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🚀 Getting started
🖼️ Example gallery
Examples
Adversarial training
ResNet on CIFAR10 with Flax NNX and Optax.
Simple NN with Flax.
Freezing Parameters in Optax
Gradient Accumulation
Summary
L-BFGS
Linear assignment problem
Lookahead Optimizer on MNIST
Meta-Learning
MLP MNIST
Character-level Transformer on Tiny Shakespeare
Optimistic Gradient Descent in a Bilinear Min-Max Problem
Perturbed optimizers
Contrib Examples
Differentially private convolutional neural network on MNIST.
Using the Muon Optimizer in Optax
Reduce on Plateau Learning Rate Scheduler
Recreate AdeMAMix Rosenbrock Plot from Paper
Sharpness-Aware Minimization (SAM)
🛠️ Development
📖 Reference
Assignment problem
optax.assignment.hungarian_algorithm
Optimizers
optax.adabelief
optax.adadelta
optax.adan
optax.adafactor
optax.adagrad
optax.adam
optax.adamw
optax.adamax
optax.adamaxw
optax.amsgrad
optax.fromage
optax.lamb
optax.lars
optax.lbfgs
optax.lion
optax.nadam
optax.nadamw
optax.noisy_sgd
optax.novograd
optax.optimistic_gradient_descent
optax.optimistic_adam_v2
optax.polyak_sgd
optax.radam
optax.rmsprop
optax.sgd
optax.sign_sgd
optax.signum
optax.sm3
optax.yogi
optax.rprop
Transformations
optax.adaptive_grad_clip
optax.AdaptiveGradClipState
optax.add_decayed_weights
optax.AddDecayedWeightsState
optax.add_noise
optax.AddNoiseState
optax.apply_every
optax.ApplyEvery
optax.bias_correction
optax.conditionally_mask
optax.conditionally_transform
optax.ConditionallyMaskState
optax.ConditionallyTransformState
optax.centralize
optax.clip
optax.clip_by_block_rms
optax.ClipState
optax.clip_by_global_norm
optax.ClipByGlobalNormState
optax.ema
optax.EmaState
optax.EmptyState
optax.global_norm
optax.GradientTransformation
optax.GradientTransformationExtraArgs
optax.identity
optax.init_empty_state
optax.keep_params_nonnegative
optax.measure_with_ema
optax.monitor
optax.MonitorState
optax.NonNegativeParamsState
optax.normalize_by_update_norm
optax.OptState
optax.Params
optax.per_example_global_norm_clip
optax.per_example_layer_norm_clip
optax.scale
optax.ScaleState
optax.scale_by_adadelta
optax.ScaleByAdaDeltaState
optax.scale_by_adan
optax.ScaleByAdanState
optax.scale_by_adam
optax.scale_by_adamax
optax.ScaleByAdamState
optax.scale_by_amsgrad
optax.ScaleByAmsgradState
optax.scale_by_backtracking_linesearch
optax.ScaleByBacktrackingLinesearchState
optax.scale_by_belief
optax.ScaleByBeliefState
optax.scale_by_factored_rms
optax.FactoredState
optax.scale_by_lbfgs
optax.ScaleByLBFGSState
optax.scale_by_learning_rate
optax.scale_by_lion
optax.ScaleByLionState
optax.scale_by_novograd
optax.ScaleByNovogradState
optax.scale_by_optimistic_gradient
optax.scale_by_param_block_norm
optax.scale_by_param_block_rms
optax.scale_by_polyak
optax.scale_by_radam
optax.scale_by_rms
optax.ScaleByRmsState
optax.scale_by_rprop
optax.ScaleByRpropState
optax.scale_by_rss
optax.ScaleByRssState
optax.scale_by_schedule
optax.ScaleByScheduleState
optax.scale_by_sign
optax.scale_by_sm3
optax.ScaleBySM3State
optax.scale_by_stddev
optax.ScaleByRStdDevState
optax.scale_by_trust_ratio
optax.ScaleByTrustRatioState
optax.scale_by_yogi
optax.scale_by_zoom_linesearch
optax.ScaleByZoomLinesearchState
optax.set_to_zero
optax.snapshot
optax.SnapshotState
optax.stateless
optax.stateless_with_tree_map
optax.trace
optax.TraceState
optax.TransformInitFn
optax.TransformUpdateFn
optax.TransformUpdateExtraArgsFn
optax.update_infinity_moment
optax.update_moment
optax.update_moment_per_elem_norm
optax.Updates
optax.with_extra_args_support
optax.zero_nans
optax.ZeroNansState
optax.ZoomLinesearchInfo
optax.masked
optax.freeze
optax.selective_transform
Combining Optimizers
optax.chain
optax.named_chain
optax.partition
optax.PartitionState
Optimizer Wrappers
optax.apply_if_finite
optax.ApplyIfFiniteState
optax.flatten
optax.lookahead
optax.LookaheadParams
optax.LookaheadState
optax.masked
optax.MaskedState
optax.MultiSteps
optax.MultiStepsState
optax.ShouldSkipUpdateFunction
optax.skip_large_updates
optax.skip_not_finite
Optimizer Schedules
optax.schedules.constant_schedule
optax.schedules.cosine_decay_schedule
optax.schedules.cosine_onecycle_schedule
optax.schedules.exponential_decay
optax.schedules.join_schedules
optax.schedules.linear_onecycle_schedule
optax.schedules.linear_schedule
optax.schedules.piecewise_constant_schedule
optax.schedules.piecewise_interpolate_schedule
optax.schedules.polynomial_schedule
optax.schedules.sgdr_schedule
optax.schedules.warmup_constant_schedule
optax.schedules.warmup_cosine_decay_schedule
optax.schedules.warmup_exponential_decay_schedule
optax.schedules.Schedule
optax.schedules.InjectHyperparamsState
optax.schedules.inject_hyperparams
optax.contrib.reduce_on_plateau
Apply Updates
optax.apply_updates
optax.incremental_update
optax.periodic_update
Perturbations
optax.perturbations.make_perturbed_fun
optax.perturbations.Gumbel
optax.perturbations.Normal
Projections
optax.projections.projection_box
optax.projections.projection_hypercube
optax.projections.projection_l1_ball
optax.projections.projection_l1_sphere
optax.projections.projection_l2_ball
optax.projections.projection_l2_sphere
optax.projections.projection_linf_ball
optax.projections.projection_non_negative
optax.projections.projection_simplex
optax.projections.projection_vector
optax.projections.projection_hyperplane
optax.projections.projection_halfspace
Losses
optax.losses.binary_dice_loss
optax.losses.convex_kl_divergence
optax.losses.cosine_distance
optax.losses.cosine_similarity
optax.losses.ctc_loss
optax.losses.ctc_loss_with_forward_probs
optax.losses.dice_loss
optax.losses.generalized_kl_divergence
optax.losses.hinge_loss
optax.losses.huber_loss
optax.losses.kl_divergence
optax.losses.kl_divergence_with_log_targets
optax.losses.l2_loss
optax.losses.log_cosh
optax.losses.make_fenchel_young_loss
optax.losses.multiclass_generalized_dice_loss
optax.losses.multiclass_hinge_loss
optax.losses.multiclass_perceptron_loss
optax.losses.multiclass_sparsemax_loss
optax.losses.ntxent
optax.losses.perceptron_loss
optax.losses.poly_loss_cross_entropy
optax.losses.ranking_softmax_loss
optax.losses.safe_softmax_cross_entropy
optax.losses.sigmoid_binary_cross_entropy
optax.losses.sigmoid_focal_loss
optax.losses.smooth_labels
optax.losses.softmax_cross_entropy
optax.losses.softmax_cross_entropy_with_integer_labels
optax.losses.sparsemax_loss
optax.losses.squared_error
optax.losses.triplet_margin_loss
Utilities
optax.scale_gradient
optax.value_and_grad_from_state
optax.safe_increment
optax.safe_norm
optax.safe_root_mean_squares
optax.matrix_inverse_pth_root
optax.power_iteration
optax.nnls
optax.second_order.fisher_diag
optax.second_order.hessian_diag
optax.second_order.hvp
optax.tree_utils.NamedTupleKey
optax.tree_utils.tree_add
optax.tree_utils.tree_add_scale
optax.tree_utils.tree_allclose
optax.tree_utils.tree_batch_shape
optax.tree_utils.tree_cast
optax.tree_utils.tree_cast_like
optax.tree_utils.tree_clip
optax.tree_utils.tree_conj
optax.tree_utils.tree_div
optax.tree_utils.tree_dtype
optax.tree_utils.tree_full_like
optax.tree_utils.tree_get
optax.tree_utils.tree_get_all_with_path
optax.tree_utils.tree_norm
optax.tree_utils.tree_map_params
optax.tree_utils.tree_max
optax.tree_utils.tree_min
optax.tree_utils.tree_mul
optax.tree_utils.tree_ones_like
optax.tree_utils.tree_random_like
optax.tree_utils.tree_real
optax.tree_utils.tree_split_key_like
optax.tree_utils.tree_scale
optax.tree_utils.tree_set
optax.tree_utils.tree_size
optax.tree_utils.tree_sub
optax.tree_utils.tree_sum
optax.tree_utils.tree_vdot
optax.tree_utils.tree_where
optax.tree_utils.tree_zeros_like
Microbatching
optax.microbatching.microbatch
optax.microbatching.micro_vmap
optax.microbatching.micro_grad
optax.microbatching.reshape_batch_axis
optax.microbatching.AccumulationType
optax.microbatching.Accumulator
🔧 Contrib
optax.contrib.acprop
optax.contrib.ademamix
optax.contrib.adopt
optax.contrib.simplified_ademamix
optax.contrib.cocob
optax.contrib.COCOBState
optax.contrib.dadapt_adamw
optax.contrib.DAdaptAdamWState
optax.contrib.differentially_private_aggregate
optax.contrib.DifferentiallyPrivateAggregateState
optax.contrib.dog
optax.contrib.DoGState
optax.contrib.dowg
optax.contrib.DoWGState
optax.contrib.dpsgd
optax.contrib.galore
optax.contrib.GaLoreState
optax.contrib.madgrad
optax.contrib.MadgradState
optax.contrib.mechanize
optax.contrib.MechanicState
optax.contrib.momo
optax.contrib.MomoState
optax.contrib.momo_adam
optax.contrib.MomoAdamState
optax.contrib.muon
optax.contrib.MuonState
optax.contrib.prodigy
optax.contrib.ProdigyState
optax.contrib.sam
optax.contrib.SAMState
optax.contrib.schedule_free
optax.contrib.schedule_free_adamw
optax.contrib.schedule_free_eval_params
optax.contrib.schedule_free_sgd
optax.contrib.ScheduleFreeState
optax.contrib.sophia
optax.contrib.SophiaState
optax.contrib.split_real_and_imaginary
optax.contrib.SplitRealAndImaginaryState
optax.contrib.scale_by_ademamix
optax.contrib.ScaleByAdemamixState
optax.contrib.scale_by_simplified_ademamix
optax.contrib.ScaleBySimplifiedAdEMAMixState
optax.contrib.scale_by_adopt
optax.contrib.scale_by_acprop
optax.contrib.scale_by_madgrad
optax.contrib.scale_by_muon
optax.contrib.hutchinson_estimator_diag_hessian
optax.contrib.HutchinsonState
🧪 Experimental
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