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Computing $k$-Nearest Neighbors (KNN) is one of the core kernels used in many machine learning, data mining and scientific computing applications. Although kd-tree based $O(\log n)$ algorithms have been proposed for computing KNN, due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Md. Mostofa Ali Patwary , Nadathur Rajagopalan Satish , Narayanan Sundaram , Jialin Liu , Peter Sadowski , Evan Racah , Suren Byna , Craig Tull , Wahid Bhimji , Prabhat , Pradeep Dubey

Kernel density estimation is a well known method involving a smoothing parameter (the bandwidth) that needs to be tuned by the user. Although this method has been widely used the bandwidth selection remains a challenging issue in terms of…

Statistics Theory · Mathematics 2019-02-05 Suzanne Varet , Claire Lacour , Pascal Massart , Vincent Rivoirard

Approximate Counting refers to the problem where we are given query access to a function $f : [N] \to \{0,1\}$, and we wish to estimate $K = #\{x : f(x) = 1\}$ to within a factor of $1+\epsilon$ (with high probability), while minimizing the…

Quantum Physics · Physics 2020-10-12 Ramgopal Venkateswaran , Ryan O'Donnell

Classical simulation of quantum circuits remains indispensable for algorithm development, hardware validation, and error analysis in the noisy intermediate-scale quantum (NISQ) era. However, state-vector simulation faces exponential memory…

As machine learning gets deployed more and more widely, and model sizes continue to grow, improving computational efficiency during model inference has become a key challenge. In many commonly used model architectures, including…

Machine Learning · Computer Science 2024-12-03 Sai Kiran Narayanaswami , Gopalakrishnan Srinivasan , Balaraman Ravindran

A Local Orthogonal Polynomial Expansion (LOrPE) of the empirical density function is proposed as a novel method to estimate the underlying density. The estimate is constructed by matching localized expectation values of orthogonal…

Applications · Statistics 2015-05-05 D. P. Amali Dassanayake , Igor Volobouev , A. Alexandre Trindade

Quantum purity amplification (QPA) provides a novel approach to counteracting the pervasive noise that degrades quantum states. We present the optimal QPA protocol for general quantum systems and global noise, resolving a two-decade open…

Quantum Physics · Physics 2025-12-29 Zhaoyi Li , Honghao Fu , Takuya Isogawa , Caio Silva , Isaac Chuang

Query Performance Prediction (QPP) estimates retrieval systems effectiveness for a given query, offering valuable insights for search effectiveness and query processing. Despite extensive research, QPPs face critical challenges in…

Information Retrieval · Computer Science 2025-04-03 Adrian-Gabriel Chifu , Sébastien Déjean , Josiane Mothe , Moncef Garouani , Diego Ortiz , Md Zia Ullah

Contemporary deep learning, characterized by the training of cumbersome neural networks on massive datasets, confronts substantial computational hurdles. To alleviate heavy data storage burdens on limited hardware resources, numerous…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Muquan Li , Dongyang Zhang , Qiang Dong , Xiurui Xie , Ke Qin

The qubit mapping problem (QMP) focuses on the mapping and routing of qubits in quantum circuits so that the strict connectivity constraints imposed by near-term quantum hardware are satisfied. QMP is a pivotal task for quantum circuit…

Quantum Physics · Physics 2024-09-10 Yunqi Huang , Xiangzhen Zhou , Fanxu Meng , Sanjiang Li

The matching problem between two adjacency matrices can be formulated as the NP-hard quadratic assignment problem (QAP). Previous work on semidefinite programming (SDP) relaxations to the QAP have produced solutions that are often tight in…

Optimization and Control · Mathematics 2017-03-29 Jose F. S. Bravo Ferreira , Yuehaw Khoo , Amit Singer

Approximate Bayesian computation (ABC) methods, which are applicable when the likelihood is difficult or impossible to calculate, are an active topic of current research. Most current ABC algorithms directly approximate the posterior…

Computation · Statistics 2012-12-10 Y. Fan , D. J. Nott , S. A. Sisson

Top-K SpMV is a key component of similarity-search on sparse embeddings. This sparse workload does not perform well on general-purpose NUMA systems that employ traditional caching strategies. Instead, modern FPGA accelerator cards have a…

Hardware Architecture · Computer Science 2021-03-09 Alberto Parravicini , Luca Giuseppe Cellamare , Marco Siracusa , Marco Domenico Santambrogio

We present a novel search optimization solution for approximate nearest neighbor (ANN) search on resource-constrained edge devices. Traditional ANN approaches fall short in meeting the specific demands of real-world scenarios, e.g., skewed…

Information Retrieval · Computer Science 2023-12-13 Jianwei Zhang , Helian Feng , Xin He , Grant P. Strimel , Farhad Ghassemi , Ali Kebarighotbi

Quantization of weights and activations in Deep Neural Networks (DNNs) is a powerful technique for network compression, and has enjoyed significant attention and success. However, much of the inference-time benefit of quantization is…

Performance · Computer Science 2019-12-13 Andrew Anderson , David Gregg

Pipeline parallelism has achieved great success in deploying large-scale transformer models in cloud environments, but has received less attention in edge environments. Unlike in cloud scenarios with high-speed and stable network…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-10 Haonan Wang , Connor Imes , Souvik Kundu , Peter A. Beerel , Stephen P. Crago , John Paul Walters

Recent advances in Capsule Networks (CapsNets) have shown their superior learning capability, compared to the traditional Convolutional Neural Networks (CNNs). However, the extremely high complexity of CapsNets limits their fast deployment…

Machine Learning · Computer Science 2020-07-03 Alberto Marchisio , Vojtech Mrazek , Muhammad Abudllah Hanif , Muhammad Shafique

Processing-in-memory (PIM) architectures have demonstrated great potential in accelerating numerous deep learning tasks. Particularly, resistive random-access memory (RRAM) devices provide a promising hardware substrate to build PIM…

Hardware Architecture · Computer Science 2022-02-01 Weidong Cao , Yilong Zhao , Adith Boloor , Yinhe Han , Xuan Zhang , Li Jiang

Mixed-precision neural network (MPNN) that utilizes just enough data width for the neural network processing is an effective approach to meet the stringent resources constraints including memory and computing of MCUs. Nevertheless, there is…

Hardware Architecture · Computer Science 2024-07-29 Junfeng Gong , Cheng Liu , Long Cheng , Huawei Li , Xiaowei Li

Semidefinite programming (SDP) is a fundamental convex optimization problem with wide-ranging applications. However, solving large-scale instances remains computationally challenging due to the high cost of solving linear systems and…

Optimization and Control · Mathematics 2025-12-22 Hantao Nie , Dong An , Zaiwen Wen
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