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Length generalization is the ability of language models to maintain performance on inputs longer than those seen during pretraining. In this work, we introduce a simple yet powerful position encoding (PE) strategy, Random Float Sampling…

Machine Learning · Computer Science 2026-02-17 Atsushi Shimizu , Shohei Taniguchi , Yutaka Matsuo

It is desirable to enable robots capable of automatic assembly. Structural understanding of object parts plays a crucial role in this task yet remains relatively unexplored. In this paper, we focus on the setting of furniture assembly from…

Robotics · Computer Science 2022-07-07 Rufeng Zhang , Tao Kong , Weihao Wang , Xuan Han , Mingyu You

Learning to compute, the ability to model the functional behavior of a circuit graph, is a fundamental challenge for graph representation learning. Yet, the dominant paradigm is architecturally mismatched for this task. This flawed…

Artificial Intelligence · Computer Science 2026-02-10 Ziyang Zheng , Jiaying Zhu , Jingyi Zhou , Qiang Xu

We propose Parabolic Position Encoding (PaPE), a parabola-based position encoding for vision modalities in attention-based architectures. Given a set of vision tokens-such as from videos, event camera streams, images, or point clouds-our…

Existing 3D surface representation approaches are unable to accurately classify pixels and their orientation lying on the boundary of an object. Thus resulting in coarse representations which usually require post-processing steps to extract…

Computer Vision and Pattern Recognition · Computer Science 2019-01-23 Mateusz Michalkiewicz , Jhony K. Pontes , Dominic Jack , Mahsa Baktashmotlagh , Anders Eriksson

Effective motion representation is crucial for enabling robots to imitate expressive behaviors in real time, yet existing motion controllers often ignore inherent patterns in motion. Previous efforts in representation learning do not…

Robotics · Computer Science 2025-12-09 Matthias Heyrman , Chenhao Li , Victor Klemm , Dongho Kang , Stelian Coros , Marco Hutter

The ability to decompose complex multi-object scenes into meaningful abstractions like objects is fundamental to achieve higher-level cognition. Previous approaches for unsupervised object-oriented scene representation learning are either…

Machine Learning · Computer Science 2020-03-17 Zhixuan Lin , Yi-Fu Wu , Skand Vishwanath Peri , Weihao Sun , Gautam Singh , Fei Deng , Jindong Jiang , Sungjin Ahn

Recent advances in learning aligned multimodal representations have been primarily driven by training large neural networks on massive, noisy paired-modality datasets. In this work, we ask whether it is possible to achieve similar results…

Machine Learning · Computer Science 2022-10-11 Elan Rosenfeld , Preetum Nakkiran , Hadi Pouransari , Oncel Tuzel , Fartash Faghri

This paper presents the Embedding Pose Graph (EPG), an innovative method that combines the strengths of foundation models with a simple 3D representation suitable for robotics applications. Addressing the need for efficient spatial…

Robotics · Computer Science 2024-11-15 Hugues Thomas , Mouli Sivapurapu , Jian Zhang

Transformers exhibit proficiency in capturing long-range dependencies, whereas State Space Models (SSMs) facilitate linear-time sequence modeling. Notwithstanding their synergistic potential, the integration of these architectures presents…

Computation and Language · Computer Science 2025-06-19 Bingheng Wu , Jingze Shi , Yifan Wu , Nan Tang , Yuyu Luo

Transfer learning is fundamental for addressing problems in settings with little training data. While several transfer learning approaches have been proposed in 3D, unfortunately, these solutions typically operate on an entire 3D object or…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Souhaib Attaiki , Lei Li , Maks Ovsjanikov

Parametric 3D models have formed a fundamental role in modeling deformable objects, such as human bodies, faces, and hands; however, the construction of such parametric models requires significant manual intervention and domain expertise.…

Computer Vision and Pattern Recognition · Computer Science 2022-01-21 Pablo Palafox , Nikolaos Sarafianos , Tony Tung , Angela Dai

Unsupervised learning of vision transformers seeks to pretrain an encoder via pretext tasks without labels. Among them is the Masked Image Modeling (MIM) aligned with pretraining of language transformers by predicting masked patches as a…

Computer Vision and Pattern Recognition · Computer Science 2023-03-15 Xiao Wang , Ying Wang , Ziwei Xuan , Guo-Jun Qi

Invariant representations are core to representation learning, yet a central challenge remains: uncovering invariants that are stable and transferable without suppressing task-relevant signals. This raises fundamental questions, requiring…

Machine Learning · Computer Science 2025-09-29 Arun Kumar , Paul Schrater

In this paper, we tackle the copy-paste image-to-image composition problem with a focus on object placement learning. Prior methods have leveraged generative models to reduce the reliance for dense supervision. However, this often limits…

Computer Vision and Pattern Recognition · Computer Science 2025-03-31 Hang Zhou , Xinxin Zuo , Rui Ma , Li Cheng

Significant progress has been made in training large generative models for natural language and images. Yet, the advancement of 3D generative models is hindered by their substantial resource demands for training, along with inefficient,…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Ka-Hei Hui , Aditya Sanghi , Arianna Rampini , Kamal Rahimi Malekshan , Zhengzhe Liu , Hooman Shayani , Chi-Wing Fu

This work provides the first unifying theoretical framework for node (positional) embeddings and structural graph representations, bridging methods like matrix factorization and graph neural networks. Using invariant theory, we show that…

Machine Learning · Computer Science 2020-09-23 Balasubramaniam Srinivasan , Bruno Ribeiro

In this paper, we propose a simple yet effective method to endow deep 3D models with rotation invariance by expressing the coordinates in an intrinsic frame determined by the object shape itself. Key to our approach is to find such an…

Computer Vision and Pattern Recognition · Computer Science 2019-10-22 Zelin Xiao , Hongxin Lin , Renjie Li , Hongyang Chao , Shengyong Ding

Estimating the body shape and posture of a dressed human subject in motion represented as a sequence of (possibly incomplete) 3D meshes is important for virtual change rooms and security. To solve this problem, statistical shape spaces…

Computer Vision and Pattern Recognition · Computer Science 2015-03-30 Stefanie Wuhrer , Leonid Pishchulin , Alan Brunton , Chang Shu , Jochen Lang

We present a geometric framework for understanding Transformer-based language models, drawing an explicit analogy to General Relativity. Queries and keys induce an effective metric on representation space, and attention acts as a discrete…

Machine Learning · Computer Science 2025-11-06 Riccardo Di Sipio , Jairo Diaz-Rodriguez , Luis Serrano