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We suggest an upper bound on binomial coefficients that holds over the entire parameter range and whose form repeats the form of the de Moivre-Laplace approximation of the symmetric binomial distribution. Using the bound, we estimate the…

Combinatorics · Mathematics 2022-05-17 Sergey Agievich

This paper derives the analytical solution of a novel distributed node-specific block-diagonal linearly constrained minimum variance beamformer from the centralized linearly constrained minimum variance (LCMV) beamformer when considering…

Audio and Speech Processing · Electrical Eng. & Systems 2020-10-27 Xinwei Guo , Minmin Yuan , Chengshi Zheng , Xiaodong Li

Multi-antenna coded caching (CC) with multicast beamforming typically relies on a complex successive interference cancellation (SIC) structure to decode a superposition of multiple streams received by each user. Signal-level CC schemes…

Information Theory · Computer Science 2025-01-28 MohammadJavad Sojdeh , MohammadJavad Salehi , Antti Tölli

In this paper, we consider hybrid beamforming designs for multiuser massive multiple-input multiple-output (MIMO)-orthogonal frequency division multiplexing (OFDM) systems. Aiming at maximizing the weighted spectral efficiency, we propose…

Signal Processing · Electrical Eng. & Systems 2019-07-30 Jingbo Du , Wei Xu , Chunming Zhao , Luc Vandendorpe

We characterize the pre-softmax attention matrix $\mathbf{QK^\top}$ in transformers as an associative memory matrix encoding pairwise associations between input features. By decomposing this matrix into its symmetric and skew-symmetric…

Machine Learning · Computer Science 2026-05-28 Hyunmin Cho , Woo Kyoung Han , Kyong Hwan Jin

This paper deals with the problem of beamforming design in a multibeam satellite, which is shared by different groups of terminals -clusters-, each served by an Earth station or gateway. Each gateway precodes the symbols addressed to its…

Information Theory · Computer Science 2017-05-24 Carlos Mosquera , Roberto Lopez-Valcarce , Vahid Joroughi

We present the shift-dimension of multipersistence modules and investigate its algebraic properties. This gives rise to a new invariant of multigraded modules over the multivariate polynomial ring arising from the hierarchical stabilization…

Commutative Algebra · Mathematics 2025-05-27 Wojciech Chachólski , René Corbet , Anna-Laura Sattelberger

Integer sorting on multicores and GPUs can be realized by a variety of approaches that include variants of distribution-based methods such as radix-sort, comparison-oriented algorithms such as deterministic regular sampling and random…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-31 Alexandros V. Gerbessiotis

Inference methods play an important role in eliciting the performance of large language models (LLMs). Currently, LLMs use inference methods utilizing generated multiple samples, which can be derived from Minimum Bayes Risk (MBR) Decoding.…

Computation and Language · Computer Science 2025-06-10 Hidetaka Kamigaito , Hiroyuki Deguchi , Yusuke Sakai , Katsuhiko Hayashi , Taro Watanabe

The detection of B-modes in the CMB polarization pattern is a major issue in modern cosmology and must therefore be handled with analytical methods that produce reliable results. We describe a method that uses the frequency dependency of…

Matrix pair beamformer (MPB) is a promising blind beamformer which exploits the temporal signature of the signal of interest (SOI) to acquire its spatial statistical information. It does not need any knowledge of directional information or…

Computational Engineering, Finance, and Science · Computer Science 2010-10-04 Jian Wang , Jianshu Chen , Jian Yuan , Ning Ge , Shuangqing Wei

Low-complexity beamformer design with practical constraints is an attractive research area for hybrid analog/digital systems in mm-wave massive multiple-input multiple-output (MIMO). This paper investigates interference-aware pre-beamformer…

Information Theory · Computer Science 2024-10-28 Murat Bayraktar , Gokhan Muzaffer Guvensen

The anti-interference capability of wireless links is a physical layer problem for edge computing. Although convolutional codes have inherent error correction potential due to the redundancy introduced in the data, the performance of the…

Information Theory · Computer Science 2022-11-15 Haoyu Li , Xuan Wang , Tong Liu , Dingyi Fang , Baoying Liu

Biphoton frequency comb (BFC), which encompasses multiple discrete frequency modes and represents high-dimensional frequency entanglement, is crucial in quantum information processing due to its high information capacity and error…

Quantum Physics · Physics 2025-07-30 Baihong Li , Qi-qi Li , Boxin Yuan , Ruifang Dong , Shougang Zhang , Rui-Bo Jin

This paper studies the diversity of protographbased quasi-cyclic low-density parity-check (QC-LDPC) codes over nonergodic block-fading channels under iterative beliefpropagation decoding. We introduce diversity evolution (DivE), a…

Information Theory · Computer Science 2026-02-02 Hyuntae Ahn , Inki Kim , Hee-Youl Kwak , Yongjune Kim , Chanki Kim , Sang-Hyo Kim

This paper optimizes the beamforming design of a downlink multiple-input multiple-output (MIMO) dual-function radar-communication (DFRC) system to maximize the weighted communication sum-rate under a prescribed transmit covariance…

Signal Processing · Electrical Eng. & Systems 2023-09-18 Chenhao Yang , Xin Wang , Wei Ni , Yi Jiang

The presence of a phase transition in a finite system can be deduced, together with its order, from the shape of the distribution of the order parameter. This issue has been extensively studied in multifragmentation experiments, with…

Nuclear Theory · Physics 2008-11-26 F. Gulminelli

Parameter learning for high-dimensional, partially observed, and nonlinear stochastic processes is a methodological challenge. Spatiotemporal disease transmission systems provide examples of such processes giving rise to open inference…

Machine Learning · Statistics 2023-04-05 Ning Ning , Edward L. Ionides

Multimodal learning significantly benefits cancer survival prediction, especially the integration of pathological images and genomic data. Despite advantages of multimodal learning for cancer survival prediction, massive redundancy in…

Computer Vision and Pattern Recognition · Computer Science 2024-02-27 Yilan Zhang , Yingxue Xu , Jianqi Chen , Fengying Xie , Hao Chen

We consider the decoding of LDPC codes over GF(q) with the low-complexity majority algorithm from [1]. A modification of this algorithm with multiple thresholds is suggested. A lower estimate on the decoding radius realized by the new…

Information Theory · Computer Science 2015-02-25 Alexey Frolov , Victor Zyablov