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Identifying discrete patterns in binary data is an important dimensionality reduction tool in machine learning and data mining. In this paper, we consider the problem of low-rank binary matrix factorisation (BMF) under Boolean arithmetic.…

最优化与控制 · 数学 2021-08-05 Reka A. Kovacs , Oktay Gunluk , Raphael A. Hauser

Quantum noise in real-world devices poses a significant challenge in achieving practical quantum advantage, since accurately compiled and executed circuits are typically deep and highly susceptible to decoherence. To facilitate the…

量子物理 · 物理学 2025-06-13 Yuchen Guo , Shuo Yang

We describe a method of model checking called Computing Range Reduction (CRR). The CRR method is based on derivation of clauses that reduce the set of traces of reachable states in such a way that at least one counterexample remains (if…

计算机科学中的逻辑 · 计算机科学 2014-10-14 Eugene Goldberg , Panagiotis Manolios

The increasing size of transformer-based models in NLP makes the question of compressing them important. In this work, we present a comprehensive analysis of factorization based model compression techniques. Specifically, we focus on…

计算与语言 · 计算机科学 2024-06-18 Ashim Gupta , Sina Mahdipour Saravani , P. Sadayappan , Vivek Srikumar

This work presents a hybrid quantum-classical algorithm to perform clustering aggregation, designed for neutral-atoms quantum computers and quantum annealers. Clustering aggregation is a technique that mitigates the weaknesses of clustering…

In standard clustering problems, data points are represented by vectors, and by stacking them together, one forms a data matrix with row or column cluster structure. In this paper, we consider a class of binary matrices, arising in many…

机器学习 · 统计学 2014-02-06 Jiaming Xu , Rui Wu , Kai Zhu , Bruce Hajek , R. Srikant , Lei Ying

Across many areas, from neural tracking to database entity resolution, manual assessment of clusters by human experts presents a bottleneck in rapid development of scalable and specialized clustering methods. To solve this problem we…

机器学习 · 统计学 2020-03-20 Hanlin Zhu , Xue Li , Liuyang Sun , Fei He , Zhengtuo Zhao , Lan Luan , Ngoc Mai Tran , Chong Xie

Sample-based quantum diagonalization (SQD) is a hybrid quantum-classical algorithm for estimating ground-state energies in electronic-structure calculations. It uses a quantum processor as a sampler to construct a variational subspace, with…

量子物理 · 物理学 2026-04-21 Byeongyong Park , Sanha Kang , Jongseok Seo , Juhee Baek , Doyeol Ahn , Keunhong Jeong

If learning methods are to scale to the massive sizes of modern datasets, it is essential for the field of machine learning to embrace parallel and distributed computing. Inspired by the recent development of matrix factorization methods…

机器学习 · 计算机科学 2013-10-29 Lester Mackey , Ameet Talwalkar , Michael I. Jordan

Query Reformulation (QR) is a set of techniques used to transform a user's original search query to a text that better aligns with the user's intent and improves their search experience. Recently, zero-shot QR has been a promising approach…

信息检索 · 计算机科学 2024-05-29 Kaustubh D. Dhole , Ramraj Chandradevan , Eugene Agichtein

Case-Based Reasoning (CBR) is an artificial intelligence approach to problem-solving with a good record of success. This article proposes using Quantum Computing to improve some of the key processes of CBR, such that a Quantum Case-Based…

Deep learning and especially the use of Deep Neural Networks (DNNs) provides impressive results in various regression and classification tasks. However, to achieve these results, there is a high demand for computing and storing resources.…

机器学习 · 计算机科学 2021-07-21 Erion-Vasilis Pikoulis , Christos Mavrokefalidis , Aris S. Lalos

Quantization is an essential and popular technique for improving the accessibility of large language models (LLMs) by reducing memory usage and computational costs while maintaining performance. In this study, we apply 4-bit Group Scaling…

In this work we study the encoding of smooth, differentiable multivariate functions in quantum registers, using quantum computers or tensor-network representations. We show that a large family of distributions can be encoded as…

量子物理 · 物理学 2021-04-21 Juan José García-Ripoll

We propose Clustering Mask Transformer (CMT-DeepLab), a transformer-based framework for panoptic segmentation designed around clustering. It rethinks the existing transformer architectures used in segmentation and detection; CMT-DeepLab…

计算机视觉与模式识别 · 计算机科学 2022-06-22 Qihang Yu , Huiyu Wang , Dahun Kim , Siyuan Qiao , Maxwell Collins , Yukun Zhu , Hartwig Adam , Alan Yuille , Liang-Chieh Chen

This paper describes a novel approach of packing sparse convolutional neural networks for their efficient systolic array implementations. By combining subsets of columns in the original filter matrix associated with a convolutional layer,…

机器学习 · 计算机科学 2018-11-13 H. T. Kung , Bradley McDanel , Sai Qian Zhang

Efficient task scheduling is paramount in parallel programming on multi-core architectures, where tasks are fundamental computational units. QR factorization is a critical sub-routine in Sequential Least Squares Quadratic Programming…

分布式、并行与集群计算 · 计算机科学 2025-06-12 Soumyajit Chatterjee , Rahul Utkoor , Uppu Eshwar , Sathya Peri , V. Krishna Nandivada

Matrices with low numerical rank are omnipresent in many signal processing and data analysis applications. The pivoted QLP (p-QLP) algorithm constructs a highly accurate approximation to an input low-rank matrix. However, it is…

机器学习 · 计算机科学 2021-06-16 Maboud F. Kaloorazi , Jie Chen

In this paper, we propose PCKID, a novel, robust, kernel function for spectral clustering, specifically designed to handle incomplete data. By combining posterior distributions of Gaussian Mixture Models for incomplete data on different…

机器学习 · 统计学 2017-02-24 Sigurd Løkse , Filippo Maria Bianchi , Arnt-Børre Salberg , Robert Jenssen

Low-rank matrix approximations are often used to help scale standard machine learning algorithms to large-scale problems. Recently, matrix coherence has been used to characterize the ability to extract global information from a subset of…

机器学习 · 统计学 2010-09-07 Mehryar Mohri , Ameet Talwalkar