fixing colors

This commit is contained in:
2026-05-12 12:47:41 +02:00
parent 0b1f59e49f
commit 628ffdc464
4 changed files with 731 additions and 525 deletions

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@@ -30,9 +30,9 @@
\scriptsize
\begin{align*}
\tau_s &= (e_{s,1},\ldots,e_{s,L_s}) && \text{session} \\
\hat{q}_{t,i} &= \sum_{s\in S_t}\sum_k \omega(a_{s,k})\,\mathbf{1}[i_{s,k}=i] && \text{proxy }(\humanagentpair) \\
\hat{q}_{t,i} &= \sum_{s\in S_t}\sum_k \omega(a_{s,k})\,\mathbf{1}[i_{s,k}=i] && \text{proxy }(\humanicon, \roboticon) \\
Q(p) &= (1-\alpha)\,\mathbb{E}_{\theta\sim D_H}[d(p;\theta)] \\
&\quad + \alpha\,\mathbb{E}_{\theta\sim D_A}[d(p;\theta)] + \epsilon_t && \text{mixture of }\humanagentmix \\
&\quad + \alpha\,\mathbb{E}_{\theta\sim D_A}[d(p;\theta)] + \epsilon_t && \text{mixture of }\humanicon/\roboticon \\
\mathrm{COI}(\pi) &= \mathbb{E}[P]-\underline{p} && \text{COI}
\end{align*}
\end{frame}
@@ -63,7 +63,7 @@
\hat{q}_{t,i}=\sum_{s\in S_t}\sum_{k=1}^{L_s} \omega(a_{s,k})\,\mathbf{1}[i_{s,k}=i]
\]
\begin{alertblock}{Key distinction}
\(\hat{q}\) is an operational sensor from logs (\humanagentpair); true demand \(d(p;\theta)\) stays latent. Pricing reacts to \(\hat{q}\), so agent-shaped behavior can poison the signal.
\(\hat{q}\) is an operational sensor from logs (\humanicon, \roboticon); true demand \(d(p;\theta)\) stays latent. Pricing reacts to \(\hat{q}\), so agent-shaped behavior can poison the signal.
\end{alertblock}
\end{frame}