example_idx int32 0 1.32k | is_correct bool 2
classes | gold_answer stringlengths 48 1.07k | rollout_idx int32 0 39 | sentence_idx int32 0 10 | sentence_text stringlengths 11 1.14k | sentence_embedding listlengths 384 384 | cos_sim_to_full_nla float32 0.01 1 | critic_cos_sim float32 -0.21 0.94 | critic_mse float32 0.12 2.41 | contains_gold_answer bool 2
classes | contains_pred_answer bool 2
classes |
|---|---|---|---|---|---|---|---|---|---|---|---|
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 0 | 0 | Structured math problem format with labeled steps ("Solution:"), indicating a completed puzzle answer format showing a numerical result. | [
-0.06634766608476639,
0.13898155093193054,
-0.02216428704559803,
-0.04879904165863991,
-0.05813707783818245,
0.03170020505785942,
-0.050499580800533295,
0.05517119541764259,
-0.09797607362270355,
-0.0005635906709358096,
-0.03174130991101265,
-0.04488365352153778,
-0.0037249044980853796,
0.... | 0.712667 | 0.579269 | 0.841463 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 0 | 1 | The phrase "The final answer is: [2, 4, 6]" mirrors the answer block header "Answer box: #####" and the closing statement "The sum is 15," strongly implying the final answer box completion with "15". | [
-0.010540288873016834,
0.1162492111325264,
0.038373373448848724,
0.010420799255371094,
0.012911980040371418,
0.03638949245214462,
0.018354956060647964,
0.016414673998951912,
0.040530283004045486,
-0.01839570328593254,
-0.07684638351202011,
-0.04714398831129074,
-0.08809730410575867,
-0.043... | 0.83241 | 0.696328 | 0.607345 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 0 | 2 | Final token "####" is mid-answer-box notation ("####"), directly following "Solution: ####", completing the final answer block; immediately expects "15" or "8" or "9" to close the box, likely "15" to confirm the numeric result of the geometric sequence puzzle. | [
-0.04756809398531914,
0.06490156054496765,
0.047357942909002304,
-0.025749994441866875,
-0.01299204956740141,
-0.01176459714770317,
0.014462084509432316,
0.05302777513861656,
0.0526910163462162,
0.014837631024420261,
-0.007804784458130598,
-0.021901674568653107,
-0.048823341727256775,
0.00... | 0.848211 | 0.701222 | 0.597556 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 1 | 0 | Structured math problem format with numbered steps and symbols, indicating a final answer box or solution result shown in a formatted box ("The answer is"). | [
-0.002415996277704835,
0.12605831027030945,
-0.0187520831823349,
-0.00048044335562735796,
-0.06203209608793259,
0.045058105140924454,
-0.06467927247285843,
0.06371884793043137,
-0.022573629394173622,
0.012551024556159973,
-0.056856416165828705,
-0.021266784518957138,
0.000139917348860763,
... | 0.730334 | 0.610185 | 0.779631 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 1 | 1 | The phrase "The answer to the sum puzzle is: 9, 6, 8" mirrors the closing summary, signaling the final answer block completes with "15" or "The final answer block."
Final token "####" is a formatting delimiter ("####") closing the answer box label, directly following "####", strongly expecting "15" or "9" as the numer... | [
-0.043451521545648575,
0.08109749853610992,
0.044719234108924866,
0.008490394800901413,
-0.007786292117089033,
0.05162099376320839,
0.024121573194861412,
0.058369606733322144,
0.05547288805246353,
-0.019520731642842293,
-0.06080762296915054,
-0.031561002135276794,
-0.08912131935358047,
-0.... | 0.926657 | 0.766189 | 0.467624 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 2 | 0 | Structured math problem format with numbered steps and solution format, showing a product puzzle with variables "125" and "45" yielding a result. | [
-0.0484129898250103,
0.11507150530815125,
0.01163790374994278,
-0.1460743099451065,
-0.10039475560188293,
0.037582557648420334,
-0.01596943475306034,
0.049486804753541946,
-0.11627817898988724,
-0.008424948900938034,
0.016445191577076912,
-0.02416813001036644,
0.05630941689014435,
0.047556... | 0.771574 | 0.515977 | 0.968048 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 2 | 1 | The phrase "The answer box states the final answer is:" mirrors the closing notation "Solution box: ####" and "Answer: 9," strongly implying the final box closing value or answer. | [
0.0034534463193267584,
0.05206526443362236,
0.028842154890298843,
0.042491938918828964,
0.017644785344600677,
0.04810066893696785,
0.03206394985318184,
0.02513694390654564,
0.05750194564461708,
-0.002625895431265235,
-0.027649324387311935,
-0.002063135616481304,
-0.0616241917014122,
-0.044... | 0.741234 | 0.576439 | 0.847124 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 2 | 2 | Final token "####" closes the repeated answer notation ("####"), part of the concluding summary statement structure "Answer: 9" — immediately expects "9" or "12" to complete the box answer, likely followed by "12" or "9" confirming the final computed value result. | [
0.003126623574644327,
0.08783688396215439,
0.07395244389772415,
0.027388958260416985,
0.013729122467339039,
0.052625156939029694,
0.02553694136440754,
0.10130341351032257,
0.08660989254713058,
0.029015807434916496,
0.007955440320074558,
-0.028277944773435593,
-0.04336746782064438,
-0.00540... | 0.780437 | 0.722365 | 0.555272 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 3 | 0 | Structured math problem format with numbered steps and labeled sections, showing a result from a puzzle/solving context with "The answer is". | [
-0.05007904767990112,
0.13190613687038422,
-0.011830080300569534,
-0.031824927777051926,
-0.03961101919412613,
0.06351697444915771,
-0.021300451830029488,
0.053720325231552124,
-0.08468583971261978,
0.0063333758153021336,
-0.04478032514452934,
-0.055558159947395325,
0.029323335736989975,
0... | 0.700148 | 0.535288 | 0.929425 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 3 | 1 | The phrase "The final answer box: 6,5 and 7" mirrors the closing format "Final answer: ###", strongly implying the final boxed answer completes the solution, confirming the numeric answer value. | [
0.00885959342122078,
0.05316213145852089,
0.028027556836605072,
0.02214539609849453,
0.03506581112742424,
0.057393450289964676,
-0.005183177534490824,
0.005613716784864664,
0.048656899482011795,
0.030555523931980133,
-0.06963495910167694,
0.039050616323947906,
-0.08098658174276352,
-0.0231... | 0.839655 | 0.625383 | 0.749234 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 3 | 2 | Final token "####" is mid-answer construction ("####"), directly following "Solution: ####", completing the box notation pattern from the answer section, strongly expecting "8" or "15" or "4" — the integer value of the final box, closing the entire summary statement about the constructed figure. | [
0.015556461177766323,
0.12373471260070801,
0.08904237300157547,
0.010938702151179314,
0.041886985301971436,
0.01938687451183796,
0.028502823784947395,
0.07225493341684341,
0.06646614521741867,
0.03941362351179123,
-0.03842761367559433,
-0.034211453050374985,
-0.01893911324441433,
0.0198326... | 0.863328 | 0.698671 | 0.602658 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 4 | 0 | Structured math problem format with numbered steps and formatting indicating a puzzle solution, showing a product value and final answer format. | [
-0.049040112644433975,
0.11725861579179764,
-0.011751698330044746,
-0.0839867889881134,
-0.08841666579246521,
0.06261575222015381,
-0.031618017703294754,
0.08147958666086197,
-0.07114367187023163,
-0.007669117301702499,
-0.043467648327350616,
-0.031309809535741806,
0.01943441852927208,
0.0... | 0.693959 | 0.522352 | 0.955297 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 4 | 1 | The phrase "The answer to the equation is: 12, 18, 24" mirrors the concluding box notation pattern ("Final answer box"), signaling the final answer block with a numeric result follows the same template. | [
-0.02035609446465969,
0.12728002667427063,
0.012565741315484047,
0.009960741735994816,
-0.021714629605412483,
0.08035765588283539,
-0.059607744216918945,
0.046089861541986465,
0.052762631326913834,
0.0011368945706635714,
0.012624690309166908,
0.031476978212594986,
-0.06162697449326515,
-0.... | 0.790889 | 0.57692 | 0.84616 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 4 | 2 | Final token "####" is the closing box notation ("####"), part of the "Final answer: ####" statement, directly requiring the numeric answer value "27" or "1" to close the box, completing the final answer summary sentence about the constructed figure's total value. | [
0.02023543044924736,
0.06544419378042221,
0.045070793479681015,
0.023746298626065254,
0.023013921454548836,
0.024941224604845047,
0.05340021103620529,
0.07697272300720215,
0.0906626358628273,
0.04330059513449669,
-0.021261127665638924,
-0.010819985531270504,
-0.014404458925127983,
-0.02221... | 0.813976 | 0.738856 | 0.52229 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 5 | 0 | Structured math problem format with numbered steps and answer format, showing a puzzle solution involving a sequence and geometric shape. | [
-0.09030042588710785,
0.12550105154514313,
-0.014161055907607079,
-0.07363898307085037,
-0.11166917532682419,
0.037355922162532806,
-0.04421520605683327,
0.046530887484550476,
-0.04833875223994255,
-0.0015364090213552117,
-0.06894967705011368,
-0.0374765545129776,
-0.008863519877195358,
0.... | 0.617539 | 0.441348 | 1.117305 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 5 | 1 | The phrase "The final answer is: \_\_\_\_\_\_\_\_" mirrors the concluding box notation pattern ("Final answer: 15"), strongly implying the answer box is now showing the final numeric solution value "9," completing the answer section. | [
-0.007000755053013563,
0.10736311227083206,
0.05548851564526558,
-0.007515757344663143,
0.01388423889875412,
0.048897407948970795,
0.02550027333199978,
0.060030922293663025,
0.019199145957827568,
0.0013967746635898948,
0.0055378577671945095,
-0.034752070903778076,
-0.043250229209661484,
0.... | 0.808285 | 0.510311 | 0.97938 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 5 | 2 | Final token "####" is a repeated formatting delimiter ("####"), part of the concluding summary answer block ("Final answer: ####"), immediately expecting "9" or "15" or "9" to close the final answer, likely followed by "9" or "15" to conclude the box notation. | [
-0.017991239205002785,
0.06873305886983871,
0.0927412360906601,
0.005747724324464798,
0.048829324543476105,
0.02379443496465683,
0.03050140291452408,
0.08469794690608978,
0.09631717205047607,
-0.005192718468606472,
-0.004019171930849552,
0.0040018875151872635,
-0.04158884659409523,
-0.0277... | 0.811575 | 0.653602 | 0.692797 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 6 | 0 | Structured math problem format with numbered steps and labeled section ("A solution is given"), presenting a numbered answer problem about a geometric shape's sum. | [
-0.06424419581890106,
0.11317258328199387,
-0.0031518556643277407,
-0.015415103174746037,
-0.053132206201553345,
0.04567485302686691,
0.011693787761032581,
0.04906943440437317,
-0.06195468455553055,
0.008448808453977108,
-0.05729326605796814,
-0.06670068204402924,
0.022101406008005142,
0.0... | 0.713967 | 0.491063 | 1.017875 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 6 | 1 | The phrase "The final answer is: 48" closes with "The box answer is ####" and the pattern "Final result: ####" strongly implies a closing box or final answer format, completing the answer. | [
0.013949034735560417,
0.10088460892438889,
0.028621971607208252,
0.03879024460911751,
-0.005569898523390293,
0.05450668931007385,
0.031563833355903625,
0.025459127500653267,
0.019856836646795273,
0.040589313954114914,
-0.015439117327332497,
0.01222141832113266,
-0.04289786517620087,
-0.026... | 0.767677 | 0.584885 | 0.830231 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 6 | 2 | Final token "####" is mid-answer in the closing box notation ("####"), directly following the explicit answer statement "Answer: 12 + 4 + 4 = ####", strongly expecting "12" or "9" or "9" to close the box, completing the final solution confirmation. | [
0.035766955465078354,
0.10354803502559662,
0.064363032579422,
0.004548200406134129,
0.007222883403301239,
0.005789490882307291,
0.05606554076075554,
0.06421362608671188,
0.03975105658173561,
0.034889236092567444,
-0.0076901656575500965,
0.016407916322350502,
-0.03894687816500664,
-0.032933... | 0.83352 | 0.702245 | 0.595512 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 7 | 0 | Structured math problem format with numbered steps and a box answer format ("The answer to the puzzle is:") signals completion of the solution output. | [
-0.035827815532684326,
0.10121563822031021,
-0.015598682686686516,
-0.0190365519374609,
-0.06240876764059067,
0.06381989270448685,
-0.05366554856300354,
-0.007626603823155165,
-0.04844444617629051,
0.01170271448791027,
-0.06246919184923172,
-0.0034795685205608606,
-0.007873781956732273,
0.... | 0.769744 | 0.581184 | 0.837632 | false | false |
1 | true | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | 7 | 1 | The phrase "The final result is: 6,8,9" mirrors the answer block format, completing the final boxed answer pattern, strongly implying the closing token "####" mirrors the previous symbol or a numeric result. | [
-0.034132570028305054,
0.07543107867240906,
0.045143403112888336,
0.009776752442121506,
0.005287866573780775,
0.07713978737592697,
-0.005122662056237459,
0.07605649530887604,
0.07320716977119446,
-0.008210476487874985,
-0.021700378507375717,
0.05355733633041382,
-0.03820113465189934,
-0.06... | 0.861669 | 0.585648 | 0.828704 | false | false |
nla-thought-anchors-hash-rollouts
Sentence-level NLA rollout dataset — activations extracted at the #### token.
For each of 1319 GSM8K test examples, 40 NLA descriptions were sampled from kitft/nla-qwen2.5-7b-L20-av (temperature=0.7) using the layer-20 residual stream activation at the #### token. Each description was split into sentences and scored with kitft/nla-qwen2.5-7b-L20-ar.
See Realmbird/nla-thought-anchors-answer-rollouts for the answer-token variant.
Stats
| Examples | 1319 |
| Rollouts per example | 40 |
| Total sentence rows | 175,240 |
| Mean sentences per rollout | ~3.3 |
Schema
| Column | Type | Description |
|---|---|---|
example_idx |
int32 | Index in GSM8K test split |
is_correct |
bool | Whether model answer matched gold |
gold_answer |
string | Ground-truth answer |
rollout_idx |
int32 | 0–39 |
sentence_idx |
int32 | Sentence position within this rollout |
sentence_text |
string | The sentence text |
sentence_embedding |
list<float32> len=384 | all-MiniLM-L6-v2 embedding |
cos_sim_to_full_nla |
float32 | Cos-sim of sentence to its own rollout's full description |
critic_cos_sim |
float32 | NLA critic reconstruction cos-sim vs original activation |
critic_mse |
float32 | NLA critic reconstruction MSE vs original activation |
contains_gold_answer |
bool | Sentence contains the gold answer number |
contains_pred_answer |
bool | Sentence contains the predicted answer number |
Key findings
Reconstruction quality by correctness:
| Group | Mean critic cos-sim |
|---|---|
| Correct examples | 0.604 |
| Incorrect examples | 0.416 |
Thought anchor analysis — sentences stable across all 40 rollouts (high cos-sim to cross-rollout centroid) reconstruct significantly better:
| Correct | Incorrect | |
|---|---|---|
| Peripheral (Q1 anchor score) | 0.503 | 0.366 |
| Anchor (Q4 anchor score) | 0.661 | 0.673 |
Anchor sentences from incorrect examples (0.673) reconstruct better than peripheral sentences from correct ones (0.503) — stable recurring content carries the activation signal regardless of correctness.
Computing anchor scores
Anchor score is not stored — compute post-hoc from sentence_embedding:
from datasets import load_dataset
import numpy as np
from sklearn.metrics.pairwise import cosine_similarity
import pandas as pd
df = load_dataset("Realmbird/nla-thought-anchors-hash-rollouts", split="train").to_pandas()
embs = np.stack(df["sentence_embedding"].values)
anchor_scores = np.zeros(len(df))
for ex_idx, group in df.groupby("example_idx"):
idx = group.index
centroid = embs[idx].mean(axis=0)
centroid /= np.linalg.norm(centroid) + 1e-12
anchor_scores[idx] = cosine_similarity(embs[idx], centroid.reshape(1,-1)).flatten()
df["anchor_score"] = anchor_scores
Related
- Answer-token variant:
Realmbird/nla-thought-anchors-answer-rollouts - Step 1 activations:
Realmbird/nla-thought-anchors-hash - Step 2 NLA descriptions:
Realmbird/nla-thought-anchors-hash-step2 - NLA actor:
kitft/nla-qwen2.5-7b-L20-av - NLA critic:
kitft/nla-qwen2.5-7b-L20-ar
- Downloads last month
- 40