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metadata
license: mit
task_categories:
  - reinforcement-learning
tags:
  - frozen-lake
  - trajectory
  - teacher-student
  - llm-agent
configs:
  - config_name: default
    data_files:
      - split: teacher
        path: data/teacher.parquet
      - split: student
        path: data/student.parquet
      - split: student_prefix
        path: data/student_prefix.parquet
      - split: teacher_prefix
        path: data/teacher_prefix.parquet

FrozenLake-Hard-Trajectories

Rollout trajectories for a hard variant of FrozenLake generated using the RAGEN framework.

Models

Role Model
Teacher Qwen/Qwen2.5-14B-Instruct
Student Qwen/Qwen2.5-3B-Instruct

Environment Settings

Setting Value
Grid size 8×8 (vs 4×4 in standard FrozenLake)
Frozen tile probability p 0.8 (~13 holes per map)
Movement success rate 0.8 (80% intended, 20% random slip)
Coordinate range (0, 0) to (7, 7) (zero-indexed)
Max turns per episode 10
Actions per turn up to 2 (max_actions_per_turn=2)

Note: 1 turn = up to 2 actions. All turn-based statistics count LLM calls.

Data Scale

  • 500 problems × 4 trajectories each = 2000 trajectories per split
  • Seeds: val base seed 123 (problems 123–622)

Cutoff

Teacher average turns = 3.08 → cutoff = 2 turns (≤4 actions)

Note: floor(3.08 / 2) = 1, but cutoff was set to 2 to give a more meaningful prefix length given the harder environment.

Splits

Split Description
teacher Full rollouts by teacher (14B) from start to finish
student Full rollouts by student (3B) from start to finish
student_prefix Step 4: Student runs first 2 turns, teacher completes the rest
teacher_prefix Step 5: Teacher runs first 2 turns, student completes the rest

Results

Setting success pass@4 avg turns
Student only 0.068 0.150 4.42
Step 4: student→teacher 0.158 0.330 3.78
Step 5: teacher→student 0.167 0.316 3.37
Teacher only 0.268 0.466 3.08

The hard environment compresses the gap between all settings — even the teacher only achieves 26.8% success, leaving limited room for the continuation methods to recover. Both Step 4 and Step 5 roughly double the student baseline (6.8% → ~16%).

Schema

Each row is one trajectory:

Column Type Description
env_id int Unique environment index (0–1999)
group_id int Problem group index (0–499); 4 trajectories share the same problem
turn_count int Number of LLM turns taken (1 turn = up to 2 actions)
messages list[dict] Full conversation: [{role, content}, ...]

Usage

from datasets import load_dataset

ds = load_dataset("CL-From-Nothing/FrozenLake-Hard-Trajectories")

# Full teacher rollouts
teacher = ds["teacher"]

# Step 4: student prefix (2 turns) + teacher completion
step4 = ds["student_prefix"]

# Access messages for first trajectory
print(step4[0]["messages"])