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We introduce and analyze a discrete soft-decision channel called the linear reliability channel (LRC) in which the soft information is the rank ordering of the received symbol reliabilities. We prove that the LRC is an appropriate…

Information Theory · Computer Science 2025-09-11 Alexander Mariona , Ken R. Duffy , Muriel Médard

This paper studies the capacity of discrete-time multipath fading channels. It is assumed that the number of paths is finite, i.e., that the channel output is influenced by the present and by the L previous channel inputs. A noncoherent…

Information Theory · Computer Science 2008-05-01 Tobias Koch , Amos Lapidoth

An energy/area-efficient low-cost broadband linearity enhancement technique for electro-optic micro-ring modulators (MRM) is proposed to achieve 6.1-dB dynamic linearity improvement in spurious-free-dynamic-range with intermodulation…

Systems and Control · Electrical Eng. & Systems 2024-07-17 Sumilak Chaudhury , Karl Johnson , Chengkuan Gao , Bill Lin , Yeshaiahu Fainman , Tzu-Chien Hsueh

Deep neural network is a state-of-art method in modern science and technology. Much statistical literature have been devoted to understanding its performance in nonparametric estimation, whereas the results are suboptimal due to a redundant…

Machine Learning · Computer Science 2021-08-18 Ruiqi Liu , Ben Boukai , Zuofeng Shang

The logarithmic and anti-logarithmic converters are realized with the piecewise linear approximation method, which is implemented by the shift-and-add architecture. This brief utilizes the similarities of Log and Antilog functions so that…

Signal Processing · Electrical Eng. & Systems 2020-11-13 Botao Xiong , Yuanfeng Sui

Traditional binned statistics such as $\chi^2$ suffer from information loss and arbitrariness of the binning procedure. We point out that the underlying statistical quantity (the log likelihood $L$) does not require any binning beyond the…

A statistical estimation algorithm of the weight distribution of a linear code is shown, based on using its generator matrix as a compression function on random bit strings.

Information Theory · Computer Science 2018-06-07 Alessandro Tomasi , Alessio Meneghetti

Large language models (LLMs) have transformed natural-language processing, yet their scale makes real-world deployment costly. Post-training quantization reduces memory and computation but often degrades accuracy, while quantization-aware…

Machine Learning · Computer Science 2025-05-15 Cody Steinmetz , Gavin Childress , Aaron Herbst , Gavin Jones , Jasdeep Singh , Eli Vang , Keagan Weinstock

Linear covariance (LinCov) techniques have gained widespread traction in the modeling of uncertainty, including in the preliminary study of spacecraft navigation performance. While LinCov methods offer improved computational efficiency…

Signal Processing · Electrical Eng. & Systems 2025-12-30 Jackson Kulik , Braden Hastings , Keith A. LeGrand

This paper investigates two inexact Levenberg-Marquardt (LM) methods for solving systems of nonlinear equations. Both approaches compute approximate search directions by solving the LM linear system inexactly, subject to specific…

Optimization and Control · Mathematics 2025-07-23 Bas Symoens , Morteza Rahimi , Masoud Ahookhosh

We consider log-supermodular models on binary variables, which are probabilistic models with negative log-densities which are submodular. These models provide probabilistic interpretations of common combinatorial optimization tasks such as…

Machine Learning · Statistics 2016-08-19 Tatiana Shpakova , Francis Bach

Many problems in computer science and applied mathematics require rounding a vector $\mathbf{w}$ of fractional values lying in the interval $[0,1]$ to a binary vector $\mathbf{x}$ so that, for a given matrix $\mathbf{A}$,…

Data Structures and Algorithms · Computer Science 2020-08-04 Lily Li , Aleksandar Nikolov

Maximum-likelihood (ML) detection in high-order MIMO systems is computationally prohibitive due to exponential complexity in the number of transmit layers and constellation size. In this white paper, we demonstrate that for practical MIMO…

Signal Processing · Electrical Eng. & Systems 2026-03-16 Logeshwaran Vijayan

In this paper we analyze the performance of several bit-interleaving strategies applied to Non-Binary Low-Density Parity-Check (LDPC) codes over the Rayleigh fading channel. The technique of bit-interleaving used over fading channel…

Information Theory · Computer Science 2013-01-21 Valentin Savin , David Declercq

For a long time, designing neural architectures that exhibit high performance was considered a dark art that required expert hand-tuning. One of the few well-known guidelines for architecture design is the avoidance of exploding gradients,…

Machine Learning · Computer Science 2021-06-10 George Philipp , Jaime G. Carbonell

Large language models (LLMs) have significantly advanced the field of natural language processing, while the expensive memory and computation consumption impede their practical deployment. Quantization emerges as one of the most effective…

Machine Learning · Computer Science 2024-02-20 Hong Chen , Chengtao Lv , Liang Ding , Haotong Qin , Xiabin Zhou , Yifu Ding , Xuebo Liu , Min Zhang , Jinyang Guo , Xianglong Liu , Dacheng Tao

How to effectively approximate real-valued parameters with binary codes plays a central role in neural network binarization. In this work, we reveal an important fact that binarizing different layers has a widely-varied effect on the…

Computer Vision and Pattern Recognition · Computer Science 2018-02-19 Lixue Zhuang , Yi Xu , Bingbing Ni , Hongteng Xu

To resolve the non-convex optimization problem in partial wave analysis, this paper introduces a novel approach that incorporates fraction constraints into the likelihood function. This method offers significant improvements in both the…

High Energy Physics - Experiment · Physics 2024-01-22 Xiang Dong , Chu-Cheng Pan , Yu-Chang Sun , Ao-Yan Cheng , Ao-Bo Wang , Hao Cai , Kai Zhu

The asymptotic results pertaining to the distribution of the log likelihood ratio allow for the creation of a confidence region, which is a general extension of the confidence interval. Two and three dimensional regions can be displayed…

Methodology · Statistics 2017-03-08 Adam Jaeger

For frequency division duplex channels, a simple pilot loop-back procedure has been proposed that allows the estimation of the UL & DL channels at an antenna array without relying on any digital signal processing at the terminal side. For…

Information Theory · Computer Science 2017-11-22 Stefan Wesemann , Thomas L. Marzetta