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Softmax function's 150-year journey from physics to LLMs

The softmax function, a core component in modern AI systems like large language models, has a history spanning 150 years and originating in diverse scientific fields. Initially developed by physicist Ludwig Boltzmann in 1868 to explain the behavior of gas molecules through the principle of maximum entropy, the same mathematical form later emerged independently. It was rediscovered by a psychologist modeling human choice and subsequently by an engineer seeking to produce valid probabilities from neural network scores. This convergence highlights a fundamental mathematical principle that transcends disciplinary boundaries. AI

IMPACT Explains the foundational mathematical principles behind a core component of LLMs and other AI systems.

RANK_REASON The item is a historical and mathematical exploration of the softmax function, not a new release or significant industry event. [lever_c_demoted from research: ic=1 ai=1.0]

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Softmax function's 150-year journey from physics to LLMs

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  1. Towards AI TIER_1 English(EN) · Advika Thakur ·

    A Brief History of Softmax: What It Is, Where It Came From, and How It Became Essential

    <figure><img alt="" src="https://cdn-images-1.medium.com/max/1024/1*nTvk7LEx_cZlJbpmYyS9Xg.png" /></figure><p>You’ve probably seen the softmax function often while working with machine learning, and for good reason. It began as a tool for simple classification tasks, such as deci…