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Many algorithms in scientific computing and data science take advantage of low-rank approximation of matrices and kernels, and understanding why nearly-low-rank structure occurs is essential for their analysis and further development. This…

数值分析 · 数学 2025-10-16 Marcus Webb

Large language models (LLMs) often exhibit complementary strengths. Model routing harnesses these strengths by dynamically directing each query to the most suitable model, given a candidate model pool. However, routing performance relies on…

机器学习 · 计算机科学 2025-11-17 Chenxu Wang , Hao Li , Yiqun Zhang , Linyao Chen , Jianhao Chen , Ping Jian , Peng Ye , Qiaosheng Zhang , Shuyue Hu

In this paper we provide a new efficient algorithm for approximately computing the profile maximum likelihood (PML) distribution, a prominent quantity in symmetric property estimation. We provide an algorithm which matches the previous best…

数据结构与算法 · 计算机科学 2020-11-06 Nima Anari , Moses Charikar , Kirankumar Shiragur , Aaron Sidford

Randomized algorithms for low-rank approximation of quaternion matrices have gained increasing attention in recent years. However, existing methods overlook pass efficiency, the ability to limit the number of passes over the input…

数值分析 · 数学 2026-03-25 Salman Ahmadi-Asl , Malihe Nobakht Kooshkghazi , Valentin Leplat

Despite their ubiquity in NLP tasks, Long Short-Term Memory (LSTM) networks suffer from computational inefficiencies caused by inherent unparallelizable recurrences, which further aggravates as LSTMs require more parameters for larger…

计算与语言 · 计算机科学 2019-08-28 Genta Indra Winata , Andrea Madotto , Jamin Shin , Elham J. Barezi , Pascale Fung

Specializing large language models (LLMs) for local deployment in domain-specific use cases is necessary for strong performance while meeting latency and privacy constraints. However, conventional task-specific adaptation approaches do not…

机器学习 · 计算机科学 2024-12-20 Lanxiang Hu , Tajana Rosing , Hao Zhang

Recovering a high dynamic range (HDR) image from a single low dynamic range (LDR) image, namely inverse tone mapping (ITM), is challenging due to the lack of information in over- and under-exposed regions. Current methods focus exclusively…

图像与视频处理 · 电气工程与系统科学 2022-04-12 Juan Borrego-Carazo , Mete Ozay , Frederik Laboyrie , Paul Wisbey

Pedigree GWAS (Option 29) in the current version of the Mendel software is an optimized subroutine for performing large scale genome-wide QTL analysis. This analysis (a) works for random sample data, pedigree data, or a mix of both, (b) is…

应用统计 · 统计学 2014-08-01 Hua Zhou , Jin Zhou , Tao Hu , Eric M Sobel , Kenneth Lange

We present a quantum algorithm for the simulation of molecular systems that is asymptotically more efficient than all previous algorithms in the literature in terms of the main problem parameters. As in previous work [Babbush et al., New…

The matrix quantization entails representing matrix elements in a more space-efficient form to reduce storage usage, with dequantization restoring the original matrix for use. We formulate the Quantization Error Minimization (QEM) problem…

机器学习 · 计算机科学 2024-09-09 Yanshu Wang , Wang Li , Zhaoqian Yao , Tong Yang

Multi-task representation learning (MTRL) is an approach that learns shared latent representations across related tasks, facilitating collaborative learning that improves the overall learning efficiency. This paper studies MTRL for…

机器学习 · 计算机科学 2026-04-07 Yaoze Guo , Shana Moothedath

The paper introduces a new efficient nonlinear one-class classifier formulated as the Rayleigh quotient criterion optimisation. The method, operating in a reproducing kernel Hilbert space, minimises the scatter of target distribution along…

机器学习 · 计算机科学 2019-02-12 Shervin Rahimzadeh Arashloo , Josef Kittler

Adaptation to local environments often occurs through natural selection acting on a large number of loci, each having a weak phenotypic effect. One way to detect these loci is to identify genetic polymorphisms that exhibit high correlation…

种群与进化 · 定量生物学 2015-03-20 Eric Frichot , Sean Schoville , Guillaume Bouchard , Olivier François

While quantum reinforcement learning (RL) has attracted a surge of attention recently, its theoretical understanding is limited. In particular, it remains elusive how to design provably efficient quantum RL algorithms that can address the…

量子物理 · 物理学 2024-06-14 Han Zhong , Jiachen Hu , Yecheng Xue , Tongyang Li , Liwei Wang

In linear regression, the least squares (LS) estimator has certain optimality properties if the errors are normally distributed. This assumption is often violated in practice, partly caused by data outliers. Robust estimators can cope with…

统计方法学 · 统计学 2020-07-01 Sukru Acitas , Peter Filzmoser , Birdal Senoglu

Machine learning and quantum computing are two technologies that are causing a paradigm shift in the performance and behavior of certain algorithms, achieving previously unattainable results. Machine learning (kernel classification) has…

量子物理 · 物理学 2020-04-28 Siddharth Sharma

Several statistical approaches based on reproducing kernels have been proposed to detect abrupt changes arising in the full distribution of the observations and not only in the mean or variance. Some of these approaches enjoy good…

统计理论 · 数学 2017-10-13 Alain Celisse , Guillemette Marot , Morgane Pierre-Jean , Guillem Rigaill

Motivated by recent progress in quantum technologies and in particular quantum software, research and industrial communities have been trying to discover new applications of quantum algorithms such as quantum optimization and machine…

量子物理 · 物理学 2021-12-23 Ebrahim Ardeshir-Larijani

Genome-wide eQTL mapping explores the relationship between gene expression values and DNA variants to understand genetic causes of human disease. Due to the large number of genes and DNA variants that need to be assessed simultaneously,…

应用统计 · 统计学 2018-04-10 Jacob Rhyne , Jung-Ying Tzeng , Teng Zhang , X. Jessie Jeng

Recent advances in large language models (LLMs) have increasingly relied on reinforcement learning (RL) to improve their reasoning capabilities. Three types of approaches have been widely adopted: The first relies on a deep neural network…

机器学习 · 计算机科学 2026-05-19 Shijin Gong , Kai Ye , Jin Zhu , Xinyu Zhang , Hongyi Zhou , Chengchun Shi