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This paper proposes a representational model for grid cells. In this model, the 2D self-position of the agent is represented by a high-dimensional vector, and the 2D self-motion or displacement of the agent is represented by a matrix that…

Machine Learning · Statistics 2019-05-28 Ruiqi Gao , Jianwen Xie , Song-Chun Zhu , Ying Nian Wu

When interacting in a three dimensional world, humans must estimate 3D structure from visual inputs projected down to two dimensional retinal images. It has been shown that humans use the persistence of object shape over motion-induced…

Neurons and Cognition · Quantitative Biology 2023-04-03 Marissa Connor , Bruno Olshausen , Christopher Rozell

The growing penetration of inverter-based resources and associated controls necessitates system-wide electromagnetic transient (EMT) analyses. EMT tools and methods today were not designed for the scale of these analyses. In light of the…

Systems and Control · Electrical Eng. & Systems 2023-05-04 Amritanshu Pandey

Generative models aim to learn the distribution of observed data by generating new instances. With the advent of neural networks, deep generative models, including variational autoencoders (VAEs), generative adversarial networks (GANs), and…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Zifan Shi , Sida Peng , Yinghao Xu , Andreas Geiger , Yiyi Liao , Yujun Shen

Two dimensional electric potential maps based on voltage detection in conducting paper are common practice in many physics courses in college. Most frequently, students work on `capacitor-like' geometries with current flowing between two…

Physics Education · Physics 2018-11-14 A. Badia-Majos , E. de Lorenzo Poza

This paper continues the application of circuit theory to experimental design started by the first two authors. The theory gives a very special and detailed representation of the kernel of the design model matrix. This representation turns…

Computation · Statistics 2021-06-22 Roberto Fontana , Fabio Rapallo , Henry P. Wynn

We review basic computational techniques for simulations of various magnetic properties of solids. Several applications to compute magnetic anisotropy energy, spin wave spectra, magnetic susceptibilities and temperature dependent…

Strongly Correlated Electrons · Physics 2007-05-23 S. Y. Savrasov , A. Toropova , M. I. Katsnelson , A. I. Lichtenstein , V. Antropov , G. Kotliar

We present a new semi-empirical model for calculating electron transport in atomic-scale devices. The model is an extension of the Extended H\"uckel method with a self-consistent Hartree potential. This potential models the effect of an…

Mesoscale and Nanoscale Physics · Physics 2012-04-04 Kurt Stokbro , Dan Erik Petersen , Søren Smidstrup , Anders Blom , Mads Ipsen , Kristen Kaasbjerg

The illuminating role of differential forms in electromagnetism is seldom discussed in the classroom. It is the aim of this article to bring forth some of the relevant insights that can be learnt from a differential forms approach to E\&M.…

General Relativity and Quantum Cosmology · Physics 2020-11-30 Sébastien Fumeron , Bertrand Berche , Fernando Moraes

A research of inductive conductometric cell is presented. An equivalent circuit and a mathematical model of inductive cell are given in the article. The model takes into account sample-coil capacity (i.e. capacity formed by the coil and the…

Instrumentation and Detectors · Physics 2013-05-01 Yury S. Semenov

Lattice structures have great potential for several application fields ranging from medical and tissue engineering to aeronautical one. Their development is further speeded up by the continuing advances in additive manufacturing…

Soft Condensed Matter · Physics 2025-01-13 Chiara Pasini , Oscar Ramponi , Stefano Pandini , Luciana Sartore , Giulia Scalet

Equations system constructors of hierarchical circuits play a central role in device modeling, nonlinear equations solving, and circuit design automation. However, existing constructors present limitations in applications to different…

This paper presents a generalized energy-based modeling framework extending recent formulations tailored for differential-algebraic equations. The proposed structure, inspired by the port-Hamiltonian formalism, ensures passivity, preserves…

Numerical Analysis · Mathematics 2026-01-06 Robert Altmann , Idoia Cortes Garcia , Elias Paakkunainen , Philipp Schulze , Sebastian Schöps

Computing the electric eddy currents in non-linear materials, such as superconductors, is \E{not straightforward}. The design of superconducting magnets and power applications needs electromagnetic computer modeling, being in many cases a…

Superconductivity · Physics 2017-06-02 Enric Pardo , Milan Kapolka

We suggest electronic circuits with memristors (resistors with memory) that operate as memcapacitors (capacitors with memory) and meminductors (inductors with memory). Using a memristor emulator, the suggested circuits have been built and…

Instrumentation and Detectors · Physics 2014-11-20 Yuriy V. Pershin , Massimiliano Di Ventra

This paper presents a novel design of an electronic circuit that is equivalent to a mechanical discontinuous impact oscillator exhibiting hard impacts. The governing equations of the electronic circuit are derived to demonstrate its…

Adaptation and Self-Organizing Systems · Physics 2025-07-28 Volodymyr Denysenko , Marek Balcerzak , Artur Dabrowski

An electric network whose dynamics is entirely equivalent to the Foucault pendulum is presented. This circuit allows one to measure in a simulation of the circuit, and eventually in a built circuit in the laboratory, the Hannay geometric…

Classical Physics · Physics 2021-11-29 H. Fanchiotti , C. A. Garcia Canal , M. Mayosky , A. Veiga , V. Vento

Quantum physics modeling is technically complex and often non-descriptive. This article presents some approaches how quantum physical ideas can be represented by haptic models. For this purpose, models made from 3D printers, models made…

Physics Education · Physics 2023-12-12 Franziska Greinert , Malte S. Ubben

The increasing difficulty in continued development of digital electronic logic has led to a renewed interest in alternative approaches. Oscillatory computing is one such approach that leverages alternative physical systems and computation…

Dynamical Systems · Mathematics 2024-12-02 Wilkie Olin-Ammentorp

This paper explores learning emulators for parameter estimation with uncertainty estimation of high-dimensional dynamical systems. We assume access to a computationally complex simulator that inputs a candidate parameter and outputs a…

Machine Learning · Computer Science 2022-11-04 Ruoxi Jiang , Rebecca Willett
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