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Related papers: GeoWorld: Geometric World Models

200 papers

Geometry problem-solving remains a significant challenge for Large Multimodal Models (LMMs), requiring not only global shape recognition but also attention to intricate local relationships related to geometric theory. To address this, we…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Linger Deng , Yuliang Liu , Wenwen Yu , Zujia Zhang , Jianzhong Ju , Zhenbo Luo , Xiang Bai

A long-standing challenge in AI is to develop agents capable of solving a wide range of physical tasks and generalizing to new, unseen tasks and environments. A popular recent approach involves training a world model from state-action…

Artificial Intelligence · Computer Science 2026-05-19 Basile Terver , Tsung-Yen Yang , Jean Ponce , Adrien Bardes , Yann LeCun

Recently, video-based world models that learn to simulate the dynamics have gained increasing attention in robot learning. However, current approaches primarily emphasize visual generative quality while overlooking physical fidelity,…

Robotics · Computer Science 2026-01-21 Baorui Peng , Wenyao Zhang , Liang Xu , Zekun Qi , Jiazhao Zhang , Hongsi Liu , Wenjun Zeng , Xin Jin

It has been shown beneficial for many types of data which present an underlying hierarchical structure to be embedded in hyperbolic spaces. Consequently, many tools of machine learning were extended to such spaces, but only few…

Machine Learning · Computer Science 2023-06-27 Clément Bonet , Laetitia Chapel , Lucas Drumetz , Nicolas Courty

World models that forecast scene evolution by generating future video frames devote the bulk of their capacity to photometric details, yet the resulting predictions often remain geometrically inconsistent. We present VGGT-World, a geometry…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Xiangyu Sun , Shijie Wang , Fengyi Zhang , Lin Liu , Caiyan Jia , Ziying Song , Zi Huang , Yadan Luo

Graph representation learning in Euclidean space, despite its widespread adoption and proven utility in many domains, often struggles to effectively capture the inherent hierarchical and complex relational structures prevalent in real-world…

Machine Learning · Computer Science 2025-08-26 Menglin Yang , Min Zhou , Tong Zhang , Jiahong Liu , Zhihao Li , Lujia Pan , Hui Xiong , Irwin King

Due to its geometric properties, hyperbolic space can support high-fidelity embeddings of tree- and graph-structured data, upon which various hyperbolic networks have been developed. Existing hyperbolic networks encode geometric priors not…

Machine Learning · Computer Science 2023-03-14 Tao Yu , Christopher De Sa

Recent advancements in world models have revolutionized dynamic environment simulation, allowing systems to foresee future states and assess potential actions. In autonomous driving, these capabilities help vehicles anticipate the behavior…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Anthony Chen , Wenzhao Zheng , Yida Wang , Xueyang Zhang , Kun Zhan , Peng Jia , Kurt Keutzer , Shanghang Zhang

Geometric methods for solving open-world off-road navigation tasks, by learning occupancy and metric maps, provide good generalization but can be brittle in outdoor environments that violate their assumptions (e.g., tall grass).…

We introduce a method for real-time navigation and tracking with differentiably rendered world models. Learning models for control has led to impressive results in robotics and computer games, but this success has yet to be extended to…

Machine Learning · Computer Science 2022-01-26 Baris Kayalibay , Atanas Mirchev , Patrick van der Smagt , Justin Bayer

Multi-Task Learning (MTL) seeks to boost statistical power and learning efficiency by discovering structure shared across related tasks. State-of-the-art MTL representation methods, however, usually treat the latent representation matrix as…

Machine Learning · Statistics 2025-05-07 Aoran Chen , Yang Feng

Vision-centric autonomous driving has recently raised wide attention due to its lower cost. Pre-training is essential for extracting a universal representation. However, current vision-centric pre-training typically relies on either 2D or…

Computer Vision and Pattern Recognition · Computer Science 2024-05-08 Chen Min , Dawei Zhao , Liang Xiao , Jian Zhao , Xinli Xu , Zheng Zhu , Lei Jin , Jianshu Li , Yulan Guo , Junliang Xing , Liping Jing , Yiming Nie , Bin Dai

This study proposes deterministic and stochastic energy-aware hybrid models that should enable simulations of idealized and primitive-equations Geophysical Fluid Dynamics (GFD) models at low resolutions without compromising on quality…

Fluid Dynamics · Physics 2024-05-27 Igor Shevchenko , Dan Crisan

Managing natural resources and mitigating risks from floods, droughts, wildfires, and landslides require models that can accurately predict climate-driven land-surface responses. Traditional models often struggle with spatial generalization…

Machine Learning · Computer Science 2026-02-03 Nicholas Kraabel , Jiangtao Liu , Yuchen Bian , Daniel Kifer , Chaopeng Shen

Geospatial technologies are becoming increasingly essential in our world for a wide range of applications, including agriculture, urban planning, and disaster response. To help improve the applicability and performance of deep learning…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Matias Mendieta , Boran Han , Xingjian Shi , Yi Zhu , Chen Chen

3D Gaussian Splatting (3DGS) has been widely adopted for scene reconstruction, where training inherently constitutes a highly coupled and non-convex optimization problem. Recent works commonly incorporate geometric priors, such as LiDAR…

Computer Vision and Pattern Recognition · Computer Science 2026-04-30 Rui Song , Tianhui Cai , Markus Gross , Yun Zhang , Walter Zimmer , Zhiyu Huang , Olaf Wysocki , Jiaqi Ma

Model predictive control (MPC) with learned world models has emerged as a promising paradigm for embodied control, particularly for its ability to generalize zero-shot when deployed in new environments. However, learned world models often…

The Dreamer algorithm has recently obtained remarkable performance across diverse environment domains by training powerful agents with simulated trajectories. However, the compressed nature of its world model's latent space can result in…

Machine Learning · Computer Science 2026-02-04 Maxime Burchi , Radu Timofte

We introduce a novel heuristic global optimization method, energy landscape paving (ELP), which combines core ideas from energy surface deformation and tabu search. In appropriate limits, ELP reduces to existing techniques. The approach is…

Computational Physics · Physics 2009-11-07 Luc T. Wille , U. H. E. Hansmann

We introduce the Generalized Energy Based Model (GEBM) for generative modelling. These models combine two trained components: a base distribution (generally an implicit model), which can learn the support of data with low intrinsic…

Machine Learning · Statistics 2021-12-22 Michael Arbel , Liang Zhou , Arthur Gretton