空间推理是VLM的硬伤，SAGE用自进化训练解决了这个痛点，做多模态模型训练或空间理解应用的团队可以直接参考方法。
视觉语言模型（VLM）在空间推理上仍存在脆弱性，即使能正确回答原始输入，也可能在变换后失败。为此，研究者提出SAGE（Spatial Alignment via Geometric Evolution），一种自进化框架，通过几何和语言对偶操作强制VLM保持逻辑一致性。SAGE将一致性作为GRPO训练的辅助奖励，并动态调整操作池以聚焦最具信息量的信号。该方法模型无关、数据高效，可作为轻量后训练阶段应用于任何VLM。实验表明，SAGE在视频和空间推理基准上持续优于强基线，并提升了对未见数据的泛化能力。
Self-Evolving Spatial Reasoning in Vision Language Models via Geometric Logic Consistency
Vision-Language Models (VLMs) have made striking progress, yet their spatial reasoning remains fragile: models that answer an original input correctly can still fail under paired transformations with predictable answer mappings, revealing a gap between instance-level correctness and robust spatial reasoning. To address this, we propose Spatial Alignment via Geometric Evolution (SAGE), a self-evolving framework that enforces logical consistency in VLMs through geometric and linguistic duality operations. SAGE incorporates duality consistency as an auxiliary reward within GRPO training, encouraging models to produce logically coherent answers across original and transformed inputs. A dynamic operation pool continuously probes for inconsistencies, promoting challenging operations and retiring mastered ones, so that training focuses on the most informative signals. SAGE is model-agnostic, data-efficient compared to prior GRPO methods, and can be applied as a lightweight post-training stage to any existing VLM. Experiments on video and spatial reasoning benchmarks demonstrate consistent improvements over strong baselines and enhanced generalization to unseen data.