Cross-Prompt Reuse of Entity-Replacement Responses
Organizations: Dalhousie University Halifax, Canada · Meta
Abstract
With model weights fixed, we measure how much of an entity-replacement response transfers between English factual questions, beyond whether answers change. We add the hidden-state change from two source questions to a target question about the same entity, comparing the predicted log-probability shift between two relations' published answers, given known answer prefixes, with the measured one. Hidden reuse injects the aligned change at 50% depth before the target's remaining layers; direct reuse adds source output-score changes. With other-relation sources, hidden reuse removes 45% and 49% of no-change error on 0.5-1B Qwen and Llama. Gemma-2-2B removes 22% and passes one of three comparisons in plain text without its default beginning-of-sequence (BOS) token. A later protocol restoring it yields 58-68%, passing every comparison on three cohorts. Larger checkpoints, chat format and new entities show replication and format- or cohort-dependent failures. On small plain-format checkpoints, other-relation hidden reuse mainly reproduces the shift both relations' questions share, without reliably lowering relation-selective error. With target-relation sources, hidden reuse's post hoc advantage over direct reuse is 0.2-0.9 nats outside chat format, unconfirmed and not replacement-specific. The same relation-neutral change at both questions' entity tokens lowers relation-selective error more than random or other-replacement changes, indicating receiving-question dependence.
Figures & tables
| Study | Material | Blocks | Tests | Pass | Lost | Main result |
| Answer confirmation | new | 35 | 9 | 7 | 3 | 45/49/22% of no-change error removed |
| Larger checkpoints | reused | 35 | 9 | 7 | 0 | 51/46/14% removed |
| Chat format | reused | 35 | 18 | 18 | 4 | All comparisons pass, Gemma’s included |
| First fresh cohort | new | 33 | 20 | 14 | 4 | 7–8B selectivity tests pass in family; Gemma passes none |
| BOS token | both | 99 | 18 | 18 | 0 | Gemma passes every comparison |
| Second fresh cohort | new | 31 | 38 | 14 | 3 | Matched-route test fails on all six |
| Source relation: | Other | Target | Other | |||
|---|---|---|---|---|---|---|
| Metric: | Overall % (passes) | Gap/nats | Sel. % | |||
| Model | Input | Orig. | Fresh 1 | Fresh 2 | chat: 35 | Orig. |
| Qwen 0.5B | plain | 45 (3) | 42 (3) | 38 (2) | 0.32 | 8.7 |
| chat | 43 (3) | – | – | 0.63 | 21.8 | |
| Llama 1B | plain | 49 (3) | 50 (3) | 40 (1) | 0.24 | 11.4 |
| +BOS | 57 (–) | 66 (–) | 57 (–) | 0.20 | 8.3 | |
| Checkpoint | Best | Span | Gain [95% interval] |
|---|---|---|---|
| Qwen 0.5B | 13.3 | 47.3 | 0.85 ∗ [0.33, 1.62] |
| Llama 1B | 38.3 | 65.3 | 0.66 ∗ [0.35, 1.05] |
| Gemma 2B | 42.1 | 65.2 | 0.82 ∗ [0.41, 1.25] |
| Qwen 7B | 29.9 | 48.5 | 1.38 ∗† [0.18, 2.50] |
| Llama 8B | 45.1 | 55.5 | 0.48 [ 0.11, 1.10] |
| Gemma 9B | 48.1 | 69.8 | 1.09 ∗ [0.50, 1.77] |
Appendix figures & tables36 assets
Supplementary material from the paper’s appendix.
Appendix
| Term | Meaning |
|---|---|
| Replacement | Swapping the original entity for an entity with the same token length in a question |
| Replacement response | Hidden-state or output-score difference between the replaced and original question (Equation 1 ) |
| Source, target | Questions whose recorded responses are reused; the question whose response is predicted |
| Hidden reuse | Aligned, weighted source hidden responses added at 50% depth and continued through the target’s remaining layers |
| Direct (output) reuse | Weighted source output-score changes added to the target’s unedited scores |
| Zero prediction | Predicts no change; its answer error, the zero or no-change error, is the size of the observed change |
| Relation label | Role | Published question |
|---|---|---|
| developer | Source 1 | By whom was developed? |
| developer | Source 2 | Which company developed ? |
| developer | Target | What is the name of ’s developer? |
| programming language | Source 1 | What is the programming language for ? |
| programming language | Source 2 | What programming language was used to write ? |
| programming language | Target | Which programming language is written in? |
| Study | Role | Main result | Targets | Units |
|---|---|---|---|---|
| Single-token comparisons | Pre-spec. | Identity contrasts recur; derivative contrasts inconclusive | 64 | 10 components |
| Multi-token comparisons | Pre-spec. | Finite sources beat local derivatives | 184 | 45 components |
| Replacement/relation crossing | Pre-spec. | Same beats different replacement in 40 of 40 blocks | 160 | 40 blocks |
| Native amplitude | Pre-spec. | Route gain largely not replacement-specific | 144 | 36 blocks |
| Prediction | Qwen | Llama | Gemma |
|---|---|---|---|
| (a) Small checkpoints | |||
| Zero | 2.869 | 2.821 | |
| Same, direct | 2.923 | 1.887 | 2.858 |
| Same, hidden | 1.572 | 1.427 | 2.298 |
| Different, hidden | 3.269 | 3.059 | |
| Share removed, direct | % | 33% | 3% |
| Model | Baseline | Mean | 95% interval | Signs | |
|---|---|---|---|---|---|
| Qwen | Output | 1.351 | [0.882, 1.840] | 30/5/0 | |
| Qwen | Zero | 1.297 | [0.655, 2.073] | 28/7/0 | |
| Qwen | Different hidden | 1.696 | [1.107, 2.448] | 29/6/0 | |
| Llama | Output | 0.459 | [0.163, 0.767] | 27/8/0 | |
| Llama | Zero | 1.393 | [0.649, 2.295] | 26/9/0 | |
| Llama | Different hidden | 1.632 | [0.875, 2.570] | 30/5/0 |
| Source | Model | Route | Slope [95%] | Intercept [95%] | Bias [95%] |
|---|---|---|---|---|---|
| Other | Qwen | Hidden | 0.900 [0.622, 1.046] | 0.421 [0.047, 0.899] | 0.440 [ 0.975, 0.048] |
| Other | Qwen | Output | 0.460 [0.130, 0.700] | 0.509 [ 0.131, 1.160] | 0.812 [ 1.905, 0.111] |
| Other | Llama | Hidden | 0.945 [0.787, 1.016] | 0.273 [ 0.012, 0.553] | 0.271 [ 0.556, 0.026] |
| Other | Llama | Output | 0.870 [0.667, 0.958] | 0.552 [0.078, 1.043] | 0.589 [ 1.102, 0.092] |
| Other | Gemma | Hidden | 0.728 [0.560, 0.823] | 0.243 [ 0.183, 0.701] | 0.253 [ 0.781, 0.249] |
| Other | Gemma | Output | 0.548 [0.218, 0.779] | 0.253 [ 0.285, 0.748] | 0.283 [ 0.936, 0.365] |
| Source | Model | [95%] |
|---|---|---|
| Other | Qwen | 0.249 [0.117, 0.415] |
| Other | Llama | 0.063 [0.017, 0.155] |
| Other | Gemma | 0.249 [0.139, 0.410] |
| Target | Qwen | 0.053 [0.013, 0.127] |
| Target | Llama | 0.023 [ 0.008, 0.070] |
| Target | Gemma | 0.150 [0.055, 0.277] |
| Checkpoint | Qwen 0.5B | Llama 1B | Gemma 2B | Qwen 7B | Llama 8B | Gemma 9B |
|---|---|---|---|---|---|---|
| Selective share | 20.6 | 8.7 | 19.1 | 38.3 | 23.5 | 33.3 |
| Source | Model | Prediction | MAE s | MAE h | ||
|---|---|---|---|---|---|---|
| Other | Qwen | Same/hidden | 0.300 | 0.917 | 1.181 | 1.076 |
| Other | Qwen | Same/output | 0.499 | 0.885 | 2.538 | 1.508 |
| Other | Qwen | Different/hidden | 0.036 | 0.138 | 1.499 | 2.785 |
| Other | Qwen | Different/output | 0.017 | 0.039 | 2.057 | 3.154 |
| Other | Qwen | Zero | — | — | 1.293 | 2.571 |
| Other | Llama | Same/hidden | 0.539 | 0.938 | 1.021 | 1.046 |
| Endpoint or prediction | Qwen | Llama | Gemma |
|---|---|---|---|
| Unedited target | 5.689 [ 6.980, 4.429] | 4.607 [ 5.380, 3.568] | 8.390 [ 11.532, 6.821] |
| Replaced target | 5.744 [ 7.164, 4.195] | 4.570 [ 5.620, 3.421] | 8.397 [ 11.195, 6.965] |
| Same/hidden, other | 5.625 [ 7.149, 4.371] | 4.601 [ 5.411, 3.350] | 8.387 [ 11.252, 6.895] |
| Same/output, other | 5.866 [ 7.399, 4.494] | 4.609 [ 5.528, 3.354] | 8.692 [ 11.158, 6.849] |
| Different/hidden, other | 5.954 [ 7.217, 4.466] | 4.609 [ 5.553, 3.515] | 8.542 [ 11.021, 6.656] |
| Different/output, other | 6.195 [ 7.879, 4.892] | 4.875 [ 5.983, 3.864] | 8.873 [ 11.430, 6.872] |
| Original | First fresh | Second fresh | All 99 blocks | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Model | Input | Med. | No ov. | Med. | No ov. | Med. | No ov. | Share | Med. | No ov. |
| Qwen 0.5B | plain | 35.1 | 35.3 | 32.3 | 40.0 | 30.2 | 35.7 | 41.9 [31.8, 50.5] | 32.3 [22.5, 47.4] | 37.1 |
| chat | 44.8 | 42.1 | – | – | – | – | – | – | – | |
| Llama 1B | plain | 39.9 | 46.1 | 47.2 | 48.5 | 11.7 | 32.7 | 46.9 [38.0, 54.6] | 39.9 [29.8, 46.8] | 43.4 |
| +BOS | 46.2 | 52.4 | 64.8 | 63.5 | 52.7 | 56.6 | 59.7 [52.9, 65.6] | 55.7 [46.2, 62.6] | 57.7 | |
| chat | 52.9 | 53.8 | – | – | – | – | – | – | – | |
| Sources | Model | Input | Unscaled | Rescaled | Interaction |
|---|---|---|---|---|---|
| Other relation | Qwen 0.5B | plain | 1.14 [0.80, 1.52] | 0.74 [0.47, 1.04] | 0.45 [0.07, 0.86] |
| Llama 1B | plain | 0.61 [0.41, 0.82] | 0.50 [0.32, 0.69] | 0.34 [ 0.77, 0.05] | |
| Gemma 2B | plain | 0.20 [ 0.10, 0.51] | 0.13 [ 0.07, 0.32] | 0.22 [ 0.56, 0.10] | |
| Qwen 7B | plain | 4.80 [3.82, 5.79] | 2.93 [2.26, 3.59] | 1.89 [0.69, 3.05] | |
| Llama 8B | plain | 2.84 [2.23, 3.48] | 1.75 [1.37, 2.15] | 0.57 [ 0.10, 1.22] | |
| Gemma 9B | plain | 0.40 [0.09, 0.74] | 0.09 [ 0.13, 0.32] | 0.21 [ 0.67, 0.23] |
| Checkpoint | Versus direct | Versus zero | Versus different hidden |
|---|---|---|---|
| Qwen 0.5B | 22/5; | 20/7; 0.038 | 22/5; |
| Llama 1B | 22/5; | 21/6; 0.015 | 24/3; |
| Gemma 2B | 19/8; 0.078 | 13/14; 0.701 | 15/12; 0.701 |
| Qwen 7B | 24/3; | 26/1; | 24/3; |
| Llama 8B | 25/2; | 22/5; | 24/3; |
| Gemma 9B | 16/11; 0.248 | 17/10; 0.248 | 22/5; |
| Checkpoint | Mean gain in nats [95%] | Fav. [95%] |
|---|---|---|
| (a) Other-relation versus neutral sources, plain format | ||
| Qwen 0.5B | 0.39 [0.10, 0.69] | 0.70 [0.52, 0.85] |
| Llama 1B | 0.45 [0.12, 0.84] | 0.66 [0.47, 0.82] |
| Gemma 2B | 0.06 [ 0.32, 0.48] | 0.52 [0.33, 0.70] |
| Qwen 7B | 0.44 [ 0.28, 1.18] | 0.57 [0.40, 0.72] |
| Llama 8B | 0.24 [ 0.11, 0.57] | 0.63 [0.45, 0.78] |
| Checkpoint | Input | Other gap | Target gap [95%] | Target Fav. [95%] |
|---|---|---|---|---|
| Qwen 0.5B | plain | 1.21 | 0.32 [0.10, 0.56] | 0.64 [0.48, 0.79] |
| Llama 1B | plain | 0.55 | 0.24 [0.03, 0.45] | 0.69 [0.51, 0.84] |
| Gemma 2B | plain | 0.33 | 0.29 [ 0.09, 0.66] | 0.58 [0.41, 0.73] |
| Qwen 7B | plain | 5.05 | 0.90 [0.18, 1.56] | 0.70 [0.53, 0.84] |
| Llama 8B | plain | 2.70 | 0.40 [0.17, 0.65] | 0.73 [0.56, 0.87] |
| Gemma 9B | plain | 0.57 | 0.45 [0.09, 0.87] | 0.61 [0.44, 0.77] |
| Checkpoint | Baseline | Signs | Gain | |
|---|---|---|---|---|
| Qwen 7B | Direct reuse | 32/3 | 5.523 | |
| Qwen 7B | Zero | 33/2 | 3.573 | |
| Qwen 7B | Different | 32/3 | 3.577 | |
| Llama 8B | Direct reuse | 32/3 | 2.434 | |
| Llama 8B | Zero | 30/5 | 1.803 | |
| Llama 8B | Different | 32/3 | 1.728 |
| Over direct reuse | Over zero | Over different | |||||||
| Checkpoint | Signs | Gain | Signs | Gain | Signs | Gain | |||
| Chat format, small checkpoints | |||||||||
| Qwen 0.5B | 29/6 | 1.92 | 30/5 | 1.83 | 27/8 | 2.03 | |||
| Llama 1B | 30/5 | 2.14 | 32/3 | 2.44 | 34/1 | 3.43 | |||
| Gemma 2B | 32/3 | 4.24 | 33/2 | 2.97 | 33/2 | 3.54 | |||
| Chat format, larger checkpoints | |||||||||
| Over direct reuse | Over zero | Over different | |||||||
| Checkpoint | Signs | Gain | Signs | Gain | Signs | Gain | |||
| Plain+BOS, original blocks (35 blocks) | |||||||||
| Gemma 2B | 32/3 | 1.63 | 35/0 | 2.92 | 32/3 | 2.93 | |||
| Gemma 9B | 34/1 | 4.08 | 34/1 | 3.00 | 35/0 | 3.20 | |||
| Plain+BOS, first fresh cohort (33 blocks) | |||||||||
| Gemma 2B | 30/3 | 2.21 | 31/2 | 2.35 | 29/4 | 2.16 | |||
| Other over neutral | Neutral over zero | Matched route | |||||||
|---|---|---|---|---|---|---|---|---|---|
| Checkpoint | Signs | Gain | Signs | Gain | Signs | Gain | |||
| Qwen 0.5B | 21/10 | 0.40 | 0.142 † | 19/12 | 0.54 | 0.422 † | 21/10 | 0.38 | 0.212 † |
| Llama 1B | 22/9 | 0.45 | 0.088 † | 19/12 | 0.43 | 0.422 † | 19/12 | 0.18 | 0.422 † |
| Gemma 2B | 22/9 | 0.47 | 0.088 † | 19/12 | 0.03 | 0.422 † | 14/17 | 0.07 | 0.763 † |
| Qwen 7B | 18/13 | 0.35 | 0.710 † | 26/5 | 3.30 | 21/10 | 0.41 | 0.212 † | |
| Llama 8B | 19/12 | 0.22 | 0.562 † | 25/6 | 1.91 | 0.002 | 21/10 | 0.34 | 0.212 † |
| Checkpoint | Cohort | Zero error | Mass | Share | Selective | New first | Signs, plain+BOS |
|---|---|---|---|---|---|---|---|
| Llama 1B | Original | 2.82 / 2.81 | 4.61 / 4.61 | 49.4 / 56.5 | 11.4 / 8.3 | 82 / 76 | 27/8, 31/4, 31/4 |
| First fresh | 2.63 / 2.62 | 4.86 / 4.76 | 50.0 / 66.0 | 21.2 / 41.4 | 65 / 66 | 29/4, 30/3, 31/2 | |
| Second fresh | 2.22 / 2.25 | 4.39 / 4.44 | 39.6 / 56.5 | 0.4 / 18.4 | 52 / 60 | 28/3, 28/3, 29/2 | |
| Gemma 2B | Original | 2.96 / 4.31 | 8.39 / 4.53 | 22.4 / 67.8 | 9.8 / 35.9 | 42 / 91 | 32/3, 35/0, 32/3 |
| First fresh | 2.53 / 3.63 | 8.97 / 4.31 | 2.1 / 64.6 | 32.9 / 52.0 | 36 / 83 | 30/3, 31/2, 29/4 | |
| Second fresh | 2.49 / 3.45 | 8.25 / 4.16 | 17.8 / 57.6 | 8.8 / 40.0 | 38 / 74 | 29/2, 28/3, 30/1 |
| Checkpoint | Push | Hidden | Same | Diff. | Same over different | |
| Original blocks, plain format | ||||||
| Qwen 0.5B | 52.9 | 11/9 | 19/16 | 8.7 [ 13.5, 28.9] | 15.9 [ 32.9, 1.7] | 0.32 [0.01, 0.63] 21/14 |
| Llama 1B | 58.6 | 15/9 | 14/21 | 11.4 [ 42.7, 9.9] | 22.6 [ 46.9, 3.2] | 0.10 [ 0.10, 0.32] 17/18 |
| Gemma 2B | 50.0 | 8/8 | 14/21 | 9.8 [ 33.9, 10.3] | 11.2 [ 28.1, 3.8] | 0.02 [ 0.31, 0.36] 19/16 |
| Qwen 7B | 62.9 | 15/6 | 27/8 | 50.2 [36.8, 60.8] | 3.5 [ 16.8, 20.2] | 2.16 [1.28, 3.06] 27/8 |
| Llama 8B | 74.3 | 22/5 | 23/12 | 19.7 [1.5, 34.2] | 10.5 [ 28.3, 3.0] | 0.65 [0.31, 1.00] 28/7 |
| Test | Family | Pooled (223) |
|---|---|---|
| Single-token: Qwen same over different replacement | 0.012 | 0.081 |
| Single-token: Llama same over different replacement | 0.012 | 0.081 |
| Single-token: Gemma same over different replacement | 0.012 | 0.081 |
| Answer study, small, plain: Llama 1B over direct reuse | 0.005 | 0.081 |
| Answer study, small, plain: Llama 1B over zero | 0.012 | 0.225 |
| Answer study, small, plain: Gemma 2B over direct reuse | 0.025 | 0.592 |
| Checkpoint | Construction | 0 | 1/8 | 1/4 | 3/8 | 1/2 | 5/8 | 3/4 | 7/8 | 1 | Direct |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Qwen 0.5B | Exact, all rows | 100.0 | 77.2 | 66.2 | 56.2 | 52.7 | 45.2 | 35.1 | 21.9 | 1.9 | 1.9 |
| Exact, entity rows | 100.0 | 75.5 | 47.3 | 37.3 | 35.9 | 26.9 | 9.6 | 5.0 | 0.0 | ||
| Exact, post-entity rows | 0.0 | 1.4 | 3.1 | 3.1 | 2.4 | 4.5 | 17.8 | 19.7 | 1.9 | ||
| Target relation, all rows | 100.0 | 81.2 | 72.1 | 69.8 | 62.4 | 57.3 | 52.3 | 47.6 | 45.1 | ||
| Own entity-row change | 100.0 | 85.0 | 54.9 | 48.2 | 40.9 | 25.7 | 8.6 | 4.2 | 0.0 | ||
| Own post-entity change | 0.0 | 1.0 | 11.1 | 10.3 | 7.0 | 15.7 | 41.3 | 63.7 | 100.0 |
| Checkpoint | Oth. all | Oth. EQ | Oth. E | Oth. QA | Tgt. all | Tgt. E | Tgt. QA | Neu. all | Neu. E | Own E | All over E | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Qwen 0.5B | 1/4 | 66.2 | 49.8 | 47.3 | 3.1 | 72.1 | 49.8 | 6.6 | 60.9 | 47.9 | 54.9 | 0.64 [0.34, 1.02] |
| 1/2 | 52.7 | 36.5 | 35.9 | 2.4 | 62.4 | 35.3 | 0.6 | 45.1 | 35.1 | 40.9 | 0.78 [0.39, 1.20] | |
| Llama 1B | 1/4 | 72.9 | 59.3 | 59.3 | 7.8 | 80.5 | 63.1 | 8.3 | 72.8 | 60.7 | 67.7 | 0.49 [0.28, 0.74] |
| 1/2 | 63.3 | 43.3 | 40.7 | 10.4 | 75.4 | 40.2 | 15.4 | 54.1 | 39.4 | 42.4 | 0.99 [0.61, 1.41] | |
| Gemma 2B | 1/4 | 80.8 | 76.9 | 75.8 | 3.8 | 86.2 | 76.0 | 4.8 | 81.3 | 75.4 | 79.5 | 0.44 [0.27, 0.62] |
| 1/2 | 69.8 | 58.7 | 52.9 | 14.6 | 79.1 | 53.5 | 17.4 | 70.4 | 51.4 | 57.4 | 1.10 [0.78, 1.45] |
| Interp. | Span all | Span E | Repl. E | Vec. E | Vec. later | Tgt. all | Dir. oth. | Dir. tgt. | Clean | |
| KL recovery | ||||||||||
| Qwen 0.5B | 88 | 91 | 89 | 89 | 42 | 42 | 92 | 44 | 80 | – |
| Llama 1B | 97 | 98 | 97 | 97 | 25 | 6 | 98 | 87 | 93 | – |
| Gemma 2B | 94 | 95 | 93 | 93 | 45 | 14 | 97 | 67 | 88 | – |
| Qwen 7B | 94 | 95 | 94 | 94 | 32 | 33 | 96 | 76 | 88 | – |
| Llama 8B | 94 | 95 | 91 | 92 | 38 | 36 | 97 | 72 | 90 | – |
| Exact | In set | Contains | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Checkpoint | Changed | Span oth. | Span tgt. | Repl. | Vec. | Clean | Edited | Edited | Span oth. | Vec. | Clean |
| Qwen 0.5B | 96 | 18 | 18 | 17 | 2 | 7 | 6 | 11 (42) | 81 | 29 | 31 |
| Llama 1B | 100 | 5 | 5 | 5 | 0 | 0 | 0 | 15 (60) | 28 | 32 | 27 |
| Gemma 2B | 96 | 17 | 21 | 14 | 3 | 6 | 7 | 21 (82) | 66 | 29 | 21 |
| Qwen 7B | 98 | 6 | 7 | 5 | 1 | 4 | 4 | 18 (72) | 43 | 28 | 14 |
| Llama 8B | 98 | 10 | 11 | 8 | 4 | 7 | 9 | 39 (154) | 46 | 38 | 19 |
| Checkpoint | D1a | D1b | D1c | D2a | D2b |
|---|---|---|---|---|---|
| Qwen 0.5B | 99/0, 7.61, 0.001 | 55/44, 0.06, 1.000 | 50/14, 0.85, 0.001 | 71/28, 0.40, 0.001 | 41/58, 0.10, 1.000 |
| Llama 1B | 97/2, 6.76, 0.001 | 50/49, 0.01, 1.000 | 51/13, 0.67, 0.001 | 60/39, 0.16, 0.022 † | 72/27, 0.92, 0.001 |
| Gemma 2B | 99/0, 6.50, 0.001 | 43/56, 0.06, 1.000 | 51/13, 0.77, 0.001 | 78/21, 0.75, 0.001 | 46/53, 0.03, 1.000 |
| Qwen 7B | 97/2, 7.26, 0.001 | 51/48, 0.01, 1.000 | 42/22, 1.06, 0.034 † | 68/31, 1.69, 0.001 | 45/54, 0.11, 1.000 |
| Llama 8B | 95/4, 6.04, 0.001 | 43/56, 0.05, 1.000 | 42/22, 0.87, 0.034 † | 69/30, 0.74, 0.001 | 76/23, 1.39, 0.001 |
| Gemma 9B | 96/3, 5.26, 0.001 | 56/43, 0.01, 1.000 | 52/12, 1.09, 0.001 | 83/16, 1.29, 0.001 | 34/65, 0.62, 1.000 |
| Checkpoint | E1 | E2 | E3 | E4 |
|---|---|---|---|---|
| Qwen 0.5B | 38/26, 0.13, 0.253 | 50/14, 0.85, 0.001 | 42/57, 0.08, 0.954 | 48/51, 0.20, 0.656 |
| Llama 1B | 44/20, 0.45, 0.007 † | 51/13, 0.66, 0.001 | 47/52, 0.04, 1.000 | 66/33, 0.54, 0.001 † |
| Gemma 2B | 37/27, 0.53, 0.253 | 51/13, 0.82, 0.001 | 56/43, 0.04, 1.000 | 76/23, 1.65, 0.001 |
| Qwen 7B | 38/26, 0.97, 0.253 | 45/19, 1.38, 0.003 † | 51/48, 0.07, 1.000 | 72/27, 2.12, 0.001 |
| Llama 8B | 45/19, 1.47, 0.004 † | 38/26, 0.48, 0.169 | 46/53, 0.03, 1.000 | 81/18, 1.79, 0.001 |
| Gemma 9B | 49/15, 2.05, 0.001 | 52/12, 1.09, 0.001 | 47/52, 0.06, 1.000 | 81/18, 2.21, 0.001 |
| E1 | E2 | E3 | E4 | |||||
| Checkpoint | Within | Labels | Within | Labels | Within | Labels | Within | Labels |
| Qwen 0.5B | [0.00, 0.27] | [ 0.10, 0.37] | [0.53, 1.23] | [0.33, 1.62] | [ 0.15, 0.02] | [ 0.19, 0.03] | [ 0.08, 0.50] | [ 0.31, 0.79] |
| Llama 1B | [0.21, 0.69] | [0.08, 0.87] | [0.45, 0.88] | [0.35, 1.05] | [ 0.10, 0.01] | [ 0.14, 0.04] | [0.27, 0.81] | [0.12, 0.99] |
| Gemma 2B | [0.01, 1.05] | [ 0.34, 1.41] | [0.57, 1.07] | [0.41, 1.25] | [ 0.03, 0.12] | [ 0.09, 0.18] | [1.24, 2.08] | [0.93, 2.49] |
| Qwen 7B | [0.13, 1.80] | [ 0.53, 2.45] | [0.69, 2.05] | [0.18, 2.50] | [ 0.11, 0.24] | [ 0.24, 0.37] | [1.55, 2.70] | [1.15, 3.16] |
| Llama 8B | [0.88, 2.10] | [0.46, 2.57] | [0.16, 0.80] | [ 0.11, 1.10] | [ 0.09, 0.02] | [ 0.13, 0.05] | [1.35, 2.24] | [1.00, 2.66] |
| Checkpoint | KO-E | KO-E first half | KO-E second half | KO-Q | KO-P | KO-PQ | Shift |
|---|---|---|---|---|---|---|---|
| Qwen 0.5B | 0.03/0.03/0.03 | 0.50/0.51/0.45 | 0.60/0.62/0.59 | 0.77/0.78/0.77 | 0.65/0.60/0.64 | 0.14/ 0.09/0.15 | 1.72 |
| Llama 1B | 0.12/0.12/0.11 | 0.42/0.44/0.42 | 0.73/0.71/0.72 | 0.97/0.96/0.96 | 0.94/0.93/0.94 | 0.91/0.90/0.90 | 1.21 |
| Gemma 2B | 0.55/0.54/0.55 | 0.69/0.69/0.67 | 0.90/0.90/0.90 | 0.61/0.61/0.60 | 1.00/1.00/0.99 | 0.54/0.53/0.53 | 1.07 |
| Qwen 7B | 0.15/0.12/0.11 | 0.66/0.62/0.58 | 0.56/0.59/0.56 | 0.58/0.59/0.59 | 0.74/0.75/0.74 | 0.11/0.16/0.23 | 3.89 |
| Llama 8B | 0.11/0.12/0.12 | 0.14/0.16/0.15 | 0.95/0.93/0.93 | 1.01/1.00/1.00 | 0.97/0.96/0.97 | 0.93/0.92/0.93 | 1.38 |
| Gemma 9B | 0.70/0.71/0.69 | 0.78/0.78/0.78 | 0.95/0.95/0.94 | 0.69/0.67/0.67 | 0.99/1.00/0.99 | 0.47/0.46/0.48 | 0.98 |
| Checkpoint | G1 | G2 |
|---|---|---|
| Qwen 0.5B | 74/25, 0.42, 0.001 | 71/28, 0.46, 0.001 |
| Llama 1B | 61/38, 0.15, 0.013 † | 64/35, 0.21, 0.002 † |
| Gemma 2B | 81/18, 0.70, 0.001 | 75/24, 0.77, 0.001 |
| Qwen 7B | 75/24, 1.54, 0.001 | 68/31, 1.47, 0.001 |
| Llama 8B | 70/29, 0.67, 0.001 | 68/31, 0.64, 0.001 |
| Gemma 9B | 81/18, 1.25, 0.001 | 84/15, 1.19, 0.001 |
| G1 | G2 | |||||
|---|---|---|---|---|---|---|
| Checkpoint | Within | Labels | Fav. | Within | Labels | Fav. |
| Qwen 0.5B | [0.29, 0.57] | [0.17, 0.70] | 0.75 [0.59, 0.88] | [0.31, 0.62] | [0.17, 0.76] | 0.72 [0.52, 0.88] |
| Llama 1B | [0.05, 0.25] | [ 0.02, 0.34] | 0.62 [0.44, 0.77] † | [0.10, 0.33] | [0.01, 0.42] | 0.65 [0.48, 0.80] † |
| Gemma 2B | [0.51, 0.90] | [0.36, 1.09] | 0.82 [0.66, 0.94] | [0.56, 1.00] | [0.40, 1.20] | 0.76 [0.59, 0.89] |
| Qwen 7B | [1.12, 1.96] | [0.76, 2.37] | 0.76 [0.58, 0.90] | [1.02, 1.93] | [0.67, 2.35] | 0.69 [0.51, 0.84] |
| Llama 8B | [0.44, 0.91] | [0.30, 1.10] | 0.71 [0.55, 0.85] | [0.43, 0.86] | [0.27, 1.06] | 0.69 [0.49, 0.86] † |
| Checkpoint | NEU | DR | DRN | RND | RND labels | RND draws |
|---|---|---|---|---|---|---|
| Qwen 0.5B | 0.40 [0.26, 0.56] | 0.06 [ 0.17, 0.04] | 0.05 [ 0.17, 0.06] | 0.02 [ 0.09, 0.04] | [ 0.15, 0.11] | 0.10 to 0.05 |
| Llama 1B | 0.16 [0.06, 0.27] | 0.05 [ 0.12, 0.02] | 0.06 [ 0.14, 0.02] | 0.01 [ 0.02, 0.04] | [ 0.04, 0.07] | 0.01 to 0.03 |
| Gemma 2B | 0.75 [0.54, 0.96] | 0.03 [ 0.15, 0.09] | 0.02 [ 0.13, 0.09] | 0.04 [0.00, 0.09] | [ 0.04, 0.14] | 0.01 to 0.10 |
| Qwen 7B | 1.69 [1.21, 2.19] | 0.22 [ 0.08, 0.54] | 0.31 [0.01, 0.63] | 0.15 [ 0.08, 0.39] | [ 0.21, 0.59] | 0.03 to 0.33 |
| Llama 8B | 0.74 [0.50, 1.00] | 0.11 [ 0.02, 0.23] | 0.12 [ 0.01, 0.24] | 0.07 [0.03, 0.12] | [0.01, 0.14] | 0.02 to 0.13 |
| Gemma 9B | 1.29 [0.98, 1.62] | 0.11 [ 0.05, 0.27] | 0.11 [ 0.06, 0.28] | 0.05 [0.00, 0.10] ‡ | [ 0.03, 0.14] | 0.02 to 0.07 |
| (% of ) | Share removed (%) | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Checkpoint | NEU | DR | DRN | RND | NEU | DR | DRN | RND | |
| Qwen 0.5B | 1.37 | 74.1 | 53.0 | 54.3 | 45.1 | 32.1 | 5.8 | 6.6 | 6.1 |
| Llama 1B | 0.89 | 80.5 | 48.9 | 52.6 | 31.1 | 44.5 | 0.3 | 0.8 | 3.3 |
| Gemma 2B | 1.76 | 74.7 | 38.2 | 39.7 | 21.4 | 50.7 | 0.3 | 0.1 | 3.5 |
| Qwen 7B | 4.48 | 76.4 | 43.0 | 43.3 | 37.6 | 37.6 | 5.1 | 5.2 | 4.9 |
| Llama 8B | 2.53 | 57.3 | 26.6 | 27.3 | 13.6 | 36.1 | 5.9 | 6.2 | 3.3 |
LLM Prompting
Large language model prompting studies how instructions, examples, context, and formats steer model behavior at inference time.
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