Latest posts

  • A Kalman Update From GPS And Motion

    A Kalman Update From GPS And Motion

    An IMU can carry a position estimate between GPS fixes, but its errors accumulate. A one-dimensional worked example shows how a Kalman update combines an uncertain prediction with a noisier-or-better measurement, and where the assumptions enter.

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  • What Cross-Entropy Teaches a Classifier

    What Cross-Entropy Teaches a Classifier

    A classifier’s raw scores are not probabilities, and cross-entropy does more than reward the right answer. A small three-class example shows how logits become a loss and what its gradient asks the model to change.

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  • From Camera Pixels to a 3D Ray

    From Camera Pixels to a 3D Ray

    A pixel coordinate is not a direction until you account for focal length, the principal point, and the camera’s coordinate frame. Work through the conversion, then see where lens distortion changes the result.

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