IGAC: Interpretable Graph-Attention Collaboration

1.504

IGAC Reconstruction Error

12.3%

Communication Reduction vs FC

1.00

Adversary Detection Precision

78.8

Mean Communication Cost

Key Results

Summary of experimental findings

Finding	Value
IGAC error (no adversary)	1.504 +/- 0.407
Fully Connected error	1.499 +/- 0.404
IGAC error (20% adversary)	1.739
FC error (20% adversary)	2.224
Comm cost reduction	12.3%
Adversary detection (IGAC)	P=1.00, R=1.00

Error Comparison

Across all topologies

Reconstruction Error

Mean error with standard deviation by topology

Communication Cost

Messages exchanged per step across topologies

Detailed Results

Topology	Mean Error	Std Error	Median Error	Comm Cost
IGAC (Learned)	1.504	0.407	1.450	78.8
Fully Connected	1.499	0.404	1.437	90.0
Star	1.714	0.537	1.636	30.0
Chain	1.511	0.394	1.472	30.0

Adversarial Fraction:

Error Under Adversary

Reconstruction error at selected adversarial fraction

Detection Performance

Precision and recall of adversary detection

Error Across All Adversarial Levels

Error vs Observation Fraction

Performance under varying partial observability

Communication Cost vs Observation

Adaptive communication under different observability

Error vs Agent Count

How reconstruction error scales with number of agents

Communication Cost vs Agent Count

Communication overhead scaling (log scale)

Scalability Details

Agents	IGAC Error	FC Error	IGAC Comm	FC Comm	Savings
3	1.669	1.629	15.7	18.0	12.6%
6	1.499	1.435	79.1	90.0	12.1%
10	1.380	1.347	235.8	270.0	12.7%
15	1.383	1.397	550.5	630.0	12.6%
20	1.302	1.282	994.0	1140.0	12.8%

Interpretability Metrics

Attention entropy, edge sparsity, and communication cost

Detailed Metrics

Topology	Attention Entropy	Entropy Std	Edge Sparsity	Comm Cost
IGAC (Learned)	1.409	0.059	0.123	78.9
Fully Connected	1.523	0.075	0.000	90.0
Star	0.252	0.017	0.667	30.0
Chain	0.422	0.036	0.667	30.0

Ablation: Reconstruction Error

Component contributions under 20% adversarial agents

Ablation: Adversary Detection

Precision and recall by configuration

Ablation Details

Configuration	Error	Std	Precision	Recall
Full IGAC	1.739	0.608	1.00	1.00
No Trust	1.832	0.658	0.00	0.00
FC + Trust	2.117	0.967	0.00	0.00
FC (No Trust)	2.191	1.045	0.00	0.00
Star + Trust	1.917	0.571	0.00	0.00
Star (No Trust)	2.048	0.735	0.00	0.00

Interpretable Graph-Attention Collaboration (IGAC)