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We address the problem of how to achieve optimal inference in distributed quantile regression without stringent scaling conditions. This is challenging due to the non-smooth nature of the quantile regression (QR) loss function, which…

Methodology · Statistics 2022-08-24 Kean Ming Tan , Heather Battey , Wen-Xin Zhou

We study linear quantile regression models when regressors and/or dependent variable are not directly observed but estimated in an initial first step and used in the second step quantile regression for estimating the quantile parameters.…

Econometrics · Economics 2020-12-29 Jayeeta Bhattacharya

This paper proposes averaging estimation methods to improve the finite-sample efficiency of the instrumental variables quantile regression (IVQR) estimation. First, I apply Cheng, Liao, Shi's (2019) averaging GMM framework to the IVQR…

Econometrics · Economics 2024-05-10 Xin Liu

Embedding vectors are widely used for representing unstructured data and searching through it for semantically similar items. However, the large size of these vectors, due to their high-dimensionality, creates problems for modern vector…

Machine Learning · Computer Science 2025-09-24 Mariano Tepper , Ted Willke

Prediction is a key issue in time series analysis. Just as classical mean regression models, classical autoregressive methods, yielding L$^2$ point-predictions, provide rather poor predictive summaries; a much more informative approach is…

Statistics Theory · Mathematics 2025-10-06 Alberto González-Sanz , Marc Hallin , Yisha Yao

Quantum machine learning is at the crossroads of two of the most exciting current areas of research; quantum computing and classical machine learning. It explores the interaction between quantum computing and machine learning, investigating…

Quantum Physics · Physics 2021-12-14 Anekait Kariya , Bikash K. Behera

We introduce a principal support vector machine (PSVM) approach that can be used for both linear and nonlinear sufficient dimension reduction. The basic idea is to divide the response variables into slices and use a modified form of support…

Statistics Theory · Mathematics 2012-03-14 Bing Li , Andreas Artemiou , Lexin Li

We compare two quantum approaches that use support vector machines for multi-class classification on a reduced Sloan Digital Sky Survey (SDSS) dataset: the quantum kernel-based QSVM and the Harrow-Hassidim-Lloyd least-squares SVM (HHL…

Quantum Physics · Physics 2025-09-15 Gabriela Pinheiro , Donovan Slabbert , Luis Kowada , Francesco Petruccione

Modern datasets arising from social media, genomics, and biomedical informatics are often heterogeneous and (ultra) high-dimensional, creating substantial challenges for conventional modeling techniques. Quantile regression (QR) not only…

Methodology · Statistics 2026-01-07 Hanqing Wu , Jonas Wallin , Iuliana Ionita-Laza

RWKV is a modern RNN architecture with comparable performance to Transformer, but still faces challenges when deployed to resource-constrained devices. Post Training Quantization (PTQ), which is a an essential technique to reduce model size…

Machine Learning · Computer Science 2025-05-08 Chen Xu , Yuxuan Yue , Zukang Xu , Xing Hu , Jiangyong Yu , Zhixuan Chen , Sifan Zhou , Zhihang Yuan , Dawei Yang

Accumulation of corporate data in the cloud has attracted more enterprise applications to the cloud creating data gravity. As a consequence, network traffic has become more cloud centric. This increase in cloud centric traffic poses new…

Machine Learning · Computer Science 2022-10-05 Mujahid Sultan

A new multivariate concept of quantile, based on a directional version of Koenker and Bassett's traditional regression quantiles, is introduced for multivariate location and multiple-output regression problems. In their empirical version,…

Statistics Theory · Mathematics 2010-02-25 Marc Hallin , Davy Paindaveine , Miroslav Šiman

Anomaly detection is a critical problem in data analysis and pattern recognition, finding applications in various domains. We introduce quantum support vector data description (QSVDD), an unsupervised learning algorithm designed for anomaly…

Quantum Physics · Physics 2024-09-19 Hyeondo Oh , Daniel K. Park

In this paper, we develop a new censored quantile instrumental variable (CQIV) estimator and describe its properties and computation. The CQIV estimator combines Powell (1986) censored quantile regression (CQR) to deal with censoring, with…

Methodology · Statistics 2018-01-16 Victor Chernozhukov , Ivan Fernandez-Val , Amanda Kowalski

Quantum computing, with its potential to enhance various machine learning tasks, allows significant advancements in kernel calculation and model precision. Utilizing the one-class Support Vector Machine alongside a quantum kernel, known for…

The VQE algorithm has turned out to be quite expensive to run given the way we currently access quantum processors (i.e. over the cloud). In order to alleviate this issue, we introduce Quantum Sampling Regression (QSR), an alternative…

Quantum Physics · Physics 2020-12-07 Pedro Rivero , Ian C. Cloët , Zack Sullivan

We present new large-scale algorithms for fitting a subgradient regularized multivariate convex regression function to $n$ samples in $d$ dimensions -- a key problem in shape constrained nonparametric regression with applications in…

Optimization and Control · Mathematics 2023-12-06 Wenyu Chen , Rahul Mazumder

In this paper, we propose an invariant quantile regression (IQR) framework specifically designed for multi-environment datasets, which captures the invariance across different environments. This framework is closely related to transfer…

Methodology · Statistics 2026-05-28 Bo Fu , Dandan Jiang

This paper considers doing quantile regression on censored data using neural networks (NNs). This adds to the survival analysis toolkit by allowing direct prediction of the target variable, along with a distribution-free characterisation of…

Machine Learning · Statistics 2023-02-07 Tim Pearce , Jong-Hyeon Jeong , Yichen Jia , Jun Zhu

Classification with support vector machines (SVM) often suffers from limited performance when relying solely on labeled data from target classes and is sensitive to noise and outliers. Incorporating prior knowledge from Universum data and…

Machine Learning · Computer Science 2024-12-05 M. A. Ganaie , Vrushank Ahire
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