An oscillatory function defined as $x \cdot cos(x)$ that reports better performance than Sigmoid, Mish, Swish, and ReLU on several benchmarks.

**Pythia** is a suite of decoder-only autoregressive language models all trained on public data seen in the exact same order and ranging in size from 70M to 12B parameters. The model architecture and hyperparameters largely follow GPT-3, with a few notable deviations based on recent advances in best practices for large scale language modeling.

Pythia

Pythia: A Suite for Analyzing Large Language Models Across Training and Scaling

Growing Cosine Unit: A Novel Oscillatory Activation Function That Can Speedup Training and Reduce Parameters in Convolutional Neural Networks

Weight Reset is an implicit regularization procedure that periodically resets a randomly selected portion of layer weights during the training process, according to predefined probability distributions.

To delineate the Weight Reset procedure, a straightforward formulation is introduced. Assume $\mathcal{B}(p)$ as a multivariate Bernoulli distribution with parameter $p$, and let's propose that $\mathcal{D}$ is an arbitrary distribution used for initializing model weights. At specified intervals (after a certain number of training iterations, except for the last one), a random portion of the weights $W={w^l}$ from selected layers in the neural network undergoes a reset utilizing the following method:
$$
\tilde{w}^l = w^l\cdot (1-m) + \xi\cdot m,
$$
where $\cdot$ operation is an element-wise hadamar type multiplication, $w^l$ are current weights for layer $l$, $\tilde{w}^l$ are reset weights for this layer, $m \sim \mathcal{B}(p^l)$ is a resetting mask, $p^l$ is a resetting rate for a layer $l$, $\xi \sim \mathcal{D}$ are new random weights.

Evidence has indicated that Weight Reset can compete with, and in some instances, surpass traditional regularization techniques.

Given the observable effects of the Weight Reset technique on an increasing number of weights in a model, there's a plausible hypothesis suggesting its potential association with the Double Descent phenomenon.

Source	Growing Cosine Unit: A Novel Oscillatory Activation Function That Can Speedup Training and Reduce Parameters in Convolutional Neural Networks
Year	2000
Data Source	Papers with Code archive (CC BY-SA)