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Euclidean embeddings of data are fundamentally limited in their ability to capture latent semantic structures, which need not conform to Euclidean spatial assumptions. Here we consider an alternative, which embeds data as discrete…

Machine Learning · Computer Science 2019-05-10 Charlie Frogner , Farzaneh Mirzazadeh , Justin Solomon

Transformer architectures have established strong baselines in time series forecasting, yet they typically rely on positional encodings that assume uniform, index-based temporal progression. However, real-world systems, from shifting…

Machine Learning · Computer Science 2026-02-10 Yubin Kim , Viresh Pati , Jevon Twitty , Vinh Pham , Shihao Yang , Jiecheng Lu

This work extends the paradigm of evolutional deep neural networks (EDNNs) to solving parametric time-dependent partial differential equations (PDEs) on domains with geometric structure. By introducing positional embeddings based on…

Numerical Analysis · Mathematics 2023-08-08 Mariella Kast , Jan S Hesthaven

Imitation learning is an intuitive approach for teaching motion to robotic systems. Although previous studies have proposed various methods to model demonstrated movement primitives, one of the limitations of existing methods is that the…

Robotics · Computer Science 2020-09-24 Takayuki Osa , Shuhei Ikemoto

Vision transformers (ViTs) - especially feature foundation models like DINOv2 - learn rich representations useful for many downstream tasks. However, architectural choices (such as positional encoding) can lead to these models displaying…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Moritz Pawlowsky , Antonis Vamvakeros , Alexander Weiss , Anja Bielefeld , Samuel J. Cooper , Ronan Docherty

In this work, we propose a novel paradigm to encode the position of targets for target tracking in videos using transformers. The proposed paradigm, Dense Spatio-Temporal (DST) position encoding, encodes spatio-temporal position information…

Computer Vision and Pattern Recognition · Computer Science 2022-10-19 Jinkun Cao , Hao Wu , Kris Kitani

This paper presents the Visual Place Cell Encoding (VPCE) model, a biologically inspired computational framework for simulating place cell-like activation using visual input. Drawing on evidence that visual landmarks play a central role in…

Robotics · Computer Science 2025-04-23 Chance J. Hamilton , Alfredo Weitzenfeld

Given an image dataset, we are often interested in finding data generative factors that encode semantic content independently from pose variables such as rotation and translation. However, current disentanglement approaches do not impose…

Computer Vision and Pattern Recognition · Computer Science 2019-09-27 Tristan Bepler , Ellen D. Zhong , Kotaro Kelley , Edward Brignole , Bonnie Berger

Graph self-supervised learning seeks to learn effective graph representations without relying on labeled data. Among various approaches, graph autoencoders (GAEs) have gained significant attention for their efficiency and scalability.…

Machine Learning · Computer Science 2025-06-17 Yang Liu , Deyu Bo , Wenxuan Cao , Yuan Fang , Yawen Li , Chuan Shi

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

The attention mechanism in a Transformer architecture matches key to query based on both content -- the what -- and position in a sequence -- the where. We present an analysis indicating that what and where are entangled in the popular RoPE…

Machine Learning · Computer Science 2025-12-24 Anand Gopalakrishnan , Robert Csordás , Jürgen Schmidhuber , Michael C. Mozer

We present GRAPE (Group Representational Position Encoding), a unified framework for positional encoding based on group actions. GRAPE unifies two families of mechanisms: (i) multiplicative rotations (Multiplicative GRAPE) in…

Machine Learning · Computer Science 2026-05-15 Yifan Zhang , Zixiang Chen , Yifeng Liu , Zhen Qin , Huizhuo Yuan , Kangping Xu , Yang Yuan , Quanquan Gu , Andrew Chi-Chih Yao

Modern medical image segmentation methods primarily use discrete representations in the form of rasterized masks to learn features and generate predictions. Although effective, this paradigm is spatially inflexible, scales poorly to…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Yejia Zhang , Pengfei Gu , Nishchal Sapkota , Danny Z. Chen

Positional encoding (PE) is a core architectural component of Transformers, yet its impact on the Transformer's generalization and robustness remains unclear. In this work, we provide the first generalization analysis for a single-layer…

Machine Learning · Statistics 2026-03-25 Weiyi He , Yue Xing

SinGAN shows impressive capability in learning internal patch distribution despite its limited effective receptive field. We are interested in knowing how such a translation-invariant convolutional generator could capture the global…

Computer Vision and Pattern Recognition · Computer Science 2020-12-10 Rui Xu , Xintao Wang , Kai Chen , Bolei Zhou , Chen Change Loy

The aim of this work is to use Variational Autoencoder (VAE) to learn a representation of an indoor environment that can be used for robot navigation. We use images extracted from a video, in which a camera takes a tour around a house, for…

Robotics · Computer Science 2018-09-18 Kaixin Hu , Peter O'Connor

Whole slide images (WSIs) in computational pathology (CPath) pose a major computational challenge due to their gigapixel scale, often requiring the processing of tens to hundreds of thousands of high-resolution patches per slide. This…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Yonghan Shin , SeungKyu Kim , Won-Ki Jeong

The two-dimensional interpolating readout concept of the Virtual-Pixel detector (ViP detector) goes along with an enormous reduction of electronic channels compared to pure pixel devices. However, the special concept of the readout…

Instrumentation and Detectors · Physics 2009-06-19 H. Wagner , A. Orthen , H. J. Besch , S. Martoiu , R. H. Menk , A. H. Walenta , U. Werthenbach

One of the key challenges in learning joint embeddings of multiple modalities, e.g. of images and text, is to ensure coherent cross-modal semantics that generalize across datasets. We propose to address this through joint Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Shweta Mahajan , Teresa Botschen , Iryna Gurevych , Stefan Roth

Graph transformers extend global self-attention to graph-structured data, achieving notable success in graph learning. Recently, random walk structural encoding (RWSE) has been found to further enhance their predictive power by encoding…

Machine Learning · Computer Science 2025-06-03 Louis Airale , Antonio Longa , Mattia Rigon , Andrea Passerini , Roberto Passerone