Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Couples: Scalar and Vector Formulation

Couples: Scalar and Vector Formulation

One might wonder how the captain of a large ship can navigate through the ocean with just a turn of the steering wheel. The answer lies in the concept of two parallel forces that are equal in magnitude and opposite sense, creating a couple moment.
A couple moment is a rotational force that tends to rotate the steering wheel. The wheel's rotation can either be in a clockwise or anticlockwise direction. The right-hand rule is a helpful method for determining the direction of a couple moment....

¹H NMR: Long-Range Coupling

¹H NMR: Long-Range Coupling

The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...

Relating Angular And Linear Quantities - II

Relating Angular And Linear Quantities - II

In the case of circular motion, the linear tangential speed of a particle at a radius from the axis of rotation is related to the angular velocity by the relation:

Per-Unit Sequence Models

Per-Unit Sequence Models

An ideal Y-Y transformer, grounded through neutral impedances, displays per-unit sequence networks akin to those of a single-phase ideal transformer when subjected to balanced positive- or negative-sequence currents. These currents do not produce neutral currents, and their associated voltage drops.
Zero-sequence currents, which are identical in magnitude and phase, generate a neutral current, resulting in voltage drops across the neutral impedance and the low-voltage winding. If the...

Routh-Hurwitz Criterion II

Routh-Hurwitz Criterion II

In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...

Divergence and Curl

Divergence and Curl

The divergence of a vector field at a point is the net outward flow of the flux out of a small volume through a closed surface enclosing the volume, as the volume tends to zero. More practically, divergence measures how much a vector field spreads out or diverges from a given point. For an outgoing flux, conventionally, the divergence is positive. The diverging point is often called the "source" of the field. Meanwhile, the negative divergence of a vector field at a point means that the vector...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Open Straightening and Direct Puncture of the Superficial Temporal Artery for Tumor Embolization via Transosseous Feeders.

Cureus·2026

Same author

A case of left internal carotid artery-posterior communicating artery aneurysm with right aortic arch treated with coil embolization by direct carotid puncture.

Surgical neurology international·2026

Same author

Atlas posterior arch defect with Atlanto-occipital assimilation: Two case reports highlighting fracture mimicry and retro-odontoid pseudotumor.

Surgical neurology international·2026

Same author

Gross-total resection of a large conus-region intradural extramedullary schwannoma with dense adhesion: Operative video and 11-year follow-up.

Surgical neurology international·2026

Same author

Symptomatic retro-odontoid pseudotumor regressing after strict immobilization with a soft cervical collar: A case report.

Surgical neurology international·2026

Same author

Open microsurgery required to address failed endovascular embolization for a spinal dural arteriovenous fistula.

Surgical neurology international·2026

Search research articles

Related Experiment Video

Updated: Jan 2, 2026

Inter-Brain Synchrony in Open-Ended Collaborative Learning: An fNIRS-Hyperscanning Study

Inter-Brain Synchrony in Open-Ended Collaborative Learning: An fNIRS-Hyperscanning Study

Published on: July 21, 2021

Scaled Coupled Norms and Coupled Higher-Order Tensor Completion.

Kishan Wimalawarne¹, Makoto Yamada², Hiroshi Mamitsuka³

¹Bioinformatics Center, Institute for Chemical Research, Kyoto University, Uji, Kyoto 611-0011, Japan kishanwn@gmail.com.

Neural Computation

|December 14, 2019

Summary

This summary is machine-generated.

New coupled norms improve tensor completion by controlling regularization for coupled and uncoupled modes. These enhanced norms offer lower risk bounds for higher-order tensors, validated by simulations and real-world data.

More Related Videos

Perceptual and Category Processing of the Uncanny Valley Hypothesis' Dimension of Human Likeness: Some Methodological Issues

Perceptual and Category Processing of the Uncanny Valley Hypothesis' Dimension of Human Likeness: Some Methodological Issues

Published on: June 3, 2013

Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis

Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis

Published on: October 6, 2023

Related Experiment Videos

Last Updated: Jan 2, 2026

Inter-Brain Synchrony in Open-Ended Collaborative Learning: An fNIRS-Hyperscanning Study

Inter-Brain Synchrony in Open-Ended Collaborative Learning: An fNIRS-Hyperscanning Study

Published on: July 21, 2021

Perceptual and Category Processing of the Uncanny Valley Hypothesis' Dimension of Human Likeness: Some Methodological Issues

Perceptual and Category Processing of the Uncanny Valley Hypothesis' Dimension of Human Likeness: Some Methodological Issues

Published on: June 3, 2013

Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis

Author Spotlight: Unlocking New Insights in fNIRS Studies - A Novel Framework for Inter-Brain Synchrony Analysis

Published on: October 6, 2023

Area of Science:

Data Science
Numerical Analysis
Machine Learning

Background:

Coupled norms offer convex solutions for coupled tensor completion by integrating low-rank tensor norms and matrix trace norms.
Existing coupled norms face limitations in controlling regularization for coupled/uncoupled modes and are suboptimal for higher-order tensor couplings.

Discussion:

This work introduces a novel method to scale regularization between coupled and uncoupled components, ensuring proper low-rank induction on coupled modes.
The study also proposes enhanced coupled norms for higher-order tensors by incorporating the square norm, addressing limitations of previous approaches.

Key Insights:

The proposed methods achieve lower excess risk bounds compared to existing coupled norms, as proven by theoretical analysis.
Experimental results from simulations and real-world data demonstrate the robustness and effectiveness of the developed techniques.

Outlook:

Future research could explore adaptive regularization strategies for dynamic tensor completion tasks.
Investigating the application of these enhanced coupled norms in specific domains like recommender systems or signal processing is warranted.