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<EFBFBD><05>k5<00>sphinx.addnodes<65><73>document<6E><74><EFBFBD>)<29><>}<7D>(<28> rawsource<63><65><00><>children<65>]<5D>(<28>docutils.nodes<65><73>target<65><74><EFBFBD>)<29><>}<7D>(h<05>.. _nn_functions:<3A>h]<5D><>
attributes<EFBFBD>}<7D>(<28>ids<64>]<5D><>classes<65>]<5D><>names<65>]<5D><>dupnames<65>]<5D><>backrefs<66>]<5D><>refid<69><64> nn-functions<6E>u<EFBFBD>tagname<6D>h
<EFBFBD>line<6E>K<01>parent<6E>h<03> _document<6E>h<03>source<63><65></Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst<73>ubh <09>section<6F><6E><EFBFBD>)<29><>}<7D>(hhh]<5D>(h <09>title<6C><65><EFBFBD>)<29><>}<7D>(h<05> Functions<6E>h]<5D>h <09>Text<78><74><EFBFBD><EFBFBD> Functions<6E><73><EFBFBD><EFBFBD><EFBFBD>}<7D>(h h+h!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh)h h&h!hh"h#hKubh <09> paragraph<70><68><EFBFBD>)<29><>}<7D>(h<05>\Layers without parameters (e.g. activation functions) are also provided as
simple functions.<2E>h]<5D>h0<68>\Layers without parameters (e.g. activation functions) are also provided as
simple functions.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h h=h!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"h#hKh h&h!hubh<00>tabular_col_spec<65><63><EFBFBD>)<29><>}<7D>(hhh]<5D>h}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>spec<65><63>\X{1}{2}\X{1}{2}<7D>uhhKh h&h!hh"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hNub<75>sphinx.ext.autosummary<72><79>autosummary_table<6C><65><EFBFBD>)<29><>}<7D>(hX
gelu(x)
Applies the Gaussian Error Linear Units function.
gelu_approx(x)
An approximation to Gaussian Error Linear Unit.
gelu_fast_approx(x)
A fast approximation to Gaussian Error Linear Unit.
mish(x)
Applies the Mish function, element-wise.
prelu(x, alpha)
Applies the element-wise parametric ReLU.
relu(x)
Applies the Rectified Linear Unit.
selu(x)
Applies the Scaled Exponential Linear Unit.
silu(x)
Applies the Sigmoid Linear Unit.
step(x[, threshold])
Applies the Step Activation Function.<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
uhhjh hgubhk)<29><>}<7D>(hhh]<5D>h}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>colwidth<74>KZuhhjh hgubh <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>h<)<29><>}<7D>(h<05>#:py:obj:`gelu <mlx.nn.gelu>`\ \(x\)<29>h]<5D>(h<00> pending_xref<65><66><EFBFBD>)<29><>}<7D>(h<05>:py:obj:`gelu <mlx.nn.gelu>`<60>h]<5D>h <09>literal<61><6C><EFBFBD>)<29><>}<7D>(hh<>h]<5D>h0<68>gelu<6C><75><EFBFBD><EFBFBD><EFBFBD>}<7D>(h h<>h!hh"NhNubah}<7D>(h]<5D>h]<5D>(<28>xref<65><66>py<70><79>py-obj<62>eh]<5D>h]<5D>h]<5D>uhh<>h h<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>refdoc<6F><63>python/nn/functions<6E><73> refdomain<69>h<EFBFBD><68>reftype<70><65>obj<62><6A> refexplicit<69><74><EFBFBD>refwarn<72><6E><EFBFBD> py:module<6C><65>mlx.nn<6E><6E>py:class<73>N<EFBFBD> reftarget<65><74> mlx.nn.gelu<6C>uhh<>h"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hKh h<>ubh0<68>(x)<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h h<>h!hh"NhNubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"h<>hKh h<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h h<>ubh<62>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>(h<05>1Applies the Gaussian Error Linear Units function.<2E>h]<5D>h0<68>1Applies the Gaussian Error Linear Units function.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h h<>h!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hKh h<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h h<>ubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h h<>ubh<62>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>(h<05>1:py:obj:`gelu_approx <mlx.nn.gelu_approx>`\ \(x\)<29>h]<5D>(h<>)<29><>}<7D>(h<05>*:py:obj:`gelu_approx <mlx.nn.gelu_approx>`<60>h]<5D>h<EFBFBD>)<29><>}<7D>(hh<>h]<5D>h0<68> gelu_approx<6F><78><EFBFBD><EFBFBD><EFBFBD>}<7D>(h h<>h!hh"NhNubah}<7D>(h]<5D>h]<5D>(h<><68>py<70><79>py-obj<62>eh]<5D>h]<5D>h]<5D>uhh<>h h<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>refdoc<6F>h<EFBFBD><68> refdomain<69>j<00>reftype<70><65>obj<62><6A> refexplicit<69><74><EFBFBD>refwarn<72><6E>h<EFBFBD>h<EFBFBD>h<EFBFBD>Nh<4E><68>mlx.nn.gelu_approx<6F>uhh<>h"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hKh h<>ubh0<68>(x)<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h h<>h!hh"NhNubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"jhKh h<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h h<>ubh<62>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>(h<05>/An approximation to Gaussian Error Linear Unit.<2E>h]<5D>h0<68>/An approximation to Gaussian Error Linear Unit.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j*h!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hKh j'ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h h<>ubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h h<>ubh<62>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>(h<05>;:py:obj:`gelu_fast_approx <mlx.nn.gelu_fast_approx>`\ \(x\)<29>h]<5D>(h<>)<29><>}<7D>(h<05>4:py:obj:`gelu_fast_approx <mlx.nn.gelu_fast_approx>`<60>h]<5D>h<EFBFBD>)<29><>}<7D>(hjQh]<5D>h0<68>gelu_fast_approx<6F><78><EFBFBD><EFBFBD><EFBFBD>}<7D>(h jSh!hh"NhNubah}<7D>(h]<5D>h]<5D>(h<><68>py<70><79>py-obj<62>eh]<5D>h]<5D>h]<5D>uhh<>h jOubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>refdoc<6F>h<EFBFBD><68> refdomain<69>j]<00>reftype<70><65>obj<62><6A> refexplicit<69><74><EFBFBD>refwarn<72><6E>h<EFBFBD>h<EFBFBD>h<EFBFBD>Nh<4E><68>mlx.nn.gelu_fast_approx<6F>uhh<>h"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hKh jKubh0<68>(x)<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h jKh!hh"NhNubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"johKh jHubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h jEubh<62>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>(h<05>3A fast approximation to Gaussian Error Linear Unit.<2E>h]<5D>h0<68>3A fast approximation to Gaussian Error Linear Unit.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j<>h!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hKh j<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h jEubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h h<>ubh<62>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>(h<05>#:py:obj:`mish <mlx.nn.mish>`\ \(x\)<29>h]<5D>(h<>)<29><>}<7D>(h<05>:py:obj:`mish <mlx.nn.mish>`<60>h]<5D>h<EFBFBD>)<29><>}<7D>(hj<>h]<5D>h0<68>mish<73><68><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j<>h!hh"NhNubah}<7D>(h]<5D>h]<5D>(h<><68>py<70><79>py-obj<62>eh]<5D>h]<5D>h]<5D>uhh<>h j<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>refdoc<6F>h<EFBFBD><68> refdomain<69>j<EFBFBD><00>reftype<70><65>obj<62><6A> refexplicit<69><74><EFBFBD>refwarn<72><6E>h<EFBFBD>h<EFBFBD>h<EFBFBD>Nh<4E><68> mlx.nn.mish<73>uhh<>h"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hKh j<>ubh0<68>(x)<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j<>h!hh"NhNubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"j<>hKh j<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h j<>ubh<62>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>(h<05>(Applies the Mish function, element-wise.<2E>h]<5D>h0<68>(Applies the Mish function, element-wise.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j<>h!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hKh j<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h j<>ubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h h<>ubh<62>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>
(x, alpha)<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j<>h!hh"NhNubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"j!hKh j<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h j<>ubh<62>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>(h<05>)Applies the element-wise parametric ReLU.<2E>h]<5D>h0<68>)Applies the element-wise parametric ReLU.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j5h!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hKh j2ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h j<>ubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h h<>ubh<62>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>(h<05>#:py:obj:`relu <mlx.nn.relu>`\ \(x\)<29>h]<5D>(h<>)<29><>}<7D>(h<05>:py:obj:`relu <mlx.nn.relu>`<60>h]<5D>h<EFBFBD>)<29><>}<7D>(hj\h]<5D>h0<68>relu<6C><75><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j^h!hh"NhNubah}<7D>(h]<5D>h]<5D>(h<><68>py<70><79>py-obj<62>eh]<5D>h]<5D>h]<5D>uhh<>h jZubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>refdoc<6F>h<EFBFBD><68> refdomain<69>jh<00>reftype<70><65>obj<62><6A> refexplicit<69><74><EFBFBD>refwarn<72><6E>h<EFBFBD>h<EFBFBD>h<EFBFBD>Nh<4E><68> mlx.nn.relu<6C>uhh<>h"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hKh jVubh0<68>(x)<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h jVh!hh"NhNubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"jzhKh jSubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h jPubh<62>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>(h<05>"Applies the Rectified Linear Unit.<2E>h]<5D>h0<68>"Applies the Rectified Linear Unit.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j<>h!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hKh j<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h jPubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h h<>ubh<62>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>(h<05>#:py:obj:`selu <mlx.nn.selu>`\ \(x\)<29>h]<5D>(h<>)<29><>}<7D>(h<05>:py:obj:`selu <mlx.nn.selu>`<60>h]<5D>h<EFBFBD>)<29><>}<7D>(hj<>h]<5D>h0<68>selu<6C><75><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j<>h!hh"NhNubah}<7D>(h]<5D>h]<5D>(h<><68>py<70><79>py-obj<62>eh]<5D>h]<5D>h]<5D>uhh<>h j<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>refdoc<6F>h<EFBFBD><68> refdomain<69>j<EFBFBD><00>reftype<70><65>obj<62><6A> refexplicit<69><74><EFBFBD>refwarn<72><6E>h<EFBFBD>h<EFBFBD>h<EFBFBD>Nh<4E><68> mlx.nn.selu<6C>uhh<>h"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hKh j<>ubh0<68>(x)<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j<>h!hh"NhNubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"j<>hKh j<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h j<>ubh<62>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>(h<05>+Applies the Scaled Exponential Linear Unit.<2E>h]<5D>h0<68>+Applies the Scaled Exponential Linear Unit.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j<>h!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hKh j<>ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h j<>ubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h h<>ubh<62>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>(h<05>#:py:obj:`silu <mlx.nn.silu>`\ \(x\)<29>h]<5D>(h<>)<29><>}<7D>(h<05>:py:obj:`silu <mlx.nn.silu>`<60>h]<5D>h<EFBFBD>)<29><>}<7D>(hjh]<5D>h0<68>silu<6C><75><EFBFBD><EFBFBD><EFBFBD>}<7D>(h jh!hh"NhNubah}<7D>(h]<5D>h]<5D>(h<><68>py<70><79>py-obj<62>eh]<5D>h]<5D>h]<5D>uhh<>h j ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>refdoc<6F>h<EFBFBD><68> refdomain<69>j<00>reftype<70><65>obj<62><6A> refexplicit<69><74><EFBFBD>refwarn<72><6E>h<EFBFBD>h<EFBFBD>h<EFBFBD>Nh<4E><68> mlx.nn.silu<6C>uhh<>h"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hKh jubh0<68>(x)<29><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h jh!hh"NhNubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"j,hKh jubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h jubh<62>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>(h<05> Applies the Sigmoid Linear Unit.<2E>h]<5D>h0<68> Applies the Sigmoid Linear Unit.<2E><><EFBFBD><EFBFBD><EFBFBD>}<7D>(h j@h!hh"NhNubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh;h"<22>M/Users/awnihannun/repos/mlx/docs/src/python/nn/functions.rst:23:<autosummary><3E>hKh j=ubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h jubeh}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D>uhh<>h h<>ubh<62>)<29><>}<7D>(hhh]<5D>(h<>)<29><>}<7D>(hhh]<5D>h<)<29><>}<7D>(h<05>3:py:obj:`step <mlx.nn.step>`\ \(x\[\, threshold\]\)<29>h]<5D>(h<>)<29><>}<7D>(h<05>:py:obj:`step <mlx.nn.step>`<60>h]<5D>h<EFBFBD>)<29><>}<7D>(hjgh]<5D>h0<68>step<65><70><EFBFBD><EFBFBD><EFBFBD>}<7D>(h jih!hh"NhNubah}<7D>(h]<5D>h]<5D>(h<><68>py<70><79>py-obj<62>eh]<5D>h]<5D>h]<5D>uhh<>h jeubah}<7D>(h]<5D>h]<5D>h]<5D>h]<5D>h]<5D><>refdoc<6F>h<EFBFBD><68> refdomain<69>js<00>reftype<70><65>obj<62><6A> 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