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Main Authors: Liu, Junming, Li, Yuqi, Sun, Yifei, Wang, Maonan, Koniusz, Piotr, Chen, Yirong, Wang, Ding
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.18162
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author Liu, Junming
Li, Yuqi
Sun, Yifei
Wang, Maonan
Koniusz, Piotr
Chen, Yirong
Wang, Ding
author_facet Liu, Junming
Li, Yuqi
Sun, Yifei
Wang, Maonan
Koniusz, Piotr
Chen, Yirong
Wang, Ding
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2605_18162
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Self-Evolving Spatial Reasoning in Vision Language Models via Geometric Logic Consistency
Liu, Junming
Li, Yuqi
Sun, Yifei
Wang, Maonan
Koniusz, Piotr
Chen, Yirong
Wang, Ding
Computer Vision and Pattern Recognition
Artificial Intelligence
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.
title Self-Evolving Spatial Reasoning in Vision Language Models via Geometric Logic Consistency
topic Computer Vision and Pattern Recognition
Artificial Intelligence
url https://arxiv.org/abs/2605.18162