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Equation 8 · Part 2 · One Model, Many Modalities: What Multimodal Systems Actually Share

subscript

viv_i
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

with image embedding uiu_i , text embedding viv_i , and a learned temperature τ\tau . Radford and colleagues showed that this simple pre-training task, applied to 400 million image–text pairs collected from the internet, matched the accuracy of the original ResNet-50 on ImageNet zero-shot without using any of the 1.28 million training examples that network was trained on [ 1 ] . A later variant replaces the softmax with a pairwise sigmoid loss that does not require a global view of the batch’s pairwise similarities for normalisation, and the authors report training a model to 84.5% ImageNet zero-shot accuracy in two days on four TPUv4 chips, while also finding that the benefit of larger batches…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.