File size: 6,656 Bytes
ebec87c
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
# BABYAI Environment: Validation Layer Analysis

## Overview

BABYAI is one of the 8 validation environments. This document shows which validation scoring layers include BABYAI and how it contributes to the overall scoring system.

## BABYAI Environment Details

- **Environment Name**: `agentgym:babyai`
- **Type**: AgentGym environment
- **Dataset Size**: 500 tasks
- **Daily Sampling Rate**: 120/day (fast environment)
- **Task Type**: Grid-world navigation and instruction following
- **Max Rounds**: 10
- **Timeout**: 1200 seconds

## Validation Layers That Include BABYAI

BABYAI appears in validation layers 3-8 as part of various environment combinations. Here's the breakdown:

### Layer 3 (3-environment combinations)

**Total subsets with BABYAI**: C(7,2) = 21 combinations

BABYAI appears in 21 out of 56 total Layer 3 subsets. Examples:
- {BABYAI, WEBSHOP, ALFWORLD}
- {BABYAI, SCIWORLD, TEXTCRAFT}
- {BABYAI, SAT, DED}
- {BABYAI, ABD, WEBSHOP}
- ... (17 more combinations)

**Weight per subset**: 8.0 / 56 = 0.143
**Total potential weight from BABYAI Layer 3 subsets**: 21 × 0.143 = 3.003

### Layer 4 (4-environment combinations)

**Total subsets with BABYAI**: C(7,3) = 35 combinations

BABYAI appears in 35 out of 70 total Layer 4 subsets. Examples:
- {BABYAI, WEBSHOP, ALFWORLD, SCIWORLD}
- {BABYAI, TEXTCRAFT, SAT, DED}
- {BABYAI, ABD, WEBSHOP, ALFWORLD}
- ... (32 more combinations)

**Weight per subset**: 16.0 / 70 = 0.229
**Total potential weight from BABYAI Layer 4 subsets**: 35 × 0.229 = 8.015

### Layer 5 (5-environment combinations)

**Total subsets with BABYAI**: C(7,4) = 35 combinations

BABYAI appears in 35 out of 56 total Layer 5 subsets. Examples:
- {BABYAI, WEBSHOP, ALFWORLD, SCIWORLD, TEXTCRAFT}
- {BABYAI, SAT, DED, ABD, WEBSHOP}
- ... (33 more combinations)

**Weight per subset**: 32.0 / 56 = 0.571
**Total potential weight from BABYAI Layer 5 subsets**: 35 × 0.571 = 19.985

### Layer 6 (6-environment combinations)

**Total subsets with BABYAI**: C(7,5) = 21 combinations

BABYAI appears in 21 out of 28 total Layer 6 subsets. Examples:
- {BABYAI, WEBSHOP, ALFWORLD, SCIWORLD, TEXTCRAFT, SAT}
- {BABYAI, DED, ABD, WEBSHOP, ALFWORLD, SCIWORLD}
- ... (19 more combinations)

**Weight per subset**: 64.0 / 28 = 2.286
**Total potential weight from BABYAI Layer 6 subsets**: 21 × 2.286 = 48.006

### Layer 7 (7-environment combinations)

**Total subsets with BABYAI**: C(7,6) = 7 combinations

BABYAI appears in 7 out of 8 total Layer 7 subsets. Examples:
- {BABYAI, WEBSHOP, ALFWORLD, SCIWORLD, TEXTCRAFT, SAT, DED}
- {BABYAI, WEBSHOP, ALFWORLD, SCIWORLD, TEXTCRAFT, SAT, ABD}
- {BABYAI, WEBSHOP, ALFWORLD, SCIWORLD, TEXTCRAFT, DED, ABD}
- {BABYAI, WEBSHOP, ALFWORLD, SCIWORLD, SAT, DED, ABD}
- {BABYAI, WEBSHOP, ALFWORLD, TEXTCRAFT, SAT, DED, ABD}
- {BABYAI, WEBSHOP, SCIWORLD, TEXTCRAFT, SAT, DED, ABD}
- {BABYAI, ALFWORLD, SCIWORLD, TEXTCRAFT, SAT, DED, ABD}

**Weight per subset**: 128.0 / 8 = 16.0
**Total potential weight from BABYAI Layer 7 subsets**: 7 × 16.0 = 112.0

### Layer 8 (All 8 environments)

**Total subsets with BABYAI**: C(7,7) = 1 combination

BABYAI appears in the single Layer 8 subset:
- {BABYAI, WEBSHOP, ALFWORLD, SCIWORLD, TEXTCRAFT, SAT, DED, ABD}

**Weight per subset**: 256.0 / 1 = 256.0
**Total potential weight from BABYAI Layer 8 subset**: 1 × 256.0 = 256.0

## Summary Table

| Layer | Total Subsets | Subsets with BABYAI | Weight per Subset | Total BABYAI Weight |
|-------|---------------|---------------------|-------------------|-------------------|
| 3     | 56            | 21                  | 0.143             | 3.003             |
| 4     | 70            | 35                  | 0.229             | 8.015             |
| 5     | 56            | 35                  | 0.571             | 19.985            |
| 6     | 28            | 21                  | 2.286             | 48.006            |
| 7     | 8             | 7                   | 16.0              | 112.0             |
| 8     | 1             | 1                   | 256.0             | 256.0             |
| **Total** | **219** | **120** | - | **447.009** |

## Key Insights

1. **BABYAI Coverage**: BABYAI appears in 120 out of 219 total evaluated subsets (54.8% of all subsets)

2. **Exponential Importance**: As layers increase, BABYAI's potential contribution grows exponentially:
   - Layer 3: 3.003 total weight
   - Layer 8: 256.0 total weight (85× more!)

3. **Comprehensive Performance Matters**: To maximize BABYAI-related rewards, a model must:
   - Perform well on BABYAI alone (but this isn't evaluated in layers 1-2)
   - Perform well on BABYAI + 2 other environments (Layer 3)
   - Perform well on BABYAI + 3 other environments (Layer 4)
   - ...
   - Perform well on ALL 8 environments including BABYAI (Layer 8) - **highest reward!**

4. **Layer 8 Dominance**: The single Layer 8 subset (all environments) contributes 256.0 weight, which is more than all other BABYAI-related subsets combined (191.009).

## Relationship to 36 Transformer Layers

The 36 transformer layers in the model architecture are **not directly mapped** to BABYAI. Instead:

1. **All 36 layers work together** to process BABYAI tasks
2. **BABYAI performance** is evaluated across all 8 environments
3. **Validation scoring layers** (3-8) reward models that perform well on BABYAI in combination with other environments

However, based on the codebase documentation (`BABYAI_SPECIFIC_IMPROVEMENTS.md`), there's evidence that:
- **Late layers (24-35)** may be more important for BABYAI-specific improvements
- BABYAI tasks (navigation/instruction-following) may benefit more from higher-level reasoning in later transformer layers

## Scoring Example

If a model performs well on BABYAI:

**Scenario A**: Model excels on BABYAI + 2 other environments (wins 5 Layer 3 subsets)
- Reward: 5 × 0.143 = 0.715

**Scenario B**: Model excels on BABYAI + 6 other environments (wins 1 Layer 7 subset)
- Reward: 1 × 16.0 = 16.0

**Scenario C**: Model excels on ALL 8 environments including BABYAI (wins Layer 8)
- Reward: 1 × 256.0 = 256.0

**Result**: Comprehensive performance (Scenario C) gives 358× more reward than partial performance (Scenario A)!

## Conclusion

BABYAI is a critical component of the validation system, appearing in:
- **120 out of 219 evaluated subsets** (54.8%)
- **All validation layers 3-8**
- **Maximum reward potential of 447.009** (if model wins all BABYAI-related subsets)

To maximize BABYAI-related rewards, models must demonstrate comprehensive ability across multiple environments, with the highest reward (256.0) coming from performing well on all 8 environments simultaneously.