mirror of
https://github.com/velocitatem/PHANTOM.git
synced 2026-05-31 08:33:36 +00:00
fixing colors
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\scriptsize
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\begin{align*}
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\tau_s &= (e_{s,1},\ldots,e_{s,L_s}) && \text{session} \\
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\hat{q}_{t,i} &= \sum_{s\in S_t}\sum_k \omega(a_{s,k})\,\mathbf{1}[i_{s,k}=i] && \text{proxy }(\humanagentpair) \\
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\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) \\
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Q(p) &= (1-\alpha)\,\mathbb{E}_{\theta\sim D_H}[d(p;\theta)] \\
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&\quad + \alpha\,\mathbb{E}_{\theta\sim D_A}[d(p;\theta)] + \epsilon_t && \text{mixture of }\humanagentmix \\
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&\quad + \alpha\,\mathbb{E}_{\theta\sim D_A}[d(p;\theta)] + \epsilon_t && \text{mixture of }\humanicon/\roboticon \\
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\mathrm{COI}(\pi) &= \mathbb{E}[P]-\underline{p} && \text{COI}
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\end{align*}
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\end{frame}
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@@ -63,7 +63,7 @@
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\hat{q}_{t,i}=\sum_{s\in S_t}\sum_{k=1}^{L_s} \omega(a_{s,k})\,\mathbf{1}[i_{s,k}=i]
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\]
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\begin{alertblock}{Key distinction}
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\(\hat{q}\) 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.
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\(\hat{q}\) 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.
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\end{alertblock}
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\end{frame}
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