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Quant Python

Regression by Gradient Descent

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"xxxxxxxx x xxxxxx xxxxxxxxxx xxxxxxxxxxx" xx x xxxxxxxx xxxxxxxxx xxxxx xx xxxxxxxxxx xxxxx, xxx xx xx xxxxx xxxxxxxxx xxxxxxx xxxxxxxx xxxxx xxx xxxxxx xxxx: xxx xxxxx xx xxxxxxx xxx xxxxxxxxxx xxx xxxxxxxxx xxxxxxxxx xxxx xxxxx xxxx xxxx xxx xxxxxx xxxx xxxxx xxxxxxx, xxxxx xx xxx xxxx xxxxxxxxx xxxxx xxxxx xxxxx xxxx xxx xx xxxxxx xxxx xx xxx.

xxxxxxxxx xx_xxxxxxxxxx(x, x, xx, xxxxx).

  • x: x xxxx xx xxxxxxx xxxx (xx x xxxx xxxx xxx xxx xxxxxxx), xxxxxxx xx xxxxxxxxx xxxxxx.
  • x: x xxxx xx xxxxxx xxxxxx.
  • xx: xxx xxxxxxxx xxxx.
  • xxxxx: xxx xxxxxx xx xxxx-xxxxx xxxxxxxx xxxxx xx xxxx.

xxx xxxxxx xxxxxxxxxx xxxx xx xxxxxxxxx xx xxxxxxxxxx xxxx xxxxxxx xxxxx xxxx xxxx-xxxxx xxxxxxxx xxxxxxx, xxx xxxxxx xxx xxxxxxxxx xxxxxx xxxxx xxxxxxx xxxxx xxxxx xx x xxxx xx xxxxxx xxxxxxx xx x xxxxxxxx, xxxxxxxxx xxxxx.

xx xxxx xxxxx xxxxxxxxxx xxxxx xxx xxxx xxxx, xxx xxxxxxxxx xx xxxxxx: xxxxx xxx xxxxxx xxxxxx ( x ) xxxx x xxxxxxx xxxxxx xx xxxx, xxxxx xxxx xxx-xxxx xxxxxxxxxx, xxx xxxxxx xxxx

[ x xxxxxxxxx x - xxx xxxx xxxx{x}{x} x^{xxx}(xx - x) ]

xxxxx ( x ) xx xxx xxxxxx xx xxxx. xxxx xx xxx xxxxx xxxxxxxx xx ( xxxx{x}{x}xxxxx xx - x xxxxx^x ).

xxxxxxxx

xx_xxxxxxxxxx([[x], [x], [x], [x]], [x, x, x, x], x.xx, xxxx)
# [x.x, x.x]

xx_xxxxxxxxxx([[x], [x]], [x, x], x.x, x)
# [x.x, x.x]

xxx xxxxxx xxxxxxx xxxxx x xxxxxx xxxx xxxx xxxx, xxxxx xxxx xxx xxxxxxxx xxxxxxxxxx: xxxxx xx xx xxxx xxxxxx xxxxxxx xxxxxxxx.

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Language: Python 3.12gd_regression

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