Equation 1 · Training on Your Own Output: Synthetic Data and What It Does to a Distribution
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
the model fitted at generation k , and the fitting procedure. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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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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Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
Let be the model fitted at generation k , and the fitting procedure. The classical collapse setting is
Sources cited in the article section
- [2] Is Model Collapse Inevitable? Breaking the Curse of Recursion by Accumulating Real and Synthetic Data ↗
- [1] AI models collapse when trained on recursively generated data ↗
- [5] Position: Model Collapse Does Not Mean What You Think ↗
These citations give research context. Read each source to check which claims it supports.
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