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LL

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

Meanings in context

Used in 63 equations

x^=Wdf(x)+bd,f(x)=JumpReLUθ(Wex+be),L(x)=∥x−x^∥22+λ∥f(x)∥0.\hat x = W_d f(x) + b_d, \qquad f(x) = \mathrm{JumpReLU}_\theta\big(W_e x + b_e\big), \qquad \mathcal L(x) = \lVert x - \hat x \rVert_2^2 + \lambda \lVert f(x) \rVert_0.

Probing, Sparse Autoencoders, Patching, and Steering: The Main Interpretability Methods, Compared · Equation 9

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

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Δln⁡L  =  η Δln⁡Y⏟productivity  −  ∫II+ΔIs(x) dx⏟displacement  +  ∫NN+ΔNs(x) dx⏟reinstatement\Delta \ln L \;=\; \underbrace{\eta \, \Delta \ln Y}_{\text{productivity}} \;-\; \underbrace{\int_{I}^{I+\Delta I} s(x)\,dx}_{\text{displacement}} \;+\; \underbrace{\int_{N}^{N+\Delta N} s(x)\,dx}_{\text{reinstatement}}

What the Machine Breakers Actually Wanted · 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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Risk⁡(a)=P(unsafe proposal)⋅P(authorization∣proposal)⋅P(escape detection)⋅L(a),\operatorname{Risk}(a)= P(\text{unsafe proposal}) \cdot P(\text{authorization}\mid\text{proposal}) \cdot P(\text{escape detection}) \cdot L(a),

Ten Failure Modes in Agentic Coding, from Prompt Injection to False Completion · Equation 2

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

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