GEKO (Gradient-Efficient Knowledge Optimization) is a plug and play training framework that achieves 30-50% compute savings through intelligent sample selection. The framework introduces three core innovations: 1. Four-Bucket Partitioning: Classifies samples into FREEZE, LIGHT, FOCUS, and HARD buckets based on model confidence and correctness2. Mountain Curriculum: A non-monotonic Easy→Hard→Easy training progression that prevents catastrophic forgetting3. Per-Sample Q-Value Learning: Tracks individual sample learnability over time, enabling dynamic bucket transitions The key insight is that samples where the model is confident but wrong (HARD bucket) provide maximum learning signal, while confident and correct samples (FREEZE bucket) can be safely skipped. Like LoRA revolutionized fine-tuning through parameter efficiency, GEKO revolutionizes training through sample efficiency. Implementation available at: https://github.com/ra2157218-boop/GEKOPyPI: pip install gekolib