docs/build/doctrees/python/_autosummary/mlx.optimizers.SGD.doctree

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attributes<EFBFBD>}<7D>(<28>ids<64>]<5D><>classes<65>]<5D><>names<65>]<5D><>dupnames<65>]<5D><>backrefs<66>]<5D>u<EFBFBD>tagname<6D>hhhhhh<1D>O/Users/awnihannun/repos/mlx/docs/src/python/_autosummary/mlx.optimizers.SGD.rst<73>hKubh<00>index<65><78><EFBFBD>)<29><>}<7D>(hhh]<5D>h}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>entries<65>]<5D>(<28>single<6C><65>SGD (class in mlx.optimizers)<29><>mlx.optimizers.SGD<47>hNt<4E>auh+h-hhhhhNhNubh<00>desc<73><63><EFBFBD>)<29><>}<7D>(hhh]<5D>(h<00>desc_signature<72><65><EFBFBD>)<29><>}<7D>(h<05>{SGD(learning_rate: float, momentum: float = 0.0, weight_decay: float = 0.0, dampening: float = 0.0, nesterov: bool = False)<29>h]<5D>(h<00>desc_annotation<6F><6E><EFBFBD>)<29><>}<7D>(h<05>2[<#text: 'class'>, <desc_sig_space: <#text: ' '>>]<5D>h]<5D>(h<16>class<73><73><EFBFBD><EFBFBD><EFBFBD>}<7D>(hhKhhhNhNubh<00>desc_sig_space<63><65><EFBFBD>)<29><>}<7D>(h<05> <20>h]<5D>h<16> <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hhUhhhNhNubah}<7D>(h!]<5D>h#]<5D><>w<>ah%]<5D>h']<5D>h)]<5D>uh+hShhKubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	xml:space<63><65>preserve<76>uh+hIhhEhhh<1D>T/Users/awnihannun/repos/mlx/python/mlx/optimizers.py:docstring of mlx.optimizers.SGD<47>hNubh<00>desc_addname<6D><65><EFBFBD>)<29><>}<7D>(h<05>mlx.optimizers.<2E>h]<5D>h<16>mlx.optimizers.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hhohhhNhNubah}<7D>(h!]<5D>h#]<5D>(<28>sig-prename<6D><65>
descclassname<6D>eh%]<5D>h']<5D>h)]<5D>hjhkuh+hmhhEhhhhlhNubh<00>	desc_name<6D><65><EFBFBD>)<29><>}<7D>(h<05>SGD<47>h]<5D>h<16>SGD<47><44><EFBFBD><EFBFBD><EFBFBD>}<7D>(hh<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>(<28>sig-name<6D><65>descname<6D>eh%]<5D>h']<5D>h)]<5D>hjhkuh+hhhEhhhhlhNubh<00>desc_parameterlist<73><74><EFBFBD>)<29><>}<7D>(h<05>vlearning_rate: float, momentum: float = 0.0, weight_decay: float = 0.0, dampening: float = 0.0, nesterov: bool = False<73>h]<5D>(h<00>desc_parameter<65><72><EFBFBD>)<29><>}<7D>(h<05>learning_rate: floatfloat<61>h]<5D>(h<00>
desc_sig_name<6D><65><EFBFBD>)<29><>}<7D>(h<05>
learning_rate<74>h]<5D>h<16>
learning_rate<74><65><EFBFBD><EFBFBD><EFBFBD>}<7D>(hh<>hhhNhNubah}<7D>(h!]<5D>h#]<5D><>n<>ah%]<5D>h']<5D>h)]<5D>uh+h<>hh<>ubh<00>desc_sig_punctuation<6F><6E><EFBFBD>)<29><>}<7D>(h<05>:<3A>h]<5D>h<16>:<3A><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hh<>hhhNhNubah}<7D>(h!]<5D>h#]<5D><>p<>ah%]<5D>h']<5D>h)]<5D>uh+h<>hh<>ubhT)<29><>}<7D>(h<05> <20>h]<5D>h<16> <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hh<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h`ah%]<5D>h']<5D>h)]<5D>uh+hShh<>ubh<62>)<29><>}<7D>(h<05>
floatfloat<EFBFBD>h]<5D>h<00>pending_xref<65><66><EFBFBD>)<29><>}<7D>(hhh]<5D>(h<00>pending_xref_condition<6F><6E><EFBFBD>)<29><>}<7D>(h<05>float<61>h]<5D>h<16>float<61><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(hh<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F><6E>resolved<65>uh+h<>hh<>ubh<62>)<29><>}<7D>(h<05>float<61>h]<5D>h<16>float<61><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(hh<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F><6E>*<2A>uh+h<>hh<>ubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	refdomain<69><6E>py<70><79>reftype<70><65>class<73><73>	reftarget<65><74>float<61><74>refspecific<69><63><EFBFBD>	py:module<6C><65>mlx.optimizers<72><73>py:class<73>Nuh+h<>hh<>ubah}<7D>(h!]<5D>h#]<5D>h<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+h<>hh<>ubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>hjhkuh+h<>hh<>ubh<62>)<29><>}<7D>(h<05>momentum: floatfloat = 0.0<EFBFBD>h]<5D>(h<>)<29><>}<7D>(h<05>momentum<75>h]<5D>h<16>momentum<75><6D><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjhhhNhNubah}<7D>(h!]<5D>h#]<5D>h<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+h<>hjubh<62>)<29><>}<7D>(h<05>:<3A>h]<5D>h<16>:<3A><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj&hhhNhNubah}<7D>(h!]<5D>h#]<5D>h<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+h<>hjubhT)<29><>}<7D>(h<05> <20>h]<5D>h<16> <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj4hhhNhNubah}<7D>(h!]<5D>h#]<5D>h`ah%]<5D>h']<5D>h)]<5D>uh+hShjubh<62>)<29><>}<7D>(h<05>
floatfloat<EFBFBD>h]<5D>h<EFBFBD>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(h<05>float<61>h]<5D>h<16>float<61><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjIhhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hjFubh<62>)<29><>}<7D>(h<05>float<61>h]<5D>h<16>float<61><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjXhhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hjFubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	refdomain<69>h<EFBFBD><68>reftype<70>j<00>	reftarget<65><74>float<61><74>refspecific<69><63><EFBFBD>	py:module<6C>j<00>py:class<73>Nuh+h<>hjBubah}<7D>(h!]<5D>h#]<5D>h<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+h<>hjubhT)<29><>}<7D>(h<05> <20>h]<5D>h<16> <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjzhhhNhNubah}<7D>(h!]<5D>h#]<5D>h`ah%]<5D>h']<5D>h)]<5D>uh+hShjubh<00>desc_sig_operator<6F><72><EFBFBD>)<29><>}<7D>(h<05>=<3D>h]<5D>h<16>=<3D><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D><>o<>ah%]<5D>h']<5D>h)]<5D>uh+j<>hjubhT)<29><>}<7D>(h<05> <20>h]<5D>h<16> <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h`ah%]<5D>h']<5D>h)]<5D>uh+hShjubh	<09>inline<6E><65><EFBFBD>)<29><>}<7D>(h<05>0.0<EFBFBD>h]<5D>h<16>0.0<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D><>
default_value<75>ah%]<5D>h']<5D>h)]<5D><>support_smartquotes<65><73>uh+j<>hjubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>hjhkuh+h<>hh<>ubh<62>)<29><>}<7D>(h<05>weight_decay: floatfloat = 0.0<EFBFBD>h]<5D>(h<>)<29><>}<7D>(h<05>weight_decay<61>h]<5D>h<16>weight_decay<61><79><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+h<>hj<>ubh<62>)<29><>}<7D>(h<05>:<3A>h]<5D>h<16>:<3A><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+h<>hj<>ubhT)<29><>}<7D>(h<05> <20>h]<5D>h<16> <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h`ah%]<5D>h']<5D>h)]<5D>uh+hShj<>ubh<62>)<29><>}<7D>(h<05>
floatfloat<EFBFBD>h]<5D>h<EFBFBD>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(h<05>float<61>h]<5D>h<16>float<61><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hj<>ubh<62>)<29><>}<7D>(h<05>float<61>h]<5D>h<16>float<61><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjhhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hj<>ubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	refdomain<69>h<EFBFBD><68>reftype<70>j<00>	reftarget<65><74>float<61><74>refspecific<69><63><EFBFBD>	py:module<6C>j<00>py:class<73>Nuh+h<>hj<>ubah}<7D>(h!]<5D>h#]<5D>h<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+h<>hj<>ubhT)<29><>}<7D>(h<05> <20>h]<5D>h<16> <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj%hhhNhNubah}<7D>(h!]<5D>h#]<5D>h`ah%]<5D>h']<5D>h)]<5D>uh+hShj<>ubj<62>)<29><>}<7D>(h<05>=<3D>h]<5D>h<16>=<3D><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj3hhhNhNubah}<7D>(h!]<5D>h#]<5D>j<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+j<>hj<>ubhT)<29><>}<7D>(h<05> <20>h]<5D>h<16> <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjAhhhNhNubah}<7D>(h!]<5D>h#]<5D>h`ah%]<5D>h']<5D>h)]<5D>uh+hShj<>ubj<62>)<29><>}<7D>(h<05>0.0<EFBFBD>h]<5D>h<16>0.0<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjOhhhNhNubah}<7D>(h!]<5D>h#]<5D>j<EFBFBD>ah%]<5D>h']<5D>h)]<5D><>support_smartquotes<65><73>uh+j<>hj<>ubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>hjhkuh+h<>hh<>ubh<62>)<29><>}<7D>(h<05>dampening: floatfloat = 0.0<EFBFBD>h]<5D>(h<>)<29><>}<7D>(h<05>	dampening<6E>h]<5D>h<16>	dampening<6E><67><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjhhhhNhNubah}<7D>(h!]<5D>h#]<5D>h<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+h<>hjdubh<62>)<29><>}<7D>(h<05>:<3A>h]<5D>h<16>:<3A><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjvhhhNhNubah}<7D>(h!]<5D>h#]<5D>h<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+h<>hjdubhT)<29><>}<7D>(h<05> <20>h]<5D>h<16> <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h`ah%]<5D>h']<5D>h)]<5D>uh+hShjdubh<62>)<29><>}<7D>(h<05>
floatfloat<EFBFBD>h]<5D>h<EFBFBD>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(h<05>float<61>h]<5D>h<16>float<61><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hj<>ubh<62>)<29><>}<7D>(h<05>float<61>h]<5D>h<16>float<61><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hj<>ubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	refdomain<69>h<EFBFBD><68>reftype<70>j<00>	reftarget<65><74>float<61><74>refspecific<69><63><EFBFBD>	py:module<6C>j<00>py:class<73>Nuh+h<>hj<>ubah}<7D>(h!]<5D>h#]<5D>h<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+h<>hjdubhT)<29><>}<7D>(h<05> <20>h]<5D>h<16> <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h`ah%]<5D>h']<5D>h)]<5D>uh+hShjdubj<62>)<29><>}<7D>(h<05>=<3D>h]<5D>h<16>=<3D><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>j<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+j<>hjdubhT)<29><>}<7D>(h<05> <20>h]<5D>h<16> <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h`ah%]<5D>h']<5D>h)]<5D>uh+hShjdubj<62>)<29><>}<7D>(h<05>0.0<EFBFBD>h]<5D>h<16>0.0<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>j<EFBFBD>ah%]<5D>h']<5D>h)]<5D><>support_smartquotes<65><73>uh+j<>hjdubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>hjhkuh+h<>hh<>ubh<62>)<29><>}<7D>(h<05>nesterov: boolbool = False<73>h]<5D>(h<>)<29><>}<7D>(h<05>nesterov<6F>h]<5D>h<16>nesterov<6F><76><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj
hhhNhNubah}<7D>(h!]<5D>h#]<5D>h<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+h<>hj	ubh<62>)<29><>}<7D>(h<05>:<3A>h]<5D>h<16>:<3A><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjhhhNhNubah}<7D>(h!]<5D>h#]<5D>h<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+h<>hj	ubhT)<29><>}<7D>(h<05> <20>h]<5D>h<16> <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj)hhhNhNubah}<7D>(h!]<5D>h#]<5D>h`ah%]<5D>h']<5D>h)]<5D>uh+hShj	ubh<62>)<29><>}<7D>(h<05>boolbool<6F>h]<5D>h<EFBFBD>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(h<05>bool<6F>h]<5D>h<16>bool<6F><6C><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hj;ubh<62>)<29><>}<7D>(h<05>bool<6F>h]<5D>h<16>bool<6F><6C><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjMhhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hj;ubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	refdomain<69>h<EFBFBD><68>reftype<70>j<00>	reftarget<65><74>bool<6F><6C>refspecific<69><63><EFBFBD>	py:module<6C>j<00>py:class<73>Nuh+h<>hj7ubah}<7D>(h!]<5D>h#]<5D>h<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+h<>hj	ubhT)<29><>}<7D>(h<05> <20>h]<5D>h<16> <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjohhhNhNubah}<7D>(h!]<5D>h#]<5D>h`ah%]<5D>h']<5D>h)]<5D>uh+hShj	ubj<62>)<29><>}<7D>(h<05>=<3D>h]<5D>h<16>=<3D><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj}hhhNhNubah}<7D>(h!]<5D>h#]<5D>j<EFBFBD>ah%]<5D>h']<5D>h)]<5D>uh+j<>hj	ubhT)<29><>}<7D>(h<05> <20>h]<5D>h<16> <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h`ah%]<5D>h']<5D>h)]<5D>uh+hShj	ubj<62>)<29><>}<7D>(h<05>False<73>h]<5D>h<16>False<73><65><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>j<EFBFBD>ah%]<5D>h']<5D>h)]<5D><>support_smartquotes<65><73>uh+j<>hj	ubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>hjhkuh+h<>hh<>ubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>hjhkuh+h<>hhEhhhhlhNubeh}<7D>(h!]<5D>h<ah#]<5D>(<28>sig<69><67>
sig-object<63>eh%]<5D>h']<5D>h)]<5D><>module<6C><65>mlx.optimizers<72>jh<06>fullname<6D>h<EFBFBD>uh+hChhlhKhh@hhubh<00>desc_content<6E><74><EFBFBD>)<29><>}<7D>(hhh]<5D>(h	<09>	paragraph<70><68><EFBFBD>)<29><>}<7D>(h<05>&Stochastic gradient descent optimizer.<2E>h]<5D>h<16>&Stochastic gradient descent optimizer.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>h<1D>T/Users/awnihannun/repos/mlx/python/mlx/optimizers.py:docstring of mlx.optimizers.SGD<47>hKhj<>hhubj<62>)<29><>}<7D>(h<05>BUpdates a parameter :math:`w` with a gradient :math:`g` as follows<77>h]<5D>(h<16>Updates a parameter <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubh	<09>math<74><68><EFBFBD>)<29><>}<7D>(h<05>	:math:`w`<60>h]<5D>h<16>w<><77><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hj<>ubh<16> with a gradient <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubj<62>)<29><>}<7D>(h<05>	:math:`g`<60>h]<5D>h<16>g<><67><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hj<>ubh<16> as follows<77><73><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hj<>hKhj<>hhubh	<09>
math_block<EFBFBD><EFBFBD><EFBFBD>)<29><>}<7D>(h<05>Gv_{t+1} &= \mu v_t + (1 - \tau) g_t \\
w_{t+1} &= w_t - \lambda v_{t+1}<7D>h]<5D>h<16>Gv_{t+1} &= \mu v_t + (1 - \tau) g_t \\
w_{t+1} &= w_t - \lambda v_{t+1}<7D><><EFBFBD><EFBFBD><EFBFBD>}<7D>hjsbah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>docname<6D><65>&python/_autosummary/mlx.optimizers.SGD<47><44>number<65>N<EFBFBD>label<65>N<EFBFBD>nowrap<61><70>hjhkuh+j	hj<>hKhj<>hhubh	<09>
field_list<EFBFBD><EFBFBD><EFBFBD>)<29><>}<7D>(hhh]<5D>h	<09>field<6C><64><EFBFBD>)<29><>}<7D>(hhh]<5D>(h	<09>
field_name<EFBFBD><EFBFBD><EFBFBD>)<29><>}<7D>(h<05>
Parameters<EFBFBD>h]<5D>h<16>
Parameters<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj*hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j(hj%hhlhKubh	<09>
field_body<EFBFBD><EFBFBD><EFBFBD>)<29><>}<7D>(hhh]<5D>h	<09>bullet_list<73><74><EFBFBD>)<29><>}<7D>(hhh]<5D>(h	<09>	list_item<65><6D><EFBFBD>)<29><>}<7D>(hhh]<5D>j<EFBFBD>)<29><>}<7D>(h<05>8learning_rate (floatfloat) -- The learning rate \lambda.<2E>h]<5D>(h<00>literal_strong<6E><67><EFBFBD>)<29><>}<7D>(h<05>
learning_rate<74>h]<5D>h<16>
learning_rate<74><65><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjMhhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+jKhjGubh<16> (<28><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjGhhhNhNubh<62>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(h<05>float<61>h]<5D>h<00>literal_emphasis<69><73><EFBFBD>)<29><>}<7D>(h<05>float<61>h]<5D>h<16>float<61><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjhhhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+jfhjbubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hj_ubh<62>)<29><>}<7D>(h<05>float<61>h]<5D>jg)<29><>}<7D>(h<05>float<61>h]<5D>h<16>float<61><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+jfhj}ubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hj_ubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	refdomain<69><6E>py<70><79>refexplicit<69><74><EFBFBD>reftype<70>j<00>	reftarget<65>j<EFBFBD><00>refspecific<69><63><EFBFBD>	py:module<6C>j<EFBFBD><00>py:class<73>h<EFBFBD>uh+h<>hjGubh<16>)<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjGhhhNhNubh<16> – <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjGhhhNhNubh<16>The learning rate <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjGhhhNhNubj<62>)<29><>}<7D>(h<05>:math:`\lambda`<60>h]<5D>h<16>\lambda<64><61><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hjGhhhNhNubh<16>.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjGhhhNhNubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hjDubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+jBhj?ubjC)<29><>}<7D>(hhh]<5D>j<EFBFBD>)<29><>}<7D>(h<05>Pmomentum (floatfloat, optionaloptional) -- The momentum strength \mu. Default: 0<>h]<5D>(jL)<29><>}<7D>(h<05>momentum<75>h]<5D>h<16>momentum<75><6D><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+jKhj<>ubh<16> (<28><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubh<62>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(h<05>float<61>h]<5D>jg)<29><>}<7D>(h<05>float<61>h]<5D>h<16>float<61><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+jfhj<>ubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hj<>ubh<62>)<29><>}<7D>(h<05>float<61>h]<5D>jg)<29><>}<7D>(h<05>float<61>h]<5D>h<16>float<61><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjhhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+jfhjubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hj<>ubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	refdomain<69>j<EFBFBD><00>refexplicit<69><74><EFBFBD>reftype<70>j<00>	reftarget<65>j	j<><00>j<EFBFBD>j<>j<>h<>uh+h<>hj<>ubjg)<29><>}<7D>(h<05>, <20>h]<5D>h<16>, <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj&hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+jfhj<>ubh<62>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(h<05>optional<61>h]<5D>jg)<29><>}<7D>(h<05>optional<61>h]<5D>h<16>optional<61><6C><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj;hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+jfhj7ubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hj4ubh<62>)<29><>}<7D>(h<05>optional<61>h]<5D>jg)<29><>}<7D>(h<05>optional<61>h]<5D>h<16>optional<61><6C><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjThhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+jfhjPubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hj4ubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	refdomain<69>j<EFBFBD><00>refexplicit<69><74><EFBFBD>reftype<70>j<00>	reftarget<65>jVj<><00>j<EFBFBD>j<>j<>h<>uh+h<>hj<>ubh<16>)<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubh<16> – <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubh<16>The momentum strength <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubj<62>)<29><>}<7D>(h<05>:math:`\mu`<60>h]<5D>h<16>\mu<6D><75><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjhhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hj<>hhhNhNubh<16>. Default: <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubh	<09>literal<61><6C><EFBFBD>)<29><>}<7D>(h<05>``0``<60>h]<5D>h<16>0<><30><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hj<>hhhNhNubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hj<>ubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+jBhj?ubjC)<29><>}<7D>(hhh]<5D>j<EFBFBD>)<29><>}<7D>(h<05>Xweight_decay (floatfloat, optionaloptional) -- The weight decay (L2 penalty). Default: 0<>h]<5D>(jL)<29><>}<7D>(h<05>weight_decay<61>h]<5D>h<16>weight_decay<61><79><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+jKhj<>ubh<16> (<28><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubh<62>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(h<05>float<61>h]<5D>jg)<29><>}<7D>(h<05>float<61>h]<5D>h<16>float<61><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+jfhj<>ubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hj<>ubh<62>)<29><>}<7D>(h<05>float<61>h]<5D>jg)<29><>}<7D>(h<05>float<61>h]<5D>h<16>float<61><74><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+jfhj<>ubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	condition<6F>h<EFBFBD>uh+h<>hj<>ubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>	refdomain<69>j<EFBFBD><00>refexplicit<69><74><EFBFBD>reftype<70>j<00>	reftarget<65>j<EFBFBD>j<><00>j<EFBFBD>j<>j<>h<>uh+h<>hj<>ubjg)<29><>}<7D>(h<05>, <20>h]<5D>h<16>, <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjhhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+jfhj<>ubh<62>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(h<05>optional<61>h]<5D>jg)<29><>}<7D>(h<05>optional<61>h]<5D>h<16>optional<61><6C><EFBFBD><EFBFBD><EFBFBD>}<7D>(hjhh


__init__(learning_rate[, momentum, ...])


apply_single(gradient, parameter, state)

Performs the SGD parameter update and stores v in the optimizer state.<2E>h]<5D>h	<09>table<6C><65><EFBFBD>)<29><>}<7D>(hhh]<5D>h	<09>tgroup<75><70><EFBFBD>)<29><>}<7D>(hhh]<5D>(h	<09>colspec<65><63><EFBFBD>)<29><>}<7D>(hhh]<5D>h}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>colwidth<74>K
uh+jghjdubjh)<29><>}<7D>(hhh]<5D>h}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>colwidth<74>KZuh+jghjdubh	<09>tbody<64><79><EFBFBD>)<29><>}<7D>(hhh]<5D>(h	<09>row<6F><77><EFBFBD>)<29><>}<7D>(hhh]<5D>(h	<09>entry<72><79><EFBFBD>)<29><>}<7D>(hhh]<5D>j<EFBFBD>)<29><>}<7D>(h<05>Y:py:obj:`__init__ <mlx.optimizers.SGD.__init__>`\ \(learning\_rate\[\, momentum\, ...\]\)<29>h]<5D>(h<>)<29><>}<7D>(h<05>0:py:obj:`__init__ <mlx.optimizers.SGD.__init__>`<60>h]<5D>j<EFBFBD>)<29><>}<7D>(hj<>h]<5D>h<16>__init__<5F><5F><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>(<28>xref<65><66>py<70><79>py-obj<62>eh%]<5D>h']<5D>h)]<5D>uh+j<>hj<>ubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>refdoc<6F>j<00>	refdomain<69>j<EFBFBD><00>reftype<70><65>obj<62><6A>refexplicit<69><74><EFBFBD>refwarn<72><6E>j<EFBFBD>j<>j<>h<><68>	reftarget<65><74>mlx.optimizers.SGD.__init__<5F>uh+h<>h<1D>`/Users/awnihannun/repos/mlx/docs/src/python/_autosummary/mlx.optimizers.SGD.rst:16:<autosummary><3E>hKhj<>ubh<16> (learning_rate[, momentum, ...])<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hj<>hKhj<>ubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hj<>ubj<62>)<29><>}<7D>(hhh]<5D>j<EFBFBD>)<29><>}<7D>(hhh]<5D>h}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hj<>ubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hj<>ubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hjubj<62>)<29><>}<7D>(hhh]<5D>(j<>)<29><>}<7D>(hhh]<5D>j<EFBFBD>)<29><>}<7D>(h<05>Z:py:obj:`apply_single <mlx.optimizers.SGD.apply_single>`\ \(gradient\, parameter\, state\)<29>h]<5D>(h<>)<29><>}<7D>(h<05>8:py:obj:`apply_single <mlx.optimizers.SGD.apply_single>`<60>h]<5D>j<EFBFBD>)<29><>}<7D>(hj<>h]<5D>h<16>apply_single<6C><65><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubah}<7D>(h!]<5D>h#]<5D>(j<><00>py<70><79>py-obj<62>eh%]<5D>h']<5D>h)]<5D>uh+j<>hj<>ubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>refdoc<6F>j<00>	refdomain<69>j<EFBFBD><00>reftype<70><65>obj<62><6A>refexplicit<69><74><EFBFBD>refwarn<72><6E>j<EFBFBD>j<>j<>h<>j<EFBFBD><00>mlx.optimizers.SGD.apply_single<6C>uh+h<>h<1D>`/Users/awnihannun/repos/mlx/docs/src/python/_autosummary/mlx.optimizers.SGD.rst:16:<autosummary><3E>hKhj<>ubh<16>(gradient, parameter, state)<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj<>hhhNhNubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hj	hKhj<>ubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hj<>ubj<62>)<29><>}<7D>(hhh]<5D>j<EFBFBD>)<29><>}<7D>(h<05>NPerforms the SGD parameter update and stores :math:`v` in the optimizer state.<2E>h]<5D>(h<16>-Performs the SGD parameter update and stores <20><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj	hhhNhNubj<62>)<29><>}<7D>(h<05>	:math:`v`<60>h]<5D>h<16>v<><76><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj!	hhhNhNubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hj	ubh<16> in the optimizer state.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(hj	hhhNhNubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hjUhKhj	ubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hj<>ubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hjubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j}hjdubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>cols<6C>Kuh+jbhj_ubah}<7D>(h!]<5D>h#]<5D><>autosummary longtable<6C>ah%]<5D>h']<5D>h)]<5D>uh+j]hjYubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>hjhkuh+jWhj<>hhhjUhNubeh}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D>uh+j<>hh@hhhhlhNubeh}<7D>(h!]<5D>h#]<5D>(j<><00>class<73>eh%]<5D>h']<5D>h)]<5D><>domain<69>j<EFBFBD><00>objtype<70>jh	<00>desctype<70>jh	<00>noindex<65><78>uh+h>hhhhhNhNubeh}<7D>(h!]<5D><>mlx-optimizers-sgd<67>ah#]<5D>h%]<5D><>mlx.optimizers.sgd<67>ah']<5D>h)]<5D>uh+h
hhhhhh,hKubah}<7D>(h!]<5D>h#]<5D>h%]<5D>h']<5D>h)]<5D><>source<63>h,uh+h<01>current_source<63>N<EFBFBD>current_line<6E>N<EFBFBD>settings<67><73>docutils.frontend<6E><64>Values<65><73><EFBFBD>)<29><>}<7D>(hN<>	generator<6F>N<EFBFBD>	datestamp<6D>N<EFBFBD>source_link<6E>N<EFBFBD>
source_url<EFBFBD>N<EFBFBD>
toc_backlinks<6B>j<EFBFBD><00>footnote_backlinks<6B>K<01>
sectnum_xform<72>K<01>strip_comments<74>N<EFBFBD>strip_elements_with_classes<65>N<EFBFBD>
strip_classes<65>N<EFBFBD>report_level<65>K<02>
halt_level<EFBFBD>K<05>exit_status_level<65>K<05>debug<75>N<EFBFBD>warning_stream<61>N<EFBFBD>	traceback<63><6B><EFBFBD>input_encoding<6E><67>	utf-8-sig<69><67>input_encoding_error_handler<65><72>strict<63><74>output_encoding<6E><67>utf-8<><38>output_encoding_error_handler<65>j<EFBFBD>	<00>error_encoding<6E><67>utf-8<><38>error_encoding_error_handler<65><72>backslashreplace<63><65>
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