Progressive Size-Adaptive Federated Learning: A Comprehensive Framework for Heterogeneous Multi-Modal Data Systems

Federated Learning (FL) has emerged as a transformative paradigm for distributed machine learning while preserving data privacy. However, existing approaches predominantly focus on model heterogeneity and aggregation techniques, largely overlooking the fundamental impact of dataset size characteristics on federated training dynamics. This paper introduces Size-Based Adaptive Federated Learning (SAFL), a novel progressive training framework that systematically organizes federated learning based on dataset size characteristics across heterogeneous multi-modal data. Our comprehensive experimental evaluation across 13 diverse datasets spanning 7 modalities (vision, text, time series, audio, sensor, medical vision, and multimodal) reveals critical insights: 1) an optimal dataset size range of 1000-1500 samples for federated learning effectiveness; 2) a clear modality performance hierarchy with structured data (time series, sensor) significantly outperforming unstructured data (text, multimodal); and 3) systematic performance degradation for large datasets exceeding 2000 samples. SAFL achieves an average accuracy of 87.68% across all datasets, with structured data modalities reaching 99%+ accuracy. The framework demonstrates superior communication efficiency, reducing total data transfer to 7.38 GB across 558 communications while maintaining high performance. Our real-time monitoring framework provides unprecedented insights into system resource utilization, network efficiency, and training dynamics. This work fills critical gaps in understanding how data characteristics should drive federated learning strategies, providing both theoretical insights and practical guidance for real-world FL deployments in neural network and learning systems.