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Quantum entanglement is a particularly useful characterization of topological
orders which lack conventional order parameters. In this work, we study the
entanglement in topologically ordered states between two arbitrary spatial
regions, using two distinct mixed-state entanglement measures: the so-called
"computable cr... | http://arxiv.org/abs/2301.08207v2 |
This paper presents a spiking neural network (SNN) accelerator made using
fully open-source EDA tools, process design kit (PDK), and memory macros
synthesized using OpenRAM. The chip is taped out in the 130 nm SkyWater process
and integrates over 1 million synaptic weights, and offers a reprogrammable
architecture. It ... | http://arxiv.org/abs/2302.01015v1 |
Recently, some fast radio bursts (FRBs) have been reported to exhibit complex
and diverse variations in Faraday rotation measurements (RM) and polarization,
suggesting that dynamically evolving magnetization environments may surround
them. In this paper, we investigate the Faraday conversion (FC) effect in a
binary sys... | http://arxiv.org/abs/2308.14325v1 |
In this paper, we construct and study various dual pairs acting on the
oscillator modules of the symplectic toroidal Lie algebras coordinated by
irrational quantum tori. This extends the classical Howe dual pairs to the
toroidal setup. | http://arxiv.org/abs/2307.15866v1 |
We propose a novel qubit architecture based on a planar $c$-axis Josephson
junction between a thin flake $d$-wave superconductor ($d$SC), such as a
high-$T_c$ cuprate Bi$_2$Sr$_2$CaCu$_2$O$_{8+x}$, and a conventional $s$-wave
superconductor. When operated in the transmon regime the device -- that we call
"$d$-mon" -- b... | http://arxiv.org/abs/2308.02547v2 |
In the field of document forensics, ink analysis plays a crucial role in
determining the authenticity of legal and historic documents and detecting
forgery. Visual examination alone is insufficient for distinguishing visually
similar inks, necessitating the use of advanced scientific techniques. This
paper proposes an ... | http://arxiv.org/abs/2306.05784v1 |
Let $\Bbbk$ be an algebraically closed field of characteristic 0. We study
some cohomological properties of Lie subalgebras of the Witt algebra $W =
\operatorname{Der}(\Bbbk[t,t^{-1}])$ and the one-sided Witt algebra $W_{\geq
-1} = \operatorname{Der}(\Bbbk[t])$. In the first part of the paper, we
consider finite codime... | http://arxiv.org/abs/2310.17466v1 |
Hydrodynamical simulations solve the governing equations on a discrete grid
of space and time. This discretization causes numerical diffusion similar to a
physical viscous diffusion, whose magnitude is often unknown or poorly
constrained. With the current trend of simulating accretion disks with no or
very low prescrib... | http://arxiv.org/abs/2308.03881v1 |
We derive sufficient conditions for an atomic measure $\sum_{\lambda \in
\Lambda} m_\lambda\, \delta_\lambda,$ where $\Lambda \subset \mathbb R^n,$
$m_\lambda$ are positive integers, and $\delta_\lambda$ is the point measure at
$\lambda,$ to be a Fourier quasicrystal, and suggest why they may also be
necessary. These c... | http://arxiv.org/abs/2302.07464v1 |
We prove the existence of unique smooth solutions to the quaternionic
Monge-Amp\`{e}re equation for $(n-1)$-quaternionic plurisubharmonic functions
on a hyperK\"{a}hler manifold and thus obtain solutions for the quaternionic
form type equation. We derive $C^0$ estimate by establishing a Cherrier-type
inequality as in T... | http://arxiv.org/abs/2301.09119v1 |
We study tropicalization of symplectic flag varieties with respect to the
Pl\"ucker embedding. We identify a particular maximal prime cone in this
tropicalization by explicitly giving its facets. For every interior point of
this maximal cone, the corresponding Gr\"obner degeneration is the toric
variety associated to t... | http://arxiv.org/abs/2302.10118v1 |
For an integer $b\geq 2$, we call a positive integer $b$-anti-Niven if it is
relatively prime to the sum of the digits in its base-$b$ representation. In
this article, we investigate the maximum lengths of arithmetic progressions of
$b$-anti-Niven numbers. | http://arxiv.org/abs/2308.05228v1 |
Motivated by the problem of classifying toric $2$-Fano manifolds, we
introduce a new invariant for smooth projective toric varieties, the minimal
projective bundle dimension. This invariant $m(X)\in\{1, \dots,\dim(X)\}$
captures the minimal degree of a dominating family of rational curves on $X$
or, equivalently, the m... | http://arxiv.org/abs/2301.00883v2 |
This paper provides a novel surface design and experimental evaluation of a
super-twisting algorithm (STA) based control for hydraulic cylinder actuators.
The proposed integral sliding surface allows to track a sufficiently smooth
reference without using the velocity state which is hardly accessible in the
noisy hydrau... | http://arxiv.org/abs/2310.07675v1 |
In minimum-cost inverse optimization problems, we are given a feasible
solution to an underlying optimization problem together with a linear cost
function, and the goal is to modify the costs by a small deviation vector so
that the input solution becomes optimal.
The difference between the new and the original cost f... | http://arxiv.org/abs/2302.13411v2 |
We present and implement a method for the experimental measurement of
geometric phase of non-geodesic (small) circles on any SU(2) parameter space.
This phase is measured by subtracting the dynamic phase contribution from the
total phase accumulated. Our design does not require theoretical anticipation
of this dynamic ... | http://arxiv.org/abs/2305.06905v1 |
Despite the frequent challenges posed by ambiguity when representing meaning
via natural language, it is often ignored or deliberately removed in tasks
mapping language to formally-designed representations, which generally assume a
one-to-one mapping between linguistic and formal representations. We attempt to
address ... | http://arxiv.org/abs/2306.00824v2 |
The in-medium dispersion of hard partons, encoded in their so-called
asymptotic mass, receives large non-perturbative contributions from classical
gluons, i.e. soft gluons with large occupation numbers. Here, we discuss how
the analytical properties of thermal amplitudes allow for a non-perturbative
determination of th... | http://arxiv.org/abs/2307.09297v1 |
We show that global vanishing of Massey products on a commutative
differential graded algebra is not invariant under field extension.
Non-vanishing triple Massey products remain non-vanishing upon field extension,
while higher Massey products can generally vanish. If the field being extended
is algebraically closed, al... | http://arxiv.org/abs/2304.10296v2 |
Imitation learning uses data for training policies to solve complex tasks.
However, when the training data is collected from human demonstrators, it often
leads to multimodal distributions because of the variability in human actions.
Most imitation learning methods rely on a maximum likelihood (ML) objective to
learn a... | http://arxiv.org/abs/2303.15349v2 |
Coherent acoustic phonon generation and detection assisted by optical
resonances are at the core of efficient optophononic transduction processes.
However, when dealing with a single optical resonance, the optimum generation
and detection conditions take place at different laser wavelengths, i.e.
different detunings fr... | http://arxiv.org/abs/2310.15271v1 |
The Event Horizon Telescope (EHT) has led to the first images of a
supermassive black hole, revealing the central compact objects in the
elliptical galaxy M87 and the Milky Way. Proposed upgrades to this array
through the next-generation EHT (ngEHT) program would sharply improve the
angular resolution, dynamic range, a... | http://arxiv.org/abs/2304.11188v1 |
Learning the Green's function using deep learning models enables to solve
different classes of partial differential equations. A practical limitation of
using deep learning for the Green's function is the repeated computationally
expensive Monte-Carlo integral approximations. We propose to learn the Green's
function by... | http://arxiv.org/abs/2308.00350v1 |
ChatGPT is phenomenal. However, it is prohibitively expensive to train and
refine such giant models. Fortunately, small language models are flourishing
and becoming more and more competent. We call them "mini-giants". We argue that
open source community like Kaggle and mini-giants will win-win in many ways,
technically... | http://arxiv.org/abs/2307.08189v2 |
We review minimal realistic grand unified models based on $SU(5)$ and
$SO(10)$ gauge groups. The models with small Higgs representations and higher
dimensional operators - under the assumption of no cancellations in proton
decay amplitudes - predict nearby oases with new light particles. Two of them
stand out: real fer... | http://arxiv.org/abs/2304.07932v2 |
Semantic segmentation of various tissue and nuclei types in histology images
is fundamental to many downstream tasks in the area of computational pathology
(CPath). In recent years, Deep Learning (DL) methods have been shown to perform
well on segmentation tasks but DL methods generally require a large amount of
pixel-... | http://arxiv.org/abs/2301.13141v2 |
Given an oriented closed manifold $M$ of odd dimension and a unitary
representation $\rho : \pi_1(M) \ra \GL_n(\F)$, we define a Reidemeister
torsion, even if the cohomology associated with $\rho$ is not acyclic. As
corollaries, we introduce some topological invariants of $M$, which include the
nonacyclic extensions of... | http://arxiv.org/abs/2308.10143v3 |
A pro-environmental attitude in the general population is essential to combat
climate change. Society as a whole has the power to change economic processes
through market demands and to exert pressure on policymakers - both are key
social factors that currently undermine the goals of decarbonization. Creating
long-last... | http://arxiv.org/abs/2303.12426v1 |
A large amount of feedback was collected over the years. Many feedback
analysis models have been developed focusing on the English language.
Recognizing the concept of feedback is challenging and crucial in languages
which do not have applicable corpus and tools employed in Natural Language
Processing (i.e., vocabulary... | http://arxiv.org/abs/2302.12069v1 |
Finding similar patients is a common objective in precision medicine,
facilitating treatment outcome assessment and clinical decision support.
Choosing widely-available patient features and appropriate mathematical methods
for similarity calculations is crucial. International Statistical
Classification of Diseases and ... | http://arxiv.org/abs/2308.07359v1 |
In this work, we introduce the theoretical framework of the phonon-mediated
Migdal effect for neutrino-nucleus scattering in semiconductors, considering
both the Standard Model and the presence of the neutrino magnetic moment. We
calculate the rate of electron excitation resulting from the Migdal effect and
observe a s... | http://arxiv.org/abs/2310.05704v2 |
This paper describes $\pi2\text{vec}$, a method for representing behaviors of
black box policies as feature vectors. The policy representations capture how
the statistics of foundation model features change in response to the policy
behavior in a task agnostic way, and can be trained from offline data, allowing
them to... | http://arxiv.org/abs/2306.09800v2 |
We investigate the tunneling phenomenon of particles through the horizon of a
magnetized Ernst-like black hole. We employ the modified Lagrangian equation
with the extended uncertainty principle for this black hole. We determine a
tunneling rate and the related Hawking temperature for this black hole by using
the WKB a... | http://arxiv.org/abs/2301.13627v1 |
We inspected 45 actively deployed Operational Technology (OT) product
families from ten major vendors and found that every system suffers from at
least one trivial vulnerability. We reported a total of 53 weaknesses, stemming
from insecure by design practices or basic security design failures. They
enable attackers to ... | http://arxiv.org/abs/2303.12340v1 |
The recent progress in large language models (LLMs), especially the invention
of chain-of-thought prompting, has made it possible to automatically answer
questions by stepwise reasoning. However, when faced with more complicated
problems that require non-linear thinking, even the strongest LLMs make
mistakes. To addres... | http://arxiv.org/abs/2308.00436v3 |
Let $\nu$ be a Borel probability measure on a $d$-dimensional Euclidean space
$\mathbb{R}^d$, $d\geq 1$, with a compact support, and let $(p_0, p_1, p_2,
\ldots, p_N)$ be a probability vector with $p_j>0$ for $1\leq j\leq N$. Let
$\{S_j: 1\leq j\leq N\}$ be a set of contractive mappings on $\mathbb R^d$.
Then, a Borel ... | http://arxiv.org/abs/2303.14731v1 |
This paper proposes a novel controllable human motion synthesis method for
fine-level deformation based on static point-based radiance fields. Although
previous editable neural radiance field methods can generate impressive results
on novel-view synthesis and allow naive deformation, few algorithms can achieve
complex ... | http://arxiv.org/abs/2310.03375v1 |
In this paper, we develop the mathematical framework to describe the physical
phenomenon behind the equilibrium configuration joining two antiferromagnetic
domains. We firstly define the total energy of the system and deduce the
governing equations by minimizing it with respect to the field variables. Then,
we solve th... | http://arxiv.org/abs/2301.12539v1 |
We consider the problem of extending an acyclic binary relation that is
invariant under a given family of transformations into an invariant preference.
We show that when a family of transformations is commutative, every acyclic
invariant binary relation extends. We find that, in general, the set of
extensions agree on ... | http://arxiv.org/abs/2303.04522v1 |
We present DARTS, a transformer model for reference-based image
super-resolution. DARTS learns joint representations of two image distributions
to enhance the content of low-resolution input images through matching
correspondences learned from high-resolution reference images. Current
state-of-the-art techniques in ref... | http://arxiv.org/abs/2307.08837v1 |
The last decade has witnessed the proliferation of micro-videos on various
user-generated content platforms. According to our statistics, around 85.7\% of
micro-videos lack annotation. In this paper, we focus on annotating
micro-videos with tags. Existing methods mostly focus on analyzing video
content, neglecting user... | http://arxiv.org/abs/2303.08318v1 |
Dense vector representations for textual data are crucial in modern NLP. Word
embeddings and sentence embeddings estimated from raw texts are key in
achieving state-of-the-art results in various tasks requiring semantic
understanding. However, obtaining embeddings at the document level is
challenging due to computation... | http://arxiv.org/abs/2304.14796v1 |
Developing protocols for preserving information in quantum systems is a
central quest for implementing realistic quantum computation. In this regard,
the quantum Zeno effect has emerged as a widely utilized technique to safeguard
classical information stored in quantum systems. However, existing results
pertaining to t... | http://arxiv.org/abs/2304.05843v2 |
The spherical capillary water waves equation describes the motion of an
almost spherical water droplet under zero gravity governed by water-air
interface tension. Using para-differential calculus on compact Lie groups and
homogeneous spaces developed by the author, the system is symmetrized into a
quasi-linear dispersi... | http://arxiv.org/abs/2310.07113v1 |
The need for control strategies that can address dynamic system uncertainty
is becoming increasingly important. In this work, we propose a Model Predictive
Control by quantifying the risk of failure in our system model. The proposed
control scheme uses a Priced Timed Automata representation of the manufacturing
system ... | http://arxiv.org/abs/2302.08031v1 |
We propose to use image captions from the Web as a previously underutilized
resource for paraphrases (i.e., texts with the same "message") and to create
and analyze a corresponding dataset. When an image is reused on the Web, an
original caption is often assigned. We hypothesize that different captions for
the same ima... | http://arxiv.org/abs/2301.11030v2 |
Machine-learned systems are in widespread use for making decisions about
humans, and it is important that they are fair, i.e., not biased against
individuals based on sensitive attributes. We present runtime verification of
algorithmic fairness for systems whose models are unknown, but are assumed to
have a Markov chai... | http://arxiv.org/abs/2305.15979v1 |
We consider a discrete distribution estimation problem under a local
differential privacy (LDP) constraint in the presence of shared randomness. By
exploiting the shared randomness, we suggest a new method for constructing LDP
schemes which achieve the exactly optimal privacy-utility trade-off (PUT) with
the communicat... | http://arxiv.org/abs/2307.03962v1 |
We present READ Avatars, a 3D-based approach for generating 2D avatars that
are driven by audio input with direct and granular control over the emotion.
Previous methods are unable to achieve realistic animation due to the
many-to-many nature of audio to expression mappings. We alleviate this issue by
introducing an ad... | http://arxiv.org/abs/2303.00744v1 |
Mutational signatures connect characteristic mutational patterns in the
genome with biological processes that take place in the tumor tissues. Analysis
of mutational signatures can help elucidate tumor evolution, prognosis, and
therapeutic strategies. Although tools for extracting mutational signatures de
novo have bee... | http://arxiv.org/abs/2310.01562v1 |
The quantum phase transition between the low-field fracton phase with type-II
fracton excitations and the high-field polarized phase is investigated in the
two-dimensional self-dual quantum Newman-Moore model. We apply perturbative and
numerical linked-cluster expansions to calculate the ground-state energy per
site in... | http://arxiv.org/abs/2302.01773v1 |
Let $G$ be a graph and $X\subseteq V(G)$. Then, vertices $x$ and $y$ of $G$
are $X$-visible if there exists a shortest $u,v$-path where no internal
vertices belong to $X$. The set $X$ is a mutual-visibility set of $G$ if every
two vertices of $X$ are $X$-visible, while $X$ is a total mutual-visibility set
if any two ve... | http://arxiv.org/abs/2308.14443v1 |
For a vertex $x$ of a digraph, $d^+(x)$ ($d^-(x)$, resp.) is the number of
vertices at distance 1 from (to, resp.) $x$ and $d^{++}(x)$ is the number of
vertices at distance 2 from $x$. In 1995, Seymour conjectured that for any
oriented graph $D$ there exists a vertex $x$ such that $d^+(x)\leq d^{++}(x)$.
In 2006, Sulli... | http://arxiv.org/abs/2306.03493v1 |
We define a virtual cactus group and show that the cactus group action on
Littelmann paths is compatible with the virtualization map defined by
Pan-Scrimshaw \cite{PS18}. Our definition generalizes the group with the same
name defined for the symplectic Lie algebra by the author in joint work with O.
Azenhas and M. Tar... | http://arxiv.org/abs/2302.11560v1 |
We investigate the spin-$\frac{1}{2}$ nearest-neighber Heisenberg model with
the four-site ring-exchange $J_4$ and chiral interaction $J_\chi$ on the
triangular lattice by using the variational Monte Carlo method. The $J_4$ term
induces the quadratic band touching (QBT) quantum spin liquid (QSL) with only a
$d+id$ spin... | http://arxiv.org/abs/2306.03478v1 |
This work focuses on the generation of a composite clock for time scales and
shows the advantages of a more recent digital approach with respect to a
traditional analog one. A digital approach directly processes the information
contained into the clock sinusoids, instead of the sinusoids themselves and
leads to signifi... | http://arxiv.org/abs/2307.03751v1 |
We provide a simple algorithm for constructing Hamiltonian graph cycles
(visiting every vertex exactly once) on a set of arbitrarily large finite
subgraphs of aperiodic two-dimensional Ammann-Beenker (AB) tilings. Using this
result, and the discrete scale symmetry of AB tilings, we find exact solutions
to a range of ot... | http://arxiv.org/abs/2302.01940v4 |
We introduce networked communication to the mean-field game framework, in
particular to oracle-free settings where $N$ decentralised agents learn along a
single, non-episodic run of the empirical system. We prove that our
architecture has sample guarantees bounded between those of the centralised-
and independent-learn... | http://arxiv.org/abs/2306.02766v4 |
Currently available star cluster catalogues from HST imaging of nearby
galaxies heavily rely on visual inspection and classification of candidate
clusters. The time-consuming nature of this process has limited the production
of reliable catalogues and thus also post-observation analysis. To address this
problem, deep t... | http://arxiv.org/abs/2307.15133v1 |
The supersymmetric baby-Skyrme model is an interesting field theoretical
model, and its BPS states have been studied using the usual methods. Here, we
propose a novel method to rigorously obtain both topologically stable BPS and
non-BPS states in the $\mathcal{N}=2$ baby Skyrme Model. It is observed that
the BPS states... | http://arxiv.org/abs/2310.10484v2 |
In the classic version of the game of firefighter, on the first turn a fire
breaks out on a vertex in a graph $G$ and then $b$ firefighters protect $b$
vertices. On each subsequent turn, the fire spreads to the collective unburnt
neighbourhood of all the burning vertices and the firefighters again protect
$b$ vertices.... | http://arxiv.org/abs/2306.12575v2 |
The Rubin Observatory's 10-year Legacy Survey of Space and Time will observe
near to 20 billion galaxies. For each galaxy the properties can be inferred.
Approximately $10^5$ galaxies observed per year will contain Type Ia supernovae
(SNe), allowing SN host-galaxy properties to be calculated on a large scale.
Measuring... | http://arxiv.org/abs/2308.04863v1 |
Maximum-distance separable (MDS) convolutional codes are characterized by the
property that their free distance reaches the generalized Singleton bound. In
this paper, new criteria to construct MDS convolutional codes are presented.
Additionally, the obtained convolutional codes have optimal first (reverse)
column dist... | http://arxiv.org/abs/2305.04647v2 |
Hashmap is a fundamental data structure in computer science. There has been
extensive research on constructing hashmaps that minimize the number of
collisions leading to efficient lookup query time. Recently, the data-dependant
approaches, construct hashmaps tailored for a target data distribution that
guarantee to uni... | http://arxiv.org/abs/2307.11355v2 |
We study visual question answering in a setting where the answer has to be
mined from a pool of relevant and irrelevant images given as a context. For
such a setting, a model must first retrieve relevant images from the pool and
answer the question from these retrieved images. We refer to this problem as
retrieval-base... | http://arxiv.org/abs/2306.16713v1 |
Monotonicity testing of Boolean functions on the hypergrid, $f:[n]^d \to
\{0,1\}$, is a classic topic in property testing. Determining the non-adaptive
complexity of this problem is an important open question. For arbitrary $n$,
[Black-Chakrabarty-Seshadhri, SODA 2020] describe a tester with query
complexity $\widetild... | http://arxiv.org/abs/2304.01416v1 |
ASASSN-22ak is a transient discovered by the All-Sky Automated Survey for
Supernovae and by Gaia in 2022 January. Although this object had been in deep
quiescence at least for seven years before this outburst, it has been showing
relatively regular long (35-40 d) outbursts with intervals of 132-188 d after
the 2022 Jan... | http://arxiv.org/abs/2307.00258v1 |
In this note we investigate the Prawitz's area theorem and establish a new
univalence criterion for the locally univalent analytic functions in the unit
disk, which generalizes some related results of Aharonov [Duke Math. J.,
36(1969), 599-604]. | http://arxiv.org/abs/2308.08081v1 |
We study time- and parameter-dependent ordinary differential equations in the
geometric setting of vector fields and their flows. Various degrees of
regularities in state are considered, including Lipschitz, finitely
diferentiable, smooth, and holomorphic. A suitable topology for the space of
flows is derived using geo... | http://arxiv.org/abs/2310.12293v1 |
Augmenting language models with a retrieval mechanism has been shown to
significantly improve their performance while keeping the number of parameters
low. Retrieval-augmented models commonly rely on a semantic retrieval mechanism
based on the similarity between dense representations of the query chunk and
potential ne... | http://arxiv.org/abs/2305.16243v3 |
A corner in a map is an edge-vertex-edge triple consisting of two distinct
edges incident to the same vertex. A corneration is a set of corners that
covers every arc of the map exactly once. Cornerations in a dart-transitive map
generalize the notion of a cycle structure in a symmetric graph. In this paper,
we study th... | http://arxiv.org/abs/2305.06050v1 |
We derive a Wentzel-Kramers-Brillouin (WKB) closure of the generalised
Lagrangian mean (GLM) theory by using a phase-averaged Hamilton variational
principle for the Euler--Boussinesq (EB) equations. Following Gjaja and Holm
1996, we consider 3D inertial gravity waves (IGWs) in the EB approximation. The
GLM closure for ... | http://arxiv.org/abs/2302.04838v2 |
A framework for tightly integrated motion mode classification and state
estimation in motion-constrained inertial navigation systems is presented. The
framework uses a jump Markov model to describe the navigation system's motion
mode and navigation state dynamics with a single model. A bank of Kalman
filters is then us... | http://arxiv.org/abs/2305.09363v2 |
This study aims to demonstrate the methods for detecting negations in a
sentence by uniquely evaluating the lexical structure of the text via
word-sense disambiguation. The proposed framework examines all the unique
features in the various expressions within a text to resolve the contextual
usage of all tokens and deci... | http://arxiv.org/abs/2302.02291v3 |
Large-scale graphs with node attributes are increasingly common in various
real-world applications. Creating synthetic, attribute-rich graphs that mirror
real-world examples is crucial, especially for sharing graph data for analysis
and developing learning models when original data is restricted to be shared.
Tradition... | http://arxiv.org/abs/2310.13833v2 |
Dark Matter (DM) particles with sufficiently large cross sections may scatter
as they travel through Earth's bulk. The corresponding changes in the DM flux
give rise to a characteristic daily modulation signal in detectors sensitive to
DM-electron interactions. Here, we report results obtained from the first
undergroun... | http://arxiv.org/abs/2307.07251v2 |
Recent empirical evidence indicates that transformer based in-context
learning performs better when using a prefix language model (prefixLM), in
which in-context samples can all attend to each other, compared to causal
language models (causalLM), which use auto-regressive attention that prohibits
in-context samples to ... | http://arxiv.org/abs/2308.06912v3 |
Abstract algebra provides a large hierarchy of properties that a collection
of objects can satisfy, such as forming an abelian group or a semiring. These
classifications can arranged into a broad and typically acyclic directed graph.
This graph perspective encodes naturally in the typeclass system of theorem
provers su... | http://arxiv.org/abs/2306.00617v2 |
This paper introduces two information-theoretically secure protocols that
achieve quantum secure direct communication between Alice and Bob in the first
case, and among Alice, Bod and Charlie in the second case. Both protocols use
the same novel method to embed the secret information in the entangled
composite system o... | http://arxiv.org/abs/2307.01620v1 |
The paper extends basic Einstein--Hilbert action by adding a newly proposed
invariant constructed from a specific contraction between the Einstein tensor
and the energy momentum tensor, encoding a non--minimal coupling between the
space--time geometry and the matter fields. The fundamental Einstein--Hilbert
action is e... | http://arxiv.org/abs/2302.04186v1 |
We examine the toy model of modal quantum theory (MQT), an
analogue of actual quantum theory based on finite fields.
In particular, we investigate how several essential ``no-go''
results (for cloning, deleting and hiding processes) work in
MQT. Cloning and deleting are still forbidden in MQT, though the
detai... | http://arxiv.org/abs/2310.04397v1 |
To apply the Hubbard-corrected density-functional theory for predicting some
known materials' properties, the Hubbard parameters are usually so tuned that
the calculations give results in agreement with some experimental data and then
one uses the tuned model to predict unknown properties. However, in designing
new unk... | http://arxiv.org/abs/2306.06266v1 |
We present a model of digital advertising with three key features: (i)
advertisers can reach consumers on and off a platform, (ii) additional data
enhances the value of advertiser-consumer matches, and (iii) bidding follows
auction-like mechanisms. We contrast data-augmented auctions, which leverage
the platform's data... | http://arxiv.org/abs/2304.08432v3 |
In this paper, using some conditions that arise naturally in Alon's
combinatorial Nullstellensatz as well as its various extensions and
generalizations, we characterize Gr\"{o}bner bases consisting of monic
polynomials, which helps us to establish a Nullstellensatz from a Gr\"{o}bner
basis perspective. As corollaries o... | http://arxiv.org/abs/2304.07701v1 |
It has been argued that semantic systems reflect pressure for efficiency, and
a current debate concerns the cultural evolutionary process that produces this
pattern. We consider efficiency as instantiated in the Information Bottleneck
(IB) principle, and a model of cultural evolution that combines iterated
learning and... | http://arxiv.org/abs/2305.10154v2 |
$\textit{Implicit neural representations}$ (INRs) aim to learn a
$\textit{continuous function}$ (i.e., a neural network) to represent an image,
where the input and output of the function are pixel coordinates and RGB/Gray
values, respectively. However, images tend to consist of many objects whose
colors are not perfect... | http://arxiv.org/abs/2310.14184v1 |
Whitney's extension problem, i.e., how one can tell whether a function $f : X
\to \mathbb R$, $X \subseteq \mathbb R^n$, is the restriction of a
$C^m$-function on $\mathbb R^n$, was solved in full generality by Charles
Fefferman in 2006. In this paper, we settle the $C^{1,\omega}$-case of a
related conjecture: given th... | http://arxiv.org/abs/2306.09155v2 |
A matching $M$ in a graph $G$ is an \emph{acyclic matching} if the subgraph
of $G$ induced by the endpoints of the edges of $M$ is a forest. Given a graph
$G$ and a positive integer $\ell$, Acyclic Matching asks whether $G$ has an
acyclic matching of size (i.e., the number of edges) at least $\ell$. In this
paper, we f... | http://arxiv.org/abs/2307.05446v1 |
Diffusion generative modeling has become a promising approach for learning
robotic manipulation tasks from stochastic human demonstrations. In this paper,
we present Diffusion-EDFs, a novel SE(3)-equivariant diffusion-based approach
for visual robotic manipulation tasks. We show that our proposed method
achieves remark... | http://arxiv.org/abs/2309.02685v3 |
With the advent of large language models (LLMs), the trend in NLP has been to
train LLMs on vast amounts of data to solve diverse language understanding and
generation tasks. The list of LLM successes is long and varied. Nevertheless,
several recent papers provide empirical evidence that LLMs fail to capture
important ... | http://arxiv.org/abs/2306.12213v1 |
The objective of this article is to investigate the profound nonlinear
optical response exhibited by inversion symmetric fullerene molecules under the
influence of different types of disorders described by the Anderson model. Our
aim is to elucidate the localization effects on the spectra of high harmonic
generation in... | http://arxiv.org/abs/2304.04208v2 |
In this paper, we continue the development of a fundament of discrete
octonionic analysis that is associated to the discrete first order
Cauchy-Riemann operator acting on octonions. In particular, we establish a
discrete octonionic version of the Borel-Pompeiu formula and of Cauchy's
integral formula. The latter then i... | http://arxiv.org/abs/2305.04121v1 |
In this short note, we show that the higher-order derivatives of the adjugate
matrix $\mbox{Adj}(z-A)$, are related to the nilpotent matrices and projections
in the Jordan decomposition of the matrix $A$. These relations appear as a
factorization of the derivative of the adjugate matrix as a product of factors
related ... | http://arxiv.org/abs/2303.09953v2 |
We tackle the problem of Persistent Independent Particles (PIPs), also called
Tracking Any Point (TAP), in videos, which specifically aims at estimating
persistent long-term trajectories of query points in videos. Previous methods
attempted to estimate these trajectories independently to incorporate longer
image sequen... | http://arxiv.org/abs/2306.02000v2 |
Quantum machine learning (QML) is a fast-growing discipline within quantum
computing. One popular QML algorithm, quantum kernel estimation, uses quantum
circuits to estimate a similarity measure (kernel) between two classical
feature vectors. Given a set of such circuits, we give a heuristic, predictive
model for the t... | http://arxiv.org/abs/2307.04980v1 |
The phase of the channel state information (CSI) is underutilized as a source
of information in wireless sensing due to its sensitivity to synchronization
errors of the signal reception. A linear transformation of the phase is
commonly applied to correct linear offsets and, in a few cases, some filtering
in time or fre... | http://arxiv.org/abs/2303.16873v2 |
In a directed graph $D$ on vertex set $v_1,\dots ,v_n$, a \emph{forward arc}
is an arc $v_iv_j$ where $i<j$. A pair $v_i,v_j$ is \emph{forward connected} if
there is a directed path from $v_i$ to $v_j$ consisting of forward arcs. In the
{\tt Forward Connected Pairs Problem} ({\tt FCPP}), the input is a strongly
connect... | http://arxiv.org/abs/2304.03567v2 |
The space environment around the Earth is becoming increasingly populated by
both active spacecraft and space debris. To avoid potential collision events,
significant improvements in Space Situational Awareness (SSA) activities and
Collision Avoidance (CA) technologies are allowing the tracking and maneuvering
of space... | http://arxiv.org/abs/2310.18966v1 |
Robust multi-view learning with incomplete information has received
significant attention due to issues such as incomplete correspondences and
incomplete instances that commonly affect real-world multi-view applications.
Existing approaches heavily rely on paired samples to realign or impute
defective ones, but such pr... | http://arxiv.org/abs/2305.12743v2 |
We present an in-vacuum bonded, 9.7 mL-volume Fabry-P\'erot ultrastable
optical reference cavity that operates without a vacuum enclosure. A laser
stabilized to the cavity demonstrates low, thermal noise-limited phase noise
and 5x10^{-14} Allan deviation at 1 second. | http://arxiv.org/abs/2307.04758v1 |
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