Concept
Metric tensor
Related publications (55)
Spatiotemporal energy-density distribution of time-reversed electromagnetic fields
Marcos Rubinstein, Farhad Rachidi-Haeri, Hamidreza Karami, Elias Per Joachim Le Boudec, Nicolas Mora Parra
Time reversal exploits the invariance of electromagnetic wave propagation in reciprocal and lossless media to localise radiating sources. Time-reversed measurements are back-propagated in a simulated domain and converge to the unknown source location. The ...
2023RMAML: Riemannian meta-learning with orthogonality constraints
Meta-learning is the core capability that enables intelligent systems to rapidly generalize their prior ex-perience to learn new tasks. In general, the optimization-based methods formalize the meta-learning as a bi-level optimization problem, that is a nes ...
ELSEVIER SCI LTD2023A Gapless Post-quantum Hash Proof System in the Hamming Metric
Serge Vaudenay, Bénédikt Minh Dang Tran
A hash proof system (HPS) is a form of implicit proof of membership to a language. Out of the very few existing post-quantum HPS, most are based on languages of ciphertexts of code-based or lattice-based cryptosystems and inherently suffer from a gap cause ...
2023Learning Dynamics of Spring-Mass Models with Physics-Informed Graph Neural Networks
Olga Fink, Vinay Sharma, Manav Manav
We propose a physics-informed message-passing graph neural network (GNN) for learning the dynamics of springmass systems. The proposed method embeds the underlying physics directly into the message-passing scheme of the GNN. We compare the new scheme with ...
Research Publishing2023Learning a QoE Metric from Social Media and Gaming Footage
Catalina Paz Alvarez Inostroza
Defining a universal metric for Quality of Experience (QoE) is notoriously hard due to the complex relationship between low-level performance metrics and user satisfaction. The most common metric, the Mean Opinion Score (MOS), has well-known biases and inc ...
2023A new method for lattice reduction using directional and hyperplanar shearing
A geometric method of lattice reduction based on cycles of directional and hyperplanar shears is presented. The deviation from cubicity at each step of the reduction is evaluated by a parameter called 'basis rhombicity' which is the sum of the absolute val ...
INT UNION CRYSTALLOGRAPHY2022Coupling metric-affine gravity to a Higgs-like scalar field
General relativity (GR) exists in different formulations. They are equivalent in pure gravity but generically lead to distinct predictions once matter is included. After a brief overview of various versions of GR, we focus on metric-affine gravity, which a ...
AMER PHYSICAL SOC2022Learning to Represent and Reconstruct 3D Deformable Objects
Representing and reconstructing 3D deformable shapes are two tightly linked problems that have long been studied within the computer vision field. Deformable shapes are truly ubiquitous in the real world, whether be it specific object classes such as human ...
EPFL2022Fast and accurate decoding of finger movements from ECoG through Riemannian features and modern machine learning techniques
Objective. Accurate decoding of individual finger movements is crucial for advanced prosthetic control. In this work, we introduce the use of Riemannian-space features and temporal dynamics of electrocorticography (ECoG) signal combined with modern machine ...
IOP Publishing Ltd2022On Linear Interpolation in the Latent Space of Deep Generative Models
Quentin Christian Becker, Mike Yan Michelis
The underlying geometrical structure of the latent space in deep generative models is in most cases not Euclidean, which may lead to biases when comparing interpolation capabilities of two models. Smoothness and plausibility of linear interpolations in lat ...
2021