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A Gran plot is used to predict the equivalence volume or endpoint of a potentiometric or acid-base titration without reaching the endpoint. Typically, titration data is collected as a function of the titrant's volume up to a point less than the equivalence volume and then transformed into a linear format. The straight line is extended to the x-axis, indicating the necessary titrant volume to achieve the equivalence point.
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Swin-PSAxialNet: An Efficient Multi-Organ Segmentation Technique
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Probabilistic Graph Attention Network With Conditional Kernels for Pixel-Wise Prediction.

Dan Xu, Xavier Alameda-Pineda, Wanli Ouyang

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    This study introduces a novel probabilistic graph attention network for structured multi-scale feature learning and fusion. The approach enhances pixel-level prediction accuracy in tasks like depth estimation and semantic segmentation.

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    Area of Science:

    • Computer Vision
    • Machine Learning
    • Deep Learning

    Background:

    • Convolutional Neural Networks (CNNs) excel at pixel-level prediction using multi-scale representations.
    • Existing methods often fuse features through simple averaging or concatenation, limiting performance.
    • A principled approach for structured multi-scale feature learning and fusion is needed.

    Purpose of the Study:

    • To develop a novel approach for structured multi-scale feature learning and fusion.
    • To advance the state-of-the-art in pixel-level prediction tasks.
    • To improve the learning capacity and fusion of multi-scale representations.

    Main Methods:

    • Proposed a probabilistic graph attention network with Attention-Gated Conditional Random Fields (AG-CRFs).
    • Introduced feature-dependent conditional kernels within a deep probabilistic framework.
    • Evaluated on BSDS500, NYUD-V2, KITTI, and Pascal-Context datasets.

    Main Results:

    • Demonstrated the effectiveness of the proposed latent AG-CRF model.
    • Achieved state-of-the-art results in challenging pixel-wise prediction problems.
    • Validated the approach on monocular depth estimation, object contour prediction, and semantic segmentation.

    Conclusions:

    • The proposed probabilistic graph attention network with feature conditional kernels effectively learns and fuses structured multi-scale features.
    • The AG-CRF model offers a principled way to enhance pixel-level prediction.
    • The method shows significant improvements across diverse datasets and tasks.