Equation 16 · The Real Economics of Shipping a Model to a Device
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the marginal cost of one additional on-device inference and as the marginal cost of one additional cloud-served inference of the same model. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol c_d
the marginal cost of one additional on-device inference and as the marginal cost of one additional cloud-served inference of the same model.
subscript
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.
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What the article says around this equation
This is the same fixed-cost-against-marginal-cost structure that governs any make-versus-buy or capital-versus-operating-expense decision, and it is the structure Qualcomm’s marginal-cost claim silently assumes has already been paid off. Palkhiwala’s statement that an extra inference event is “effectively free” once the device is purchased is a claim about alone; it says nothing about or U , both of which are paid by the model’s operator, not amortized into the price the customer already paid for the phone. Qualcomm’s own public argument for why matters so much elsewhere in this equation is worth pairing with the CFO’s quote: the company’s 2023…
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This is the same fixed-cost-against-marginal-cost structure that governs any make-versus-buy or capital-versus-operating-expense decision, and it is the structure Qualcomm’s marginal-cost claim silently assumes has already been paid off. Palkhiwala’s statement that an extra inference event is “effectively free” once the device is purchased is a claim about alone; it says nothing about or U , both of which are paid by the model’s operator, not amortized into the price the customer already paid for the phone. Qualcomm’s own public argument for why matters so much elsewhere in this equation is worth pairing with the CFO’s quote: the company’s 2023 hybrid-AI position paper states that “generative AI-based search cost per query is estimated to increase by 10 times compared to traditional search methods” [ 9 ] — a claim, again, from a party that benefits from cloud inference looking expensive, but directionally consistent with why - is large enough for the equation above to ever favor the device at all.
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