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Importance sampling (IS) is a Monte Carlo methodology that allows for approximation of a target distribution using weighted samples generated from another proposal distribution. Adaptive importance sampling (AIS) implements an iterative…

统计计算 · 统计学 2018-06-04 Yousef El-Laham , Victor Elvira , Monica F. Bugallo

Non-parametric entropy estimation on sequential data is a fundamental tool in signal processing, capturing information flow within or between processes to measure predictability, redundancy, or similarity. Methods based on longest common…

数据结构与算法 · 计算机科学 2025-10-16 Bridget Smart , Max Ward , Matthew Roughan

Decoding strategies play a central role in shaping the reasoning ability of large language models (LLMs). Traditional methods such as greedy decoding and beam search often suffer from error propagation, while sampling-based approaches…

Level-sensitive latches are widely used in high- performance designs. For such circuits efficient statistical timing analysis algorithms are needed to take increasing process vari- ations into account. But existing methods solving this…

其他计算机科学 · 计算机科学 2017-05-16 Bing Li , Ning Chen , Ulf Schlichtmann

This paper proposes a tensor-based parameter estimation algorithm for sensing in an intelligent reflecting surface-assisted system. We present a higher-order singular value decomposition-based solution that exploits the tensor structure of…

信号处理 · 电气工程与系统科学 2026-05-29 Kenneth B. A. Benício , Bruno Sokal , André L. F. de Almeida , Fazal-E-Asim , Behrooz Makki , Gábor Fodor

In this work, we propose a fully differentiable iterative decoder for quantum low-density parity-check (LDPC) codes. The proposed algorithm is composed of classical belief propagation (BP) decoding stages and intermediate graph neural…

量子物理 · 物理学 2026-05-14 Anqi Gong , Sebastian Cammerer , Joseph M. Renes

In this paper we present a new algorithm, denoted as TEP, to decode low-density parity-check (LDPC) codes over the Binary Erasure Channel (BEC). The TEP decoder is derived applying the expectation propagation (EP) algorithm with a tree-…

信息论 · 计算机科学 2012-01-05 Pablo M. Olmos , Juan José Murillo-Fuentes , Fernando Pérez-Cruz

We introduce Tiered Sampling, a novel technique for approximate counting sparse motifs in massive graphs whose edges are observed in a stream. Our technique requires only a single pass on the data and uses a memory of fixed size $M$, which…

数据结构与算法 · 计算机科学 2017-10-06 Lorenzo De Stefani , Erisa Terolli , Eli Upfal

Quantum error correction is necessary for achieving exponential speedups on important applications. The planar surface code has remained the most studied error-correcting code for the last two decades because of its relative simplicity.…

量子物理 · 物理学 2024-09-24 Suhas Vittal , Ali Javadi-Abhari , Andrew W. Cross , Lev S. Bishop , Moinuddin Qureshi

Importance sampling is a rare event simulation technique used in Monte Carlo simulations to bias the sampling distribution towards the rare event of interest. By assigning appropriate weights to sampled points, importance sampling allows…

机器人学 · 计算机科学 2025-05-14 Liam A. Kruse , Alexandros E. Tzikas , Harrison Delecki , Mansur M. Arief , Mykel J. Kochenderfer

The performance of low-density parity-check (LDPC) codes at high signal-to-noise ratios (SNRs) is known to be limited by the presence of certain sub-graphs that exist in the Tanner graph representation of the code, for example trapping sets…

信息论 · 计算机科学 2019-11-11 Homayoon Hatami , David G. M. Mitchell , Daniel J. Costello , Thomas E. Fuja

Classical trellis-coded modulation (TCM) as introduced by Ungerboeck in 1976/1983 uses a signal constellation of twice the cardinality compared to an uncoded transmission with one bit of redundancy per PAM symbol, i.e., application of codes…

信息论 · 计算机科学 2013-12-06 Fabian Schuh , Johannes B. Huber

Low-density parity-check (LDPC) codes are among the most prominent error-correction schemes. They find application to fortify various modern storage, communication, and computing systems. Protograph-based (PB) LDPC codes offer many degrees…

信息论 · 计算机科学 2025-12-29 Ata Tanrıkulu , Mete Yıldırım , Ahmed Hareedy

Large Language Models (LLMs) have shown outstanding performance across a variety of tasks, partly due to advanced prompting techniques. However, these techniques often require lengthy prompts, which increase computational costs and can…

计算与语言 · 计算机科学 2025-04-16 Jinwu Hu , Wei Zhang , Yufeng Wang , Yu Hu , Bin Xiao , Mingkui Tan , Qing Du

This paper introduces a novel adaptive framework for processing dynamic flow signals over simplicial complexes, extending classical least-mean-squares (LMS) methods to high-order topological domains. Building on discrete Hodge theory, we…

信号处理 · 电气工程与系统科学 2025-05-30 Lorenzo Marinucci , Claudio Battiloro , Paolo Di Lorenzo

The importance sampling (IS) method lies at the core of many Monte Carlo-based techniques. IS allows the approximation of a target probability distribution by drawing samples from a proposal (or importance) distribution, different from the…

应用统计 · 统计学 2017-04-21 Manuel A. Vázquez , Joaquín Míguez

The recent advancements in large language models (LLMs) have been extraordinary, yet the escalating inference costs associated with them present challenges in real-world applications. To address these challenges, we propose a novel approach…

计算与语言 · 计算机科学 2024-06-07 Jiahao Liu , Qifan Wang , Jingang Wang , Xunliang Cai

Speculative decoding (SD), where a draft model provides multiple candidate tokens for the target model to verify in parallel, has demonstrated significant potential for accelerating LLM inference. Yet, existing SD approaches adhere to a…

机器学习 · 计算机科学 2025-09-22 Enyu Zhou , Kai Sheng , Hao Chen , Xin He

We present the tree-structure expectation propagation (Tree-EP) algorithm to decode low-density parity-check (LDPC) codes over discrete memoryless channels (DMCs). EP generalizes belief propagation (BP) in two ways. First, it can be used…

信息论 · 计算机科学 2015-03-19 Pablo M. Olmos , Juan José Murillo-Fuentes , Fernando Pérez-Cruz

Deep neural network training spends most of the computation on examples that are properly handled, and could be ignored. We propose to mitigate this phenomenon with a principled importance sampling scheme that focuses computation on…

机器学习 · 计算机科学 2019-10-29 Angelos Katharopoulos , François Fleuret