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Space - Astrophysics Data System

Summarized by Plex Scholar
Last Updated: 21 September 2022

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Dimension matters when modeling network communities in hyperbolic spaces

Although a few studies have shown that hyperbolic models can generate community networks, another common feature in real networks, we argue that the current models are overlooking the choice of the latent space dimensionality that is required to accurately represent community data. Because only one more dimension allows us to design more accurate and diverse community structures, we can increase the number of nearest neighbors for angular clusters of cultures. Since increasing the number of nearest neighbors for angular clusters of communities, considering only one more dimension helps us to build more accurate and diverse community structures.

Source link: https://ui.adsabs.harvard.edu/abs/2022arXiv220909201D/abstract


The relative minimal model program for excellent algebraic spaces and analytic spaces in equal characteristic zero

We demonstrate a finite number of relative adjoint rings related to projective morphisms of such spaces using Cascini and Laziu u0107's generalization of the Kawamata-Viehweg vanishing theorem to the scheme setting that was not yet established by the second author.

Source link: https://ui.adsabs.harvard.edu/abs/2022arXiv220908732L/abstract


Discrete space-time resetting model: Application to first-passage and transmission statistics

At every time step to a given location with a constant probability, r walker moves randomly on a lattice of arbitrary dimensions resets randomly on a lattice of arbitrary lengths. We design a discrete renewal equation and display closed-form expressions for various quantities of the resetting dynamics in terms of the underlying reset-free propagator or Green's function. Also investigated are the resetting dynamics of a biased random walker in a one-dimensional domain bounded with periodic and reflecting boundaries. As r is variable, depending on the bias, the first-passage rate in a periodic domain shows multi-fold non-monotonicity.

Source link: https://ui.adsabs.harvard.edu/abs/2022arXiv220908330D/abstract


Counting 3d-spaces: classicality and probability in standard and many-worlds quantum mechanics from quantum-gravitational background-freedom

I explain that background freedom in quantum gravity leads to a dissociation of the quantum state from states with a classical 3d-space. While many complex variables in the global U1 gauge are ubiquitous, 6 the ontology is a state vector uniquely dissociable in many correlated fields, 2 the classical-3d-space states form an absolute favorite base, 3 the 3d-space geometries differ from classical times, 4 macro-branches support branching into many gauged classical-space states' increasing complexity, 6 the ratios 0̆3a8[0̆3b3,0̆3d5] become real by absorbing the complex phases of the classical field, 6 the classical fields corresponds based ont the Born rules obeying, 3d-space model, 3d-space states are commo ed-space model the classical world's design of the classically ed-space models are ed-space model incorporates model converge at any time, 3d-space converge ontology is ed-space es MATH_Bang converge at 2 mo converge at 3d-scale and 5 the classical determinables MATH ed-space state vector uniquely d-space ed-space converged-space based.

Source link: https://ui.adsabs.harvard.edu/abs/2022arXiv220908623C/abstract


Simplifying Model-based RL: Learning Representations, Latent-space Models, and Policies with One Objective

While reinforcement learning methods that build an internal model of the environment have the ability to be more sample-efficient than their model-free counterparts, learning to model raw data from high dimensional sensors can be daunting. Our bound is directly on the overall RL target, contrary to previous bounds for model-based RL on policy research or model guarantees. We show that the resulting algorithm matches or enhances the sample-efficiency of the most recent model-based and model-free RL methods, as shown by the table. Although such sample-efficient methods often are computationally demanding, our approach achieves SAC's results in less than half the clock time.

Source link: https://ui.adsabs.harvard.edu/abs/2022arXiv220908466G/abstract


Site-Net: Using global self-attention and real-space supercells to capture long-range interactions in crystal structures

The ability of interactions between all atomic locations is flexibly learned by the site's prediction task. We conduct a preliminary hyperparameter survey and train Site-Net using a single graphics processing unit, and display Site-Net's state-of-the-art results on a standard band gap regression task.

Source link: https://ui.adsabs.harvard.edu/abs/2022arXiv220908190M/abstract


Discretely Charged Dark Matter in Inflation Models Based on Holographic Space-time

Dark matter can be explained by the holographic spacetime model of inflation as small primordial black holes.

Source link: https://ui.adsabs.harvard.edu/abs/2022arXiv220908361B/abstract

* Please keep in mind that all text is summarized by machine, we do not bear any responsibility, and you should always check original source before taking any actions

* Please keep in mind that all text is summarized by machine, we do not bear any responsibility, and you should always check original source before taking any actions