Symbol L_seq
eq is part of the quantity the equation computes from the expression on the right.
Read this term in its guide →Published equation contexts
Why this formula appears here
Meta’s Chameleon commits to the same principle at a much larger scale and is candid that stability, not capability, was the hard engineering problem. It describes itself as “a family of early-fusion token-based mixed-modal models” that interleaves image and text tokens in one sequence, generating either kind at any position, and its authors state directly that this “requires a stable training approach from inception, an alignment recipe, and an architectural parameterization tailored for the early-fusion, token-based, mixed-modal setting” [ 7 ] . The paper documents the failure mode this addresses concretely: without a query-key normalisation step controlling the growth of attention logits,…
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Symbol t
t appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.
Read this term in its guide →Symbol T
T appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.
Read this term in its guide →Symbol p_θ
p_θ is one of the signed contributions combined to compute the quantity on the left.
Read this term in its guide →Symbol z_<t
z_<t is one of the signed contributions combined to compute the quantity on the left.
Read this term in its guide →Symbol V
V is one of the signed contributions combined to compute the quantity on the left.
Read this term in its guide →Starting index or lower bound: t=1
This label says where the repeated addition, multiplication, or accumulation starts. Read its value or condition together with the article’s description of the index.
Read this term in its guide →Ending index or upper bound: T
This label says where the repeated addition, multiplication, or accumulation stops. It sets the last term or end of the range.
Read this term in its guide →How to interpret it
Read it with the definitions, units, and assumptions supplied by the article.
Research cited beside this formula
Published contexts (1)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 9 · Foundation Models
Adapters, Native Pretraining, and Unified Tokens: The Main Multimodal Architectures, Compared
This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.
Meta’s Chameleon commits to the same principle at a much larger scale and is candid that stability, not capability, was the hard engineering problem. It describes itself as “a family of early-fusion token-based mixed-modal models” that interleaves image and text tokens in one sequence, generating either kind at any position, and its authors state directly that this “requires a stable training approach from inception, an alignment recipe, and an architectural parameterization tailored for the early-fusion, token-based, mixed-modal setting” [ 7 ] . The paper documents the failure mode this addresses concretely: without a query-key normalisation step controlling the growth of attention logits,…