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We consider fully row/column-correlated linear regression models and study several classical estimators (including minimum norm interpolators (GLS), ordinary least squares (LS), and ridge regressors). We show that \emph{Random Duality…

机器学习 · 统计学 2024-06-14 Mihailo Stojnic

This work examines risk bounds for nonparametric distributional regression estimators. For convex-constrained distributional regression, general upper bounds are established for the continuous ranked probability score (CRPS) and the…

Typical IRT rating-scale models assume that the rating category threshold parameters are the same over examinees. However, it can be argued that many rating data sets violate this assumption. To address this practical psychometric problem,…

统计方法学 · 统计学 2013-03-22 Ken Akira Fujimoto , George Karabatsos

Trajectory generation for mobile robots in unstructured environments faces a critical dilemma: balancing kinematic smoothness for safe execution with terminal precision for fine-grained tasks. Existing generative planners often struggle…

机器人学 · 计算机科学 2026-03-03 Jinyang Zhao , Handong Zheng , Yanjiu Zhong , Qiang Zhang , Yu Kang , Shunyu Wu

We present a robust framework to perform linear regression with missing entries in the features. By considering an elliptical data distribution, and specifically a multivariate normal model, we are able to conditionally formulate a…

机器学习 · 计算机科学 2022-11-10 Alireza Aghasi , MohammadJavad Feizollahi , Saeed Ghadimi

Objective:This study introduces a residual error-shifting mechanism that drastically reduces sampling steps while preserving critical anatomical details, thus accelerating MRI reconstruction. Approach:We propose a novel diffusion-based SR…

计算机视觉与模式识别 · 计算机科学 2026-01-16 Mojtaba Safari , Shansong Wang , Zach Eidex , Qiang Li , Erik H. Middlebrooks , David S. Yu , Xiaofeng Yang

Sparse residual tree (SRT) is an adaptive exploration method for multivariate scattered data approximation. It leads to sparse and stable approximations in areas where the data is sufficient or redundant, and points out the possible local…

数值分析 · 数学 2019-05-15 Xin Xu , Xiaopeng Luo

Trajectory prediction facilitates effective planning and decision-making, while constrained trajectory prediction integrates regulation into prediction. Recent advances in constrained trajectory prediction focus on structured constraints by…

机器人学 · 计算机科学 2025-03-19 Hao Ma , Zhiqiang Pu , Shijie Wang , Boyin Liu , Huimu Wang , Yanyan Liang , Jianqiang Yi

Machine learning for weather prediction increasingly relies on ensemble methods to provide probabilistic forecasts. Diffusion-based models have shown strong performance in Limited-Area Modeling (LAM) but remain computationally expensive at…

机器学习 · 计算机科学 2025-11-27 Erik Larsson , Joel Oskarsson , Tomas Landelius , Fredrik Lindsten

Accurate forecasting of sequential data streams is a cornerstone of modern Web services, supporting applications such as traffic management, user behavior modeling, and online anomaly prevention. However, in many Web environments, new…

机器学习 · 计算机科学 2026-02-02 Shichao Ma , Zhengyang Zhou , Qihe Huang , Binwu Wang , Yang Wang

Missing values are common in real-world time series, and multivariate time series forecasting with missing values (MTSF-M) has become a crucial area of research for ensuring reliable predictions. To address the challenge of missing data,…

机器学习 · 计算机科学 2026-02-03 Jie Yang , Yifan Hu , Kexin Zhang , Luyang Niu , Philip S. Yu , Kaize Ding

Partial diffusion-based recursive least squares (PDRLS) is an effective method for reducing computational load and power consumption in adaptive network implementation. In this method, each node shares a part of its intermediate estimate…

分布式、并行与集群计算 · 计算机科学 2016-07-20 Vahid Vahidpour , Amir Rastegarnia , Azam Khalili , Saeid Sanei

Probabilistic forecasting is essential for modern risk management, allowing decision-makers to quantify uncertainty in critical systems. This paper tackles this challenge using the volatile REFIT household dataset, which is complicated by a…

机器学习 · 计算机科学 2025-12-02 Midhun Manoj

Determining the precise rank is an important problem in many large-scale applications with matrix data exploiting low-rank plus noise models. In this paper, we suggest a universal approach to rank inference via residual subsampling (RIRS)…

统计理论 · 数学 2024-11-12 Xiao Han , Qing Yang , Yingying Fan

We propose the Fourier Adaptive Lite Diffusion Architecture (FALDA), a novel probabilistic framework for time series forecasting. First, we introduce the Diffusion Model for Residual Regression (DMRR) framework, which unifies…

机器学习 · 计算机科学 2025-05-19 Xinyan Wang , Rui Dai , Kaikui Liu , Xiangxiang Chu

Diffusion models trained on different, non-overlapping subsets of a dataset often produce strikingly similar outputs when given the same noise seed. We trace this consistency to a simple linear effect: the shared Gaussian statistics across…

机器学习 · 计算机科学 2026-02-04 Binxu Wang , Jacob Zavatone-Veth , Cengiz Pehlevan

Cyber-physical systems (CPS) designed in simulators behave differently in the real-world. Once they are deployed in the real-world, we would hence like to predict system failures during runtime. We propose robust predictive runtime…

系统与控制 · 电气工程与系统科学 2024-03-12 Yiqi Zhao , Bardh Hoxha , Georgios Fainekos , Jyotirmoy V. Deshmukh , Lars Lindemann

Ridge regression with random coefficients provides an important alternative to fixed coefficients regression in high dimensional setting when the effects are expected to be small but not zeros. This paper considers estimation and prediction…

机器学习 · 统计学 2023-06-29 Hongzhe Zhang , Hongzhe Li

Probabilistic time series forecasting is crucial for quantifying future uncertainty, with significant applications in fields such as energy and finance. However, existing methods often rely on computationally expensive sampling or…

机器学习 · 计算机科学 2026-01-21 Lei Liu , Tengyuan Liu , Hongwei Zhao , Jiahui Huang , Ruibo Guo , Bin Li

The aim of this paper is to propose diffusion strategies for distributed estimation over adaptive networks, assuming the presence of spatially correlated measurements distributed according to a Gaussian Markov random field (GMRF) model. The…

系统与控制 · 计算机科学 2015-06-22 Paolo Di Lorenzo