Add base parameter class #10513

Job	Run time
style	22s
Doctests (ubuntu-latest / Python 3.11)	3m 26s
Tests (ubuntu-latest / Python 3.9)	27m 25s
Example scripts (ubuntu-latest / Python 3.12)	11m 57s
Tests (ubuntu-latest / Python 3.10)	27m 14s
Example notebooks (ubuntu-latest / Python 3.12)	17m 47s
Tests (ubuntu-latest / Python 3.11)	24m 21s
Tests (ubuntu-latest / Python 3.12)	31m 58s
Tests (macos-12 / Python 3.9)	26m 35s
Tests (macos-12 / Python 3.10)	16m 35s
Tests (macos-12 / Python 3.11)	22m 44s
Tests (macos-12 / Python 3.12)	20m 29s
Tests (macos-14 / Python 3.9)	12m 3s
Tests (macos-14 / Python 3.10)	9m 44s
Tests (macos-14 / Python 3.11)	15m 36s
Tests (macos-14 / Python 3.12)	9m 26s
Tests (windows-latest / Python 3.9)	31m 22s
Tests (windows-latest / Python 3.10)	31m 17s
Tests (windows-latest / Python 3.11)	28m 54s
Tests (windows-latest / Python 3.12)	26m 10s
	6h 35m 25s

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