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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Module.filter_and_map.html">mlx.nn.Module.filter_and_map</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Module.freeze.html">mlx.nn.Module.freeze</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Module.leaf_modules.html">mlx.nn.Module.leaf_modules</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Module.load_weights.html">mlx.nn.Module.load_weights</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Module.modules.html">mlx.nn.Module.modules</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Module.named_modules.html">mlx.nn.Module.named_modules</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Module.parameters.html">mlx.nn.Module.parameters</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Module.save_weights.html">mlx.nn.Module.save_weights</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Module.set_dtype.html">mlx.nn.Module.set_dtype</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Module.train.html">mlx.nn.Module.train</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Module.trainable_parameters.html">mlx.nn.Module.trainable_parameters</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Module.unfreeze.html">mlx.nn.Module.unfreeze</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Module.update.html">mlx.nn.Module.update</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Module.update_modules.html">mlx.nn.Module.update_modules</a></li>
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</ul>
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</details></li>
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<li class="toctree-l2 has-children"><a class="reference internal" href="python/nn/layers.html">Layers</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.ALiBi.html">mlx.nn.ALiBi</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.AvgPool1d.html">mlx.nn.AvgPool1d</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.AvgPool2d.html">mlx.nn.AvgPool2d</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.AvgPool3d.html">mlx.nn.AvgPool3d</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.BatchNorm.html">mlx.nn.BatchNorm</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.CELU.html">mlx.nn.CELU</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Conv1d.html">mlx.nn.Conv1d</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Conv2d.html">mlx.nn.Conv2d</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Conv3d.html">mlx.nn.Conv3d</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.ConvTranspose1d.html">mlx.nn.ConvTranspose1d</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.ConvTranspose2d.html">mlx.nn.ConvTranspose2d</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.ConvTranspose3d.html">mlx.nn.ConvTranspose3d</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Dropout.html">mlx.nn.Dropout</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Dropout2d.html">mlx.nn.Dropout2d</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Dropout3d.html">mlx.nn.Dropout3d</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Embedding.html">mlx.nn.Embedding</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.ELU.html">mlx.nn.ELU</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.GELU.html">mlx.nn.GELU</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.GLU.html">mlx.nn.GLU</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.GroupNorm.html">mlx.nn.GroupNorm</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.GRU.html">mlx.nn.GRU</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.HardShrink.html">mlx.nn.HardShrink</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.HardTanh.html">mlx.nn.HardTanh</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Hardswish.html">mlx.nn.Hardswish</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.InstanceNorm.html">mlx.nn.InstanceNorm</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.LayerNorm.html">mlx.nn.LayerNorm</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.LeakyReLU.html">mlx.nn.LeakyReLU</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Linear.html">mlx.nn.Linear</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.LogSigmoid.html">mlx.nn.LogSigmoid</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.LogSoftmax.html">mlx.nn.LogSoftmax</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.LSTM.html">mlx.nn.LSTM</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.MaxPool1d.html">mlx.nn.MaxPool1d</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.MaxPool2d.html">mlx.nn.MaxPool2d</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.MaxPool3d.html">mlx.nn.MaxPool3d</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Mish.html">mlx.nn.Mish</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.MultiHeadAttention.html">mlx.nn.MultiHeadAttention</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.PReLU.html">mlx.nn.PReLU</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.QuantizedEmbedding.html">mlx.nn.QuantizedEmbedding</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.QuantizedLinear.html">mlx.nn.QuantizedLinear</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.RMSNorm.html">mlx.nn.RMSNorm</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.ReLU.html">mlx.nn.ReLU</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.ReLU6.html">mlx.nn.ReLU6</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.RNN.html">mlx.nn.RNN</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.RoPE.html">mlx.nn.RoPE</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.SELU.html">mlx.nn.SELU</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Sequential.html">mlx.nn.Sequential</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Sigmoid.html">mlx.nn.Sigmoid</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.SiLU.html">mlx.nn.SiLU</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.SinusoidalPositionalEncoding.html">mlx.nn.SinusoidalPositionalEncoding</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Softmin.html">mlx.nn.Softmin</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Softshrink.html">mlx.nn.Softshrink</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Softsign.html">mlx.nn.Softsign</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Softmax.html">mlx.nn.Softmax</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Softplus.html">mlx.nn.Softplus</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Step.html">mlx.nn.Step</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Tanh.html">mlx.nn.Tanh</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Transformer.html">mlx.nn.Transformer</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.Upsample.html">mlx.nn.Upsample</a></li>
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</ul>
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</details></li>
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<li class="toctree-l2 has-children"><a class="reference internal" href="python/nn/functions.html">Functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.elu.html">mlx.nn.elu</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.celu.html">mlx.nn.celu</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.gelu.html">mlx.nn.gelu</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.gelu_approx.html">mlx.nn.gelu_approx</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.gelu_fast_approx.html">mlx.nn.gelu_fast_approx</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.glu.html">mlx.nn.glu</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.hard_shrink.html">mlx.nn.hard_shrink</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.hard_tanh.html">mlx.nn.hard_tanh</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.hardswish.html">mlx.nn.hardswish</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.leaky_relu.html">mlx.nn.leaky_relu</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.log_sigmoid.html">mlx.nn.log_sigmoid</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.log_softmax.html">mlx.nn.log_softmax</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.mish.html">mlx.nn.mish</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.prelu.html">mlx.nn.prelu</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.relu.html">mlx.nn.relu</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.relu6.html">mlx.nn.relu6</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.selu.html">mlx.nn.selu</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.sigmoid.html">mlx.nn.sigmoid</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.silu.html">mlx.nn.silu</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.softmax.html">mlx.nn.softmax</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.softmin.html">mlx.nn.softmin</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.softplus.html">mlx.nn.softplus</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.softshrink.html">mlx.nn.softshrink</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.step.html">mlx.nn.step</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.tanh.html">mlx.nn.tanh</a></li>
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</ul>
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</details></li>
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<li class="toctree-l2 has-children"><a class="reference internal" href="python/nn/losses.html">Loss Functions</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.losses.binary_cross_entropy.html">mlx.nn.losses.binary_cross_entropy</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.losses.cosine_similarity_loss.html">mlx.nn.losses.cosine_similarity_loss</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.losses.cross_entropy.html">mlx.nn.losses.cross_entropy</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.losses.gaussian_nll_loss.html">mlx.nn.losses.gaussian_nll_loss</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.losses.hinge_loss.html">mlx.nn.losses.hinge_loss</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.losses.huber_loss.html">mlx.nn.losses.huber_loss</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.losses.kl_div_loss.html">mlx.nn.losses.kl_div_loss</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.losses.l1_loss.html">mlx.nn.losses.l1_loss</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.losses.log_cosh_loss.html">mlx.nn.losses.log_cosh_loss</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.losses.margin_ranking_loss.html">mlx.nn.losses.margin_ranking_loss</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.losses.mse_loss.html">mlx.nn.losses.mse_loss</a></li>
|
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.losses.nll_loss.html">mlx.nn.losses.nll_loss</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.losses.smooth_l1_loss.html">mlx.nn.losses.smooth_l1_loss</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary_functions/mlx.nn.losses.triplet_loss.html">mlx.nn.losses.triplet_loss</a></li>
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</ul>
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</details></li>
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<li class="toctree-l2 has-children"><a class="reference internal" href="python/nn/init.html">Initializers</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.init.constant.html">mlx.nn.init.constant</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.init.normal.html">mlx.nn.init.normal</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.init.uniform.html">mlx.nn.init.uniform</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.init.identity.html">mlx.nn.init.identity</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.init.glorot_normal.html">mlx.nn.init.glorot_normal</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.init.glorot_uniform.html">mlx.nn.init.glorot_uniform</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.init.he_normal.html">mlx.nn.init.he_normal</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/nn/_autosummary/mlx.nn.init.he_uniform.html">mlx.nn.init.he_uniform</a></li>
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</ul>
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</details></li>
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</ul>
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</details></li>
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<li class="toctree-l1 has-children"><a class="reference internal" href="python/optimizers.html">Optimizers</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
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<li class="toctree-l2 has-children"><a class="reference internal" href="python/optimizers/optimizer.html">Optimizer</a><details><summary><span class="toctree-toggle" role="presentation"><i class="fa-solid fa-chevron-down"></i></span></summary><ul>
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<li class="toctree-l3"><a class="reference internal" href="python/optimizers/_autosummary/mlx.optimizers.Optimizer.state.html">mlx.optimizers.Optimizer.state</a></li>
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<li class="toctree-l3"><a class="reference internal" href="python/optimizers/_autosummary/mlx.optimizers.Optimizer.apply_gradients.html">mlx.optimizers.Optimizer.apply_gradients</a></li>
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<h1>MLX</h1>
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<h1>MLX<a class="headerlink" href="#mlx" title="Link to this heading">#</a></h1>
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<p>MLX is a NumPy-like array framework designed for efficient and flexible machine
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learning on Apple silicon, brought to you by Apple machine learning research.</p>
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<p>The Python API closely follows NumPy with a few exceptions. MLX also has a
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fully featured C++ API which closely follows the Python API.</p>
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<p>The main differences between MLX and NumPy are:</p>
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<blockquote>
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<div><ul class="simple">
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<li><p><strong>Composable function transformations</strong>: MLX has composable function
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transformations for automatic differentiation, automatic vectorization,
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and computation graph optimization.</p></li>
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<li><p><strong>Lazy computation</strong>: Computations in MLX are lazy. Arrays are only
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<p>The design of MLX is inspired by frameworks like <a class="reference external" href="https://pytorch.org/">PyTorch</a>, <a class="reference external" href="https://github.com/google/jax">Jax</a>, and
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<a class="reference external" href="https://arrayfire.org/">ArrayFire</a>. A notable difference from these
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