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Distributed optimization is fundamental to modern machine learning applications like federated learning, but existing methods often struggle with ill-conditioned problems and face stability-versus-speed tradeoffs. We introduce fractional…

机器学习 · 计算机科学 2024-12-04 Andrei Lixandru , Marcel van Gerven , Sergio Pequito

In order to understand how the chemical and isotopic compositions of dust grains in a gaseous turbulent protoplanetary disk are altered during their journey in the disk, it is important to determine their individual trajectories. We study…

地球与行星天体物理 · 物理学 2015-05-28 Sebastien Charnoz , Laure Fouchet , Jérôme Aleon , Manuel Moreira

To explain important properties of extrasolar planetary systems (eg. close-in hot Jupiters, resonant planets) an evolutionary scenario which allows for radial migration of planets in disks is required. During their formation protoplanets…

地球与行星天体物理 · 物理学 2017-08-30 Willy Kley

This contribution presents substantial computational advancements to compare measures even with varying masses. Specifically, we utilize the nonequispaced fast Fourier transform to accelerate the radial kernel convolution in unbalanced…

最优化与控制 · 数学 2024-05-15 Rajmadan Lakshmanan , Alois Pichler

In this work, a flexible higher-order space-time adaptive finite element approximation of convection-dominated transport with coupled fluid flow is developed and studied. Convection-dominated transport is a challenging subproblem in…

数值分析 · 数学 2021-02-26 Markus Bause , Marius Paul Bruchhäuser , Uwe Köcher

In this work, we adapt a module for planetary formation within the hydrodynamic code FARGO3D. Planetary formation is modeled by a solid core accretion scenario, with the core growing in oligarchic regime. The initial superficial density of…

地球与行星天体物理 · 物理学 2019-10-18 L A DePaula , T A Michtchenko , P A Sousa-Silva

Due to the strong nonlinearity and nonholonomic dynamics, despite the various general trajectory optimization methods presented, few of them can guarantee efficient computation and physical feasibility for relatively complicated fixed-wing…

机器人学 · 计算机科学 2025-04-10 Junzhi Li , Jingliang Sun , Teng Long , Zhenlin Zhou

This paper presents a fast method for global search of atomic structures at ab initio level. The structures global optimization (SGO) engine consists of a high-efficiency differential evolution algorithm, accelerated local relaxation…

材料科学 · 物理学 2017-09-13 Zhanghui Chen , Weile Jia , Lin-Wang Wang

Rotationally supported, cold, gaseous disks are ubiquitous in astrophysics and appear in a diverse set of systems, such as protoplanetary disks, accretion disks around black holes, or large spiral galaxies. Capturing the gas dynamics…

天体物理仪器与方法 · 物理学 2023-09-28 Oliver Zier , Volker Springel

We consider problems of minimizing functionals $\mathcal{F}$ of probability measures on the Euclidean space. To propose an accelerated gradient descent algorithm for such problems, we consider gradient flow of transport maps that give…

最优化与控制 · 数学 2023-09-06 Ken'ichiro Tanaka

Continual learning aims to avoid catastrophic forgetting and effectively leverage learned experiences to master new knowledge. Existing gradient projection approaches impose hard constraints on the optimization space for new tasks to…

机器学习 · 计算机科学 2023-01-31 Zeyuan Yang , Zonghan Yang , Peng Li , Yang Liu

Diffusion transformers (DiT) have become the de facto choice for generating high-quality images and videos, largely due to their scalability, which enables the construction of larger models for enhanced performance. However, the increased…

计算机视觉与模式识别 · 计算机科学 2024-07-02 Pratheba Selvaraju , Tianyu Ding , Tianyi Chen , Ilya Zharkov , Luming Liang

Recently, compositional optimization (CO) has gained popularity because of its applications in distributionally robust optimization (DRO) and many other machine learning problems. Large-scale and distributed availability of data demands the…

机器学习 · 计算机科学 2023-11-22 Prashant Khanduri , Chengyin Li , Rafi Ibn Sultan , Yao Qiang , Joerg Kliewer , Dongxiao Zhu

Efficient Global Optimization (EGO) is widely used for the optimization of computationally expensive black-box functions. It uses a surrogate modeling technique based on Gaussian Processes (Kriging). However, due to the use of a stationary…

最优化与控制 · 数学 2018-09-14 Ali Hebbal , Loic Brevault , Mathieu Balesdent , El-Ghazali Talbi , Nouredine Melab

We investigate the dust velocity and spatial distribution in an eccentric protoplanetary disk under the secular gravitational perturbation of an embedded planet of about 5 Jupiter masses. We first employ the FARGO code to obtain the…

地球与行星天体物理 · 物理学 2015-06-11 He-Feng Hsieh , Pin-Gao Gu

Rapid aerial grasping through robots can lead to many applications that utilize fast and dynamic picking and placing of objects. Rigid grippers traditionally used in aerial manipulators require high precision and specific object geometries…

The rodeo algorithm has been proposed recently as an efficient method in quantum computing for projection of a given initial state onto a state of fixed energy for systems with discrete spectra. In the initial formulation of the rodeo…

量子物理 · 物理学 2023-09-27 Thomas D. Cohen , Hyunwoo Oh

The copious scientific literature produced after the detection of GW170817 electromagnetic counterpart demonstrated the importance of a prompt and accurate localization of the gravitational wave within the co-moving volume. In this letter,…

天体物理仪器与方法 · 物理学 2022-09-14 Stefano Rinaldi , Walter Del Pozzo

Numerical simulations including magnetic fields have become important in many fields of astrophysics. Evolution of magnetic fields by the constrained transport algorithm preserves magnetic divergence to machine precision, and thus…

天体物理学 · 物理学 2009-11-13 Jason Maron , Mordecai-Mark Mac Low , Jeffrey Oishi

Fast Fourier transform (FFT) based methods have turned out to be an effective computational approach for numerical homogenisation. In particular, Fourier-Galerkin methods are computational methods for partial differential equations that are…

数值分析 · 数学 2020-04-22 Jaroslav Vondřejc , Dishi Liu , Martin Ladecký , Hermann G. Matthies