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Concept

Kleiber's law

Related publications (23)

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

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

First-Principles Density Limit Scaling in Tokamaks Based on Edge Turbulent Transport and Implications for ITER

Olivier Sauter, Alessandro Pau, Paolo Ricci, Maurizio Giacomin

A first-principles scaling law, based on turbulent transport considerations, and a multimachine database of density limit discharges from the ASDEX Upgrade, JET, and TCV tokamaks, show that the increase of the boundary turbulent transport with the plasma c ...

2022

A Scaling Law for SPAD Pixel Miniaturization

Edoardo Charbon, Kazuhiro Morimoto

The growing demands on compact and high-definition single-photon avalanche diode (SPAD) arrays have motivated researchers to explore pixel miniaturization techniques to achieve sub-10 μm pixels. The scaling of the SPAD pixel size has an impact on key perfo ...

2021

Thermally activated flow in models of amorphous solids

Matthieu Wyart, Thomas Willem Jan de Geus, Marko Popovic, Wencheng Ji

Amorphous solids yield at a critical value Sigma(c) of the imposed stress Sigma through a dynamical phase transition. While sharp in athermal systems, the presence of thermal fluctuations leads to the rounding of the transition and thermally activated flow ...

AMER PHYSICAL SOC2021

Theory-based scaling laws of near and far scrape-off layer widths in single-null L-mode discharges

Jan Horacek, Paolo Ricci, Holger Reimerdes, Cedric Kar-Wai Tsui, Maurizio Giacomin

Theory-based scaling laws of the near and far scrape-off layer (SOL) widths are analytically derived for L-mode diverted tokamak discharges by using a two-fluid model. The near SOL pressure and density decay lengths are obtained by leveraging a balance amo ...

IOP Publishing Ltd2021

A Low-noise CMOS SPAD Pixel with 12.1 ps SPTR and 3 ns Dead Time

Edoardo Charbon, Claudio Bruschini, Francesco Gramuglia, Myung Jae Lee, Ming-Lo Wu

In this paper, we present the first CMOS SPAD with performance comparable or better than that of the best custom SPADs, to date. The SPAD-based design, fully integrated in 180 nm CMOS technology, achieves a peak PDP of 55% at 480nm with a very broad spectr ...

2022

Modeling biochemical reaction networks in complex intracellular environments

Daniel Robert Weilandt

Whether one aims to design treatments for diseases such as cancer or diabetes, engineer cells to produce valuable biochemicals sustainably, or to grasp the behavior of living organisms, it is essential to understand how cells react to genetic, environmenta ...

EPFL2020

Allometric Scaling of physiologically-relevant organoids

Andrea Rinaldo

The functional and structural resemblance of organoids to mammalian organs suggests that they might follow the same allometric scaling rules. However, despite their remarkable likeness to downscaled organs, non-luminal organoids are often reported to posse ...

Nature Research2019

Detailed experiments on weakly deformed cavitation bubbles

Mohamed Farhat, Philipp Kobel, Danail Obreschkow, Nicolas Dorsaz, Philippe Kobel, Outi Supponen

We present high-precision experiments conducted with the aim to better characterise weak deformations of single cavitation bubbles. Using two needle hydrophones and a high-speed photodetector, we record the timings of shock waves and luminescence emitted a ...

SPRINGER2019

Rigidity of hemispherical elastic gridshells under point load indentation

Pedro Miguel Nunes Pereira de Almeida Reis

We present results from physical and numerical experiments on the rigidity of hemispherical gridshells under point load indentation. By systematically exploring the relevant parameters of the system, we provide a scaling law for the rigidity of elastic gri ...

PERGAMON-ELSEVIER SCIENCE LTD2019

Scaling as a key conceptual tool for the interpretation of empirical and experimental patterns in ecology and biology

Silvia Zaoli

This thesis is concerned with regular patterns found in ecology and biology, their linkages and the statistical description of their fluctuations around average trends. Among such patterns, often conforming to power laws, well-known examples include the Sp ...

EPFL2018

Covariations in ecological scaling laws fostered by community dynamics

Andrea Rinaldo, Amos Maritan, Andrea Giometto, Silvia Zaoli

Scaling laws in ecology, intended both as functional relationships among ecologically relevant quantities and the probability distributions that characterize their occurrence, have long attracted the interest of empiricists and theoreticians. Empirical evi ...

2017

On the energy benefit of compute-and-forward for multiple unicasts

Michael Christoph Gastpar, Jasper Goseling

Compute-and-forward (CF) is a technique which exploits broadcast and superposition in wireless networks. In this paper, the CF energy benefit is studied for networks with unicast sessions and modeled by connected graphs. This benefit is defined as the rati ...

Ieee2016

A Scaling Law to Predict the Finite-Length Performance of Spatially-Coupled LDPC Codes

Rüdiger Urbanke

Spatially-coupled low-density parity-check (SC-LDPC) codes are known to have excellent asymptotic properties. Much less is known regarding their finite-length performance. We propose a scaling law to predict the error probability of finite-length spatially ...

Institute of Electrical and Electronics Engineers2015

Form, function, and evolution of living organisms

Andrea Rinaldo, Amos Maritan

Despite the vast diversity of sizes and shapes of living organisms, life's organization across scales exhibits remarkable commonalities, most notably through the approximate validity of Kleiber's law, the power law scaling of metabolic rates with the mass ...

National Academy of Sciences2014

Material and velocity effects on cavitation erosion pitting

Ayat Karimi

Cavitation erosion during the incubation period was investigated via pitting tests conducted on three different materials: an Aluminum alloy, a Nickel Aluminum Bronze alloy and a Duplex Stainless Steel. Pitting tests were conducted in a cavitation tunnel i ...

2012

Metabolic principles of river basin organization

Andrea Rinaldo

The metabolism of a river basin is defined as the set of processes through which the basin maintains its structure and responds to its environment. Green (or biotic) metabolism is measured via transpiration and blue (or abiotic) metabolism through runoff. ...

2011

On the origin of transport non-universality and piezoresistivity in segregated conductor-insulator composites and application to thick-film resistors

Niklaus Johner

In this thesis we address the description of electrical transport properties of disordered conductor-insulator composites, mostly by numerical Monte Carlo simulations and analytical study of realistic tunnelling-percolation models. Such composites are basi ...

EPFL2009

Comparison of mean flow similarity laws in zero pressure gradient turbulent boundary layers

Peter Monkewitz

The paper presents an in depth assessment of different similarity laws for the mean velocity profile in zero pressure gradient (ZPG) turbulent boundary layers (TBL's) in comparison with mostly experimental and few computational data. The emphasis is on the ...

2008