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We present DPPE, a dense pose estimation algorithm that functions over a Plenoxels environment. Recent advances in neural radiance field techniques have shown that it is a powerful tool for environment representation. More recent neural…

Robotics · Computer Science 2024-03-19 Christopher Kolios , Yeganeh Bahoo , Sajad Saeedi

Structured embedding transformations offer a promising approach for enhancing the efficiency and coherence of language model inference. The introduction of Structural Embedding Projection (SEP) provides a mechanism for refining token…

Computation and Language · Computer Science 2025-08-11 Vincent Enoasmo , Cedric Featherstonehaugh , Xavier Konstantinopoulos , Zacharias Huntington

Self-attention and position embedding are two key modules in transformer-based Large Language Models (LLMs). However, the potential relationship between them is far from well studied, especially for long context window extending. In fact,…

Machine Learning · Computer Science 2024-02-29 Shiyi Zhu , Jing Ye , Wei Jiang , Siqiao Xue , Qi Zhang , Yifan Wu , Jianguo Li

Kernel mean embeddings are a popular tool that consists in representing probability measures by their infinite-dimensional mean embeddings in a reproducing kernel Hilbert space. When the kernel is characteristic, mean embeddings can be used…

Machine Learning · Computer Science 2021-06-29 Boris Muzellec , Francis Bach , Alessandro Rudi

Kernel-based methods offer a powerful and flexible mathematical framework for addressing histopolation problems. In histopolation, the available input data does not consist of pointwise function samples but of averages taken over intervals…

Numerical Analysis · Mathematics 2026-01-14 Ludovico Bruni Bruno , Giacomo Cappellazzo , Wolfgang Erb , Mohammad Karimnejad Esfahani

Meshfree methods, including the reproducing kernel particle method (RKPM), have been widely used within the computational mechanics community to model physical phenomena in materials undergoing large deformations or extreme topology…

Numerical Analysis · Mathematics 2025-06-19 Jennifer E. Fromm , John A. Evans , J. S. Chen

Kernel methods are versatile tools for function approximation and surrogate modeling. In particular, greedy techniques offer computational efficiency and reliability through inherent sparsity and provable convergence. Inspired by the…

Numerical Analysis · Mathematics 2026-03-09 Marian Klink , Tobias Ehring , Robin Herkert , Robin Lautenschlager , Dominik Göddeke , Bernard Haasdonk

Starting with a similarity function between objects, it is possible to define a distance metric on pairs of objects, and more generally on probability distributions over them. These distance metrics have a deep basis in functional analysis,…

Computational Geometry · Computer Science 2011-03-15 Sarang Joshi , Raj Varma Kommaraju , Jeff M. Phillips , Suresh Venkatasubramanian

Sequential neural posterior estimation (SNPE) techniques have been recently proposed for dealing with simulation-based models with intractable likelihoods. Unlike approximate Bayesian computation, SNPE techniques learn the posterior from…

Machine Learning · Statistics 2025-01-17 Yifei Xiong , Xiliang Yang , Sanguo Zhang , Zhijian He

Prototype-based methods are of the particular interest for domain specialists and practitioners as they summarize a dataset by a small set of representatives. Therefore, in a classification setting, interpretability of the prototypes is as…

Machine Learning · Computer Science 2019-11-12 Babak Hosseini , Barbara Hammer

Linear position interpolation helps pre-trained models using rotary position embeddings (RoPE) to extrapolate to longer sequence lengths. We propose using linear position interpolation to extend the extrapolation range of models using…

Computation and Language · Computer Science 2023-10-23 Faisal Al-Khateeb , Nolan Dey , Daria Soboleva , Joel Hestness

Regularization of neural machine translation is still a significant problem, especially in low-resource settings. To mollify this problem, we propose regressing word embeddings (ReWE) as a new regularization technique in a system that is…

Computation and Language · Computer Science 2019-04-05 Inigo Jauregi Unanue , Ehsan Zare Borzeshi , Nazanin Esmaili , Massimo Piccardi

Relative localization is critical for cooperation in autonomous multi-robot systems. Existing approaches either rely on shared environmental features or inertial assumptions or suffer from non-line-of-sight degradation and outliers in…

Robotics · Computer Science 2026-01-01 Zhehan Li , Zheng Wang , Jiadong Lu , Qi Liu , Zhiren Xun , Yue Wang , Fei Gao , Chao Xu , Yanjun Cao

Radial basis functions have become a popular tool for approximation and solution of partial differential equations (PDEs). The recently proposed multilevel sparse interpolation with kernels (MuSIK) algorithm proposed in \cite{Georgoulis}…

Numerical Analysis · Mathematics 2017-10-20 Yangzhang Zhao , Qi Zhang , Jeremy Levesley

Implicit neural representations (INRs), which leverage neural networks to represent signals by mapping coordinates to their corresponding attributes, have garnered significant attention. They are extensively utilized for image…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Sheng Zheng , Chaoning Zhang , Dongshen Han , Fachrina Dewi Puspitasari , Xinhong Hao , Yang Yang , Heng Tao Shen

This paper presents a deep relational metric learning (DRML) framework for image clustering and retrieval. Most existing deep metric learning methods learn an embedding space with a general objective of increasing interclass distances and…

Computer Vision and Pattern Recognition · Computer Science 2021-08-24 Wenzhao Zheng , Borui Zhang , Jiwen Lu , Jie Zhou

Kernel methods have been successfully applied to the areas of pattern recognition and data mining. In this paper, we mainly discuss the issue of propagating labels in kernel space. A Kernel-Induced Label Propagation (Kernel-LP) framework by…

Computer Vision and Pattern Recognition · Computer Science 2019-06-03 Zhao Zhang , Lei Jia , Mingbo Zhao , Guangcan Liu , Meng Wang , Shuicheng Yan

Positional Encodings (PEs) are used to inject word-order information into transformer-based language models. While they can significantly enhance the quality of sentence representations, their specific contribution to language models is not…

Computation and Language · Computer Science 2023-10-20 Lihu Chen , Gaël Varoquaux , Fabian M. Suchanek

Referring Expression Comprehension (REC), which aims to ground a local visual region via natural language, is a task that heavily relies on multimodal alignment. Most existing methods utilize powerful pre-trained models to transfer…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Ting Liu , Zunnan Xu , Yue Hu , Liangtao Shi , Zhiqiang Wang , Quanjun Yin

Contemporary approaches to instance segmentation in cell science use 2D or 3D convolutional networks depending on the experiment and data structures. However, limitations in microscopy systems or efforts to prevent phototoxicity commonly…

Computer Vision and Pattern Recognition · Computer Science 2023-01-27 Christopher Z. Eddy , Austin Naylor , Bo Sun