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Most dense retrieval models contain an implicit assumption: the training query-document pairs are exactly matched. Since it is expensive to annotate the corpus manually, training pairs in real-world applications are usually collected…

计算与语言 · 计算机科学 2023-11-08 Hang Zhang , Yeyun Gong , Xingwei He , Dayiheng Liu , Daya Guo , Jiancheng Lv , Jian Guo

As the building block in symmetric cryptography, designing Boolean functions satisfying multiple properties is an important problem in sequence ciphers, block ciphers, and hash functions. However, the search of $n$-variable Boolean…

量子物理 · 物理学 2020-02-19 Feng Hu , Lucas Lamata , Mikel Sanz , Xi Chen , Xingyuan Chen , Chao Wang , Enrique Solano

Canonical correlation analysis (CCA) is a widely used technique for estimating associations between two sets of multi-dimensional variables. Recent advancements in CCA methods have expanded their application to decipher the interactions of…

机器学习 · 统计学 2025-02-05 Hongju Park , Shuyang Bai , Zhenyao Ye , Hwiyoung Lee , Tianzhou Ma , Shuo Chen

The quantum SearchRank algorithm is a promising tool for a future quantum search engine based on PageRank quantization. However, this algorithm loses its functionality when the $N/M$ ratio between the network size $N$ and the number of…

量子物理 · 物理学 2024-10-22 Sergio A. Ortega , Miguel A. Martin-Delgado

Quantized Neural Networks (QNNs), which use low bitwidth numbers for representing parameters and performing computations, have been proposed to reduce the computation complexity, storage size and memory usage. In QNNs, parameters and…

计算机视觉与模式识别 · 计算机科学 2017-06-23 Shuchang Zhou , Yuzhi Wang , He Wen , Qinyao He , Yuheng Zou

Here we consider an approach for fast computing the algebraic degree of Boolean functions. It combines fast computing the ANF (known as ANF transform) and thereafter the algebraic degree by using the weight-lexicographic order (WLO) of the…

离散数学 · 计算机科学 2019-05-22 Valentin Bakoev

A new methodology is proposed to solve classical Boolean problems as Hamiltonians, using the quantum approximate optimization algorithm (QAOA). Our methodology successfully finds all optimized approximated solutions for Boolean problems,…

量子物理 · 物理学 2024-07-11 Ali Al-Bayaty , Marek Perkowski

A Pseudo-Boolean (PB) constraint is a linear arithmetic constraint over Boolean variables. PB constraints are convenient and widely used in expressing NP-complete problems. We introduce a new, two step, method for transforming PB…

计算机科学中的逻辑 · 计算机科学 2015-03-19 Amir Aavani

Canonical correlation analysis (CCA) is a classical representation learning technique for finding correlated variables in multi-view data. Several nonlinear extensions of the original linear CCA have been proposed, including kernel and deep…

机器学习 · 计算机科学 2016-02-09 Tomer Michaeli , Weiran Wang , Karen Livescu

Learning representations of two views of data such that the resulting representations are highly linearly correlated is appealing in machine learning. In this paper, we present a canonical correlation guided learning framework, which allows…

机器学习 · 计算机科学 2024-10-01 Zhiwen Chen , Siwen Mo , Haobin Ke , Steven X. Ding , Zhaohui Jiang , Chunhua Yang , Weihua Gui

Existing methods for scene text detection can be divided into two paradigms: segmentation-based and anchor-based. While Segmentation-based methods are well-suited for irregular shapes, they struggle with compact or overlapping layouts.…

计算机视觉与模式识别 · 计算机科学 2024-02-20 Longhuang Wu , Shangxuan Tian , Youxin Wang , Pengfei Xiong

Different choices of quantum error-correcting codes can reduce the demands on the physical hardware needed to build a quantum computer. To achieve the full potential of a code, we must develop practical decoding algorithms that can correct…

量子物理 · 物理学 2025-06-18 Zohar Schwartzman-Nowik , Benjamin J. Brown

In this paper, we introduce a divide-and-conquer algorithm to improve sentence alignment speed. We utilize external bilingual sentence embeddings to find accurate hard delimiters for the parallel texts to be aligned. We use Monte Carlo…

计算与语言 · 计算机科学 2022-01-19 Wu Zhang

A string matching -- and more generally, sequence matching -- algorithm is presented that has a linear worst-case computing time bound, a low worst-case bound on the number of comparisons (2n), and sublinear average-case behavior that is…

数据结构与算法 · 计算机科学 2008-10-02 David R. Musser , Gor V. Nishanov

Combining the predictions of multiple trained models through ensembling is generally a good way to improve accuracy by leveraging the different learned features of the models, however it comes with high computational and storage costs.…

机器学习 · 计算机科学 2024-07-09 Stefan Horoi , Albert Manuel Orozco Camacho , Eugene Belilovsky , Guy Wolf

We offer a digital signature scheme using Boolean automorphisms of a multivariate polynomial algebra over integers. Verification part of this scheme is based on the approximation of the number of zeros of a multivariate Boolean function.

密码学与安全 · 计算机科学 2023-09-08 Dima Grigoriev , Ilia Ilmer , Alexey Ovchinnikov , Vladimir Shpilrain

Quantum algorithms offer an exponential advantage with respect to the number of dependent variables for solving certain nonlinear ordinary differential equations (ODEs). These algorithms typically begin by transforming the original…

量子物理 · 物理学 2025-12-09 Judd Katz , Gopikrishnan Muraleedharan , Abhijeet Alase

Quantum algorithms for Hamiltonian simulation and linear differential equations more generally have provided promising exponential speed-ups over classical computers on a set of problems with high real-world interest. However, extending…

量子物理 · 物理学 2025-05-14 Noah Brüstle , Nathan Wiebe

In this paper, it is demonstrated that the DNA-based algorithm [Ho et al. 2005] for solving an instance of the clique problem to any a graph G = (V, E) with n vertices and p edges and its complementary graph G1 = (V, E1) with n vertices and…

数据结构与算法 · 计算机科学 2009-05-14 Weng-Long Chang , Ting-Ting Ren , Mang Feng , Jun Luo , Kawuu Weicheng Lin , Minyi Guo , Lai Chin Lu

We propose a batchwise monotone algorithm for dictionary learning. Unlike the state-of-the-art dictionary learning algorithms which impose sparsity constraints on a sample-by-sample basis, we instead treat the samples as a batch, and impose…

机器学习 · 计算机科学 2015-02-03 Huan Wang , John Wright , Daniel Spielman