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We present a spatially efficient decomposition of matrices and arbitrary-order tensors as linear combinations of tensor products of $\{-1, 1\}$-valued vectors. For any matrix $A \in \mathbb{R}^{m \times n}$, $$A - R_w = S_w C_w T_w^\top =…

Combinatorics · Mathematics 2024-10-03 Alex W. Neal Riasanovsky , Sarah El Kazdadi

We consider the problem of coded distributed computing where a large linear computational job, such as a matrix multiplication, is divided into $k$ smaller tasks, encoded using an $(n,k)$ linear code, and performed over $n$ distributed…

Information Theory · Computer Science 2019-06-25 Mohammad Vahid Jamali , Mahdi Soleymani , Hessam Mahdavifar

We describe an efficient algorithm for computing the matrix vector products that appear in the numerical resolution of boundary integral equations in 2 space dimension. This work is an extension of the so-called Sparse Cardinal Sine…

Numerical Analysis · Mathematics 2017-11-22 Martin Averseng

Creative telescoping algorithms compute linear differential equations satisfied by multiple integrals with parameters. We describe a precise and elementary algorithmic version of the Griffiths-Dwork method for the creative telescoping of…

Symbolic Computation · Computer Science 2023-06-12 Alin Bostan , Pierre Lairez , Bruno Salvy

The reconfigurable intelligent surface is an emerging technology for wireless communications. We model it as an inhomogeneous boundary of surface impedance, and consider various optimization problems that offer different tradeoffs in terms…

Information Theory · Computer Science 2024-09-27 M. W. Shabir , M. Di Renzo , A. Zappone , M. Debbah

Spatial understanding is a fundamental aspect of computer vision and integral for human-level reasoning about images, making it an important component for grounded language understanding. While recent text-to-image synthesis (T2I) models…

Computer Vision and Pattern Recognition · Computer Science 2023-10-30 Tejas Gokhale , Hamid Palangi , Besmira Nushi , Vibhav Vineet , Eric Horvitz , Ece Kamar , Chitta Baral , Yezhou Yang

Existing offline feed-forward methods for joint scene understanding and reconstruction on long image streams often repeatedly perform global computation over an ever-growing set of past observations, causing runtime and GPU memory to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Renhe Zhang , Yuyang Tan , Jingyu Gong , Zhizhong Zhang , Lizhuang Ma , Yuan Xie , Xin Tan

We present a new framework for solving general topology optimization (TO) problems that find an optimal material distribution within a design space to maximize the performance of a structure while satisfying design constraints. These…

Numerical Analysis · Mathematics 2024-11-20 Zisheng Ye , Wenxiao Pan

Articulated objects are ubiquitous and important in robotics, AR/VR, and digital twins. Most self-supervised methods for articulated object modeling reconstruct discrete interaction states and relate them via cross-state geometric…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Haowen Wang , Xiaoping Yuan , Zhao Jin , Zhen Zhao , Zhengping Che , Yousong Xue , Jin Tian , Yakun Huang , Jian Tang

We introduce a scalable Gaussian process (GP) framework with deep product kernels for data-driven learning of parametrized spatio-temporal fields over fixed or parameter-dependent domains. The proposed framework learns a continuous…

Machine Learning · Computer Science 2026-03-03 Srinath Dama , Prasanth B. Nair

A real-time semantic 3D occupancy mapping framework is proposed in this paper. The mapping framework is based on the Bayesian kernel inference strategy from the literature. Two novel free space representations are proposed to efficiently…

Robotics · Computer Science 2021-07-08 Yuanxin Zhong , Huei Peng

Intelligent reflecting surface (IRS) is an emerging technology to enhance spatial multiplexing in wireless networks. This letter considers the discrete passive beamforming design for IRS in order to maximize the minimum…

Information Theory · Computer Science 2024-08-29 Wenhai Lai , Zheyu Wu , Yi Feng , Kaiming Shen , Ya-Feng Liu

A variational framework for structural topology optimization is developed, integrating quantum and classical latent encoding strategies within a coordinate-based neural decoding architecture. In this approach, a low-dimensional latent…

Computational Engineering, Finance, and Science · Computer Science 2025-06-24 Alireza Tabarraei

Text-to-CAD code generation is a long-horizon task that translates textual instructions into long sequences of interdependent operations. Existing methods typically decode text directly into executable code (e.g., bpy) without explicitly…

Artificial Intelligence · Computer Science 2026-04-14 Shengjie Gong , Wenjie Peng , Hongyuan Chen , Gangyu Zhang , Yunqing Hu , Huiyuan Zhang , Shuangping Huang , Tianshui Chen

Key generation is a promising technique to establish symmetric keys between resource-constrained legitimate users. However, key generation suffers from low secret key rate (SKR) in harsh environments where channel randomness is limited. To…

Information Theory · Computer Science 2022-08-02 Tianyu Lu , Liquan Chen , Junqing Zhang , Chen Chen , Aiqun Hu

This letter proposes to employ intelligent reflecting surface (IRS) as an information media to display a microwave quick response (QR) code for Internet-of-Things applications. To be specific, an IRS is used to form a dynamic bitmap image…

Signal Processing · Electrical Eng. & Systems 2022-08-08 Sai Xu , Yanan Du , Jiliang Zhang , Jie Zhang

This paper introduces a new class of error-correcting codes constructed from the ideal lattices of finite commutative ternary Gamma-semirings (TGS). Unlike classical linear or ring-linear codes, which rely on binary operations, TGS codes…

Rings and Algebras · Mathematics 2025-11-25 Chandrasekhar Gokavarapu , D. Madhusudhana Rao

Nonlinear time-dependent partial differential equations are essential in modeling complex phenomena across diverse fields, yet they pose significant challenges due to their computational complexity, especially in higher dimensions. This…

Machine Learning · Computer Science 2025-02-20 Yuan Chen , Abdul Khaliq , Khaled M. Furati

Spatial processes with nonstationary and anisotropic covariance structure are often used when modelling, analysing and predicting complex environmental phenomena. Such processes may often be expressed as ones that have stationary and…

Methodology · Statistics 2020-04-06 Andrew Zammit-Mangion , Tin Lok James Ng , Quan Vu , Maurizio Filippone

We address the problem of converting large-scale high-dimensional image data into binary codes so that approximate nearest-neighbor search over them can be efficiently performed. Different from most of the existing unsupervised approaches…

Computer Vision and Pattern Recognition · Computer Science 2015-12-02 Tsung-Yu Lin , Tsung-Wei Ke , Tyng-Luh Liu
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