NLA thought Anchors
Collection
3 items • Updated
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 -0.2 0.94 | critic_mse float32 0.13 2.4 | 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,
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0.042238350957632065,
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-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,
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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,
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0.07400038838386536,
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0.009130523540079594,
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-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,
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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,
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0.05524592101573944,
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0.08026813715696335,
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0.01732456497848034,
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-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,
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0.05598586052656174,
0.08464603126049042,
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-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,
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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,
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0.00886360090225935,
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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. | [
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0.11476132273674011,
0.00023101600527297705,
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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. | [
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0.1021370142698288,
0.07024087011814117,
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0.025605887174606323,
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-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,
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0.10048996657133102,
0.06781710684299469,
0.023958448320627213,
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-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,
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0.06330648809671402,
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0.06516119092702866,
0.009444531984627247,
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-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,
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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. | [
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0.08019884675741196,
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0.0030931655783206224,
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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,
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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. | [
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0.1349935382604599,
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0.03364880010485649,
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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,
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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,
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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,
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0.0068086679093539715,
0.008639739826321602,
-0.07198890298604965,
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-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,
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0.034991465508937836,
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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-answer-rollouts
Sentence-level NLA rollout dataset — activations extracted at the answer digit 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 first digit after #### (answer now in context). Each description was split into sentences and scored with kitft/nla-qwen2.5-7b-L20-ar.
See Realmbird/nla-thought-anchors-hash-rollouts for the ####-token variant.
Stats
| Examples | 1319 |
| Rollouts per example | 40 |
| Total sentence rows | 162,316 |
| Mean sentences per rollout | ~3.1 |
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 |
Extraction position comparison
| Position | Mean critic cos-sim (correct) | Mean critic cos-sim (incorrect) |
|---|---|---|
#### token (hash variant) |
0.604 | 0.416 |
| Answer digit token (this dataset) | TBD | TBD |
The answer token has the numeric answer already written into the sequence, making it the most direct encoding of the answer value.
Computing anchor scores
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-answer-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
- Hash-token variant:
Realmbird/nla-thought-anchors-hash-rollouts - Step 1 activations:
Realmbird/nla-thought-anchors-answer - Step 2 NLA descriptions:
Realmbird/nla-thought-anchors-answer-step2 - NLA actor:
kitft/nla-qwen2.5-7b-L20-av - NLA critic:
kitft/nla-qwen2.5-7b-L20-ar
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