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When biological foundation models such as scGPT and Geneformer process single-cell gene expression, what geometric and topological structure forms in their internal representations? Is that structure biologically meaningful or a training…

Quantitative Methods · Quantitative Biology 2026-03-09 Ihor Kendiukhov

Ground robot navigation in complex 3D environments is often hindered by geometric ambiguity, where non-traversable structures such as furniture share local geometric properties with navigable ground. Furthermore, the computational cost of…

Robotics · Computer Science 2026-05-19 Yifan Du , Chengwei Zhang , Siyu Liao , Zhongfeng Wang

Large foundation models (FMs) are transforming Earth science by integrating heterogeneous multimodal data, such as multi-platform imagery, gridded reanalysis data, diverse geophysical and geochemical observations, and domain-specific text,…

Instrumentation and Methods for Astrophysics · Physics 2026-05-14 Xiangyu Zhao , Bo Liu , Yuehan Zhang , Zelin Song , Wanghan Xu , Feng Liu , Fengxiang Wang , Ben Fei , Fenghua Ling , Wangxu Wei , Wenlong Zhang , Xiao-Ming Wu

Vision-language models (VLMs) have advanced rapidly, yet their capacity for image-grounded geolocation in open-world conditions, a task that is challenging and of demand in real life, has not been comprehensively evaluated. We present…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Zhaofang Qian , Hardy Chen , Zeyu Wang , Li Zhang , Zijun Wang , Xiaoke Huang , Hui Liu , Xianfeng Tang , Zeyu Zheng , Haoqin Tu , Cihang Xie , Yuyin Zhou

The problem of identifying geometric structure in data is a cornerstone of (unsupervised) learning. As a result, Geometric Representation Learning has been widely applied across scientific and engineering domains. In this work, we…

Machine Learning · Computer Science 2025-06-03 Imran Nasim , Melanie Weber

Geometric relational embeddings map relational data as geometric objects that combine vector information suitable for machine learning and structured/relational information for structured/relational reasoning, typically in low dimensions.…

Artificial Intelligence · Computer Science 2023-04-25 Bo Xiong , Mojtaba Nayyeri , Ming Jin , Yunjie He , Michael Cochez , Shirui Pan , Steffen Staab

Terrain geometry is, in general, non-smooth, non-linear, non-convex, and, if perceived through a robot-centric visual unit, appears partially occluded and noisy. This work presents the complete control pipeline capable of handling the…

Robotics · Computer Science 2022-07-06 Fabian Jenelten , Ruben Grandia , Farbod Farshidian , Marco Hutter

The hallmark of Deep Research agents lies in compositional reasoning, the capacity to aggregate distributed, heterogeneous information into coherent logical insights. However, current agentic systems are often retrieval-heavy but…

Computation and Language · Computer Science 2026-04-30 Rui Wang , Ce Zhang , Jun-Yu Ma , Jianshu Zhang , Hongru Wang , Yi Chen , Boyang Xue , Tianqing Fang , Zhisong Zhang , Hongming Zhang , Haitao Mi , Dong Yu , Kam-Fai Wong

Conventional AI-driven AMS design automation algorithms remain constrained by their reliance on high-quality datasets to capture underlying circuit behavior, coupled with poor transferability across architectures, and a lack of adaptive…

Artificial Intelligence · Computer Science 2026-03-30 Souradip Poddar , Chia-Tung Ho , Ziming Wei , Weidong Cao , Haoxing Ren , David Z. Pan

Reinforcement learning with verifiable rewards (RLVR) has become central to post-training reasoning models, yet a key limitation of existing studies is their narrow view of the reasoning space: difficulty is treated as reasoning depth…

Computation and Language · Computer Science 2026-05-27 Yihua Zhu , Qianying Liu , Fei Cheng , Jiaxin Wang , Akiko Aizawa , Sadao Kurohashi , Hidetoshi Shimodaira

Recently, there has been a surge of interest in combining deep learning models with reasoning in order to handle more sophisticated learning tasks. In many cases, a reasoning task can be solved by an iterative algorithm. This algorithm is…

Machine Learning · Computer Science 2020-11-02 Xinshi Chen , Yufei Zhang , Christoph Reisinger , Le Song

Vector retrieval systems exhibit significant performance variance across queries due to heterogeneous embedding quality. We propose a lightweight framework for predicting retrieval performance at the query level by combining quantization…

Information Retrieval · Computer Science 2025-07-09 Y. Du

AI-driven geometric problem solving is a complex vision-language task that requires accurate diagram interpretation, mathematical reasoning, and robust cross-modal grounding. A foundational yet underexplored capability for this task is the…

Machine Learning · Computer Science 2025-09-26 Bing Liu , Wenqiang Yv , Xuzheng Yang , Shichang Wang , Junzhuo Liu , Peng Wang , Guoqing Wang , Yang Yang , Heng Tao Shen

Neural networks can accurately forecast complex dynamical systems, yet how they internally represent underlying latent geometry remains poorly understood. We study neural forecasters through the lens of representational alignment,…

In this chapter, we identify fundamental geometric structures that underlie the problems of sampling, optimisation, inference and adaptive decision-making. Based on this identification, we derive algorithms that exploit these geometric…

This paper describes Asterisk, a compact GPT-based model for generating text embeddings. The model uses a minimalist architecture with two layers, two attention heads, and 256 embedding dimensions. By applying knowledge distillation from…

Computation and Language · Computer Science 2024-11-11 Andrew Semenov

Modern vision-based world models can represent observations as compact yet expressive latent manifolds, but fast goal-oriented planning in these spaces remains challenging. This raises a central question: when does a learned representation…

Robotics · Computer Science 2026-05-12 Hoang Nguyen , Xiaohao Xu , Xiaonan Huang

The bottleneck of useful agentic intelligence has shifted from compressing world knowledge into a single model to executing a coordinated system. This position paper argues that personal-agent architecture must move to the edge because the…

Machine Learning · Computer Science 2026-05-19 Chunlin Tian , Dongqi Cai , Wanru Zhao , Nicholas D. Lane

This work introduces Adaptive Density Fields (ADF), a geometric attention framework that formulates spatial aggregation as a query-conditioned, metric-induced attention operator in continuous space. By reinterpreting spatial influence as…

Machine Learning · Computer Science 2026-02-03 Zhaowen Fan

Earth system science is producing increasingly large, high-dimensional datasets from physics based Earth system models to AI-based weather and climate models. Embedding-based representations can make these data searchable through similarity…

Data Analysis, Statistics and Probability · Physics 2026-05-05 Nihanth W. Cherukuru , Matt Rehme , Kirsten J. Mayer , David John Gagne , John Schreck , John Clyne , Charlie Becker