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A Complete Guide to Neural Network Optimizers

3 months ago
  • #neural-networks
  • #machine-learning
  • #optimization
  • Neural network training is an optimization problem aiming to minimize the loss function by finding the best weights.
  • Optimization algorithms help navigate complex loss landscapes with valleys, plateaus, and saddle points.
  • Seven key optimizers are discussed: SGD, Momentum, Nesterov Momentum, AdaGrad, RMSProp, Adam, and AdamW.
  • SGD is simple but can oscillate and converge slowly due to a fixed learning rate.
  • Momentum reduces oscillations by accumulating gradients, speeding up convergence in consistent directions.
  • Nesterov Momentum improves upon Momentum by anticipating future gradient directions for more precise updates.
  • AdaGrad adapts learning rates per parameter, useful for sparse gradients but suffers from rapid learning rate decay.
  • RMSProp stabilizes learning rates using exponentially weighted averages of past squared gradients.
  • Adam combines Momentum and RMSProp, offering adaptive learning rates and momentum with bias correction.
  • AdamW decouples weight decay from gradient updates, improving generalization over Adam.
  • Optimizer choice depends on problem characteristics like dataset size, gradient sparsity, and computational budget.
  • Adam and AdamW are popular for their robust performance, but SGD with Momentum remains competitive in certain tasks.