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11 months ago

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SSD-1B

Guidance Scale

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1248 × 832

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$SNIFFIN’ GLUE magazine high res photo cover by Mandelbrot: special fractal square; guest star : imaginary squared recurrence$

Local and global approaches in mathematics and machine learning are both universal approximators, but they differ in the number of parameters required to represent a given function accurately. The entire system, including data, architecture, and loss function, must be considered, as they are interconnected. Data can be noisy or biased, architecture may demand excessive parameters, and the chosen loss function may not align with the desired goal. To address these challenges, practitioners should

Two shapes: Ah, the shift in distribution within measure theory, a wondrous transformation indeed! It expands our understanding beyond traditional functions, embracing generalized forms. Test functions play a vital role, enabling distributions to transcend pointwise limitations.

$Quaternion and Hypercomplex Fractals Description: Generalization of Mandelbrot and Julia fractals using quaternion (4D) or hypercomplex numbers, then projected into 3D. Characteristics: More exotic and less intuitive shapes, often with “holes” or ribbon-like structures. [in fractales IFS with Apophysis refined in Mandelbulb 3D]$

[high res macro photo with bokeh by Ole Bielfeldt] macro photo of an alien material: sulfurite and cyanic organic matter

$SNIFFIN’ GLUE magazine high res photo cover by Mandelbrot: special fractal square; guest star : imaginary squared$

Spurious correlations can occur in machine learning when the data collection process is influenced by uncontrolled confounding biases. These biases introduce unintended relationships into the data, which can hinder the accuracy and generalization of learned models. To overcome this issue, a proposed approach involves learning representations that are invariant to causal factors across multiple datasets with different biases. By focusing on the underlying causal mechanisms rather than superficial

$This spiral fractal image consists of thousands of translucent beads, bubbles, baubles, or gems. When viewing this image I can't help but feel uplifted in spirit. © Vic Eberly Created using Ultra Fractal$

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