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We consider the model of viscous compressible multi-fluids with multiple velocities. We review different formulations of the model and the existence results for boundary value problems. We analyze crucial mathematical difficulties which…

Analysis of PDEs · Mathematics 2017-11-22 Alexander Mamontov , Dmitriy Prokudin

Robustness estimation is critical for the design and maintenance of resilient networks, one of the global challenges of the 21st century. Existing studies exploit network metrics to generate attack strategies, which simulate intentional…

Social and Information Networks · Computer Science 2016-08-16 Sebastian Wandelt , Xiaoqian Sun

To date, the most precise measurement of the observer's peculiar velocity comes from the dipole in the Cosmic Microwave Background (CMB). This velocity also generates a dipole in the source number counts, whose amplitude is governed not…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-27 Fabien Lacasa , Camille Bonvin , Charles Dalang , Ruth Durrer

We have investigated a cosmological model with variable speed of light (c), gravitational constant (G) and cosmological constant (Lambda). The model is shown to solve the horizon, flatness and monopole problems of the early universe. We…

Astrophysics · Physics 2007-05-23 Arbab I. Arbab

When applying optimization method to a real-world problem, the possession of prior knowledge and preliminary analysis on the landscape of a global optimization problem can give us an insight into the complexity of the problem. This…

Neural and Evolutionary Computing · Computer Science 2017-07-11 Pramudita Satria Palar , Koji Shimoyama

A statistical method is presented for determining the velocity field in the immediate vicinity of groups of galaxies using only positional and redshift information with the goal of studying the perturbation of the Hubble flow around groups…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 F. D. A. Hartwick

The ability of Gaussian processes (GPs) to predict the behavior of dynamical systems as a more sample-efficient alternative to parametric models seems promising for real-world robotics research. However, the computational complexity of GPs…

Robotics · Computer Science 2022-03-01 Abdolreza Taheri , Joni Pajarinen , Reza Ghabcheloo

We study the three-dimensional Georgi-Glashow model to demonstrate how magnetic monopoles can be studied fully non-perturbatively in lattice Monte Carlo simulations, without any assumptions about the smoothness of the field configurations.…

High Energy Physics - Lattice · Physics 2009-11-07 A. C. Davis , A. Hart , T. W. B. Kibble , A. Rajantie

The network of filaments with embedded clusters surrounding voids seen in maps derived from redshift surveys and reproduced in simulations has been referred to as the cosmic web. A complementary description is provided by considering the…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-23 Daniel Pomarede , Yehuda Hoffman , Helene M Courtois , R. Brent Tully

Direct measurements of peculiar velocities of galaxies and clusters of galaxies can in principle provide explicit information on the three dimensional mass distribution, but this information is modulated by the fact that velocity field is…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Teppei Okumura , Uros Seljak , Zvonimir Vlah , Vincent Desjacques

Generalized linear models (GLMs) are fundamental tools for statistical modeling, with maximum likelihood estimation (MLE) serving as the classical approach for parameter inference. While MLE performs well for canonical GLMs, it can become…

Methodology · Statistics 2026-03-03 Linglingzhi Zhu , Jonghyeok Lee , Yao Xie

Velocity dispersions have been employed as a method to measure masses of clusters. To complement this conventional method, we explore the possibility of constraining cluster masses from the stacked phase space distribution of galaxies at…

Astrophysics of Galaxies · Physics 2019-09-04 Akinari Hamabata , Masamune Oguri , Takahiro Nishimichi

Efficient load forecasting is needed to ensure better observability in the distribution networks, whereas such forecasting is made possible by an increasing number of smart meter installations. Because distribution networks include a large…

Machine Learning · Computer Science 2022-04-04 Miha Grabner , Yi Wang , Qingsong Wen , Boštjan Blažič , Vitomir Štruc

For dynamical systems that can be modelled as asymptotically stable linear systems forced by Gaussian noise, this paper develops methods to infer or estimate their modes from observations in real time. The modes can be real or complex. For…

Machine Learning · Statistics 2019-10-30 Robert S. MacKay

Line-of-sight velocity distributions are crucial for unravelling the dynamics of hot stellar systems. We present a new formalism based on penalized likelihood for deriving such distributions from kinematical data, and evaluate the…

Astrophysics · Physics 2009-10-28 David Merritt

We use simulation to estimate the steady-state performance of a stable multiclass queueing network. Standard estimators have been seen to perform poorly when the network is heavily loaded. We introduce two new simulation estimators. The…

Probability · Mathematics 2020-05-29 Shane G. Henderson , Sean P. Meyn

In the rapidly evolving landscape of autonomous driving, the capability to accurately predict future events and assess their implications is paramount for both safety and efficiency, critically aiding the decision-making process. World…

Machine Learning · Computer Science 2024-05-08 Yanchen Guan , Haicheng Liao , Zhenning Li , Jia Hu , Runze Yuan , Yunjian Li , Guohui Zhang , Chengzhong Xu

The future motion of traffic participants is inherently uncertain. To plan safely, therefore, an autonomous agent must take into account multiple possible trajectory outcomes and prioritize them. Recently, this problem has been addressed…

Computer Vision and Pattern Recognition · Computer Science 2021-08-02 Christoph Schöller , Alois Knoll

Probabilistic smoothing is a standard tool for global optimization, but existing methods rely on Gaussian kernels and specific transforms, often resulting in strong hyperparameter sensitivity and limited robustness. We propose a general…

Machine Learning · Computer Science 2026-05-27 Kukyoung Jang , Taehyun Cho , Junrui Zhang , Ping Xu , Kyungjae Lee

We present novel upper and lower bounds to estimate the collision probability of motion plans for autonomous agents with discrete-time linear Gaussian dynamics. Motion plans generated by planning algorithms cannot be perfectly executed by…

Robotics · Computer Science 2021-11-01 Apurva Patil , Takashi Tanaka