LATENT VISUAL REASONING / 2026
NeurIPS 2026 Accepted

CoLVR: Enhancing Exploratory
Latent Visual Reasoning
via Contrastive Optimization

Give visual reasoning room to explore.

Ziyang Ding1,2Linjian Meng2Yiming Wu2Yuhan Li2,3Yuhao Liu4Zhen Zhao2,†
1 Shanghai Jiao Tong University2 Shanghai Artificial Intelligence Laboratory3 Nanjing University4 Shandong University

† Corresponding author

Explore the idea
A DIFFERENT WAY TO THINK

From fixed paths to possibilities.

01Hard alignmentConstrained

Match predefined features.
A narrower space for reasoning.

02Contrastive optimizationExploratory

Learn relative relationships.
Keep the freedom to explore.

VISUAL SPATIAL PLANNING+5.83pp

over Mirage · 65.83% accuracy

JIGSAW REASONING+8.00pp

over Mirage · 78.00% accuracy

MMSTAR GENERALIZATION+3.40pp

over LVR (8 steps) · 61.47% accuracy

01 / THE IDEA

Less constraint.
More discovery.

Continuous hidden states.
More exploratory visual reasoning.

What if visual reasoning could explore beyond a predefined path?

Latent visual reasoning lets multimodal models think through continuous hidden states instead of decoding every intermediate step into text. Yet hard alignment to predefined visual features can compress these states into a homogeneous space, limiting exploration.

CoLVR—Contrastive Optimization for Latent Visual Reasoning—uses relative contrastive relationships to guide reasoning while preserving flexibility. Angle-based negatives shape the latent space during supervised fine-tuning, and a trajectory contrastive reward carries that principle into reinforcement learning.

Guide the direction of reasoning.
Leave room for the model to explore.

Read the full abstract

Due to the potential for exploratory reasoning of Latent Visual Reasoning, recent works tend to enable MLLMs (Multimodal Large Language Models) to perform visual reasoning by propagating continuous hidden states instead of decoding intermediate steps into discrete tokens. However, existing works typically rely on hard alignment objectives to force latent representations to match predefined visual features, thereby severely limiting the exploratory of latent reasoning process. To address this problem, we propose CoLVR (Contrastive Optimization for Latent Visual Reasoning). To obtain a more exploratory visual reasoning, CoLVR introduces a latent contrastive training framework. Firstly, CoLVR learns diverse and exploratory representations with a latent contrastive objective guided by angle-based perturbation, which expands the semantic latent space and avoids over-constrained embedding. Then, CoLVR employs a latent trajectory contrastive reward for RL (Reinforcement Learning) post-training to enable fine-grained optimization of latent visual reasoning process and thus fostering diverse reasoning behaviors. Experiments demonstrate that CoLVR significantly enhances the exploratory capability of latent representations, achieving average improvements of 5.83% on VSP and 8.00% on Jigsaw, while also outperforming existing latent models on out of domain benchmarks, with a 3.40% gain on MMStar. The data, codes, and models are released at github.com/Oscar-dzy/CoLVR.

02 / THE FRAMEWORK

Three stages.
One exploratory latent space.

Built on Qwen2.5-VL-7B.
Reasoning through 8 latent tokens.

START WITH VISUAL SEMANTICS

Align latent hidden states with the mean-pooled input image representation. An auxiliary answer loss preserves language generation while the model acquires an initial visual reasoning capability.

Lwarmup = Lcosine + λ₁ LCE
From visual initialization to contrastive representations and trajectory-level optimization. Original PDF ↗
8 latent tokens8 negative samplesπ/2 → π perturbation angles4 × H200 training setup
03 / THE RESULTS

Better reasoning.
Beyond the training task.

Explore the paper’s reported results.
Accuracy (%), higher is better.

Visual Spatial Planning

Overall accuracy across seen and unseen VSP levels.

Main benchmark results reported in the paper
ModelVSP TotalJigsawTetris
Mirage60.0070.0043.33
CoLVR (Ours)65.8378.0044.67

Source: main results table. All scores are accuracy (%). Improvements are absolute percentage points.

04 / INSIDE THE LATENT SPACE

What does exploration look like?

Inspect the evidence behind the performance.

UMAP projections of the first four latent tokens on VSP levels 3 and 4.Original PDF ↗

A more dispersed latent space.

CoLVR’s latent states are more spread out in the paper’s UMAP visualizations, while Mirage’s states form compact clusters. These 2D projections illustrate representation diversity; they are complemented by measurements in the original latent space.

05 / THE VISUAL TASKS

Plan. Complete.
Imagine.

Three ways to put visual reasoning to the test.

01Visual Spatial PlanningFind a path through a visual maze

Navigate grid environments from start to goal. Levels 3–6 evaluate seen settings; harder levels 7–8 test generalization. Result-hint images provide guidance during training.

02JigsawRecover missing visual information

Identify the correct pieces for missing regions of an image. Solving the puzzle requires global visual context and the ability to imagine a completed scene.

03TetrisReason about constrained spatial completion

Select pieces that fill the target shape without gaps or overlap. This task tests spatial composition and structural reasoning. The source tables label this benchmark “Tertis”.

BUILT TO BE EXPLORED

Continue the exploration.

Read the paper. Explore the code. Build on CoLVR.

06 / CITATION

Build on this work.

If CoLVR is useful for your research,
please consider citing our paper.

Download BibTeX ↓
View on OpenReview ↗
BibTeX
@inproceedings{ding2026colvr,
  title   = {CoLVR: Enhancing Exploratory Latent Visual
             Reasoning via Contrastive Optimization},
  author = {Ziyang Ding and Linjian Meng and Yiming Wu and Yuhan Li and Yuhao Liu and Zhen Zhao},
  booktitle = {The Fortieth Annual Conference on
               Neural Information Processing Systems},
  year    = {2026},
  url     = {https://openreview.net/forum?id=FdggkQpSHq}
}
A note on scope. CoLVR uses result hints to construct positive training samples, which adds supervision cost. The semantic interpretation of latent tokens remains an open challenge. See the paper for experimental details and limitations.

Paper figure

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