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Update Interp_8_adding_auxillary_variables.ipynb
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KindXiaoming authored Aug 11, 2024
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"id": "f8ba3161",
"metadata": {},
"source": [
"# Interp 8: Adding auxillary variables"
"# Interpretability 8: Adding auxiliary variables"
]
},
{
"cell_type": "markdown",
"id": "6535c1f2",
"metadata": {},
"source": [
"When we do a regression task, it might be good to include auxillary input variables, even though they might be dependent on other variables. For example, to regress $m(m_0, v, c)=m_0/\\sqrt{1-(v/c)^2}$, it is desirable to include the dimensionaless varabile $\\beta = v/c$ as a separate input variable. If we also know this is a task in relativity, we may also include $\\gamma=1/\\sqrt{1-(v/c)^2}$ because $\\gamma$ appears frequently in relativity."
"When we do a regression task, it might be good to include auxiliary input variables, even though they might be dependent on other variables. For example, to regress $m(m_0, v, c)=m_0/\\sqrt{1-(v/c)^2}$, it is desirable to include the dimensionaless varabile $\\beta = v/c$ as a separate input variable. If we also know this is a task in relativity, we may also include $\\gamma=1/\\sqrt{1-(v/c)^2}$ because $\\gamma$ appears frequently in relativity."
]
},
{
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