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Finite alphabet iterative decoders (FAID) with multilevel messages that can surpass BP in the error floor region for LDPC codes on the BSC were previously proposed. In this paper, we propose decimation-enhanced decoders. The technique of…

信息论 · 计算机科学 2011-03-07 Shiva Kumar Planjery , Bane Vasic , David Declercq

In this study, we report that quantum quasi-cyclic low-density parity-check codes decoded via joint belief propagation (BP) exhibit steep error-rate curves, despite the presence of error floors. To the best of our knowledge, this is the…

量子物理 · 物理学 2025-07-17 Daiki Komoto , Kenta Kasai

Prompt tuning has emerged as an effective rehearsal-free technique for class-incremental learning (CIL) that learns a tiny set of task-specific parameters (or prompts) to instruct a pre-trained transformer to learn on a sequence of tasks.…

计算机视觉与模式识别 · 计算机科学 2024-05-27 Thomas De Min , Massimiliano Mancini , Stéphane Lathuilière , Subhankar Roy , Elisa Ricci

Belief-propagation (BP) decoding for quantum low-density parity-check (QLDPC) codes is appealing due to its low complexity, yet it often exhibits convergence issues due to quantum degeneracy and short cycles that exist in the Tanner graph.…

信息论 · 计算机科学 2026-03-12 Mohsen Moradi , Vahid Nourozi , Salman Habib , David G. M. Mitchell

This paper proposes a new importance sampling (IS) that is tailored to quasi-Monte Carlo (QMC) integration over $\mathbb{R}^s$. IS introduces a multiplicative adjustment to the integrand by compensating the sampling from the proposal…

数值分析 · 数学 2025-09-19 Zexin Pan , Du Ouyang , Zhijian He

Lookup table decoding is fast and distance-preserving, making it attractive for near-term quantum computer architectures with small-distance quantum error-correcting codes. In this work, we develop several optimization tools that can…

量子物理 · 物理学 2024-05-17 Balint Pato , Theerapat Tansuwannont , Shilin Huang , Kenneth R. Brown

Statistical signal processing applications usually require the estimation of some parameters of interest given a set of observed data. These estimates are typically obtained either by solving a multi-variate optimization problem, as in the…

统计计算 · 统计学 2021-07-27 D. Luengo , L. Martino , M. Bugallo , V. Elvira , S. Särkkä

We propose the use of certain low-density generator-matrix (LDGM) codes as syndrome measurement (SM) codes for quantum low-density parity check (QLDPC) codes. We use an efficient progressive-edge-growth-like algorithm to create LDGM SM…

量子物理 · 物理学 2026-05-26 Eren Guttentag , Anthony Gómez-Fonseca

We describe a family of instanton-based optimization methods developed recently for the analysis of the error floors of low-density parity-check (LDPC) codes. Instantons are the most probable configurations of the channel noise which result…

信息论 · 计算机科学 2016-11-17 Shashi Kiran Chilappagari , Michael Chertkov , Mikhail G. Stepanov , Bane Vasic

In-Memory Computing (IMC) introduces a new paradigm of computation that offers high efficiency in terms of latency and power consumption for AI accelerators. However, the non-idealities and defects of emerging technologies used in advanced…

Low-rank Tucker and CP tensor decompositions are powerful tools in data analytics. The widely used alternating least squares (ALS) method, which solves a sequence of over-determined least squares subproblems, is costly for large and sparse…

数值分析 · 数学 2021-08-26 Linjian Ma , Edgar Solomonik

The real-world effectiveness of deep neural networks often depends on their latency, thereby necessitating optimization techniques that can reduce a model's inference time while preserving its performance. One popular approach is to…

机器学习 · 计算机科学 2024-10-10 Jakob Hartmann , Guoliang He , Eiko Yoneki

The Massively Parallel Computation (MPC) model is an emerging model which distills core aspects of distributed and parallel computation. It has been developed as a tool to solve (typically graph) problems in systems where the input is…

数据结构与算法 · 计算机科学 2020-02-20 Artur Czumaj , Peter Davies , Merav Parter

Standard Importance Sampling (IS) collapses under label corruption because high-norm examples, prioritized for variance reduction, are often adversarial outliers. We formalize this misalignment using an $\varepsilon$-contamination model and…

机器学习 · 计算机科学 2026-05-11 Csongor Horváth , Ida-Maria Sintorn , Prashant Singh

Markov chain Monte Carlo methods are a powerful and commonly used family of numerical methods for sampling from complex probability distributions. As applications of these methods increase in size and complexity, the need for efficient…

数值分析 · 数学 2019-01-31 Colin Cotter , Simon Cotter , Paul Russell

Shaping gain is attained in schemes where a shaped subcode is chosen from a larger codebook by a codeword selection process. This includes the popular method of Trellis Shaping (TS), originally proposed by Forney for average power…

信息论 · 计算机科学 2013-08-28 Stella Achtenberg , Dan Raphaeli

We introduce tensor Interpolative Decomposition (tensor ID) for the reduction of the separation rank of Canonical Tensor Decompositions (CTDs). Tensor ID selects, for a user-defined accuracy \epsilon, a near optimal subset of terms of a CTD…

数值分析 · 数学 2013-12-18 David J. Biagioni , Daniel Beylkin , Gregory Beylkin

Simulated tempering (ST) is an established Markov chain Monte Carlo (MCMC) method for sampling from a multimodal density $\pi(\theta)$. Typically, ST involves introducing an auxiliary variable $k$ taking values in a finite subset of $[0,1]$…

统计计算 · 统计学 2008-11-03 Robert B. Gramacy , Richard J. Samworth , Ruth King

Recent papers have developed alternating least squares (ALS) methods for CP and tensor ring decomposition with a per-iteration cost which is sublinear in the number of input tensor entries for low-rank decomposition. However, the…

数值分析 · 数学 2022-06-22 Osman Asif Malik

Incremental semantic segmentation(ISS) is an emerging task where old model is updated by incrementally adding new classes. At present, methods based on convolutional neural networks are dominant in ISS. However, studies have shown that such…

计算机视觉与模式识别 · 计算机科学 2022-11-21 Zekai Xu , Mingyi Zhang , Jiayue Hou , Xing Gong , Chuan Wen , Chengjie Wang , Junge Zhang