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Given a fibration $f: X \to Y$ with general fibre $X_y$, over a field of
positive characteristic, we establish the Iitaka-type inequality
$\kappa(X,-K_X) \leq \kappa(X_y,-K_{X_y})+\kappa(Y,-K_Y)$ whenever $X_y$ has
good F-singularities. | http://arxiv.org/abs/2309.16580v2 |
Cross-modality point cloud registration is confronted with significant
challenges due to inherent differences in modalities between different sensors.
We propose a cross-modality point cloud registration framework FF-LOGO: a
cross-modality point cloud registration method with feature filtering and
local-global optimiza... | http://arxiv.org/abs/2309.08966v2 |
Electricity demand forecasting is a well established research field. Usually
this task is performed considering historical loads, weather forecasts,
calendar information and known major events. Recently attention has been given
on the possible use of new sources of information from textual news in order to
improve the ... | http://arxiv.org/abs/2309.06793v1 |
We propose a new class of online learning algorithms, generalized implicit
Follow-The-Regularized-Leader (FTRL), that expands the scope of FTRL framework.
Generalized implicit FTRL can recover known algorithms, as FTRL with linearized
losses and implicit FTRL, and it allows the design of new update rules, as
extensions... | http://arxiv.org/abs/2306.00201v1 |
We present an adjunction formula for foliations on varieties and we consider
applications of the adjunction formula to the cone theorem for rank one
foliations and the study of foliation singularities. | http://arxiv.org/abs/2309.10697v2 |
In this note we study $T^2$-invariant pluriclosed metrics on the
Kodaira-Thurston surface. We obtain a characterization of $T^2$-invariant
Vaisman metrics, and notice that the Kodaira-Thurston surface admits Vaisman
metrics with non-constant scalar curvature. Then we study the behaviour of the
Vaisman condition in rela... | http://arxiv.org/abs/2309.15937v1 |
We analyze the evolutionary status of recently discovered long-period radio
sources PSR J0901-4046, GLEAM-X J1627-52, and GPM J1839-10. We discuss the
hypothesis that all three sources are radio pulsars. In the framework of
standard scenarios, it is often accepted that the pulsar mechanism is switched
off when an exter... | http://arxiv.org/abs/2309.12080v2 |
We continue the investigation into the power of smaller Transformer-based
language models as initiated by \textbf{TinyStories} -- a 10 million parameter
model that can produce coherent English -- and the follow-up work on
\textbf{phi-1}, a 1.3 billion parameter model with Python coding performance
close to the state-of... | http://arxiv.org/abs/2309.05463v1 |
Woronowicz proved the existence of the Haar state for compact quantum groups
under a separability assumption later removed by Van Daele in a new existence
proof. A minor adaptation of Van Daele's proof yields an idempotent state in
any non-empty weak*-compact convolution-closed convex subset of the state
space. Such su... | http://arxiv.org/abs/2301.13423v2 |
Emerging deep neural network (DNN) applications require high-performance
multi-core hardware acceleration with large data bursts. Classical
network-on-chips (NoCs) use serial packet-based protocols suffering from
significant protocol translation overheads towards the endpoints. This paper
proposes PATRONoC, an open-sou... | http://arxiv.org/abs/2308.00154v1 |
Few-shot learning allows pre-trained language models to adapt to downstream
tasks while using a limited number of training examples. However, practical
applications are limited when all model parameters must be optimized. In this
work we apply a new technique for parameter efficient few shot learning while
adopting a s... | http://arxiv.org/abs/2301.13345v1 |
Fairness problems in recommender systems often have a complexity in practice
that is not adequately captured in simplified research formulations. A social
choice formulation of the fairness problem, operating within a multi-agent
architecture of fairness concerns, offers a flexible and multi-aspect
alternative to fairn... | http://arxiv.org/abs/2309.08621v2 |
We study two coupled systems, one playing the role of the driver system and
the other one of the driven system. The driver system is a time-delayed
oscillator, and the driven or response system has a negligible delay. Since the
driver system plays the role of the only external forcing of the driven system,
we investiga... | http://arxiv.org/abs/2309.07512v1 |
We have created an experimental procedure for determining the temperature
coefficient of resistivity, $\alpha_R$, for introductory physics laboratories.
This method examines the relationship between temperature and resistivity to
establish $\alpha_R$ within 10% of the accepted value. | http://arxiv.org/abs/2301.04639v1 |
Operator splitting methods allow to split the operator describing a complex
dynamical system into a sequence of simpler subsystems and treat each part
independently. In the modeling of dynamical problems, systems of (possibly
coupled) differential-algebraic equations (DAEs) arise. This motivates the
application of oper... | http://arxiv.org/abs/2308.16736v1 |
Multivariate Time-Series (MTS) data is crucial in various application fields.
With its sequential and multi-source (multiple sensors) properties, MTS data
inherently exhibits Spatial-Temporal (ST) dependencies, involving temporal
correlations between timestamps and spatial correlations between sensors in
each timestamp... | http://arxiv.org/abs/2309.05305v3 |
The Adaptive Stabilized Finite Element method (AS-FEM) developed in Calo et.
al. combines the idea of the residual minimization method with the inf-sup
stability offered by the discontinuous Galerkin (dG) frameworks. As a result,
the discretizations deliver stabilized approximations and residual
representatives in the ... | http://arxiv.org/abs/2303.17982v1 |
With the development of web technology, social media texts are becoming a
rich source for automatic mental health analysis. As traditional discriminative
methods bear the problem of low interpretability, the recent large language
models have been explored for interpretable mental health analysis on social
media, which ... | http://arxiv.org/abs/2309.13567v3 |
With the success of the first Multi-channel Multi-party Meeting Transcription
challenge (M2MeT), the second M2MeT challenge (M2MeT 2.0) held in ASRU2023
particularly aims to tackle the complex task of \emph{speaker-attributed ASR
(SA-ASR)}, which directly addresses the practical and challenging problem of
``who spoke w... | http://arxiv.org/abs/2309.13573v2 |
After the discovery of the Higgs boson at the LHC, particle physics community
is exploring and proposing next accelerators, to address the remaining open
questions on the underlying mechanisms and constituents of the present
universe. One of the studied possibilities is FCC (Future Circular Collider), a
100 km long col... | http://arxiv.org/abs/2303.17996v1 |
First-principles calculations for two twisted bismuth bilayers, each with 120
atoms, were studied by means of the electronic density of states and
vibrational density of states. Metallic character at the Fermi level was found
for the non-rotated sample as well as for each sample rotated 0.5{\deg},
1.0{\deg}, 1.5{\deg},... | http://arxiv.org/abs/2309.03760v2 |
Slowly sheared particulate media like sand and suspensions flow
heterogeneously as they yield via narrow shear bands where most of the strain
is accumulated. Understanding shear band localization from microscopics is
still a major challenge. One class of so-called non-local theories identified
that the width of the she... | http://arxiv.org/abs/2308.00140v1 |
In this paper, we introduce a novel semi-supervised learning framework
tailored for medical image segmentation. Central to our approach is the
innovative Multi-scale Text-aware ViT-CNN Fusion scheme. This scheme adeptly
combines the strengths of both ViTs and CNNs, capitalizing on the unique
advantages of both architec... | http://arxiv.org/abs/2309.06618v3 |
Geographical and Temporal Weighted Regression (GTWR) model is an important
local technique for exploring spatial heterogeneity in data relationships, as
well as temporal dependence due to its high fitting capacity when it comes to
real data. In this article, we consider a GTWR model driven by a
spatio-temporal noise, c... | http://arxiv.org/abs/2309.11402v1 |
Galaxy shear - cosmic microwave background (CMB) lensing convergence
cross-correlations contain additional information on cosmology to
auto-correlations. While being immune to certain systematic effects, they are
affected by the galaxy intrinsic alignments (IA). This may be responsible for
the reported low lensing ampl... | http://arxiv.org/abs/2301.13437v2 |
Twisted bilayer graphene (TBG) is known for exhibiting highly correlated
phases at magic angles due to the emergence of flat bands that enhance
electron-electron interactions. In the TBG chiral model, electronic wave
function properties depend on a single parameter ($\alpha$), inversely
proportional to the relative twi... | http://arxiv.org/abs/2309.07260v1 |
GW170817 is a binary neutron star merger that exhibited a gravitational wave
(GW) and a gamma-ray burst, followed by an afterglow. In this work, we estimate
the Hubble constant ($H_0$) using broad-band afterglow emission and
relativistic jet motion from the Very Long Baseline Interferometry and Hubble
Space Telescope i... | http://arxiv.org/abs/2309.17073v2 |
Context. The heliosphere is formed by the interaction between the solar wind
(SW) plasma emanating from the Sun and a magnetised component of local
interstellar medium (LISM) inflowing on the Sun. A separation surface called
the heliopause (HP) forms between the SW and the LISM. Aims. In this article,
we define the nos... | http://arxiv.org/abs/2309.16345v1 |
In this paper we develop a physics-based model for the erosion of lining in
steel ladles. The model predicts the temperature evolution in the liquid slag,
steel, refractory bricks and outer steel casing. The flows of slag and steel is
due to forced convection by inert gas injection, vacuum treatment (extreme
bubble exp... | http://arxiv.org/abs/2302.14620v1 |
Classifier-Free Guidance (CFG) has recently emerged in text-to-image
generation as a lightweight technique to encourage prompt-adherence in
generations. In this work, we demonstrate that CFG can be used broadly as an
inference-time technique in pure language modeling. We show that CFG (1)
improves the performance of Py... | http://arxiv.org/abs/2306.17806v1 |
We investigate semileptonic form factors of $D_{(s)}$ meson from a modified
soft-wall 4-flavor holographic model. The model successfully reproduces the
masses and decay constants of various mesons, including $\rho$, $K^*$, $D^*$,
$D_s^*$, $a_1$, $K_1$, $f_1$, $D_1$,$D_{s1}$, $\pi$, $K$, $\eta$, $D$, and
$D_s$. Moreover... | http://arxiv.org/abs/2309.06156v1 |
We analyze the simplest model of identical coupled phase oscillators subject
to two-body and three-body interactions with permutation symmetry. This model
is derived from an ensemble of weakly coupled nonlinear oscillators by phase
reduction. Our study indicates that higher-order interactions induce anomalous
transitio... | http://arxiv.org/abs/2309.09265v2 |
Ehresmann's introduction of differentiable groupoids in the 1950s may be seen
as a starting point for two diverging lines of research, many-object Lie theory
(the study of Lie algebroids and Lie groupoids) and sketch theory. This thesis
uses tangent categories to build a bridge between these two lines of research,
prov... | http://arxiv.org/abs/2301.00305v1 |
Precise perception of contact interactions is essential for fine-grained
manipulation skills for robots. In this paper, we present the design of
feedback skills for robots that must learn to stack complex-shaped objects on
top of each other (see Fig.1). To design such a system, a robot should be able
to reason about th... | http://arxiv.org/abs/2309.14552v2 |
Quantum computers must meet extremely stringent qualitative and quantitative
requirements on their qubits in order to solve real-life problems. Quantum
circuit fragmentation techniques divide a large quantum circuit into a number
of sub-circuits that can be executed on the smaller noisy quantum hardware
available. Howe... | http://arxiv.org/abs/2310.00444v1 |
Let $F$ be a compact orientable surface with nonempty boundary other than a
disk. Let $L$ be a link in $F \times I$ with a connected weakly prime cellular
alternating projection to $F$. We provide simple conditions that determine
exactly when $(F \times I) \setminus N(L)$ is hyperbolic. We also consider
suitable embedd... | http://arxiv.org/abs/2309.04999v1 |
We study the classical scheduling problem on parallel machines %with
precedence constraints where the precedence graph has the bounded depth $h$.
Our goal is to minimize the maximum completion time. We focus on developing
approximation algorithms that use only sublinear space or sublinear time. We
develop the first one... | http://arxiv.org/abs/2302.00133v1 |
Machine learning models can perpetuate unintended biases from unfair and
imbalanced datasets. Evaluating and debiasing these datasets and models is
especially hard in text datasets where sensitive attributes such as race,
gender, and sexual orientation may not be available. When these models are
deployed into society, ... | http://arxiv.org/abs/2309.04027v2 |
The latest advancements in AI and deep learning have led to a breakthrough in
large language model (LLM)-based agents such as GPT-4. However, many commercial
conversational agent development tools are pipeline-based and have limitations
in holding a human-like conversation. This paper investigates the capabilities
of L... | http://arxiv.org/abs/2309.03748v1 |
Detecting Earth-like exoplanets in direct images of nearby Sun-like systems
brings a unique set of challenges that must be addressed in the early phases of
designing a space-based direct imaging mission. In particular, these systems
may contain exozodiacal dust, which is expected to be the dominant source of
astrophysi... | http://arxiv.org/abs/2309.14234v1 |
The following is an improved version of Chapter 12 of my book [Sm17]. Among
others, we present a new unified approach to the Archimedean
Positivstellens\"atze for quadratic modules and semirings in Section 12.4 and
we add a number of new results on Positivstellens\"atze for semirings and the
corresponding moment proble... | http://arxiv.org/abs/2309.10052v1 |
About one-fifth of the Galactic globular clusters (GCs), dubbed Type II GCs,
host distinct stellar populations with different heavy elements abundances. NGC
1851 is one of the most studied Type II GCs, surrounded by several
controversies regarding the spatial distribution of its populations and the
presence of star-to-... | http://arxiv.org/abs/2309.16423v1 |
Using Godement mean on the Fourier-Stieltjes algebra of a locally compact
quantum group we obtain strong separation results for quantum positive-definite
functions associated to a subclass of representations, strengthening for
example the known relationship between amenability of a discrete quantum group
and existence ... | http://arxiv.org/abs/2309.10046v1 |
This work investigates a modified Schelling model within the scope and aims
of Social Physics. The main purpose is to see if how the concepts of potential
and kinetic energy can be represented within a computational sociological
system. A monetary value is assigned to all the agents in the Monetary
Schelling model and ... | http://arxiv.org/abs/2309.06624v1 |
In Green's function theory, the total energy of an interacting many-electron
system can be expressed in a variational form using the Klein or Luttinger-Ward
functionals. Green's function theory also naturally addresses the case where
the interacting system is embedded into a bath. This latter can then act as a
dynamica... | http://arxiv.org/abs/2309.11358v1 |
Federated training of Graph Neural Networks (GNN) has become popular in
recent years due to its ability to perform graph-related tasks under data
isolation scenarios while preserving data privacy. However, graph heterogeneity
issues in federated GNN systems continue to pose challenges. Existing
frameworks address the p... | http://arxiv.org/abs/2309.09517v3 |
Temporal heterogeneous networks (THNs) are evolving networks that
characterize many real-world applications such as citation and events networks,
recommender systems, and knowledge graphs. Although different Graph Neural
Networks (GNNs) have been successfully applied to dynamic graphs, most of them
only support homogen... | http://arxiv.org/abs/2310.00336v1 |
We introduce the Macaulay2 package HomologicalShiftIdeals. It allows to
compute the homological shift ideals of a monomial ideal, and to check the
homological shift properties, including having linear resolution, having linear
quotients, or being polymatroidal. The theory behind these concepts is
explained and the main... | http://arxiv.org/abs/2309.09271v1 |
The variety and complexity of heterogeneous materials in the engineering
practice are continuously increasing, open-cell metal foams filled with phase
change materials are typical examples. These are also having an impact on the
recent developments in the energy industry. Earlier room temperature heat pulse
experiments... | http://arxiv.org/abs/2306.17621v1 |
Considering the bimodal nature of human speech perception, lips, and teeth
movement has a pivotal role in automatic speech recognition. Benefiting from
the correlated and noise-invariant visual information, audio-visual recognition
systems enhance robustness in multiple scenarios. In previous work,
audio-visual HuBERT ... | http://arxiv.org/abs/2303.12187v1 |
The purpose of this article is to introduce the concept of invariance and its
properties. These properties can be used to check the primality of a number.
Combining these properties with the Euler theorem, it is possible to generalize
this theorem for all the values of $a^{\varphi(m)}$ where $0 < a < m {\pmod
{m}}$ ind... | http://arxiv.org/abs/2307.16616v2 |
In this paper, we introduce several new quasi-Newton methods for the
composite multiobjective optimization problems (in short, CMOP) with Armijo
line search. These multiobjective versions of quasi-Newton methods include BFGS
quasi-Newnon method, self-scaling BFGS quasi-Newnon method, and Huang BFGS
quasi-Newnon method.... | http://arxiv.org/abs/2309.04966v1 |
Organ at Risk (OAR) segmentation from CT scans is a key component of the
radiotherapy treatment workflow. In recent years, deep learning techniques have
shown remarkable potential in automating this process. In this paper, we
investigate the performance of Generative Adversarial Networks (GANs) compared
to supervised l... | http://arxiv.org/abs/2303.17941v1 |
Emerging from the pairwise attention in conventional Transformers, there is a
growing interest in sparse attention mechanisms that align more closely with
localized, contextual learning in the biological brain. Existing studies such
as the Coordination method employ iterative cross-attention mechanisms with a
bottlenec... | http://arxiv.org/abs/2309.12862v3 |
The Ariel Space Mission aims to observe a diverse sample of exoplanet
atmospheres across a wide wavelength range of 0.5 to 7.8 microns. The
observations are organized into four Tiers, with Tier 1 being a reconnaissance
survey. This Tier is designed to achieve a sufficient signal-to-noise ratio
(S/N) at low spectral res... | http://arxiv.org/abs/2309.06817v1 |
Vision Transformers (ViTs) have emerged as a promising approach for visual
recognition tasks, revolutionizing the field by leveraging the power of
transformer-based architectures. Among the various ViT models, Swin
Transformers have gained considerable attention due to their hierarchical
design and ability to capture b... | http://arxiv.org/abs/2308.00197v1 |
Extreme events are unusual and rare large-amplitude fluctuations that occur
can unexpectedly in nonlinear dynamical systems. Events above the extreme event
threshold of the probability distribution of a nonlinear process characterize
extreme events. Different mechanisms for the generation of extreme events and
their pr... | http://arxiv.org/abs/2301.13386v1 |
In combinatorial causal bandits (CCB), the learning agent chooses a subset of
variables in each round to intervene and collects feedback from the observed
variables to minimize expected regret or sample complexity. Previous works
study this problem in both general causal models and binary generalized linear
models (BGL... | http://arxiv.org/abs/2301.13392v4 |
In rotations with a binary symbolic dynamics, a critical curve is the locus
of parameters for which the boundaries of the partition that defines the
symbolic dynamics are connected via a prescribed number of iterations and
symbolic itinerary. We study the arithmetical and geometrical properties of
these curves in param... | http://arxiv.org/abs/2303.17955v1 |
This paper introduces a novel one-stage end-to-end detector specifically
designed to detect small lesions in medical images. Precise localization of
small lesions presents challenges due to their appearance and the diverse
contextual backgrounds in which they are found. To address this, our approach
introduces a new ty... | http://arxiv.org/abs/2309.12876v1 |
Over the past few years, a tremendous growth of machine learning was brought
about by a significant increase in adoption and implementation of cloud-based
services. As a result, various solutions have been proposed in which the
machine learning models run on a remote cloud provider and not locally on a
user's machine. ... | http://arxiv.org/abs/2309.08190v1 |
We explore the feasibility of learning the connection between SDSS galaxies
and ELUCID subhaloes with random forest (RF). ELUCID is a constrained $N$-body
simulation constructed using the matter density field of SDSS. Based on an
SDSS-ELUCID matched catalogue, we build RF models that predict $M_r$ magnitude,
colour, st... | http://arxiv.org/abs/2307.00060v1 |
Optical coherence tomography is state-of-the-art in non-invasive imaging of
biological structures. Spectral Domain Optical Co-herence Tomography is the
popularly used variation of this technique, but its performance is limited by
the bandwidth and res-olution of the system. In this work, we theoretically
formulate the ... | http://arxiv.org/abs/2302.14813v1 |
This paper employs techniques from metric geometry and optimal transport
theory to address questions related to the analysis of functional data on
metric or metric-measure spaces, which we refer to as fields. Formally, fields
are viewed as 1-Lipschitz mappings between Polish metric spaces with the domain
possibly equip... | http://arxiv.org/abs/2309.10907v2 |
We present an experimental study of bilayers of a disordered Ag metal layer
close to the metal-insulator transition and an Indium Oxide film which is on
the insulating side of the superconductor-insulator-transition. Our results
show that superconducting fluctuations within the indium-oxide film, that
proximitize the u... | http://arxiv.org/abs/2307.16602v1 |
Computing the marginal likelihood (also called the Bayesian model evidence)
is an important task in Bayesian model selection, providing a principled
quantitative way to compare models. The learned harmonic mean estimator solves
the exploding variance problem of the original harmonic mean estimation of the
marginal like... | http://arxiv.org/abs/2307.00048v3 |
Solving linear inverse problems plays a crucial role in numerous
applications. Algorithm unfolding based, model-aware data-driven approaches
have gained significant attention for effectively addressing these problems.
Learned iterative soft-thresholding algorithm (LISTA) and alternating direction
method of multipliers ... | http://arxiv.org/abs/2309.06195v1 |
Enriching the robot representation of the operational environment is a
challenging task that aims at bridging the gap between low-level sensor
readings and high-level semantic understanding. Having a rich representation
often requires computationally demanding architectures and pure point cloud
based detection systems ... | http://arxiv.org/abs/2309.12692v1 |
Handwriting recognition remains challenging for some of the most spoken
languages, like Bangla, due to the complexity of line and word segmentation
brought by the curvilinear nature of writing and lack of quality datasets. This
paper solves the segmentation problem by introducing a state-of-the-art method
(BN-DRISHTI) ... | http://arxiv.org/abs/2306.09351v1 |
In this paper we derive an upper bound for the degree of the strict invariant
algebraic curve of a polynomial system in the complex project plane under
generic condition. The results are obtained through the algebraic
multiplicities of the system at the singular points. A method for computing the
algebraic multiplicity... | http://arxiv.org/abs/2309.16392v1 |
We prove the Eigenstate Thermalisation Hypothesis for Wigner matrices
uniformly in the entire spectrum, in particular near the spectral edges, with a
bound on the fluctuation that is optimal for any observable. This complements
earlier works of Cipolloni et. al. (Comm. Math. Phys. 388, 2021; Forum Math.,
Sigma 10, 2022... | http://arxiv.org/abs/2309.05488v3 |
In this article, we study the role of invariant distances in the Pick
interpolation problem. Given a Carath\'eodory hyperbolic domain $\Omega$ in
some $\mathbb{C}^m$, we have introduced a notion of an invariant object that
gives a necessary and sufficient condition for any Pick interpolation problem
to be solvable on $... | http://arxiv.org/abs/2309.04796v1 |
I introduce a novel algorithm and accompanying Python library, named
mlcausality, designed for the identification of nonlinear Granger causal
relationships. This novel algorithm uses a flexible plug-in architecture that
enables researchers to employ any nonlinear regressor as the base prediction
model. Subsequently, I ... | http://arxiv.org/abs/2309.05107v1 |
Few-shot Medical Image Segmentation (FSMIS) is a more promising solution for
medical image segmentation tasks where high-quality annotations are naturally
scarce. However, current mainstream methods primarily focus on extracting
holistic representations from support images with large intra-class variations
in appearanc... | http://arxiv.org/abs/2309.11172v1 |
We consider a disordered waveguide consisting of trivial dielectric and
non-trivial magnetically anisotropic material. A topologically-protected edge
mode appears owing to the broken time-reversal symmetry of the non-trivial
lattice. While the edge mode maintains under other position and radius
disorders, the protectio... | http://arxiv.org/abs/2309.07710v1 |
By recognizing the tremendous flexibility of the emerging fluid antenna
system (FAS), which allows dynamic reconfigurability of the location of the
antenna within a given space, this paper investigates the performance of a
single-antenna FAS over spatially correlated Nakagami-$m$ fading channels.
Specifically, simple a... | http://arxiv.org/abs/2309.08423v1 |
This study introduces a structural-based training approach for CNN-based
algorithms in single-molecule localization microscopy (SMLM) and 3D object
reconstruction. We compare this approach with the traditional random-based
training method, utilizing the LUENN package as our AI pipeline. The
quantitative evaluation demo... | http://arxiv.org/abs/2309.17265v1 |
Language models (LMs) have already demonstrated remarkable abilities in
understanding and generating both natural and formal language. Despite these
advances, their integration with real-world environments such as large-scale
knowledge bases (KBs) remains an underdeveloped area, affecting applications
such as semantic ... | http://arxiv.org/abs/2309.08345v3 |
In particle-laden turbulence, the Fourier Lagrangian spectrum of each phase
is regularly computed, and analytically derived response functions relate the
Lagrangian spectrum of the fluid- and the particle phase. However, due to the
periodic nature of the Fourier basis, the analysis is restricted to
statistically statio... | http://arxiv.org/abs/2301.13621v1 |
In this paper, we present a novel workflow consisting of algebraic algorithms
and data structures for fast and topologically accurate conversion of vector
data models such as Boundary Representations into voxels (topological
voxelization); spatially indexing them; constructing connectivity graphs from
voxels; and const... | http://arxiv.org/abs/2309.15472v1 |
By classical Fatou type theorems in various setups, it is well-known that
positive harmonic functions have non-tangential limit at almost every point on
the boundary. In this paper, in the setting of non-positively curved Harmonic
manifolds of purely exponential volume growth, we are interested in the size of
the excep... | http://arxiv.org/abs/2309.05661v1 |
Context. The Doppler shift predicted by general relativity for light escaping
a gravitational potential has been observed on Earth as well as in the
direction of various stars and galaxy clusters at optical wavelengths. Aims.
Observing the gravitational redshift in the X-ray band within galaxy clusters
could provide in... | http://arxiv.org/abs/2309.15466v1 |
Effectively medication recommendation with complex multimorbidity conditions
is a critical task in healthcare. Most existing works predicted medications
based on longitudinal records, which assumed the information transmitted
patterns of learning longitudinal sequence data are stable and intra-visit
medical events are ... | http://arxiv.org/abs/2309.05675v1 |
In this paper we study the $s$-th symbolic powers of the edge ideals of
complete graphs. In particular, we provide a criterion for finding an
Eliahou-Kervaire splitting on these ideals, and use the splitting to provide a
description for the graded Betti numbers. We also discuss the symbolic powers
and graded Betti numb... | http://arxiv.org/abs/2309.13017v1 |
We investigate the properties of spiral shocks in a steady, adiabatic,
non-axisymmetric, self-gravitating, mass-outflowing accretion disk around a
compact object. We obtain the accretion-ejection solutions in a gaseous
galactic disk and apply them to the spiral galaxies to investigate the possible
physical connections ... | http://arxiv.org/abs/2309.17271v1 |
We explore the novel application of Large Language Models to code
optimization. We present a 7B-parameter transformer model trained from scratch
to optimize LLVM assembly for code size. The model takes as input unoptimized
assembly and outputs a list of compiler options to best optimize the program.
Crucially, during t... | http://arxiv.org/abs/2309.07062v1 |
The paper presents a novel methodology to build surrogate models of
complicated functions by an active learning-based sequential decomposition of
the input random space and construction of localized polynomial chaos
expansions, referred to as domain adaptive localized polynomial chaos expansion
(DAL-PCE). The approach ... | http://arxiv.org/abs/2301.13635v1 |
Deep reinforcement learning(DRL) is increasingly being explored in medical
imaging. However, the environments for medical imaging tasks are constantly
evolving in terms of imaging orientations, imaging sequences, and pathologies.
To that end, we developed a Lifelong DRL framework, SERIL to continually learn
new tasks i... | http://arxiv.org/abs/2306.00188v1 |
Self-supervised pre-training of language models usually consists in
predicting probability distributions over extensive token vocabularies. In this
study, we propose an innovative method that shifts away from probability
prediction and instead focuses on reconstructing input embeddings in a
contrastive fashion via Cons... | http://arxiv.org/abs/2309.08351v1 |
Offline model-based optimization aims to find a design that maximizes a
property of interest using only an offline dataset, with applications in robot,
protein, and molecule design, among others. A prevalent approach is gradient
ascent, where a proxy model is trained on the offline dataset and then used to
optimize the... | http://arxiv.org/abs/2309.11600v2 |
Large language models (LLMs) have revolutionized the field of artificial
intelligence, enabling natural language processing tasks that were previously
thought to be exclusive to humans. In this work, we introduce Qwen, the first
installment of our large language model series. Qwen is a comprehensive
language model seri... | http://arxiv.org/abs/2309.16609v1 |
The use of machine learning for time series prediction has become
increasingly popular across various industries thanks to the availability of
time series data and advancements in machine learning algorithms. However,
traditional methods for time series forecasting rely on pre-optimized models
that are ill-equipped to ... | http://arxiv.org/abs/2305.19837v1 |
Accurate dietary intake estimation is critical for informing policies and
programs to support healthy eating, as malnutrition has been directly linked to
decreased quality of life. However self-reporting methods such as food diaries
suffer from substantial bias. Other conventional dietary assessment techniques
and emer... | http://arxiv.org/abs/2309.07704v2 |
This paper proposes a novel approach for modeling and controlling nonlinear
systems with varying parameters. The approach introduces the use of a
parameter-varying Koopman operator (PVKO) in a lifted space, which provides an
efficient way to understand system behavior and design control algorithms that
account for unde... | http://arxiv.org/abs/2309.10278v1 |
We introduce and begin the study of quasi-BPS categories for K3 surfaces,
which are a categorical version of the BPS cohomologies for K3 surfaces. We
construct semiorthogonal decompositions of derived categories of coherent
sheaves on moduli stacks of semistable objects on K3 surfaces, where each
summand is a categoric... | http://arxiv.org/abs/2309.08437v1 |
We introduce the concept of matching powers of monomial ideals. Let $I$ be a
monomial ideal of $S=K[x_1,\dots,x_n]$, with $K$ a field. The $k$th matching
power of $I$ is the monomial ideal $I^{[k]}$ generated by the products
$u_1\cdots u_k$ where $u_1,\dots,u_k$ is a monomial regular sequence contained
in $I$. This con... | http://arxiv.org/abs/2309.13771v2 |
Existing neural relevance models do not give enough consideration for query
and item context information which diversifies the search results to adapt for
personal preference. To bridge this gap, this paper presents a neural learning
framework to personalize document ranking results by leveraging the signals to
capture... | http://arxiv.org/abs/2309.05113v1 |
Claims made by Zhu et al., PRL 120, 144502, (2018), that they had found
evidence of a transition to the so called "ultimate regime" in 2D simulations
of Rayleigh-B\'enard convection, have recently been repeated by Lohse &
Shishkina, Rev. Mod. Phys. 96, 03501 (2024). The author questions the validity
of these claims. | http://arxiv.org/abs/2303.00030v5 |
This report examines the effectiveness of Chain-of-Thought (CoT) prompting in
improving the multi-step reasoning abilities of large language models (LLMs).
Inspired by previous studies \cite{Min2022RethinkingWork}, we analyze the
impact of three types of CoT prompt perturbations, namely CoT order, CoT
values, and CoT o... | http://arxiv.org/abs/2309.16621v1 |
A current sheet (CS) is the central structure in the disrupting magnetic
configuration during solar eruptions. More than 90\% of the free magnetic
energy (the difference between the energy in the non-potential magnetic field
and that in the potential one) stored in the coronal magnetic field beforehand
is converted int... | http://arxiv.org/abs/2309.06432v1 |
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