Geometry of Divergence: Tracking Hidden-State Trajectories for Adaptive Multi-Turn Reasoning
Not assessedPlan blockedMeasurementclaim-table2-top-chains

In the analysis of top-20 three-action chains, the information-acquisition chain Read->Read->Read (ID 1) accounts for 19.6%/22.2% (Correct/Incorrect, Rank #1) in Retail and 17.1%/14.5% (Rank #2) in Airline, while the repetitive output chain Resp->Resp->Resp (ID 2) accounts for 3.6%/8.2% (Rank #5) in Retail and 9.1%/23.6% (Rank #1) in Airline, showing strong error concentration in ungrounded conversational loops.

Source: paper:Page 5, Table 2: Top-20 three-action chains, with correct/incorrect window shares (%) and per-domain frequency rank

Reported and observed measurements

chain_window_share

meas-table2-id1-retail-cor

Reported 19.6 percentage_points

Observed — percentage_points

chain_window_share

meas-table2-id1-retail-inc

Reported 22.2 percentage_points

Observed — percentage_points

chain_window_share

meas-table2-id1-airline-cor

Reported 17.1 percentage_points

Observed — percentage_points

chain_window_share

meas-table2-id1-airline-inc

Reported 14.5 percentage_points

Observed — percentage_points

chain_window_share

meas-table2-id2-retail-cor

Reported 3.6 percentage_points

Observed — percentage_points

chain_window_share

meas-table2-id2-retail-inc

Reported 8.2 percentage_points

Observed — percentage_points

chain_window_share

meas-table2-id2-airline-cor

Reported 9.1 percentage_points

Observed — percentage_points

chain_window_share

meas-table2-id2-airline-inc

Reported 23.6 percentage_points

Observed — percentage_points

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