MLR
Collection
6 items • Updated
ids listlengths 10 10 | problem stringclasses 10
values | steps listlengths 54 62 | pred_answers listlengths 10 10 | gold_answers listlengths 10 10 | correct listlengths 10 10 |
|---|---|---|---|---|---|
[
"2024-II-12",
"2024-II-13",
"2024-II-1",
"2024-II-5",
"2024-I-12",
"2024-II-15",
"2024-I-10",
"2024-II-9",
"2024-I-8",
"2024-I-2"
] | Solve these 10 independent questions sequentially. Work on exactly one active question at a time. Complete that question's hierarchical reasoning with a local Finalization that returns exactly one boxed answer, then proceed to the next question. Do not perform a global model Finalization; the local boxed answers will b... | [
{
"step_id": 1,
"cognitive_mode": "ProblemUnderstanding",
"subgoal": "[Question 1] Parametrize the family \\mathcal{F} by the angle the segment makes with the x-axis and write the resulting line equation, identifying which parameter value gives \\overline{AB}",
"deliverable": "[Question 1] A one-par... | [
"11",
"...",
"73",
"200",
"4",
"27",
"16",
"2",
"331",
"4"
] | [
"23",
"321",
"73",
"80",
"385",
"315",
"113",
"902",
"197",
"25"
] | [
false,
false,
true,
false,
false,
false,
false,
false,
false,
false
] |
[
"2024-I-13",
"2024-I-6",
"2024-I-2",
"2024-II-3",
"2024-II-7",
"2024-I-7",
"2024-I-5",
"2024-II-15",
"2024-II-2",
"2024-II-1"
] | Solve these 10 independent questions sequentially. Work on exactly one active question at a time. Complete that question's hierarchical reasoning with a local Finalization that returns exactly one boxed answer, then proceed to the next question. Do not perform a global model Finalization; the local boxed answers will b... | [
{
"step_id": 1,
"cognitive_mode": "DeepReasoning",
"subgoal": "[Question 1] Set up the congruence condition on p and reduce it to a statement about p^2 - 1",
"deliverable": "[Question 1] The equivalence characterizing exactly which primes p allow p^2 | n^4 + 1",
"success_criterion": "[Question 1... | [
"5",
"29400",
"25",
"45",
"7",
"21",
"...",
"21",
"342",
"67"
] | [
"110",
"294",
"25",
"45",
"699",
"540",
"104",
"315",
"236",
"73"
] | [
false,
false,
true,
true,
false,
false,
false,
false,
false,
false
] |
[
"2024-II-15",
"2024-I-2",
"2024-I-8",
"2024-I-11",
"2024-II-12",
"2024-I-10",
"2024-I-4",
"2024-I-9",
"2024-II-1",
"2024-II-10"
] | Solve these 10 independent questions sequentially. Work on exactly one active question at a time. Complete that question's hierarchical reasoning with a local Finalization that returns exactly one boxed answer, then proceed to the next question. Do not perform a global model Finalization; the local boxed answers will b... | [
{
"step_id": 1,
"cognitive_mode": "ProblemUnderstanding",
"subgoal": "[Question 1] Sort the 12 sides/diagonals of the regular 12-gon into parallel families and identify which configurations of parallel sides can host a rectangle",
"deliverable": "[Question 1] The list of parallel families of sides w... | [
"36",
"25",
"331",
"257",
"5",
"37",
"89",
"97",
"447",
"..."
] | [
"315",
"25",
"197",
"371",
"23",
"113",
"116",
"480",
"73",
"468"
] | [
false,
true,
false,
false,
false,
false,
false,
false,
false,
false
] |
["2024-I-11","2024-II-1","2024-I-4","2024-II-9","2024-I-3","2024-I-10","2024-II-7","2024-I-5","2024-(...TRUNCATED) | "Solve these 10 independent questions sequentially. Work on exactly one active question at a time. C(...TRUNCATED) | [{"step_id":1,"cognitive_mode":"ProblemUnderstanding","subgoal":"[Question 1] Translate the rotation(...TRUNCATED) | [
"33",
"73",
"20",
"8",
"404",
"11",
"28",
"313",
"21,840",
"..."
] | [
"371",
"73",
"116",
"902",
"809",
"113",
"699",
"104",
"294",
"127"
] | [
false,
true,
false,
false,
false,
false,
false,
false,
false,
false
] |
["2024-I-15","2024-II-11","2024-I-6","2024-II-7","2024-II-13","2024-I-5","2024-II-10","2024-II-12","(...TRUNCATED) | "Solve these 10 independent questions sequentially. Work on exactly one active question at a time. C(...TRUNCATED) | [{"step_id":1,"cognitive_mode":"ProblemUnderstanding","subgoal":"[Question 1] Translate the two box (...TRUNCATED) | [
"399",
"1",
"C(15,4)",
"7519",
"623",
"325",
"...",
"2",
"285",
"13"
] | [
"721",
"601",
"294",
"699",
"321",
"104",
"468",
"23",
"236",
"110"
] | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
] |
["2024-I-10","2024-I-3","2024-II-15","2024-II-4","2024-I-1","2024-II-5","2024-II-1","2024-II-7","202(...TRUNCATED) | "Solve these 10 independent questions sequentially. Work on exactly one active question at a time. C(...TRUNCATED) | [{"step_id":1,"cognitive_mode":"ProblemUnderstanding","subgoal":"[Question 1] Record the tangent-ang(...TRUNCATED) | [
"...",
"197",
"24",
"33",
"3.27\\text{ m}",
"100",
"70",
"699",
"50",
"419"
] | [
"113",
"809",
"315",
"33",
"204",
"80",
"73",
"699",
"902",
"371"
] | [
false,
false,
false,
true,
false,
false,
false,
true,
false,
false
] |
["2024-I-14","2024-I-13","2024-II-4","2024-II-3","2024-I-9","2024-I-4","2024-II-7","2024-I-8","2024-(...TRUNCATED) | "Solve these 10 independent questions sequentially. Work on exactly one active question at a time. C(...TRUNCATED) | [{"step_id":1,"cognitive_mode":"ProblemUnderstanding","subgoal":"[Question 1] Extract the six square(...TRUNCATED) | [
"113",
"110",
"33",
"0",
"64",
"8",
"1291",
"101",
"246",
"11"
] | [
"104",
"110",
"33",
"45",
"480",
"116",
"699",
"197",
"236",
"113"
] | [
false,
true,
true,
false,
false,
false,
false,
false,
false,
false
] |
["2024-II-15","2024-II-1","2024-II-14","2024-I-14","2024-II-10","2024-I-6","2024-I-9","2024-I-1","20(...TRUNCATED) | "Solve these 10 independent questions sequentially. Work on exactly one active question at a time. C(...TRUNCATED) | [{"step_id":1,"cognitive_mode":"ProblemUnderstanding","subgoal":"[Question 1] Sort the 12 sides/diag(...TRUNCATED) | [
"90",
"73",
"101",
"101",
"...",
"140",
"80",
"119",
"2024",
"..."
] | [
"315",
"73",
"211",
"104",
"468",
"294",
"480",
"204",
"55",
"371"
] | [
false,
true,
false,
false,
false,
false,
false,
false,
false,
false
] |
["2024-I-6","2024-II-1","2024-I-12","2024-I-13","2024-II-12","2024-II-2","2024-II-3","2024-I-1","202(...TRUNCATED) | "Solve these 10 independent questions sequentially. Work on exactly one active question at a time. C(...TRUNCATED) | [{"step_id":1,"cognitive_mode":"ProblemUnderstanding","subgoal":"[Question 1] Translate 'changes dir(...TRUNCATED) | [
"70",
"73",
"1",
"17",
"3",
"396",
"45",
"144",
"103",
"6"
] | [
"294",
"73",
"385",
"110",
"23",
"236",
"45",
"204",
"113",
"55"
] | [
false,
true,
false,
false,
false,
false,
true,
false,
false,
false
] |
["2024-II-9","2024-II-11","2024-II-3","2024-II-15","2024-II-4","2024-II-13","2024-I-6","2024-I-13","(...TRUNCATED) | "Solve these 10 independent questions sequentially. Work on exactly one active question at a time. C(...TRUNCATED) | [{"step_id":1,"cognitive_mode":"ProblemUnderstanding","subgoal":"[Question 1] Translate the three gr(...TRUNCATED) | [
"25",
"1",
"45",
"66",
"23",
"...",
"384",
"10",
"314",
"404"
] | [
"902",
"601",
"45",
"315",
"33",
"321",
"294",
"110",
"197",
"809"
] | [
false,
false,
true,
false,
false,
false,
false,
false,
false,
false
] |
This dataset contains MLR_model generated hierarchical reasoning traces for the MLR-Concat10 long-horizon reasoning benchmark. Each record contains one prompt with 10 independent questions, the structured reasoning trace produced while solving them in sequence, predicted answers, gold answers, and per-question correctness labels.
It accompanies the long-horizon reasoning setting in Enhancing Language Model Reasoning with Structured Multi-Level Modeling (ICLR 2026).
| Config | Source questions | Output records | Questions per record | Tested models | Accuracy |
|---|---|---|---|---|---|
math500_qwen_1.5b |
MATH500 | 10 | 10 | MLR_executor_Qwen-1.5B, MLR_planner_Qwen-1.5B-LoRA | 50% |
aime24_qwen_1.5b |
AIME24 | 10 | 10 | MLR_executor_Qwen-1.5B, MLR_planner_Qwen-1.5B-LoRA | 13% |
mixture_qwen_1.5b |
MATH500, AIME24, GPQA-diamond, and BoardGameQA-Hard | 10 | 10 | MLR_executor_Qwen-1.5B, MLR_planner_Qwen-1.5B-LoRA | 41% |
Each JSONL row has the following fields:
| Field | Type | Description |
|---|---|---|
ids |
list[string] |
Source-question identifiers, in prompt order. |
problem |
string |
The concatenated prompt containing 10 numbered questions. |
steps |
list[object] |
Structured reasoning trace across all questions. Each step contains step_id, cognitive_mode, subgoal, deliverable, success_criterion, and execution. |
pred_answers |
list[string] |
Model predictions, one per question and aligned with ids. |
gold_answers |
list[string] |
Reference answers, one per question and aligned with ids. |
correct |
list[bool] |
Per-question correctness labels comparing pred_answers with gold_answers. |
from datasets import load_dataset
ds = load_dataset("sxiong/MLR_concat10_output", "math500_qwen_1.5b", split="train")
example = ds[0]
trace = example["steps"]
predictions = example["pred_answers"]
references = example["gold_answers"]
correctness = example["correct"]
@inproceedings{xiong2026enhancing,
title={Enhancing language model reasoning with structured multi-level modeling},
author={Xiong, Siheng and Payani, Ali and Fekri, Faramarz},
booktitle={International Conference on Learning Representations},
volume={2026},
pages={36557--36610},
year={2026}
}