Quanta Magazine

After 80 Years, Mathematicians Give Famed ‘Erdős Method’ an Upgrade

Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

A.I.’s First Big Math Breakthrough Is Not What It Seems

Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...
PNAS

Boson peak in covalent network glasses: Isostaticity and marginal stability

Excess nonphononic excitations beyond the Debye theory of phonons are central to understanding amorphous materials. Extensive light, inelastic X-ray, and neutron scattering experiments have documented ...
Scientific Research Publishing

A Review of Research on the Transportation Problem ()

1 School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, China. 2 Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of ...
C&EN

Scanning Thermal Microscopy Method for Self-Heating in Nonlinear Devices and Application to Filamentary Resistive Random-Access Memory

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Devices with a highly nonlinear resistance-voltage relationship are candidates for ...
IEEE

Resource Scheduling for eMBB and URLLC Multiplexing in NOMA-Based VANETs: A Dual Time-Scale Approach

Abstract: Enhanced mobile broadband (eMBB) and ultra-reliable low-latency communication (URLLC) are two critical services in vehicular networks. However, the presence of both services creates a ...
eLife

Flexible and efficient simulation-based inference for models of decision-making

Inferring parameters of computational models that capture experimental data is a central task in cognitive neuroscience. Bayesian statistical inference methods usually require the ability to evaluate ...
IEEE

Two Highest Penalties: A Modified Vogels Approximation Method to Find Initial Basic Feasible Solution of Transportation Problem

Abstract: Vogel's Approximation Method (VAM) is one of the methods to find Initial Basic Feasible Solution (IBFS) of Transportation Problem (TP), which is mostly used to find the solution with minimum ...
Frontiers

Reinforcement Learning With Human Advice: A Survey

In this paper, we provide an overview of the existing methods for integrating human advice into a reinforcement learning process. We first propose a taxonomy of the different forms of advice that can ...
Frontiers

Supervised Learning With First-to-Spike Decoding in Multilayer Spiking Neural Networks

Experimental studies support the notion of spike-based neuronal information processing in the brain, with neural circuits exhibiting a wide range of temporally-based coding strategies to rapidly and ...
Nature

An intercomparison of the pore network to the Navier–Stokes modeling approach applied for saturated conductivity estimation from X-ray CT images

Pore-scale models of flow and transport in porous media have various applications in geophysics, engineering or environmental modeling. These models can be divided into two general groups: pore ...