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Related Concept Videos

Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

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Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
277
Reducing Line Loss01:18

Reducing Line Loss

278
In a three-phase circuit, line loss is an indicator of energy dissipated as heat due to the resistance of transmission lines. To address this, incorporating transformers into the system—a step-up transformer at the source and a step-down transformer at the load—is a strategic solution. Two three-phase transformers are introduced to improve this.
With a step-up transformer at the source, the voltage is increased, thereby reducing the current in the transmission lines since power loss in...
278
Line Loss01:10

Line Loss

403
The different configurations of source-load connections include wye (star) and delta connections. The relationship between line and phase voltages and currents varies depending on the configuration. When the source is supplying power, it is transmitted through the wires to the load, and during this transmission, some power is absorbed by the wires, leading to line loss.
Line loss impacts power delivery efficiency in a balanced three-phase circuit. The symmetry in such a circuit simplifies the...
403
Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

327
To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
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Survival Tree01:19

Survival Tree

292
Survival trees are a non-parametric method used in survival analysis to model the relationship between a set of covariates and the time until an event of interest occurs, often referred to as the "time-to-event" or "survival time." This method is particularly useful when dealing with censored data, where the event has not occurred for some individuals by the end of the study period, or when the exact time of the event is unknown.
 Building a Survival Tree
Constructing a...
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Unsoundness of Aggregate due to Volume Change01:26

Unsoundness of Aggregate due to Volume Change

282
Unsoundness in aggregates due to volume changes is primarily caused by the physical alterations aggregates undergo, such as freezing and thawing, thermal changes, and wetting and drying. Unsound aggregates, when subjected to these changes, result in volume change upon disintegration. This, in turn, contributes to the deterioration of concrete, including scaling, pop-outs, and cracking. Particular types of aggregates, such as porous flints, cherts, and those containing clay minerals, are...
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Automated Midline Shift and Intracranial Pressure Estimation based on Brain CT Images
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Boundary loss for highly unbalanced segmentation.

Hoel Kervadec1, Jihene Bouchtiba1, Christian Desrosiers1

  • 1ÉTS Montréal, CRCHUM (University of Montreal Hospital Centre) Canada.

Medical Image Analysis
|October 20, 2020
PubMed
Summary
This summary is machine-generated.

A novel boundary loss function improves deep learning segmentation for highly unbalanced datasets. This new approach focuses on contour interfaces rather than regions, enhancing training stability and performance.

Keywords:
Boundary lossCNNDeep learningSemantic segmentationUnbalanced data

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Area of Science:

  • Computer Vision
  • Medical Image Analysis
  • Machine Learning

Background:

  • Standard loss functions like Dice and cross-entropy in Convolutional Neural Network (CNN) segmentation struggle with highly unbalanced datasets.
  • Regional integrals in these functions lead to performance and stability issues due to orders-of-magnitude differences in class values.

Purpose of the Study:

  • To introduce a novel boundary loss function for CNN segmentation that addresses challenges posed by highly unbalanced data.
  • To improve the training stability and performance of segmentation models on datasets with significant class imbalance.

Main Methods:

  • Proposed a boundary loss function operating on contour spaces, utilizing integrals over region interfaces instead of unbalanced regional integrals.
  • Formulated a non-symmetric L2 distance on contour spaces as a regional integral, inspired by graph-based active contour flow optimization.
  • Integrated the boundary loss with regional softmax probability outputs for easy implementation within existing N-D segmentation architectures.

Main Results:

  • Demonstrated significant performance increases on various unbalanced segmentation problems.
  • Showcased improved training stability compared to traditional regional loss functions.
  • Validated the effectiveness and general applicability across different network architectures and dimensions.

Conclusions:

  • The proposed boundary loss effectively mitigates issues associated with highly unbalanced segmentation problems.
  • This approach offers a complementary strategy to regional losses, enhancing overall segmentation accuracy and robustness.
  • The boundary loss is a versatile tool for improving deep learning-based segmentation tasks, with publicly available code for implementation.