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BB

This entry links every published equation using this exact notation. Its meaning may change between equations.

Meanings in context

Used in 93 equations

a∗=arg⁡min⁡a∈A Lval(w∗(a), a)subject tog(a)≤B,w∗(a)=arg⁡min⁡w Ltrain(w,a)a^* = \arg\min_{a \in \mathcal{A}} \ \mathcal{L}_{\text{val}}\big(w^*(a),\, a\big) \quad \text{subject to} \quad g(a) \le B, \qquad w^*(a) = \arg\min_{w} \ \mathcal{L}_{\text{train}}(w, a)

Shrink It, Train It Small, or Search for It: The Main Strategies for Small Models, Compared · Equation 19

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

Equation guide → · This term → · Article →
L=−12B∑i=1B[log⁡exp⁡(⟨ui,vi⟩/τ)∑j=1Bexp⁡(⟨ui,vj⟩/τ)+log⁡exp⁡(⟨ui,vi⟩/τ)∑j=1Bexp⁡(⟨uj,vi⟩/τ)],\mathcal{L} = -\frac{1}{2B}\sum_{i=1}^{B}\left[\log\frac{\exp(\langle u_i, v_i\rangle/\tau)}{\sum_{j=1}^{B}\exp(\langle u_i, v_j\rangle/\tau)} + \log\frac{\exp(\langle u_i, v_i\rangle/\tau)}{\sum_{j=1}^{B}\exp(\langle u_j, v_i\rangle/\tau)}\right],

A History of Multimodal AI · Equation 5

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

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A≻B  ⟺  sA≥sB,  cA≤cB,  lA≤lB,  with at least one inequality strict.A \succ B \iff s_A \ge s_B,\ \ c_A \le c_B,\ \ l_A \le l_B,\ \ \text{with at least one inequality strict.}

Why Cost and Latency Belong in the Evaluation Score, Not a Footnote · Equation 12

This equation states a bound: one expression must stay on the indicated side of the other under the article’s assumptions.

Equation guide → · This term → · Article →