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Discreteness effects are a source of uncontrolled systematic errors of N-body simulations, which are used to compute the evolution of a self-gravitating fluid. We have already developed the so-called "Particle Linear Theory" (PLT), which…

Astrophysics · Physics 2008-11-26 B. Marcos

The general scheme for the treatment of relaxation processes and temporal autocorrelations of dynamical variables for many particle systems is presented in framework of the recurrence relations approach. The time autocorrelation functions…

Statistical Mechanics · Physics 2013-12-10 Anatolii V. Mokshin

In this paper, we consider the efficient and robust reconstruction of signals and images via $\ell_{1}-\alpha \ell_{2}~(0<\alpha\leq 1)$ minimization in impulsive noise case. To achieve this goal, we introduce two new models: the…

Optimization and Control · Mathematics 2018-10-15 Peng Li , Huanmin Ge , Wengu Chen

We present the problematic of controlling the discreteness effects in cosmological N-body simulations. We describe a perturbative treatment which gives an approximation describing the evolution under self-gravity of a lattice perturbed from…

Statistical Mechanics · Physics 2009-11-13 B. Marcos

In physics, there is a scalar function called the action which behaves like a cost function. When minimized, it yields the "path of least action" which represents the path a physical system will take through space and time. This function is…

Machine Learning · Computer Science 2023-03-06 Tim Strang , Isabella Caruso , Sam Greydanus

Efficient numerical optimization methods can improve performance and reduce the environmental impact of computing in many applications. This work presents a proof-of-concept study combining primitive state representations and…

Machine Learning · Computer Science 2025-01-30 R. Sala

Reinforcement learning (RL) involves sequential decision making in uncertain environments. The aim of the decision-making agent is to maximize the benefit of acting in its environment over an extended period of time. Finding an optimal…

Artificial Intelligence · Computer Science 2007-05-23 Istvan Szita , Balint Takacs , Andras Lorincz

The least action principle (LAP) is a dynamically rigorous method for deriving the history of galaxy orbits. In particular it is an Omega_0 test, predicting current epoch galaxy velocities as a function of position and of the cosmological…

Astrophysics · Physics 2009-10-22 E. Branchini , R. G. Carlberg

We present a method to reconstruct the initial conditions of the universe using observed galaxy positions and luminosities under the assumption that the luminosities can be calibrated with weak lensing to give the mean halo mass. Our method…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-24 Chirag Modi , Yu Feng , Uros Seljak

We present a method for recovering the shape and radiance of a scene consisting of multiple people given solely a few images. Multi-human scenes are complex due to additional occlusion and clutter. For single-human settings, existing…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Qian li , Victoria Fernàndez Abrevaya , Franck Multon , Adnane Boukhayma

We introduce a new real space super cell approximation method for treating the electronic states of disordered systems. This method is general and allows both randomness in the on-site energies and in the hopping integrals. In the special…

Disordered Systems and Neural Networks · Physics 2007-05-23 Rostam Moradian

This paper discusses a novel fully implicit formulation for a 1D electrostatic particle-in-cell (PIC) plasma simulation approach. Unlike earlier implicit electrostatic PIC approaches (which are based on a linearized Vlasov-Poisson…

Computational Physics · Physics 2015-03-17 Guangye Chen , Luis Chacón , Daniel C. Barnes

We present a novel Relativistic Semi-Implicit Method (RelSIM) for particle-in-cell (PIC) simulations of astrophysical plasmas, implemented in a code framework ready for production runs. While explicit PIC methods have gained widespread…

High Energy Astrophysical Phenomena · Physics 2023-08-29 Fabio Bacchini

Optimizing the injection process in particle accelerators is crucial for enhancing beam quality and operational efficiency. This paper presents a framework for utilizing Reinforcement Learning (RL) to optimize the injection process at…

Accelerator Physics · Physics 2025-03-19 Awal Awal , Jan Hetzel , Ralf Gebel , Jörg Pretz

We derive a new criterion for estimating characteristic dynamical timescales in N-body simulations. The criterion uses the second, third, and fourth derivatives of particle positions: acceleration, jerk, and snap. It can be used for…

Earth and Planetary Astrophysics · Physics 2024-01-09 Dang Pham , Hanno Rein , David S. Spiegel

We investigate the range of applicability of a model for the real-space power spectrum based on N-body dynamics and a (quadratic) Lagrangian bias expansion. This combination uses the highly accurate particle displacements that can be…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-05 Chirag Modi , Shi-Fan Chen , Martin White

We reconstruct late-time cosmology using the technique of Principal Component Analysis (PCA). In particular, we focus on the reconstruction of the dark energy equation of state from two different observational data-sets, Supernovae type Ia…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-07 Ranbir Sharma , Ankan Mukherjee , H. K. Jassal

Particle in cell simulations are widely used in most fields of physics to investigate known and new phenomena which cannot be directly observed or measured yet. However, the computational and time resources needed for PICs make them…

For many applications of pulsed radiation, the time-history of the radiation intensity must be optimized to induce a desired time-history of conditions. This optimization is normally performed using multi-physics simulations of the system.…

Computational Physics · Physics 2019-03-14 Damian C. Swift , George B. Zimmerman

We propose a novel method for exploring the dynamics of physically based animated characters, and learning a task-agnostic action space that makes movement optimization easier. Like several previous papers, we parameterize actions as target…

Machine Learning · Computer Science 2021-07-26 Amin Babadi , Michiel van de Panne , C. Karen Liu , Perttu Hämäläinen