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Visualizing Dynamical Behavior in Agent-Based Models

And encountering emergent complexity along the wayIn my research into streamlining strategic knowledge extraction in game theoretic problems, I recently realized that I needed a better way to simply and intuitively visualize the behavior of agents with defined dynamical behavior.This led me to build a simple library for visualizing agent behavior as an animation using PyPlot. But before jumping into the tutorial, here’s a quick catch-up on the core concepts at play here.A Quick Primer on Dynamical Agent-Based…

Modeling Dynamical Systems With Neural ODE: A Hands-on Guide

Concepts, case studies, step-by-step implementationsContinue reading on Towards Data Science » Concepts, case studies, step-by-step implementationsContinue reading on Towards Data Science » FOLLOW US ON GOOGLE NEWS Read original article here Denial of responsibility! Techno Blender is an automatic aggregator of the all world’s media. In each content, the hyperlink to the primary source is specified. All trademarks belong to their rightful owners, all materials to their authors. If you are the owner of the…

Regional climate, kilometer-scale dynamical downscaling over the Tibetan Plateau

Schematic diagram of kilometer-scale (CPM in Figure), quarter-degree (DDM in Figure) and global climate model (GCM in Figure) simulate altitude and land cover distribution of the Tibetan Plateau. Credit: Science China Press Known as the "Roof of the World," the Tibetan Plateau is tough to study for meteorological scientists, given its high altitude, steep terrain and harsh natural environments. Limitations and uncertainties of…

Deep learning from a dynamical viewpoint

The continuous viewpoint of deep learning. Similar to how scientists study solid and fluid mechanics in the continuum limit, one can also idealize deep neural networks as a discretisation of a continuous dynamical system. In the schematic, the fictitious time parameter represents a continuous analog of layers and the dynamics model the layer stacking. Credit: Qianxiao Li NUS mathematicians have developed a new theoretical…

New Dynamical Framework for Turbulence Uncovered by Physicists

The researchers’ experiment featured transparent walls to allow full visual access and used a state-of-the-art flow visualization. Credit: Michael SchatzFindings reveal a new ‘roadmap’ for turbulence research with a broad range of applications, including more accurate weather forecasts and improving the fuel efficiency of cars and airplanes.Although most people don’t think about it, turbulence plays a key role in our daily lives. It makes for bumpy plane rides, affects weather and climate, limits the fuel efficiency of…

Scientists Have Developed a New Way to Measure The Ever-Elusive Gravitational Constant

A team of physicists has used a pair of vibrating rods to measure the gravitational constant to incredibly fine precision.While the new technique has relatively high uncertainty, they hope that future improvements will provide a new pathway to nailing down this elusive constant.  The gravitational constant, denoted as G, is the fundamental building block of our understanding of gravity. Isaac Newton first introduced the constant into his equations when he developed his universal theory of gravitation over 300 years…