Concept

Power law

Related publications (154)

Towards a metabolic theory of catchments: scaling of water and carbon fluxes with size

Allometric scaling relations are widely used to link biological processes in nature. They are typically expressed as power laws, postulating that the metabolic rate of an organism scales as its mass to the power of an allometric exponent, which ranges betw ...

2024

Modified capillary number to standardize droplet generation in suction-driven microfluidics

Jatin Panwar, Rahul Roy

In droplet microfluidic devices with suction-based flow control, the microchannel geometry and suction pressure at the outlet govern the dynamic properties of the two phases that influence the droplet generation. Therefore, it is critical to understand the ...

Heidelberg2024

Towards a metabolic theory of catchments: scaling of water and carbon fluxes with size

Sara Bonetti, Francesca Bassani

Catchments are heterogeneous ecosystems involving several abiotic and biotic processes, where the mutual interactions among water, vegetation, and biogeochemical fluxes take place at different scales. Many biological processes in nature are characterized b ...

2023

A Theory of Finite-Width Neural Networks: Generalization, Scaling Laws, and the Loss Landscape

Berfin Simsek

Deep learning has achieved remarkable success in various challenging tasks such as generating images from natural language or engaging in lengthy conversations with humans.The success in practice stems from the ability to successfully train massive neural ...

EPFL2023

Error scaling laws for kernel classification under source and capacity conditions

Florent Gérard Krzakala, Lenka Zdeborová, Hugo Chao Cui, Bruno Loureiro

In this manuscript we consider the problem of kernel classification. While worst-case bounds on the decay rate of the prediction error with the number of samples are known for some classifiers, they often fail to accurately describe the learning curves of ...

2023

Influence of the shear stress on fine sediment exchanges with the substrate using UVP measurements

Giovanni De Cesare, Romain Maxime Dubuis

The dynamic of fine sediment in rivers is closely related to the interactions between fine particles, the riverbed and the flow conditions. The accumulation of fine sediment in the riverbed reduces vertical water exchanges and can have detrimental effects ...

2023

Seeing the forest for the trees through metabolic scaling

Andrea Rinaldo, Amos Maritan

We demonstrate that when power scaling occurs for an individual tree and in a forest, there is great resulting simplicity notwithstanding the underlying complexity characterizing the system over many size scales. Our scaling framework unifies seemingly dis ...

2022

Scaling theory for the statistics of slip at frictional interfaces

Matthieu Wyart, Thomas Willem Jan de Geus

Slip at a frictional interface occurs via intermittent events. Understanding how these events are nucleated, can propagate, or stop spontaneously remains a challenge, central to earthquake science and tribology. In the absence of disorder, rate-and-state a ...

AMER PHYSICAL SOC2022

3PAC: A Plug-and-Play System for Distributed Power Sharing and Communication in Modular Robots

Jamie Paik, Kevin Andrew Holdcroft, Christoph Heinrich Belke

In modular robotics, there is classically a compromise between coupling complexity and functionality. The mechanical and electrical designs are linked, such that adding electrical features often requires redesigning the mechanical components. However, incr ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

Estimating the non-dimensional energy of vortex rings by modelling their roll-up

Karen Ann J Mulleners

The non-dimensional energy of starting vortex rings typically converges to values around 0.33 when they are created by a piston-cylinder or a bluff body translating at a constant speed. To explore the limits of the universality of this value and to analyse ...

2022

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