🔬 Comprehensive Ablation Studies & Empirical Insights

To rigorously validate the architectural choices within DantinoX, we conducted extensive hyperparameter sweeps using Weights & Biases (W&B). Instead of relying on conventional wisdom, every major component—from routing penalties to attention mechanics—was empirically tested against hardware constraints and convergence stability.

The insights below are derived from analyzing the joint distribution of validation loss (val_loss), peak memory footprint (vram_gb), and execution speed (ms_per_step) across hundreds of Bayesian trials.

1. Model Capacity & Convergence Dynamics

This section analyzes how fundamental model scaling laws (depth vs. width) and core training hyperparameters impact the final language modeling performance.

Depth, Width, and Batch Scaling

🏗️ Average Loss Heatmap	📦 Effective Batch Size

Average Loss by Architecture: A contour map illustrating the sweet spot between model depth (`num_blocks`) and width (`dim`). It answers the critical scaling question: is it better to add layers or increase the hidden dimension?	Validation Loss vs Batch Size: Boxplot distribution demonstrating the variance and stabilization of the validation loss as the global effective batch size increases.

Optimizer & Learning Rate Sensitivity

📉 Learning Rate vs Optimizer

Optimizer Convergence Basins: A logarithmic analysis comparing AdamW, Adafactor, and Lion across different learning rates. This visualization is crucial for identifying which optimizer provides the most stable convergence basin for the JAX/Flax state management.

2. Architecture Specifics & Memory Efficiency

Modern LLM engineering is primarily memory-bound. This section proves the efficiency of the advanced architectural features implemented in DantinoX to reduce the GPU footprint.

🔗 Weight Tying VRAM Savings	🧠 GQA Efficiency (VRAM vs Speed)

Weight Tying Enabled: Empirical verification of VRAM reduction achieved by sharing the embedding matrix with the output language modeling head across different model dimensions.	GQA Ratio: A dual-axis plot analyzing how sharing Key/Value heads across multiple Query heads (Grouped Query Attention) drastically reduces peak VRAM while maintaining hardware throughput.

VRAM Scaling Laws

📏 Context Length Memory Tax	🧱 Model Capacity VRAM Heatmap

Context Window: Proves the linear/quadratic VRAM cost associated with expanding the sequence length, highlighting the critical need for optimizations like Sliding Window attention.	VRAM Lookup Heatmap: A visual reference guide mapping hidden dimension (`dim`) and layer count (`num_blocks`) against peak VRAM usage. This allows for instant hardware requirement estimation.

3. Sparse Mixture of Experts (MoE) Analysis

Implementing MoE in JAX requires careful balancing of speed overhead and routing quality. This section provides a deep dive into the performance trade-offs of the gated MLP blocks.

🚀 Dense vs MoE Step Time	⚖️ Balancing Penalty Trade-off

Routing Overhead: Direct comparison of milliseconds-per-step between Dense and MoE models, quantifying the actual XLA compilation and execution cost of token routing.	Expert Load Balancing: Regression plot illustrating the tension between routing fairness (Alpha Balance penalty) and cross-entropy loss. High penalties force expert usage but may degrade final language modeling accuracy.

4. Regularization & Training Efficiency

The final section evaluates how to control overfitting and maximize the utilization of hardware resources during the training loop.

🛡️ Dropout Effectiveness by Size	⏳ Gradient Accumulation Penalty

Dropout Regularization: Analyzes the interaction between dropout rate and model capacity. It proves the rule of thumb that smaller models degrade with high dropout, while larger models require it to prevent overfitting.	Execution Speed: Boxplot distribution showing how execution time scales with gradient accumulation steps. While accumulation saves VRAM, it introduces a subtle time penalty per virtual step.

Appendix: Complete Parameter Distributions

For full transparency and reproducibility, the following expandable section contains the isolated distributions of every hyperparameter swept during the Bayesian optimization process, plotted against the target validation loss.

Click to expand all Base Distributions (Boxplots & Scatter Plots)