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The weighted-Hamming metric generalizes the Hamming metric by assigning different weights to blocks of coordinates. It is well-suited for applications such as coding over independent parallel channels, each of which has a different level of…

信息论 · 计算机科学 2026-01-21 Sebastian Bitzer , Alberto Ravagnani , Violetta Weger

Quantum error correction (QEC) is often implemented on hardware that experiences biased noise, where dephasing errors occur more frequently than other errors. This has motivated many recent efforts to develop bias-tailored QEC codes, such…

量子物理 · 物理学 2026-05-28 Arianna Meinking , Julie Campos , Kenneth R. Brown

Beam search is a desirable choice of test-time decoding algorithm for neural sequence models because it potentially avoids search errors made by simpler greedy methods. However, typical cross entropy training procedures for these models do…

机器学习 · 计算机科学 2017-10-10 Kartik Goyal , Graham Neubig , Chris Dyer , Taylor Berg-Kirkpatrick

In this paper, we present an optimal metric function on average, which leads to a significantly low decoding computation while maintaining the superiority of the polarization-adjusted convolutional (PAC) codes' error-correction performance.…

信息论 · 计算机科学 2020-12-11 Mohsen Moradi

Quantization-Aware Training (QAT) has driven much attention to produce efficient neural networks. Current QAT still obtains inferior performances compared with the Full Precision (FP) counterpart. In this work, we argue that quantization…

计算机视觉与模式识别 · 计算机科学 2025-09-22 Junbiao Pang , Tianyang Cai , Baochang Zhang

Despite the progress in machine translation quality estimation and evaluation in the last years, decoding in neural machine translation (NMT) is mostly oblivious to this and centers around finding the most probable translation according to…

Although large language models (LLMs) have demonstrated their effectiveness in a wide range of applications, they have also been observed to perpetuate unwanted biases present in the training data, potentially leading to harm for…

计算与语言 · 计算机科学 2026-03-09 Schrasing Tong , Eliott Zemour , Jessica Lu , Rawisara Lohanimit , Lalana Kagal

Best-of-N (BoN) sampling with a reward model has been shown to be an effective strategy for aligning Large Language Models (LLMs) to human preferences at the time of decoding. BoN sampling is susceptible to a problem known as reward hacking…

计算与语言 · 计算机科学 2025-01-30 Yuu Jinnai , Tetsuro Morimura , Kaito Ariu , Kenshi Abe

The minimum-weight perfect matching (MWPM) decoder is a standard decoding strategy for surface codes, but its performance degrades considerably under biased noise. In this paper, a modified surface code, termed the XYZ planar code, is…

信息论 · 计算机科学 2026-05-25 Zhiwei Wang , Liqi Wang

We study two problems in neural machine translation (NMT). First, in beam search, whereas a wider beam should in principle help translation, it often hurts NMT. Second, NMT has a tendency to produce translations that are too short. Here, we…

计算与语言 · 计算机科学 2018-09-05 Kenton Murray , David Chiang

Surface codes exploit topological protection to increase error resilience in quantum computing devices and can in principle be implemented in existing hardware. They are one of the most promising candidates for active error correction, not…

量子物理 · 物理学 2016-09-22 Bettina Heim , Krysta M. Svore , Matthew B. Hastings

Beam search is the go-to method for decoding auto-regressive machine translation models. While it yields consistent improvements in terms of BLEU, it is only concerned with finding outputs with high model likelihood, and is thus agnostic to…

Over the last years, word and sentence embeddings have established as text preprocessing for all kinds of NLP tasks and improved the performances significantly. Unfortunately, it has also been shown that these embeddings inherit various…

计算与语言 · 计算机科学 2024-09-13 Sarah Schröder , Alexander Schulz , Philip Kenneweg , Robert Feldhans , Fabian Hinder , Barbara Hammer

The most common decision criteria for decoding are maximum likelihood decoding and nearest neighbor decoding. It is well-known that maximum likelihood decoding coincides with nearest neighbor decoding with respect to the Hamming metric on…

信息论 · 计算机科学 2015-06-12 Marcelo Firer , Judy L. Walker

A lower bound on the minimum mean-squared error (MSE) in a Bayesian estimation problem is proposed in this paper. This bound utilizes a well-known connection to the deterministic estimation setting. Using the prior distribution, the bias…

信息论 · 计算机科学 2009-05-27 Zvika Ben-Haim , Yonina C. Eldar

Quantum error mitigation (QEM) is a promising technique of protecting hybrid quantum-classical computation from decoherence, but it suffers from sampling overhead which erodes the computational speed. In this treatise, we provide a…

量子物理 · 物理学 2022-05-17 Yifeng Xiong , Daryus Chandra , Soon Xin Ng , Lajos Hanzo

While machine translation evaluation metrics based on string overlap (e.g., BLEU) have their limitations, their computations are transparent: the BLEU score assigned to a particular candidate translation can be traced back to the presence…

计算与语言 · 计算机科学 2022-10-26 Marzena Karpinska , Nishant Raj , Katherine Thai , Yixiao Song , Ankita Gupta , Mohit Iyyer

Independent parallel q-ary symmetric channels are a suitable transmission model for several applications. The proposed weighted-Hamming metric is tailored to this setting and enables optimal decoding performance. We show that some…

信息论 · 计算机科学 2024-02-16 Sebastian Bitzer , Alberto Ravagnani , Violetta Weger

Mixed-resolution architectures, combining high-resolution (analog) data with coarsely quantized (e.g., 1-bit) data, are widely employed in emerging communication and radar systems to reduce hardware costs and power consumption. However, the…

信号处理 · 电气工程与系统科学 2025-08-29 Yaniv Mazor , Tirza Routtenberg

In this work we explore possibilities for coding and decoding tailor-made for mean squared error evaluation of error in contexts such as image transmission. To do so, we introduce a loss function that expresses the overall performance of a…

信息论 · 计算机科学 2014-11-06 Marcelo Firer , Luciano Panek , Jerry Anderson Pinheiro