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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
1.43k
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 showing a calculation involving sets and combinations, resolving to a final answer about a combined quantity of objects.
[ 0.055825624614953995, 0.11256259679794312, -0.02502628229558468, -0.01834890805184841, -0.0926840752363205, 0.03180643916130066, 0.005110098514705896, 0.06325977295637131, -0.03751588985323906, 0.025227004662156105, -0.08662672340869904, -0.0918540209531784, 0.04169633239507675, 0.05047246...
0.678577
0.650093
0.699815
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 sentence "Thus, the sum is 8+2=10.
[ -0.03528999164700508, 0.10368276387453079, 0.0734054446220398, 0.055595189332962036, 0.020186826586723328, 0.0610717236995697, 0.036680448800325394, 0.10543064773082733, -0.00017384921375196427, -0.014249595813453197, 0.042238350957632065, -0.039575982838869095, -0.051424477249383926, -0.0...
0.641102
0.68647
0.62706
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
Answer: " mirrors a concluding display format, strongly implying the final answer "4" is formatted as "S 3" or "The total number." Final token " " opens a numeric expression completion ("答案 3 "), directly continuing the answer statement "Result: 3 +", immediately requiring "10" or "3" to close the formatted result,...
[ 0.01265402790158987, 0.06456294655799866, 0.020901313051581383, 0.005836859345436096, -0.016757849603891373, 0.06814084947109222, 0.02379561774432659, 0.07620761543512344, 0.1136503666639328, 0.02155439555644989, 0.032927799969911575, -0.07606571167707443, -0.01509094424545765, 0.040307726...
0.871148
0.834609
0.330782
true
true
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 format with numbered steps showing a combined expression, interpreting a word problem with parentheses and sum notation.
[ -0.038378581404685974, 0.13881918787956238, 0.0356498658657074, -0.01045500859618187, -0.09329802542924881, 0.038551121950149536, -0.02895232103765011, 0.07400038838386536, -0.015290085226297379, 0.009130523540079594, -0.018845433369278908, -0.07430411130189896, 0.040453314781188965, 0.046...
0.650825
0.586527
0.826947
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 "Thus, the final answer is: 4 + 2 + 1 = " signals the conclusion, confirming the calculated total value "5," and the final answer format "Box 3" implies a formatted answer display completing the box sum concept.
[ 0.022020455449819565, 0.10446926951408386, 0.018041862174868584, 0.01751212775707245, -0.009935908019542694, 0.02502295933663845, 0.013718797825276852, -0.0035490524023771286, 0.07101836055517197, 0.05307778716087341, -0.05627935007214546, -0.09119988232851028, -0.05583158880472183, -0.008...
0.854002
0.712264
0.575472
true
true
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
2
Final token " " is mid-number in "答案 " (answer 3), part of a concluding summary statement "答案: 5" — immediately expects "5" or "8" or "boxed" to close the arithmetic result, completing the box-sum or total-value conclusion.
[ 0.00827029813081026, 0.05729145184159279, 0.13012182712554932, 0.02184094488620758, 0.04462118446826935, 0.003507959423586726, 0.04104461893439293, 0.042145054787397385, 0.09535621851682663, 0.043852392584085464, 0.033436354249715805, -0.06488659977912903, -0.0031131524592638016, 0.0109821...
0.801073
0.848509
0.302983
true
true
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 format with numbered questions and calculations showing combined terms from a set, presenting a concise summary result.
[ 0.027292905375361443, 0.1295594871044159, -0.020511101931333542, -0.04931287094950676, -0.10139521956443787, 0.05524592101573944, -0.004044088535010815, 0.08026813715696335, -0.01286064088344574, 0.01732456497848034, -0.048969075083732605, -0.0817866399884224, 0.04319427162408829, 0.054442...
0.615002
0.629166
0.741669
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 "Therefore, the total number of items is 7+3= " completes the answer, following a concluding phrase "The final answer: 10" — strongly implying the formatted answer "4" or "the box" closes the sum result.
[ 0.0025493318680673838, 0.09480302780866623, 0.03618471696972847, 0.07312679290771484, -0.011389855295419693, 0.05038969963788986, 0.06118595227599144, 0.027068424969911575, 0.05598586052656174, 0.08464603126049042, -0.02926986664533615, -0.05972513556480408, -0.061765193939208984, -0.01253...
0.808255
0.861225
0.277551
true
true
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 " " is mid-expression ("答案 "), part of a concluding summary line "答案:4.
[ 0.013838798739016056, 0.07193610817193985, 0.15241184830665588, 0.008767144754529, 0.08495813608169556, -0.0012306120479479432, 0.02636539936065674, 0.06027096137404442, 0.07154678553342819, 0.017002370208501816, 0.06470487266778946, -0.09372145682573318, 0.05267925187945366, 0.02854843251...
0.621545
0.768698
0.462604
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
3
" — immediately expects "4" or "10" or "boxed" or "sum" to complete the numeric answer describing the combined box count.
[ 0.06754162907600403, 0.023443792015314102, -0.002427878323942423, 0.00886360090225935, -0.0724560096859932, 0.0872529149055481, 0.00609436072409153, 0.028811169788241386, 0.01444940734654665, -0.031584471464157104, 0.005968519952148199, -0.0918523445725441, 0.0015375104267150164, 0.0155077...
0.695842
0.767051
0.465898
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 explanations, showing calculations for a combined set describing a geometric shape's properties.
[ -0.0024980478920042515, 0.11476132273674011, 0.00023101600527297705, -0.05962895229458809, -0.10541142523288727, -0.010571143589913845, -0.027609558776021004, 0.054557256400585175, -0.06093967333436012, -0.002571668243035674, -0.07577827572822571, -0.09853821992874146, 0.07359441369771957, ...
0.608654
0.577963
0.844075
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 "Therefore, the answer is: 5 + 3 + 2 = 10" signals the final answer format, completing the "The total number of items" summary, strongly implying the closed form "8" or "A" as the box's answer.
[ -0.02800191193819046, 0.1021370142698288, 0.07024087011814117, 0.03676588460803032, 0.025605887174606323, 0.061459075659513474, 0.04018082469701767, 0.05373422056436539, 0.0529206357896328, 0.08477923274040222, 0.010850024409592152, -0.04835285618901253, -0.06203470006585121, -0.0168101489...
0.837614
0.675668
0.648665
true
true
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-expression (" " 8"), part of the concluding answer display ("Answer: "), immediately expecting "8" or "10" to close the numeric answer, continuing the box-sum notation pattern.
[ 0.009558102115988731, 0.12200126051902771, 0.09024901688098907, 0.03497907146811485, 0.005301621276885271, 0.07850479334592819, 0.022967083379626274, 0.10048996657133102, 0.06781710684299469, 0.023958448320627213, -0.03539947792887688, -0.03925315663218498, -0.04475374519824982, 0.00870088...
0.798272
0.847082
0.305836
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 format with numbered steps and labeled expressions showing a combined quantity problem, presenting a worked solution about a geometric shape's total count.
[ 0.022430213168263435, 0.06761694699525833, -0.01261131465435028, -0.035945214331150055, -0.12321265041828156, 0.06330648809671402, -0.027517050504684448, 0.06516119092702866, 0.009444531984627247, -0.008120912127196789, -0.03524308651685715, -0.0766223892569542, 0.05652891471982002, 0.1116...
0.697454
0.606643
0.786714
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 sentence "Thus, the final answer is: 8+2=10" signals the answer format "Answer: 5" is being completed, with the concluding phrase "The sum is " implying the box format result.
[ 0.004786393139511347, 0.12577134370803833, 0.07128492742776871, 0.036678433418273926, 0.009957749396562576, 0.07254316657781601, -0.009764720685780048, 0.029418425634503365, 0.02581714279949665, 0.017893437296152115, -0.036902762949466705, -0.028879664838314056, -0.07714463025331497, 0.005...
0.859207
0.838673
0.322655
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 mid-expression (" 5 "), part of the answer confirmation statement "Answer: " structure, immediately requiring the numeric value "10" to close the box total, likely followed by "10" or "sum" or "5" completing the summary description.
[ -0.022012392058968544, 0.08019884675741196, 0.05824729800224304, 0.03409822657704353, 0.053151149302721024, 0.031826552003622055, 0.07637817412614822, 0.05522201210260391, 0.07617593556642532, 0.04824851453304291, 0.0030931655783206224, -0.07518258690834045, -0.04191436991095543, 0.0071905...
0.812361
0.85362
0.292759
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 showing calculations, defining terms like "sum," "product," and combining the two values from a set.
[ -0.009488765150308609, 0.08608533442020416, -0.024337027221918106, -0.07614092528820038, -0.12178044766187668, 0.03823802247643471, -0.009034351445734501, 0.06853603571653366, -0.06120491027832031, 0.0038883842062205076, -0.0517197921872139, -0.055829066783189774, 0.07686518132686615, 0.03...
0.701
0.618696
0.762609
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 sentence "Thus, the final answer is: 8 + 2 = 10" concludes with a formatted answer display, strongly implying the final answer expression "4" or "10" is being confirmed or summarized.
[ -0.013236635364592075, 0.1349935382604599, 0.060677845031023026, 0.03670806437730789, 0.024053646251559258, 0.06186061352491379, -0.01240402739495039, 0.11628041416406631, 0.047179318964481354, 0.014577196910977364, 0.03364880010485649, -0.04517580196261406, -0.05308845639228821, 0.0445133...
0.784658
0.768293
0.463414
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 mid-expression in "答案 3 " — part of a concluding summary statement "答案: 4" structure, immediately expecting "10" or "4" to close the answer, likely followed by "5" or "the combined set" confirming the total object.
[ 0.022642623633146286, 0.01782943308353424, 0.11153139173984528, 0.022889750078320503, 0.05203932151198387, 0.002472447697073221, 0.04503500461578369, 0.028864530846476555, 0.11205839365720749, 0.03559959679841995, 0.04211418330669403, -0.12183232605457306, 0.004279696848243475, 0.011461619...
0.770714
0.807703
0.384593
true
true
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 step-by-step solutions presenting a word problem involving sets and quantities, following a pattern of combining values to find a total count.
[ 0.04964851588010788, 0.08634060621261597, 0.0174043420702219, -0.01362666953355074, -0.13829182088375092, 0.09740294516086578, 0.012238760478794575, 0.07220156490802765, -0.035870060324668884, 0.02026721090078354, -0.017268283292651176, -0.08967314660549164, 0.11190365254878998, 0.06156509...
0.703598
0.595469
0.809063
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 answer statement "Thus, 3 + 8 + 5 = 16" concludes with "The final answer is: " signaling the final formatted answer, confirming the combined set notation result.
[ 0.030473290011286736, 0.10472665727138519, 0.056773699820041656, 0.013008197769522667, -0.023827068507671356, 0.012636053375899792, 0.028343815356492996, 0.04618777334690094, 0.010604380629956722, 0.0068086679093539715, 0.008639739826321602, -0.07198890298604965, -0.0014947816962376237, -0...
0.820108
0.840864
0.318273
true
true
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 " " opens the numeric answer "3 " — part of the final answer display ("Answer: S "), strongly expecting "16" or "3" to close the numeric value, completing the concise summary phrase "The total is 16".
[ 0.04000880941748619, 0.07713738083839417, 0.017068222165107727, -0.008833191357553005, -0.004749999847263098, 0.034991465508937836, -0.004210472106933594, 0.08630675077438354, 0.08849970996379852, 0.0652318000793457, -0.003238566219806671, -0.11491045355796814, -0.03695478290319443, 0.0397...
0.781787
0.845945
0.30811
true
true
End of preview. Expand in Data Studio

nla-thought-anchors-rollouts

Sentence-level NLA rollout dataset for Qwen2.5-7B-Instruct on GSM8K test set.

For each activation vector (layer 20, 1319 examples), 40 NLA descriptions were sampled from the actor kitft/nla-qwen2.5-7b-L20-av (temperature=0.7). Each description was split into sentences and scored with the NLA critic kitft/nla-qwen2.5-7b-L20-ar.

Part of the nla-thought-anchors project.

Files

File Extraction point Rows
hash.parquet #### token (model finished CoT, about to write answer) 175,240
answer.parquet Answer digit token (answer now in context) ~175,000

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 — which of the 40 sampled descriptions
sentence_idx int32 Sentence position within this rollout
sentence_text string The sentence text
sentence_embedding list<float32> len=384 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 (hash position):

Group Mean critic cos-sim
Correct examples 0.604
Incorrect examples 0.416

Incorrect examples reconstruct ~35% worse — the activation at #### is qualitatively different when the model gets the answer wrong.

Thought anchor analysis: sentences that are stable across all 40 rollouts (high cos-sim to cross-rollout centroid) reconstruct significantly better than peripheral sentences:

Group Correct Incorrect
Peripheral sentences (Q1 anchor score) 0.503 0.366
Anchor sentences (Q4 anchor score) 0.661 0.673

The most striking result: anchor sentences from incorrect examples (0.673) reconstruct better than peripheral sentences from correct examples (0.503) — the stable recurring content is what carries the activation signal regardless of correctness.

Anchor score is not stored in this dataset — compute it post-hoc from sentence_embedding by grouping rows by example_idx, computing the centroid of all embeddings, and taking cos-sim of each sentence to the centroid.

Usage

from datasets import load_dataset
import numpy as np
from sklearn.metrics.pairwise import cosine_similarity

ds = load_dataset("Realmbird/nla-thought-anchors-rollouts", split="hash")

# compute anchor scores for each example
import pandas as pd
df = ds.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
    sims = cosine_similarity(embs[idx], centroid.reshape(1, -1)).flatten()
    anchor_scores[idx] = sims

df["anchor_score"] = anchor_scores

Related

  • Step 1 activations (#### token): Realmbird/nla-thought-anchors-hash
  • Step 1 activations (answer token): Realmbird/nla-thought-anchors-answer
  • 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
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