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Convolution: Math, Graphics, and Discrete Signals01:24

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In any LTI (Linear Time-Invariant) system, the convolution of two signals is denoted using a convolution operator, assuming all initial conditions are zero. The convolution integral can be divided into two parts: the zero-input or natural response and the zero-state or forced response, with t0 indicating the initial time.
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Survival models analyze the time until one or more events occur, such as death in biological organisms or failure in mechanical systems. These models are widely used across fields like medicine, biology, engineering, and public health to study time-to-event phenomena. To ensure accurate results, survival analysis relies on key assumptions and careful study design.
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In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
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The important convolution properties include width, area, differentiation, and integration properties.
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Convolution Properties I01:20

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Convolution computations can be simplified by utilizing their inherent properties.
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Survival analysis is a statistical method used to study time-to-event data, where the "event" might represent outcomes like death, disease relapse, system failure, or recovery. A unique feature of survival data is censoring, which occurs when the event of interest has not been observed for some individuals during the study period. This requires specialized techniques to handle incomplete data effectively.
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Explainable survival analysis with uncertainty using convolution-involved vision transformer.

Zhihao Tang1, Li Liu2, Yifan Shen1

  • 1Key Laboratory of Trustworthy Distributed Computing and Service (MoE), Beijing University of Posts and Telecommunications, Beijing, China.

Computerized Medical Imaging and Graphics : the Official Journal of the Computerized Medical Imaging Society
|October 15, 2023
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Summary
This summary is machine-generated.

This study introduces an explainable Vision Transformer model for cancer survival prediction using whole slide images (WSIs). The model processes complete WSIs for improved accuracy and provides explainability, aiding clinical decisions.

Keywords:
ExplainabilityHistopathological imagesSurvival analysisTransformerUncertainty

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Area of Science:

  • Digital pathology
  • Computational oncology
  • Precision medicine

Background:

  • Whole Slide Images (WSIs) are crucial for cancer diagnosis but pose computational challenges due to their large size.
  • Existing models often use subsets of WSIs, potentially losing vital morphological information.
  • Enhancing model explainability is critical for clinical adoption and trust in AI-driven predictions.

Purpose of the Study:

  • To develop an explainable survival prediction model for cancer diagnosis using complete WSIs.
  • To address the computational challenges associated with large-scale WSI processing.
  • To improve the accuracy and interpretability of AI-based survival predictions.

Main Methods:

  • A novel explainable survival prediction model based on Vision Transformer architecture.
  • Utilization of dual-channel convolutional layers to process entire WSIs.
  • Incorporation of aleatoric uncertainty to quantify model limitations.
  • Development of a post-hoc method for identifying salient image features and patches.

Main Results:

  • The proposed model effectively processes complete WSIs, overcoming computational limitations.
  • The model demonstrates improved accuracy in cancer survival prediction compared to existing methods.
  • The explainability feature successfully identifies key image regions and morphological features supporting predictions.
  • Evaluations on two large cancer datasets confirm the model's efficacy and enhanced interpretability.

Conclusions:

  • The developed Vision Transformer model offers a computationally feasible and explainable approach for WSI-based cancer survival prediction.
  • The model's ability to utilize complete WSIs and provide interpretable results enhances its potential for clinical application in precision medicine.
  • Incorporating uncertainty estimation aids in reliable decision-making for cancer diagnosis and treatment planning.