles have
liquid precursors? Polymer-induced liquid precursors (PILP), or prenucleation
clusters coalescing ... | 2108.08429v1 |
2021-08-22 | Factors Enhancing E-Government Service Gaps in a Developing Country Context | Globally, the discourse of e-government has gathered momentum in public
service delivery. No country has been left untouched in the implementation of
e-government. Several government departments and agencies are now using
information and communication technology (ICTs) to deliver government services
and information to ... | 2108.09803v1 |
2021-09-23 | Cyclically presented groups as Labelled Oriented Graph groups | We use results concerning the Smith forms of circulant matrices to identify
when cyclically presented groups have free abelianisation and so can be
Labelled Oriented Graph (LOG) groups. We generalize a theorem of Odoni and
Cremona to show that for a fixed defining word, whose corresponding representer
polynomial has an... | 2109.11463v1 |
2021-12-03 | Spectral reconstruction in NRQCD via the Backus-Gilbert method | We present progress results from the FASTSUM collaboration's programme to
determine the spectrum of the bottomonium system as a function of temperature
using a variety of approaches. In this contribution, the Backus Gilbert method
is used to reconstruct spectral functions from NRQCD meson correlator data from
FASTSUM's... | 2112.02075v2 |
2021-12-23 | Energy minimizing maps with prescribed singularities and Gilbert-Steiner optimal networks | We investigate the relation between energy minimizing maps valued into
spheres having topological singularities at given points and optimal networks
connecting them (e.g. Steiner trees, Gilbert-Steiner irrigation networks). We
show the equivalence of the corresponding variational problems, interpreting in
particular th... | 2112.12511v4 |
2022-02-02 | Asymptotic stability of precessing domain walls for the Landau-Lifshitz-Gilbert equation in a nanowire with Dzyaloshinskii-Moriya interaction | We consider a ferromagnetic nanowire and we focus on an asymptotic regime
where the Dzyaloshinskii-Moriya interaction is taken into account. First we
prove a dimension reduction result via $\Gamma$-convergence that determines a
limit functional $E$ defined for maps $m:\mathbb{R}\to \mathbb{S}^2$ in the
direction $e_1$ ... | 2202.01005v1 |
2022-02-14 | The Higgs Boson Mass as Fundamental Parameter of the Minimal Supersymmetric Standard Model | In the Minimal Supersymmetric Standard Model (MSSM) the mass of the lightest
neutral Higgs boson is determined by the supersymmetric parameters. In the
$m_h$MSSM the precisely measured Higgs boson replaces the trilinear coupling
$A_t$ as input parameter. Expressions are derived to extract $A_t$ in a
semi-analytical for... | 2202.06919v2 |
2022-02-15 | Coding and Bounds for Partially Defective Memory Cells | This paper considers coding for so-called partially stuck (defect) memory
cells. Such memory cells can only store partial information as some of their
levels cannot be used fully due to, e.g., wearout. First, we present new
constructions that are able to mask $u$ partially stuck cells while correcting
at the same time ... | 2202.07541v1 |
2022-03-24 | Multi-platform Process Flow Models and Algorithms for Extraction and Documentation of Digital Forensic Evidence from Mobile Devices | The increasing need for the examination of evidence from mobile and portable
gadgets increases the essential need to establish dependable measures for the
investigation of these gadgets. Many differences exist while detailing the
requirement for the examination of each gadget, to help detectives and
examiners in guaran... | 2203.13258v1 |
2022-06-07 | Implicit biases in transit models using stellar pseudo-density | The transit technique is responsible for the majority of exoplanet
discoveries to date. Characterizing these planets involves careful modeling of
their transit profiles. A common technique involves expressing the transit
duration using a density-like parameter, $\tilde{\rho}$, often called the
"circular density." Most ... | 2206.03432v1 |
2022-06-22 | Homogenization of the Landau-Lifshitz-Gilbert equation with natural boundary condition | The full Landau-Lifshitz-Gilbert equation with periodic material coefficients
and natural boundary condition is employed to model the magnetization dynamics
in composite ferromagnets. In this work, we establish the convergence between
the homogenized solution and the original solution via a Lax equivalence
theorem kind... | 2206.10948v1 |
2022-09-12 | GenLoco: Generalized Locomotion Controllers for Quadrupedal Robots | Recent years have seen a surge in commercially-available and affordable
quadrupedal robots, with many of these platforms being actively used in
research and industry. As the availability of legged robots grows, so does the
need for controllers that enable these robots to perform useful skills.
However, most learning-ba... | 2209.05309v1 |
2022-10-11 | Element-Specific First Order Reversal Curves Measured by Magnetic Transmission X-ray Microscopy | The first order reversal curve (FORC) method is a macroscopic measurement
technique which can be used to extract quantitative, microscopic properties of
hysteretic systems. Using magnetic transmission X-ray microscopy (MTXM), local
element-specific FORC measurements are performed on a 20 nm thick film of CoTb.
The FORC... | 2210.05739v1 |
2022-11-08 | Landau-Lifshitz-Gilbert equations: Controllability by Low Modes Forcing for deterministic version and Support Theorems for Stochastic version | In this article, we study the controllability issues of the
Landau-Lifshitz-Gilbert Equations (LLGEs), accompanied with non-zero exchange
energy only, in an interval in one spatial dimension with Neumann boundary
conditions. The paper is of twofold. In the first part of the paper, we study
the controllability issues of... | 2211.04204v1 |
2022-11-18 | Knowledge Graph Refinement based on Triplet BERT-Networks | Knowledge graph embedding techniques are widely used for knowledge graph
refinement tasks such as graph completion and triple classification. These
techniques aim at embedding the entities and relations of a Knowledge Graph
(KG) in a low dimensional continuous feature space. This paper adopts a
transformer-based triple... | 2211.10460v1 |
2022-11-22 | Generalized Random Gilbert-Varshamov Codes: Typical Error Exponent and Concentration Properties | We find the exact typical error exponent of constant composition generalized
random Gilbert-Varshamov (RGV) codes over DMCs channels with generalized
likelihood decoding. We show that the typical error exponent of the RGV
ensemble is equal to the expurgated error exponent, provided that the RGV
codebook parameters are ... | 2211.12238v1 |
2023-01-05 | Improved Gilbert-Varshamov bounds for hopping cyclic codes and optical orthogonal codes | Hopping cyclic codes (HCCs) are (non-linear) cyclic codes with the additional
property that the $n$ cyclic shifts of every given codeword are all distinct,
where $n$ is the code length. Constant weight binary hopping cyclic codes are
also known as optical orthogonal codes (OOCs). HCCs and OOCs have various
practical ap... | 2301.02042v1 |
2023-01-11 | Thou Shalt not Pick all Items if Thou are First: of Strategyproof and Fair Picking Sequences | When allocating indivisible items to agents, it is known that the only
strategyproof mechanisms that satisfy a set of rather mild conditions are
constrained serial dictatorships: given a fixed order over agents, at each step
the designated agent chooses a given number of items (depending on her position
in the sequence... | 2301.06086v1 |
2023-01-17 | Comparison of Optical and Electrical Links for Highly-Interconnected Systems | As data rates for multi-gigabit serial interfaces within multi-node compute
systems approach and exceed 10 Gigabits per second (Gbps), board-to-board and
chip-to-chip optical signaling solutions become more attractive, particularly
for longer (e.g. 50-100 cm) links. The transition to optical signaling will
potentially ... | 2301.10169v1 |
2023-01-17 | PWB Manufacturing Variability Effects on High Speed SerDes Links: Statistical Insights from Thousands of 4-Port SParameter Measurements | Variability analysis is important in successfully deploying multi-gigabit
backplane printed wiring boards (PWBs) with growing numbers of high-speed
SerDes links. We discuss the need for large sample sizes to obtain accurate
variability estimates of SI metrics (eye height, phase skew, etc).
Using a dataset of 11,961 S... | 2301.10176v1 |
2023-01-17 | A Zero Sum Signaling Method for High Speed, Dense Parallel Bus Communications | Complex digital systems such as high performance computers (HPCs) make
extensive use of high-speed electrical interconnects, in routing signals among
processing elements, or between processing elements and memory. Despite
increases in serializer/deserializer (SerDes) and memory interface speeds,
there is demand for hig... | 2302.05427v1 |
2023-03-20 | Dynamic Documentation for AI Systems | AI documentation is a rapidly-growing channel for coordinating the design of
AI technologies with policies for transparency and accessibility. Calls to
standardize and enact documentation of algorithmic harms and impacts are now
commonplace. However, documentation standards for AI remain inchoate, and fail
to match the... | 2303.10854v1 |
2023-01-17 | 56 Gbps PCB Design Strategies for Clean, Low-Skew Channels | Although next generation (>28 Gbps) SerDes standards have been contemplated
for several years, it has not been clear whether PCB structures supporting 56
Gbps NRZ will be feasible and practical. In this paper, we assess a number of
specific PCB design strategies (related to pin-field breakouts, via stubs, and
fiber wea... | 2304.01909v1 |
2023-01-17 | Inverting the SerDes Link Design Flow Process | The traditional SerDes link simulation process begins with the extraction of
printed circuit board (PCB) physical stripline and via models, followed by
channel modeling and link simulation. We invert this simulation flow by first
creating link performance curves across an array of hypothetical channels
defined with spe... | 2304.01911v1 |
2023-01-17 | Plated-Through-Hole Via Design Specifications for 112G Serial Links | An earlier study of a high layer-count test board using plated-through-hole
(PTH) vias and a limited quantity of laser vias was shown to be capable of
supporting 112 Gb/s PAM-4 links (or equivalent signaling having 28 GHz
(Nyquist) bandwidth). This original board design was then rebuilt using a
different fabricator, an... | 2304.01913v1 |
2023-04-18 | Sample-and-Hold Safety with Control Barrier Functions | A common assumption on the deployment of safeguarding controllers on the
digital platform is that high sampling frequency translates to a small
violation of safety. This paper investigates and formalizes this assumption
through the lens of Input-to-State Safety. From this perspective, and
leveraging control barrier fun... | 2304.08685v2 |
2023-01-17 | Efficient Circuit-Level Implementation of Knuth-Based Balanced and Nearly-Balanced Codes | Coding schemes are often used in high-speed processor-processor or
processor-memory busses in digital systems. In particular, we have introduced
(in a 2012 DesignCon paper) a zero sum (ZS) signaling method which uses
balanced or nearly-balanced coding to reduce simultaneous switching noise (SSN)
in a single-ended bus t... | 2304.13497v1 |
2023-01-17 | Capacitor Optimization in Power Distribution Networks Using Numerical Computation Techniques | This paper presents a power distribution network (PDN) decoupling capacitor
optimization application with three primary goals: reduction of solution times
for large networks, development of flexible network scoring routines, and a
concentration strictly on achieving the best network performance. Example
optimizations a... | 2305.01540v1 |
2023-05-26 | Sphaleron rate from a modified Backus-Gilbert inversion method | We compute the sphaleron rate in quenched QCD for a temperature $T \simeq
1.24~T_c$ from the inversion of the Euclidean lattice time correlator of the
topological charge density. We explore and compare two different strategies:
one follows a new approach proposed in this study and consists in extracting
the rate from f... | 2305.17120v2 |
2023-07-21 | Visibility graph-based covariance functions for scalable spatial analysis in nonconvex domains | We present a new method for constructing valid covariance functions of
Gaussian processes over irregular nonconvex spatial domains such as water
bodies, where the geodesic distance agrees with the Euclidean distance only for
some pairs of points. Standard covariance functions based on geodesic distances
are not positiv... | 2307.11941v2 |
2023-08-23 | Consistency of common spatial estimators under spatial confounding | This paper addresses the asymptotic performance of popular spatial regression
estimators on the task of estimating the effect of an exposure on an outcome in
the presence of an unmeasured spatially-structured confounder. This setting is
often referred to as "spatial confounding." We consider spline models, Gaussian
pro... | 2308.12181v1 |
2023-09-19 | Stochastic control of the Landau-Lifshitz-Gilbert equation | We consider the stochastic Landau-Lifshitz-Gilbert equation in dimension 1. A
control process is added to the effective field. We show the existence of a
weak martingale solution for the resulting controlled equation. The proof uses
the classical Faedo-Galerkin approximation, along with the Jakubowski version
of the Sk... | 2309.10260v1 |
2023-10-13 | Unified framework of the microscopic Landau-Lifshitz-Gilbert equation and its application to Skyrmion dynamics | The Landau-Lifshitz-Gilbert (LLG) equation is widely used to describe
magnetization dynamics. We develop a unified framework of the microscopic LLG
equation based on the nonequilibrium Green's function formalism. We present a
unified treatment for expressing the microscopic LLG equation in several
limiting cases, inclu... | 2310.08807v1 |
2023-10-18 | Parallel-in-Time Integration of the Landau-Lifshitz-Gilbert Equation with the Parallel Full Approximation Scheme in Space and Time | Speeding up computationally expensive problems, such as numerical simulations
of large micromagnetic systems, requires efficient use of parallel computing
infrastructures. While parallelism across space is commonly exploited in
micromagnetics, this strategy performs poorly once a minimum number of degrees
of freedom pe... | 2310.11819v1 |
2023-12-29 | Chebyshev and Backus-Gilbert reconstruction for inclusive semileptonic $B_{(s)}$-meson decays from Lattice QCD | We present a study on the nonperturbative calculation of observables for
inclusive semileptonic decays of $B_{(s)}$ mesons using lattice QCD. We focus
on the comparison of two different methods to analyse the lattice data of
Euclidean correlation functions, specifically Chebyshev and Backus-Gilbert
approaches. This typ... | 2312.17401v1 |
2024-02-22 | Gilbert-Varshamov Bound for Codes in $L_1$ Metric using Multivariate Analytic Combinatorics | Analytic combinatorics in several variables refers to a suite of tools that
provide sharp asymptotic estimates for certain combinatorial quantities. In
this paper, we apply these tools to determine the Gilbert--Varshamov lower
bound on the rate of optimal codes in $L_1$ metric. Several different code
spaces are analyze... | 2402.14712v1 |
2024-02-28 | Embodied Supervision: Haptic Display of Automation Command to Improve Supervisory Performance | A human operator using a manual control interface has ready access to their
own command signal, both by efference copy and proprioception. In contrast, a
human supervisor typically relies on visual information alone. We propose
supplying a supervisor with a copy of the operators command signal,
hypothesizing improved p... | 2402.18707v1 |
2024-03-14 | Quantum analog of Landau-Lifshitz-Gilbert dynamics | The Landau-Lifshitz-Gilbert (LLG) and Landau-Lifshitz (LL) equations play an
essential role for describing the dynamics of magnetization in solids. While a
quantum analog of the LL dynamics has been proposed in [Phys. Rev. Lett. 110,
147201 (2013)], the corresponding quantum version of LLG remains unknown. Here,
we pro... | 2403.09255v1 |
2024-03-15 | Identification and estimation of mediational effects of longitudinal modified treatment policies | We demonstrate a comprehensive semiparametric approach to causal mediation
analysis, addressing the complexities inherent in settings with longitudinal
and continuous treatments, confounders, and mediators. Our methodology utilizes
a nonparametric structural equation model and a cross-fitted sequential
regression techn... | 2403.09928v1 |
2024-03-22 | Two-scale Analysis for Multiscale Landau-Lifshitz-Gilbert Equation: Theory and Numerical Methods | This paper discusses the theory and numerical method of two-scale analysis
for the multiscale Landau-Lifshitz-Gilbert equation in composite ferromagnetic
materials. The novelty of this work can be summarized in three aspects:
Firstly, the more realistic and complex model is considered, including the
effects of the exch... | 2403.14957v1 |
2020-11-30 | Role of Compressive Viscosity and Thermal Conductivity on the Damping of Slow Waves in the Coronal Loops With and Without Heating-Cooling Imbalance | In the present paper, we derive a new dispersion relation for slow
magnetoacoustic waves invoking the effect of thermal conductivity, compressive
viscosity, radiation and unknown heating term along with the consideration of
heating cooling imbalance from linearized MHD equations. We solve the general
dispersion relatio... | 2011.14519v2 |
1993-06-22 | Weakly Damped Modes in Star Clusters and Galaxies | A perturber may excite a coherent mode in a star cluster or galaxy. If the
stellar system is stable, it is commonly assumed that such a mode will be
strongly damped and therefore of little practical consequence other than
redistributing momentum and energy deposited by the perturber. This paper
demonstrates that this a... | 9306020v1 |
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