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The discovery of conservation laws is a cornerstone of scientific progress. However, identifying these invariants from observational data remains a significant challenge. We propose a hybrid framework to automate the discovery of conserved…

Machine Learning · Computer Science 2025-11-04 Vivan Doshi

We focus on the analysis of planar shapes and solid objects having thin features and propose a new mathematical model to characterize them. Based on our model, that we call an epsilon-shape, we show how thin parts can be effectively and…

Computational Geometry · Computer Science 2018-01-09 Daniela Cabiddu , Marco Attene

The implementation of strategies for fault detection and diagnosis on rotating electrical machines is crucial for the reliability and safety of modern industrial systems. The contribution of this work is a methodology that combines…

Systems and Control · Electrical Eng. & Systems 2023-06-19 María Barroso , José M. Bossio , Carlos M. Alaíz , Ángela Fernández

This paper is concerned with Eddy-Current (EC) nondestructive testing of conductive materials and focuses, in particular, on extending the well-known LinearSampling Method (LSM) to the case of EC equations. We first present the theoretical…

Numerical Analysis · Mathematics 2021-09-22 H. Haddar , M. K. Riahi

We describe a method for predicting a classification of an object given classifications of the objects in the training set, assuming that the pairs object/classification are generated by an i.i.d. process from a continuous probability…

Machine Learning · Computer Science 2013-02-01 Alex Gammerman , Volodya Vovk , Vladimir Vapnik

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

In this paper we investigate the non-linear and ill-posed inverse problem of simultaneously identifying the conductivity and the reaction in diffuse optical tomography with noisy measurement data available on an accessible part of the…

Numerical Analysis · Mathematics 2020-07-10 Tran Nhan Tam Quyen

We present a method to populate an unknown environment with models of previously seen objects, placed in a Euclidean reference frame that is inferred causally and on-line using monocular video along with inertial sensors. The system we…

Computer Vision and Pattern Recognition · Computer Science 2018-10-25 Xiaohan Fei , Stefano Soatto

Levy processes are widely used in financial mathematics, telecommunication, economics, queueing theory and natural sciences for modelling. A typical model is obtained by considering finite dimensional linear stochastic SISO systems driven…

Statistics Theory · Mathematics 2014-01-07 Laszlo Gerencser , Mate Manfay

Many innovative applications require establishing correspondences among 3D geometric objects. However, the countless possible deformations of smooth surfaces make shape matching a challenging task. Finding an embedding to represent the…

Computer Vision and Pattern Recognition · Computer Science 2022-06-09 Riccardo Marin , Souhaib Attaiki , Simone Melzi , Emanuele Rodolà , Maks Ovsjanikov

The characterisation of small low conducting inclusions in an otherwise uniform background from low-frequency electrical field measurements has important applications in medical imaging using electrical impedance tomography as well as in…

Numerical Analysis · Mathematics 2022-06-24 A. A. S. Amad , P. D. Ledger , T. Betcke , D. Praetorius

We present a novel method for estimating the circulations and positions of point vortices using trajectory data of passive particles in the presence of Gaussian noise. The method comprises two algorithms: the first one calculates the vortex…

Optimization and Control · Mathematics 2023-05-05 Gil Marques , Marco Martins Afonso , Sílvio Gama

A methodology to reduce the computational cost of time domain computations of eddy currents problems is proposed and implemented in a parallel computing environment. It is based on the modal decomposition of the current density and it is…

Computational Engineering, Finance, and Science · Computer Science 2024-07-18 Salvatore Ventre , Andrea Chiariello , Nicola Isernia , Vincenzo Mottola , Antonello Tamburrino

This report extends our recent progress in tackling a challenging 3D inverse scattering problem governed by the Helmholtz equation. Our target application is to reconstruct dielectric constants, electric conductivities and shapes of front…

Material understanding is critical for design, geometric modeling, and analysis of functional objects. We enable material-aware 3D shape analysis by employing a projective convolutional neural network architecture to learn material- aware…

Computer Vision and Pattern Recognition · Computer Science 2018-10-23 Hubert Lin , Melinos Averkiou , Evangelos Kalogerakis , Balazs Kovacs , Siddhant Ranade , Vladimir G. Kim , Siddhartha Chaudhuri , Kavita Bala

This paper analyzes the robustness of recent 3D shape descriptors to SO(3) rotations, something that is fundamental to shape modeling. Specifically, we formulate the task of rotated 3D object instance detection. To do so, we consider a…

Computer Vision and Pattern Recognition · Computer Science 2023-05-31 Supriya Gadi Patil , Angel X. Chang , Manolis Savva

Ordinary differential equations (ODEs) are widely used to model dynamical behavior of systems. It is important to perform identifiability analysis prior to estimating unknown parameters in ODEs (a.k.a. inverse problem), because if a system…

Optimization and Control · Mathematics 2021-03-11 Xing Qiu , Tao Xu , Babak Soltanalizadeh , Hulin Wu

We introduce a causal modeling framework that captures the input-output behavior of predictive models (e.g., machine learning models). The framework enables us to identify features that directly cause the predictions, which has broad…

Machine Learning · Computer Science 2025-05-20 Yizuo Chen , Amit Bhatia

We present a novel algorithm for online, real-time orientation estimation. Our algorithm integrates gyroscope data and corrects the resulting orientation estimate for integration drift using accelerometer and magnetometer data. This…

Signal Processing · Electrical Eng. & Systems 2019-10-02 Manon Kok , Thomas B. Schön

Sets of intelligent classifiers are applied to the near-field scan-data in order to automatically classify the shape of radiating wirings. The support vector machine, k-nearest neighbors algorithm, and Gaussian process classifications are…

Image and Video Processing · Electrical Eng. & Systems 2021-04-20 Amir Geranmayeh