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We consider the additive white Gaussian noise channels. We prove that the error probability of decoding tends to one exponentially for rates above the capacity and derive the optimal exponent function. We shall demonstrate that the…

Information Theory · Computer Science 2017-02-07 Yasutada Oohama

Data augmentation is an effective performance enhancement in neural machine translation (NMT) by generating additional bilingual data. In this paper, we propose a novel data augmentation enhancement strategy for neural machine translation.…

Computation and Language · Computer Science 2020-04-30 Sufeng Duan , Hai Zhao , Dongdong Zhang , Rui Wang

How stable is the performance of your flash-based Solid State Drives (SSDs)? This question is central for database designers and administrators, cloud service providers, and SSD constructors. The answer depends on write-amplification, i.e.,…

Databases · Computer Science 2015-04-02 Niv Dayan , Luc Bouganim , Philippe Bonnet

The inverse probability weighting (IPW) is broadly utilized to address missing data problems including causal inference but may suffer from large variances and biases due to propensity score model misspecification. To solve these problems,…

Methodology · Statistics 2020-08-05 Hiroto Katsumata

A primary source of increased read time on NAND flash comes from the fact that in the presence of noise, the flash medium must be read several times using different read threshold voltages for the decoder to succeed. This paper proposes an…

Information Theory · Computer Science 2022-02-14 Borja Peleato , Rajiv Agarwal , John Cioffi , Minghai Qin , Paul H. Siegel

The C library \texttt{libkww} provides functions to compute the Kohlrausch-Williams-Watts function, i.e.\ the Laplace-Fourier transform of the stretched (or compressed) exponential function $\exp(-t^\beta)$ for exponents $\beta$ between 0.1…

Mathematical Physics · Physics 2012-11-26 Joachim Wuttke

Data augmentation is widely used in text classification, especially in the low-resource regime where a few examples for each class are available during training. Despite the success, generating data augmentations as hard positive examples…

Computation and Language · Computer Science 2023-08-10 Junfan Chen , Richong Zhang , Zheyan Luo , Chunming Hu , Yongyi Mao

Raw bit errors are common in NAND flash memory and will increase in the future. These errors reduce flash reliability and limit the lifetime of a flash memory device. We aim to improve flash reliability with a multitude of low-cost…

Hardware Architecture · Computer Science 2018-08-16 Yixin Luo

Non-volatile memory (NVM) technologies suffer from limited write endurance. To address this challenge, we propose Predict and Write (PNW), a K/V-store that uses a clustering-based machine learning approach to extend the lifetime of NVMs.…

Databases · Computer Science 2020-11-06 Saeed Kargar , Heiner Litz , Faisal Nawab

This paper introduces a new numerical method for approximating the Lambert W function in the real domain. The method transforms the function into a simpler form that allows iterative refinement of an initial guess. Two iterative strategies…

Numerical Analysis · Mathematics 2025-11-25 Narinder Kumar Wadhawan

The read channel of a Flash memory cell degrades after repetitive program and erase (P/E) operations. This degradation is often modeled as a function of the number of P/E cycles. In contrast, this paper models the degradation as a function…

Information Theory · Computer Science 2016-10-13 Haobo Wang , Nathan Wong , Tsung-Yi Chen , Richard D. Wesel

We consider critical site percolation on the triangular lattice in the upper half-plane. Let $u_1, u_2$ be two sites on the boundary and $w$ a site in the interior of the half-plane. It was predicted by Simmons, Kleban and Ziff in a paper…

Probability · Mathematics 2015-05-29 Rene Conijn

This paper summarizes our work on experimentally characterizing, mitigating, and recovering data retention errors in multi-level cell (MLC) NAND flash memory, which was published in HPCA 2015, and examines the work's significance and future…

Hardware Architecture · Computer Science 2018-05-09 Yu Cai , Yixin Luo , Erich F. Haratsch , Ken Mai , Saugata Ghose , Onur Mutlu

Existing Math Word Problem (MWP) solvers have achieved high accuracy on benchmark datasets. However, prior works have shown that such solvers do not generalize well and rely on superficial cues to achieve high performance. In this paper, we…

Computation and Language · Computer Science 2022-05-03 Vivek Kumar , Rishabh Maheshwary , Vikram Pudi

Although read disturbance has emerged as a major reliability concern, managing read disturbance in modern NAND flash memory has not been thoroughly investigated yet. From a device characterization study using real modern NAND flash memory,…

Hardware Architecture · Computer Science 2025-01-07 Myoungjun Chun , Jaeyong Lee , Inhyuk Choi , Jisung Park , Myungsuk Kim , Jihong Kim

Solutions to a wide variety of transcendental equations can be expressed in terms of the Lambert $\mathrm{W}$ function. The $\mathrm{W}$ function, occurring frequently in applications, is a non-elementary, but now standard mathematical…

Numerical Analysis · Mathematics 2021-05-21 Lajos Lóczi

The Lambert W function, implicitly defined by W(x) exp{W(x)}=x, is a "new" special function that has recently been the subject of an extended upsurge in interest and applications. In this note, I point out that the Lambert W function can…

Number Theory · Mathematics 2018-04-10 Matt Visser

For any infinite word $w$ on a finite alphabet $A$, the complexity function $p_w$ of $w$ is the sequence counting, for each non-negative $n$, the number $p_w(n)$ of words of length $n$ on the alphabet $A$ that are factors of the infinite…

Dynamical Systems · Mathematics 2018-03-16 Carlos Gustavo Moreira , Christian Mauduit , Sébastien Ferenczi

The strong Lucas test is a widely used probabilistic primality test in cryptographic libraries. When combined with the Miller-Rabin primality test, it forms the Baillie-PSW primality test, known for its absence of false positives,…

Cryptography and Security · Computer Science 2024-06-10 Semira Einsele , Gerhard Wunder

Graph spanners and emulators are sparse structures that approximately preserve distances of the original graph. While there has been an extensive amount of work on additive spanners, so far little attention was given to weighted graphs.…

Data Structures and Algorithms · Computer Science 2021-03-02 Michael Elkin , Yuval Gitlitz , Ofer Neiman
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