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mlnomadpy | 7 months ago

hello everyone, am taha,

I was able to create a new kernel that allows you to learn non-linearity without using activation functions, making the models whitebox, and without any information loss.

MiniGPT with huggingface datasets streaming: https://www.kaggle.com/code/skywolfmo/yat-nnx-minigpt-finewe...

discuss

order

rytill|7 months ago

Why would one have motivation to not use activation functions?

To my knowledge they’re a negligible portion of the total compute during training or inference and work well to provide non-linearity.

Very open to learning more.

russfink|7 months ago

One reason might be expressing the constructs in a different domain, eg homomorphic encrypted evaluators.

mlnomadpy|6 months ago

they are one of the reasons neural networks are blackbox, we lose information about the data manifold the deeper we go in the network, making it impossible to trace back the output

this preprint is not coming from a standpoint of optimizing the inference/compute, but from trying to create models that we can interpret in the future and control

julius|7 months ago

Less information loss -> Less params? Please correct me if I got this wrong. The Intro claims:

"The dot product itself is a geometrically impoverished measure, primarily capturing alignment while conflating magnitude with direction and often obscuring more complex structural and spatial relationships [10, 11, 4, 61, 17]. Furthermore, the way current activation functions achieve non-linearity can exacerbate this issue. For instance, ReLU (f (x) = max(0, x)) maps all negative pre-activations, which can signify a spectrum of relationships from weak dissimilarity to strong anti-alignment, to a single zero output. This thresholding, while promoting sparsity, means the network treats diverse inputs as uniformly orthogonal or linearly independent for onward signal propagation. Such a coarse-graining of geometric relationships leads to a tangible loss of information regarding the degree and nature of anti-alignment or other neg- ative linear dependencies. This information loss, coupled with the inherent limitations of the dot product, highlights a fundamental challenge."