Mathematics: Recent submissions
Now showing items 101-120 of 1478
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Three learning stages and accuracy-efficiency tradeoff of restricted Boltzmann machines.
(2022-09-17)Restricted Boltzmann Machines (RBMs) offer a versatile architecture for unsupervised machine learning that can in principle approximate any target probability distribution with arbitrary accuracy. However, the RBM model ... -
Toward simulating superstring/M-theory on a quantum computer
(Springer Nature, 2021-07) -
Estimating truncation effects of quantum bosonic systems using sampling algorithms
(2023-12-01)To simulate bosons on a qubit- or qudit-based quantum computer, one has to regularize the theory by truncating infinite-dimensional local Hilbert spaces to finite dimensions. In the search for practical quantum applications, ... -
Tunneling-induced cosmic bounce in the presence of anisotropies
(2023-11-15)If we imagine rewinding the universe to early times, the scale factor shrinks and the existence of a finite spatial volume may play a role in quantum tunneling effects in a closed universe. It has recently been shown that ... -
Solving the initial conditions problem for modified gravity theories
(2023-11-15)Modified gravity theories such as Einstein scalar Gauss Bonnet contain higher-derivative terms in the spacetime curvature in their action, which results in modifications to the Hamiltonian and momentum constraints of the ... -
Relativistic drag forces on black holes from scalar dark matter clouds of all sizes
(2023-12-15)We use numerical simulations of scalar field dark matter evolving on a moving black hole background to confirm the regime of validity of (semi)analytic expressions derived from first principles for both dynamical friction ... -
Schrödinger equation for Sturm-Liouville operator with singular propagation and potential
(EMS Press, 16-04-2024)In this paper, we consider an initial/boundary value problem for the Schrödinger equation with the Hamiltonian involving the fractional Sturm–Liouville operator with singular propagation and potential. To construct a ... -
Hardy-Sobolev-Rellich, Hardy-Littlewood-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups
(09-05-2024)In this paper, we establish a number of geometrical inequalities such as Hardy, Sobolev, Rellich, Hardy–Littlewood–Sobolev, Caffarelli–Kohn–Nirenberg, Gagliardo-Nirenberg inequalities and their critical versions for an ... -
A multiscale modeling framework for Scenario Modeling: Characterizing the heterogeneity of the COVID-19 epidemic in the US.
(2024-03-05)The Scenario Modeling Hub (SMH) initiative provides projections of potential epidemic scenarios in the United States (US) by using a multi-model approach. Our contribution to the SMH is generated by a multiscale model that ... -
Meyer sets, pisot numbers, and self-similarity in symbolic dynamical systems
(Société Mathématique de France, 2024)Aperiodic order refers to the mathematical formalisation of quasicrystals. Substitutions and cut and project sets are among their main actors; they also play a key role in the study of dynamical systems, whether they are ... -
Explosive cooperation in social dilemmas on higher-order networks
(American Physical Society, 16-04-2024)Understanding how cooperative behaviors can emerge from competitive interactions is an open problem in biology and social sciences. While interactions are usually modeled as pairwise networks, the units of many real-world ... -
Constraints on the Cosmic Expansion History from GWTC-3
(2023-06-01)We use 47 gravitational wave sources from the Third LIGO-Virgo-Kamioka Gravitational Wave Detector Gravitational Wave Transient Catalog (GWTC-3) to estimate the Hubble parameter H(z), including its current value, the Hubble ... -
Search for Gravitational Waves Associated with Fast Radio Bursts Detected by CHIME/FRB during the LIGO-Virgo Observing Run O3a
(2023-10-01)We search for gravitational-wave (GW) transients associated with fast radio bursts (FRBs) detected by the Canadian Hydrogen Intensity Mapping Experiment Fast Radio Burst Project, during the first part of the third observing ... -
GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo during the Second Part of the Third Observing Run
(2023-10-01)The third Gravitational-Wave Transient Catalog (GWTC-3) describes signals detected with Advanced LIGO and Advanced Virgo up to the end of their third observing run. Updating the previous GWTC-2.1, we present candidate ... -
Open Data from the Third Observing Run of LIGO, Virgo, KAGRA, and GEO
(2023-08-01)The global network of gravitational-wave observatories now includes five detectors, namely LIGO Hanford, LIGO Livingston, Virgo, KAGRA, and GEO 600. These detectors collected data during their third observing run, O3, ... -
Research progress on the premature ovarian failure caused by cisplatin therapy.
(2023)Cisplatin is a common anticancer drug able to kill tumor cells, but it causes adverse reactions in the kidney, digestive tract, and other systems. The antitumor effects of cisplatin are mainly due to its ability to bind ...