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Current quantum computers require algorithms that use limited resources economically. In quantum machine learning, success hinges on quantum feature maps, which embed classical data into the state space of qubits. We introduce Quantum…

量子物理 · 物理学 2025-10-07 Jonas Jäger , Philipp Elsässer , Elham Torabian

K-Means algorithm is a popular clustering method. However, it has two limitations: 1) it gets stuck easily in spurious local minima, and 2) the number of clusters k has to be given a priori. To solve these two issues, a multi-prototypes…

机器学习 · 计算机科学 2023-02-15 Dong Li , Shuisheng Zhou , Tieyong Zeng , Raymond H. Chan

We propose a novel accelerated exact k-means algorithm, which performs better than the current state-of-the-art low-dimensional algorithm in 18 of 22 experiments, running up to 3 times faster. We also propose a general improvement of…

机器学习 · 统计学 2016-09-13 James Newling , François Fleuret

Transformer-based models have revolutionized computer vision (CV) and natural language processing (NLP) by achieving state-of-the-art performance across a range of benchmarks. However, nonlinear operations in models significantly contribute…

机器学习 · 计算机科学 2026-03-26 Zhixiong Zhao , Haomin Li , Fangxin Liu , Yuncheng Lu , Zongwu Wang , Tao Yang , Li Jiang , Haibing Guan

Kernel Principal Component Analysis (KPCA) is a key machine learning algorithm for extracting nonlinear features from data. In the presence of a large volume of high dimensional data collected in a distributed fashion, it becomes very…

机器学习 · 计算机科学 2016-02-16 Maria-Florina Balcan , Yingyu Liang , Le Song , David Woodruff , Bo Xie

This study systematically benchmarks several non-fault-tolerant quantum computing algorithms across four distinct optimization problems: max-cut, number partitioning, knapsack, and quantum spin glass. Our benchmark includes noisy…

量子物理 · 物理学 2024-10-31 Santaro Kikuura , Ryoya Igata , Yuta Shingu , Shohei Watabe

Traditional methods for handling (inequality) constraints in the Quantum Approximate Optimization Ansatz (QAOA) typically rely on penalty terms and slack variables, which increase problem complexity and expand the search space. More…

量子物理 · 物理学 2025-12-04 David Bucher , Jonas Stein , Sebastian Feld , Claudia Linnhoff-Popien

Motivated by the increasing availability of low- and mixed-precision arithmetic on modern hardware, we develop mixed-precision variants of Lloyd's algorithm for k-means clustering. The main ingredient is a family of mixed-precision kernels…

数值分析 · 数学 2026-05-26 Erin Carson , Xinye Chen , Xiaobo Liu

We present a new parallel algorithm for $k$-clique counting/listing that has polylogarithmic span (parallel time) and is work-efficient (matches the work of the best sequential algorithm) for sparse graphs. Our algorithm is based on…

数据结构与算法 · 计算机科学 2021-07-19 Jessica Shi , Laxman Dhulipala , Julian Shun

Neural networks commonly execute on hardware accelerators such as NPUs and GPUs for their size and computation overhead. These accelerators are costly and it is hard to scale their resources to handle real-time workload fluctuations. We…

机器学习 · 计算机科学 2025-10-06 Jaemin Kim , Hongjun Um , Sungkyun Kim , Yongjun Park , Jiwon Seo

Combinatorial optimization has wide applications from industry to natural science. Ising machines bring an emerging computing paradigm for efficiently solving a combinatorial optimization problem by searching a ground state of a given Ising…

统计力学 · 物理学 2024-07-16 Kentaro Ohno , Tatsuhiko Shirai , Nozomu Togawa

We present a novel framework for designing multiplierless kernel machines that can be used on resource-constrained platforms like intelligent edge devices. The framework uses a piecewise linear (PWL) approximation based on a margin…

机器学习 · 计算机科学 2022-09-12 Abhishek Ramdas Nair , Pallab Kumar Nath , Shantanu Chakrabartty , Chetan Singh Thakur

Convolutional neural networks (CNNs) are revolutionizing machine learning, but they present significant computational challenges. Recently, many FPGA-based accelerators have been proposed to improve the performance and efficiency of CNNs.…

硬件体系结构 · 计算机科学 2018-04-13 Yongming Shen , Michael Ferdman , Peter Milder

Capacitated p-median problem (CPMP) is an important variation of facility location problem in which p capacitated medians are economically selected to serve a set of demand vertices so that the total assigned demand to each of the candidate…

最优化与控制 · 数学 2014-07-01 Hassan Gholami Mazinan , Gholam Reza Ahmadi , Erfan Khaji

Clustering samples according to an effective metric and/or vector space representation is a challenging unsupervised learning task with a wide spectrum of applications. Among several clustering algorithms, k-means and its kernelized version…

分布式、并行与集群计算 · 计算机科学 2017-10-10 Marco Jacopo Ferrarotti , Sergio Decherchi , Walter Rocchia

Extreme edge platforms, such as in-vehicle smart devices, require efficient deployment of quantized deep neural networks (DNNs) to enable intelligent applications with limited amounts of energy, memory, and computing resources. However,…

硬件体系结构 · 计算机科学 2024-03-28 Longwei Huang , Chao Fang , Qiong Li , Jun Lin , Zhongfeng Wang

Quantum Monte Carlo (QMC) techniques are widely used in a variety of scientific problems and much work has been dedicated to developing optimized algorithms that can accelerate QMC on standard processors (CPU). With the advent of various…

量子物理 · 物理学 2023-04-28 Shuvro Chowdhury , Kerem Y. Camsari , Supriyo Datta

To cluster data that are not linearly separable in the original feature space, $k$-means clustering was extended to the kernel version. However, the performance of kernel $k$-means clustering largely depends on the choice of kernel…

机器学习 · 计算机科学 2018-11-02 Yaqiang Yao , Huanhuan Chen

Learning augmented is a machine learning concept built to improve the performance of a method or model, such as enhancing its ability to predict and generalize data or features, or testing the reliability of the method by introducing noise…

机器学习 · 计算机科学 2024-01-09 Issam K. O Jabari , Shofiyah , Pradiptya Kahvi S , Novi Nur Putriwijaya , Novanto Yudistira

Kernel Principal Component Analysis (KPCA) is a popular dimensionality reduction technique with a wide range of applications. However, it suffers from the problem of poor scalability. Various approximation methods have been proposed in the…

机器学习 · 计算机科学 2017-12-13 Deena P. Francis , Kumudha Raimond