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We propose a new method for low-rank approximation of Moore-Penrose pseudoinverses (MPPs) of large-scale matrices using tensor networks. The computed pseudoinverses can be useful for solving or preconditioning of large-scale overdetermined…

Numerical Analysis · Mathematics 2016-07-06 Namgil Lee , Andrzej Cichocki

Efficient arithmetic circuit design for resourceconstrained hardware involves challenging combinatorial optimization problems, among which Multiple Constant Multiplication (MCM) is a prominent example. MCM aims at implementing…

Hardware Architecture · Computer Science 2026-05-26 Théo Cantaloube , Nicolai Fiege , Anastasia Volkova , Christine Solnon

The multilingual neural machine translation (MNMT) aims for arbitrary translations across multiple languages. Although MNMT-specific models trained on parallel data offer low costs in training and deployment, their performance consistently…

Computation and Language · Computer Science 2025-05-27 Zhi Qu , Yiran Wang , Jiannan Mao , Chenchen Ding , Hideki Tanaka , Masao Utiyama , Taro Watanabe

Rule-based machine translation is more data efficient than the big data-based machine translation approaches, making it appropriate for languages with low bilingual corpus resources -- i.e., minority languages. However, the rule-based…

Computation and Language · Computer Science 2019-04-29 Patrick Connor

Sparsity constrained minimization captures a wide spectrum of applications in both machine learning and signal processing. This class of problems is difficult to solve since it is NP-hard and existing solutions are primarily based on…

Optimization and Control · Mathematics 2018-12-31 Ganzhao Yuan , Bernard Ghanem

We present the Glasgow Parallel Reduction Machine (GPRM), a novel, flexible framework for parallel task-composition based many-core programming. We allow the programmer to structure programs into task code, written as C++ classes, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-11 Ashkan Tousimojarad , Wim Vanderbauwhede

Multilingual pretrained representations generally rely on subword segmentation algorithms to create a shared multilingual vocabulary. However, standard heuristic algorithms often lead to sub-optimal segmentation, especially for languages…

Computation and Language · Computer Science 2021-04-07 Xinyi Wang , Sebastian Ruder , Graham Neubig

Massively-parallel graph algorithms have received extensive attention over the past decade, with research focusing on three memory regimes: the superlinear regime, the near-linear regime, and the sublinear regime. The sublinear regime is…

Data Structures and Algorithms · Computer Science 2023-03-01 Orr Fischer , Adi Horowitz , Rotem Oshman

This paper describes a method for the automatic inference of structural transfer rules to be used in a shallow-transfer machine translation (MT) system from small parallel corpora. The structural transfer rules are based on alignment…

Computation and Language · Computer Science 2014-01-23 Felipe Sánchez-Martínez , Mikel L. Forcada

High-rate minimum storage regenerating (MSR) codes are known to require a large sub-packetization level, which can make meta-data management difficult and hinder implementation in practical systems. A few maximum distance separable (MDS)…

Information Theory · Computer Science 2023-08-29 Jie Li , Yi Liu , Xiaohu Tang , Yunghsiang S. Han , Bo Bai , Gong Zhang

Multiset rewriting systems provide a formalism particularly suitable for the description of biological systems. We present an extension of this formalism with additional controls on the derivations as a tool for reducing possible…

Formal Languages and Automata Theory · Computer Science 2023-12-21 Matej Troják , Samuel Pastva , David Šafránek , Luboš Brim

The physical register file supports increasing the execution width and depth of a superscalar microprocessor to exploit more instruction-level parallelism. The efficient design of the physical register file is critical since its resources,…

Hardware Architecture · Computer Science 2025-02-04 Denis Los

In this paper, we study the MapReduce framework from an algorithmic standpoint and demonstrate the usefulness of our approach by designing and analyzing efficient MapReduce algorithms for fundamental sorting, searching, and simulation…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-01-11 Michael T. Goodrich , Nodari Sitchinava , Qin Zhang

An implementation of GMRES with multiple preconditioners (MPGMRES) is proposed for solving shifted linear systems with shift-and-invert preconditioners. With this type of preconditioner, the Krylov subspace can be built without requiring…

Numerical Analysis · Mathematics 2016-03-31 Tania Bakhos , Peter Kitanidis , Scott Ladenheim , Arvind K. Saibaba , Daniel Szyld

Pretrained multilingual models (PMMs) enable zero-shot learning via cross-lingual transfer, performing best for languages seen during pretraining. While methods exist to improve performance for unseen languages, they have almost exclusively…

Computation and Language · Computer Science 2021-06-07 Abteen Ebrahimi , Katharina Kann

We present Pre-trained Machine Reader (PMR), a novel method for retrofitting pre-trained masked language models (MLMs) to pre-trained machine reading comprehension (MRC) models without acquiring labeled data. PMR can resolve the discrepancy…

Computation and Language · Computer Science 2023-10-17 Weiwen Xu , Xin Li , Wenxuan Zhang , Meng Zhou , Wai Lam , Luo Si , Lidong Bing

Extracting a small subset of representative tuples from a large database is an important task in multi-criteria decision making. The regret-minimizing set (RMS) problem is recently proposed for representative discovery from databases.…

Data Structures and Algorithms · Computer Science 2020-07-21 Yanhao Wang , Michael Mathioudakis , Yuchen Li , Kian-Lee Tan

In recent years, Neural Machine Translation (NMT) has been shown to be more effective than phrase-based statistical methods, thus quickly becoming the state of the art in machine translation (MT). However, NMT systems are limited in…

Computation and Language · Computer Science 2019-09-17 Surafel M. Lakew , Marcello Federico , Matteo Negri , Marco Turchi

We investigate the minimal number of failures that can partition a system where processes communicate both through shared memory and by message passing. We prove that this number precisely captures the resilience that can be achieved by…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-22 Hagit Attiya , Sweta Kumari , Noa Schiller

Recent studies have highlighted the limitations of large language models in mathematical reasoning, particularly their inability to capture the underlying logic. Inspired by meta-learning, we propose that models should acquire not only…

Computation and Language · Computer Science 2024-12-19 Kejie Chen , Lin Wang , Qinghai Zhang , Renjun Xu