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The complexity of software implementations of MDS erasure codes mainly depends on the efficiency of the finite field operations implementation. In this paper, we propose a method to reduce the complexity of the finite field multiplication…

Information Theory · Computer Science 2017-06-14 Jonathan Detchart , Jérôme Lacan

The advancement of deep learning has led to the development of neural decoders for low latency communications. However, neural decoders can be very complex which can lead to increased computation and latency. We consider iterative pruning…

Machine Learning · Computer Science 2022-11-17 Vikrant Malik , Rohan Ghosh , Mehul Motani

We give an algorithm to enumerate the results on trees of monadic second-order (MSO) queries represented by nondeterministic tree automata. After linear time preprocessing (in the input tree), we can enumerate answers with linear delay (in…

Databases · Computer Science 2019-08-28 Antoine Amarilli , Pierre Bourhis , Stefan Mengel , Matthias Niewerth

Lowering the resource overhead needed to achieve fault-tolerant quantum computation is crucial to building scalable quantum computers. We show that adapting conventional maximum likelihood (ML) decoders to a small subset of efficiently…

Quantum Physics · Physics 2025-07-14 Pavithran Iyer , Aditya Jain , Stephen D. Bartlett , Joseph Emerson

LSMR is a widely recognized method for solving least squares problems via the double QR decomposition. Various preconditioning techniques have been explored to improve its efficiency. One issue that arises when implementing these…

Numerical Analysis · Mathematics 2024-08-30 Mei Yang , Gul Karaduman , Ren-Cang Li

The past few years have witnessed a growing interest in LLM-based recommender systems (RSs), although their industrial deployment remains in a preliminary stage. Most existing deployments leverage LLMs offline as feature enhancers,…

Information Retrieval · Computer Science 2025-04-30 Yunjia Xi , Hangyu Wang , Bo Chen , Jianghao Lin , Menghui Zhu , Weiwen Liu , Ruiming Tang , Zhewei Wei , Weinan Zhang , Yong Yu

In this work, we present hardware and software implementations of flexible polar systematic encoders and decoders. The proposed implementations operate on polar codes of any length less than a maximum and of any rate. We describe the…

Information Theory · Computer Science 2016-08-29 Gabi Sarkis , Ido Tal , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

Multiple reads of the same Flash memory cell with distinct word-line voltages provide enhanced precision for LDPC decoding. In this paper, the word-line voltages are optimized by maximizing the mutual information (MI) of the quantized…

Information Theory · Computer Science 2014-02-20 Jiadong Wang , Kasra Vakilinia , Tsung-Yi Chen , Thomas Courtade , Guiqiang Dong , Tong Zhang , Hari Shankar , Richard Wesel

Concatenated bit-interleaved and multilevel coded modulation with outer Reed--Solomon codes, inner Chase-algorithm-based soft-decision-decoded Bose--Ray-Chaudhuri--Hocquenghem codes, and four-level pulse amplitude modulation is considered.…

Information Theory · Computer Science 2025-01-22 Alvin Y. Sukmadji , Frank R. Kschischang

Extensive efforts have been made to boost the performance in the domain of language models by introducing various attention-based transformers. However, the inclusion of linear layers with large dimensions contributes to significant…

Machine Learning · Computer Science 2024-11-19 Priyansh Bhatnagar , Linfeng Wen , Mingu Kang

Recent advances with large language models (LLM) illustrate their diverse capabilities. We propose a novel algorithm, staged speculative decoding, to accelerate LLM inference in small-batch, on-device scenarios. We address the low…

Artificial Intelligence · Computer Science 2023-08-10 Benjamin Spector , Chris Re

Despite being the standard loss function to train multi-class neural networks, the log-softmax has two potential limitations. First, it involves computations that scale linearly with the number of output classes, which can restrict the size…

Machine Learning · Computer Science 2016-05-30 Alexandre de Brébisson , Pascal Vincent

In this paper, the paradigm of sphere decoding (SD) for solving the integer least square problem (ILS) is revisited, where extra degrees of freedom are introduced to exploit the decoding potential. Firstly, the equivalent sphere decoding…

Information Theory · Computer Science 2025-12-23 Zheng Wang , Cong Ling , Shi Jin , Yongming Huang , Feifei Gao

A family of low-complexity detection schemes based on channel matrix puncturing targeted for large multiple-input multiple-output (MIMO) systems is proposed. It is well-known that the computational cost of MIMO detection based on QR…

Information Theory · Computer Science 2017-12-07 H. Sarieddeen , M. M. Mansour , A. Chehab

We present a diversity multiplexing tradeoff (DMT) optimal tree pruning sphere decoding algorithm which visits merely a single branch of the search tree of the sphere decoding (SD) algorithm, while maintaining the DMT optimality at high…

Signal Processing · Electrical Eng. & Systems 2019-10-22 Mohammad Neinavaie , Mostafa Derakhtian , Negar Daryanavardan , Sergiy Vorobyov

This work presents a fast successive-cancellation list flip (Fast-SCLF) decoding algorithm for polar codes that addresses the high latency issue associated with the successive-cancellation list flip (SCLF) decoding algorithm. We first…

Information Theory · Computer Science 2022-01-25 Nghia Doan , Seyyed Ali Hashemi , Warren J. Gross

In the setting of quasi-static multiple-input multiple-output (MIMO) channels, we consider the high signal-to-noise ratio (SNR) asymptotic complexity required by the sphere decoding (SD) algorithm for decoding a large class of full rate…

Information Theory · Computer Science 2011-02-08 Joakim Jalden , Petros Elia

Large language models (LLMs) are increasingly needed for interactive mobile applications, but high-quality models exceed the limited DRAM available on smartphones. Flash storage can hold larger models, yet flash-backed inference is slow…

Machine Learning · Computer Science 2026-05-19 Tuowei Wang , Fengzu Li , Yanfan Sun , Wei Gao , Ju Ren

We provide the first tensor network method for computing quantum weight enumerator polynomials in the most general form. If a quantum code has a known tensor network construction of its encoding map, our method is far more efficient, and in…

Quantum Physics · Physics 2024-03-05 ChunJun Cao , Michael J. Gullans , Brad Lackey , Zitao Wang

Various layer-skipping methods have been proposed to accelerate token generation in large language models (LLMs). However, limited attention has been paid to a fundamental question: How do computational demands vary across the generation of…

Computation and Language · Computer Science 2025-10-10 Xuan Luo , Weizhi Wang , Xifeng Yan