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We present an efficient algorithm for calculating $q$-gram frequencies on strings represented in compressed form, namely, as a straight line program (SLP). Given an SLP $\mathcal{T}$ of size $n$ that represents string $T$, the algorithm…

Data Structures and Algorithms · Computer Science 2013-05-27 Keisuke Goto , Hideo Bannai , Shunsuke Inenaga , Masayuki Takeda

Due to their large size, generative Large Language Models (LLMs) require significant computing and storage resources. This paper introduces a new post-training quantization method, GPTQT, to reduce memory usage and enhance processing speed…

Machine Learning · Computer Science 2024-07-04 Yipin Guo , Yilin Lang , Qinyuan Ren

In the past two decades, quantum key distribution networks based on telecom fibers have been implemented on metropolitan and intercity scales. One of the bottlenecks lies in the exponential decay of the key rate with respect to the…

The first 5G (5th generation wireless systems) New Radio Release-15 was recently completed. However, the specification only considers the use of unicast technologies and the extension to point-to-multipoint (PTM) scenarios is not yet…

Networking and Internet Architecture · Computer Science 2020-01-10 Hongzhi Chen , De Mi , Manuel Fuentes , David Vargas , Eduardo Garro , Jose Luis Carcel , Belkacem Mouhouche , Pei Xiao , Rahim Tafazolli

We introduce the Byte Latent Transformer (BLT), a new byte-level LLM architecture that, for the first time, matches tokenization-based LLM performance at scale with significant improvements in inference efficiency and robustness. BLT…

A new approach for decoding binary linear codes by solving a linear program (LP) over a relaxed codeword polytope was recently proposed by Feldman et al. In this paper we investigate the structure of the polytope used in the LP relaxation…

Information Theory · Computer Science 2007-07-13 Alexandros G. Dimakis , Martin J. Wainwright

As the take-up of Long Term Evolution (LTE)/4G cellular accelerates, there is increasing interest in technologies that will define the next generation (5G) telecommunication standard. This paper identifies several emerging technologies…

Networking and Internet Architecture · Computer Science 2016-11-18 Woon Hau Chin , Zhong Fan , Russell J. Haines

Long distance quantum communication will require the use of quantum repeaters to overcome the exponential attenuation of signal with distance. One class of such repeaters utilizes quantum error correction to overcome losses in the…

Quantum Physics · Physics 2024-07-31 Filip Rozpędek , Kaushik P. Seshadreesan , Paul Polakos , Liang Jiang , Saikat Guha

Discrete Fourier transforms~(DFTs) over finite fields have widespread applications in digital communication and storage systems. Hence, reducing the computational complexities of DFTs is of great significance. Recently proposed cyclotomic…

Information Theory · Computer Science 2015-05-19 Xuebin Wu , Meghanad Wagh , Ning Chen , Zhiyuan Yan , Ying Wang

With the arrival of next generation wireless communication, a growing number of new applications like internet of things, autonomous driving systems, and drone are crowding the unlicensed spectrum. Licensed network such as the long-term…

Machine Learning · Computer Science 2021-07-07 Po-Kan Shih , Bahman Moraffah

Let $q=2^m.$ In a recent paper \cite{Zhang3}, Zhang and Zheng investigated several classes of permutation pentanomials of the form $\epsilon_0x^{d_0}+L(\epsilon_{1}x^{d_1}+\epsilon_{2}x^{d_2})$ over ${\mathbb F}_{q^3}~(d_0=1,2,4)$ from some…

Number Theory · Mathematics 2025-01-28 Tongliang Zhang , Lijing Zheng , Hengtai Wang , Jie Peng , Yanjun Li

For all finite fields of $q$ elements where $q\equiv1\pmod4$ we have constructed permutation polynomials which have order 2 as permutations, and have 3 terms, or 4 terms as polynomials. Explicit formulas for their coefficients are given in…

Number Theory · Mathematics 2023-11-28 P Vanchinathan , Anitha G

Code translation aims to convert a program from one programming language (PL) to another. This long-standing software engineering task is crucial for modernizing legacy systems, ensuring cross-platform compatibility, enhancing performance,…

Software Engineering · Computer Science 2024-11-06 Marcos Macedo , Yuan Tian , Pengyu Nie , Filipe R. Cogo , Bram Adams

Given a way to evaluate an unknown polynomial with integer coefficients, we present new algorithms to recover its nonzero coefficients and corresponding exponents. As an application, we adapt this interpolation algorithm to the problem of…

Symbolic Computation · Computer Science 2022-05-19 Pascal Giorgi , Bruno Grenet , Armelle Perret du Cray , Daniel S. Roche

We propose two types, namely Type-I and Type-II, quantum stabilizer codes using quadratic residue sets of prime modulus given by the form $p=4n\pm1$. The proposed Type-I stabilizer codes are of cyclic structure and code length $N=p$. They…

Information Theory · Computer Science 2014-08-01 Yixuan Xie , Jinhong Yuan , Qifu , Sun

Large language models (LLMs) such as ChatGPT, Gemini, LlaMa, and Claude are trained on massive quantities of text parsed from the internet and have shown a remarkable ability to respond to complex prompts in a manner often indistinguishable…

Optics · Physics 2025-04-01 Darui Lu , Yang Deng , Jordan M. Malof , Willie J. Padilla

Thin-film lithium niobate (TFLN) based frequency doublers have been widely recognized as essential components for both classical and quantum optical communications. Nonetheless, the efficiency of these devices is hindered by imperfections…

This paper presents an efficient quadratic programming (QP) decoder via the alternating direction method of multipliers (ADMM) technique, called QP-ADMM, for binary low-density parity-check (LDPC) codes. Its main contents are as follows:…

Information Theory · Computer Science 2020-02-19 Jing Bai , Yongchao Wang , Qingjiang Shi

Large language models (LLMs) have significantly advanced natural language processing, but their massive parameter counts create substantial computational and memory challenges during deployment. Post-training quantization (PTQ) has emerged…

Machine Learning · Computer Science 2025-11-25 Cuong Pham , Hoang Anh Dung , Cuong C. Nguyen , Trung Le , Gustavo Carneiro , Thanh-Toan Do

The concept of symmetric extendibility has recently drawn attention in the context of tolerable error rates in quantum cryptography, where it can be used to decide whether quantum states shared between two parties can be purified by means…

Quantum Physics · Physics 2009-12-09 Kedar S. Ranade
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