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Designs of experiments for multivariate case are reviewed. Fast algorithm of construction of good Latin hypercube designs is developed.

统计方法学 · 统计学 2009-07-13 Andrey Pepelyshev

A new statistical technique for constructing linear latent structure (LLS) models from available data, supported by well established theoretical results and an efficient algorithm, is presented. The method reduces the problem of estimating…

统计理论 · 数学 2007-06-13 I. Akushevich , M. Kovtun , A. I. Yashin , K. G. Manton

Rapid sampling from the environment to acquire available frontier points and timely incorporating them into subsequent planning to reduce fragmented regions are critical to improve the efficiency of autonomous exploration. We propose HPHS,…

机器人学 · 计算机科学 2024-07-22 Shijun Long , Ying Li , Chenming Wu , Bin Xu , Wei Fan

LSH (locality sensitive hashing) had emerged as a powerful technique in nearest-neighbor search in high dimensions [IM98, HIM12]. Given a point set $P$ in a metric space, and given parameters $r$ and $\varepsilon > 0$, the task is to…

计算几何 · 计算机科学 2017-04-11 Sariel Har-Peled , Sepideh Mahabadi

Sampling techniques are used in many fields, including design of experiments, image processing, and graphics. The techniques in each field are designed to meet the constraints specific to that field such as uniform coverage of the range of…

机器学习 · 计算机科学 2023-06-08 Chandrika Kamath

Temperature scaling is a popular technique for tuning the sharpness of a model distribution. It is used extensively for sampling likely generations and calibrating model uncertainty, and even features as a controllable parameter to many…

机器学习 · 计算机科学 2023-10-03 Andy Shih , Dorsa Sadigh , Stefano Ermon

Local spectral similarity (LSS) algorithm has been developed for detecting homogeneous areas and edges in hyperspectral images (HSIs). The proposed algorithm transforms the 3-D data cube (within a spatial window) into a spectral similarity…

计算机视觉与模式识别 · 计算机科学 2019-11-07 Anand S Sahadevan , Arundhati Misra , Praveen Gupta

This paper explores the use of the Learning Automata (LA) algorithm to compute threshold selection for image segmentation as it is a critical preprocessing step for image analysis, pattern recognition and computer vision. LA is a heuristic…

计算机视觉与模式识别 · 计算机科学 2014-05-30 Erik Cuevas , Daniel Zaldivar , Marco Perez

We develop a new method for constructing "good" designs for computer experiments. The method derives its power from its basic structure that builds large designs using small designs. We specialize the method for the construction of…

统计理论 · 数学 2010-10-05 C. Devon Lin , Derek Bingham , Randy R. Sitter , Boxin Tang

Speculative sampling is a promising approach to accelerate the decoding stage for Large Language Models (LLMs). Recent advancements that leverage target LLM's contextual information, such as hidden states and KV cache, have shown…

机器学习 · 计算机科学 2025-02-27 Lefan Zhang , Xiaodan Wang , Yanhua Huang , Ruiwen Xu

A new method for analyzing high-dimensional categorical data, Linear Latent Structure (LLS) analysis, is presented. LLS models belong to the family of latent structure models, which are mixture distribution models constrained to satisfy the…

概率论 · 数学 2007-06-13 Mikhail Kovtun , Igor Akushevich , Kenneth G. Manton , H. Dennis Tolley

Numerical modeling is essential for comprehending intricate physical phenomena in different domains. To handle complexity, sensitivity analysis, particularly screening, is crucial for identifying influential input parameters. Kernel-based…

统计方法学 · 统计学 2024-05-17 Guerlain Lambert , Céline Helbert , Claire Lauvernet

As uncertainty and sensitivity analysis of complex models grows ever more important, the difficulty of their timely realizations highlights a need for more efficient numerical operations. Non-intrusive Polynomial Chaos methods are highly…

数值分析 · 数学 2022-04-14 Konstantin Weise , Erik Müller , Lucas Poßner , Thomas R. Knösche

Large Language Models (LLMs) have become extremely potent instruments with exceptional capacities for comprehending and producing human-like text in a wide range of applications. However, the increasing size and complexity of LLMs present…

机器学习 · 计算机科学 2024-06-18 Yingbing Huang , Lily Jiaxin Wan , Hanchen Ye , Manvi Jha , Jinghua Wang , Yuhong Li , Xiaofan Zhang , Deming Chen

Large Language Models (LLMs) have attracted significant attention in recommender systems for their excellent world knowledge capabilities. However, existing methods that rely on Euclidean space struggle to capture the rich hierarchical…

信息检索 · 计算机科学 2025-04-22 Wentao Cheng , Zhida Qin , Zexue Wu , Pengzhan Zhou , Tianyu Huang

Large Language Models (LLMs) have recently emerged as effective surrogate models and candidate generators within global optimization frameworks for expensive blackbox functions. Despite promising results, LLM-based methods often struggle in…

机器学习 · 计算机科学 2026-01-28 Andrej Schwanke , Lyubomir Ivanov , David Salinas , Fabio Ferreira , Aaron Klein , Frank Hutter , Arber Zela

We present Automatic Laplace Collapsed Sampling (ALCS), a general framework for marginalising latent parameters in Bayesian models using automatic differentiation, which we combine with nested sampling to explore the hyperparameter space in…

机器学习 · 计算机科学 2026-03-30 Toby Lovick , David Yallup , Will Handley

In this work, we consider learning sparse models in large scale settings, where the number of samples and the feature dimension can grow as large as millions or billions. Two immediate issues occur under such challenging scenario: (i)…

机器学习 · 统计学 2023-01-31 Atul Dhingra , Jie Shen , Nicholas Kleene

The impressive performance of Large Language Models (LLMs) across various natural language processing tasks comes at the cost of vast computational resources and storage requirements. One-shot pruning techniques offer a way to alleviate…

机器学习 · 计算机科学 2025-09-09 Xiang Meng , Kayhan Behdin , Haoyue Wang , Rahul Mazumder

Holographic Predictive Search (HPS) is a novel approach to search-based hologram generation that uses a mathematical understanding of the optical transforms to make informed optimisation decisions. Existing search techniques such as Direct…

图像与视频处理 · 电气工程与系统科学 2020-08-26 Peter J. Christopher , Ralf Mouthaan , George S. D. Gordon , Timothy D. Wilkinson