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An efficient multigrid framework is developed for the time marching of steady-state compressible flows with a spatially high-order ($p$-order polynomial) modal discontinuous Galerkin method. The core algorithm that based on a global…

Computational Physics · Physics 2018-07-04 Shu-Jie Li

In this paper we will review recent advances in the application of the augmented Lagrange multiplier method as a general approach for generating multiplier--free stabilised methods. We first show how the method generates Galerkin/Least…

Numerical Analysis · Mathematics 2022-07-04 Erik Burman , Peter Hansbo , Mats G. Larson

As an excellent aided communication tool, intelligent reflecting surface (IRS) can make a significant rate enhancement and coverage extension. In this paper, we present an investigation on beamforming in an IRS-aided directional modulation…

Signal Processing · Electrical Eng. & Systems 2022-09-30 Yeqing Lin , Rongen Dong , Peng Zhang , Feng Shu , Jiangzhou Wang

We introduce a scheme for secure multi-party computation utilising the quantum correlations of entangled states. First we present a scheme for two-party computation, exploiting the correlations of a Greenberger-Horne-Zeilinger state to…

Quantum Physics · Physics 2010-07-27 Klearchos Loukopoulos , Daniel E. Browne

Current techniques for formally verifying circuits implemented in Galois field (GF) arithmetic are limited to those with a known irreducible polynomial P(x). This paper presents a computer algebra based technique that extracts the…

Symbolic Computation · Computer Science 2016-12-15 Cunxi Yu , Daniel Holcomb , Maciej Ciesielski

We present a quantum algorithm for multiplying two $n$-bit integers with overall circuit depth and $T$-depth both bounded by $O(\log^{2} n)$, while using $O(n^{2})$ gates and ancillary qubits. Our construction generates partial products via…

Quantum Physics · Physics 2026-04-14 Fred Sun , Anton Borissov

Despite excellent performance on many tasks, NLP systems are easily fooled by small adversarial perturbations of inputs. Existing procedures to defend against such perturbations are either (i) heuristic in nature and susceptible to stronger…

Computation and Language · Computer Science 2020-05-05 Erik Jones , Robin Jia , Aditi Raghunathan , Percy Liang

This paper is concerned with the modeling errors appeared in the numerical methods of inverse medium scattering problems (IMSP). Optimization based iterative methods are wildly employed to solve IMSP, which are computationally intensive due…

Numerical Analysis · Mathematics 2021-02-23 Junxiong Jia , Bangyu Wu , Jigen Peng , Jinghuai Gao

Hedging a portfolio containing autocallable notes presents unique challenges due to the complex risk profile of these financial instruments. In addition to hedging, pricing these notes, particularly when multiple underlying assets are…

Computational Engineering, Finance, and Science · Computer Science 2024-11-05 Anil Sharma , Freeman Chen , Jaesun Noh , Julio DeJesus , Mario Schlener

Let $S$ be a pool of $s$ parties and Alice be the dealer. In this paper, we propose a scheme that allows the dealer to encrypt messages in such a way that only one authorized coalition of parties (which the dealer chooses depending on the…

Cryptography and Security · Computer Science 2023-06-22 Vitaly Roman'kov

In this paper, a novel high-order, mass and energy-conserving scheme is proposed for the regularized logarithmic Schr\"{o}dinger equation(RLogSE). Based on the idea of the supplementary variable method (SVM), we firstly reformulate the…

Numerical Analysis · Mathematics 2024-11-11 Fan Yang , Zhida Zhou , Chaolong Jiang

Large Language Models (LLMs) face deployment challenges due to high computational costs, and while Post-Training Quantization (PTQ) offers a solution, existing rotation-based methods struggle at very low bit-widths like 2-bit. We introduce…

Machine Learning · Computer Science 2025-08-15 Euntae Choi , Sumin Song , Woosang Lim , Sungjoo Yoo

Secret sharing is a method of dividing a secret among n par- ticipants and allows only qualified subset to reconstruct the secret and hence provides better reliability and availability of secret data.In the generalized secret sharing…

Cryptography and Security · Computer Science 2014-07-15 V P Binu , A Sreekumar

We develop the proposal of non-systematic channel codes on the AWGN wire-tap channel. Such coding technique, based on scrambling, achieves high transmission security with a small degradation of the eavesdropper's channel with respect to the…

Information Theory · Computer Science 2013-01-14 Marco Baldi , Marco Bianchi , Franco Chiaraluce

This paper investigates the problem of Secure Multi-party Batch Matrix Multiplication (SMBMM), where a user aims to compute the pairwise products…

Information Theory · Computer Science 2021-07-21 Jinbao Zhu , Qifa Yan , Xiaohu Tang

The field of the coded modulations witnessed its golden era as the simulated achievable bit rates (ABRs) were getting close to the channel capacities of the finite alphabet inputs. However, when working at a single channel, the previous…

Information Theory · Computer Science 2019-09-19 Bingli Jiao , Dongsheng Zheng , Yuli Yang

This paper deals with distributed matrix multiplication. Each player owns only one row of both matrices and wishes to learn about one distinct row of the product matrix, without revealing its input to the other players. We first improve on…

Cryptography and Security · Computer Science 2016-07-14 Jean-Guillaume Dumas , Pascal Lafourcade , Jean-Baptiste Orfila , Maxime Puys

We propose a novel scheme that allows MIMO system to modulate a set of permutation matrices to send more information bits, extending our initial work on the topic. This system is called Permutation Matrix Modulation (PMM). The basic idea is…

Information Theory · Computer Science 2022-12-27 Rahmat Faddli Siregar , Nandana Rajatheva , Matti Latva-Aho

This paper proposes the use of the binary primes sequence to strengthen pseudorandom (PN) decimal sequences for cryptography applications. The binary primes sequence is added to the PN decimal sequence (where one can choose from many…

Cryptography and Security · Computer Science 2016-06-02 B. Prashanth Reddy , Subhash Kak

We present here two irreversible Markov chain Monte Carlo algorithms for general discrete state systems, one of the algorithms is based on the random-scan Gibbs sampler for discrete states and the other on its improved version, the…

Statistical Mechanics · Physics 2020-05-08 Fahim Faizi , George Deligiannidis , Edina Rosta