Agents Index
Last edited: September 9, 2026Lectures
cool thing
https://trafilatura.readthedocs.io/en/latest/
project thoughts
mixture of depth + speculative decoding
Bradley-Terry Preference Model
Last edited: September 9, 2026Suppose you are only observing binary cases, how do we induce Choice Data that are ordered preferences?
The following three statements are equivalent.
Brady Terry For \(u: X \to \qty(0, \infty)\) with
\begin{equation} P\qty( j \succ j’) = \sigma \qty(u_{j} - u_{j’}) \end{equation}
Triangle property for all \(a,b,c\)
\begin{equation} P\qty(j \succ j’) P\qty(j’ \succ j’’) P\qty(j ’’ \succ j) = P\qty(j \succ j’’) P \qty(j’’ \succ j’) P\qty(j’ \succ j) \end{equation}
bradly
Last edited: September 9, 2026Choice Data
Last edited: September 9, 2026Three shapes of how humans express preferences:
accept-reject
constituents
Rater \(i\) sees \(j\), and gives \(y_{ij} \in \qty {1,0}\). (thumbs up or down)
requirements
We can write down this as the following model:
\begin{equation} P\qty(y_{ij} = 1) = \sigma \qty(\theta_{i} - b_{j}) \end{equation}
where \(\theta_{i}\) is some notion, and \(b_{j}\) is how “hard” \(j\) is to like, and \(\sigma\) is sigmoid.
additional information
“test model”
The above model makes an independence assumption, sorta like the .