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In this paper, we study the linear transformation model in the most general setup. This model includes many important and popular models in statistics and econometrics as special cases. Although it has been studied for many years, the…

统计方法学 · 统计学 2021-03-26 Tao Yu , Pengfei Li , Baojiang Chen , Ao Yuan , Jing Qin

One central theme in machine learning is function estimation from sparse and noisy data. An example is supervised learning where the elements of the training set are couples, each containing an input location and an output response. In the…

机器学习 · 计算机科学 2023-10-05 Alberto Giaretta , Mauro Bisiacco , Gianluigi Pillonetto

Conventional topology learning methods for dynamical networks become inapplicable to processes exhibiting low-rank characteristics. To address this, we propose the low rank dynamical network model which ensures identifiability. By employing…

图形学 · 计算机科学 2025-11-11 Wenqi Cao , Aming Li

The sequential analysis of series often requires nonparametric procedures, where the most powerful ones frequently use rank transformations. Re-ranking the data sequence after each new observation can become too intensive computationally.…

统计理论 · 数学 2018-12-27 W. J. Conover , Victor G. Tercero , Alvaro E. Cordero-Franco

We address the question of how to quantify the contributions of groups of players to team success. Our approach is based on spectral analysis, a technique from algebraic signal processing, which has several appealing features. First, our…

应用统计 · 统计学 2020-06-26 Stephen Devlin , David Uminsky

Object ranking is an important problem in the realm of preference learning. On the basis of training data in the form of a set of rankings of objects, which are typically represented as feature vectors, the goal is to learn a ranking…

机器学习 · 统计学 2018-12-07 Karlson Pfannschmidt , Pritha Gupta , Eyke Hüllermeier

We consider the problem of modeling, estimating, and controlling the latent state of a spatiotemporally evolving continuous function using very few sensor measurements and actuator locations. Our solution to the problem consists of two…

系统与控制 · 计算机科学 2015-08-11 Hassan A. Kingravi , Harshal Maske , Girish Chowdhary

Over the last few years, there has been a growing interest in the prediction and modelling of competitive sports outcomes, with particular emphasis placed on this area by the Bayesian statistics and machine learning communities. In this…

应用统计 · 统计学 2024-12-17 Roberto Macrì Demartino , Leonardo Egidi , Nicola Torelli

In designing personalized ranking algorithms, it is desirable to encourage a high precision at the top of the ranked list. Existing methods either seek a smooth convex surrogate for a non-smooth ranking metric or directly modify updating…

机器学习 · 统计学 2018-08-15 Kuan Liu , Prem Natarajan

Traditional Learning-To-Rank (LETOR) approaches, including pairwise methods like RankNet and LambdaMART, often fall short by solely focusing on pairwise comparisons, leading to sub-optimal global rankings. Conversely, deep learning based…

人工智能 · 计算机科学 2025-03-25 Weixian Waylon Li , Yftah Ziser , Yifei Xie , Shay B. Cohen , Tiejun Ma

An important problem in text-ranking systems is handling the hard queries that form the tail end of the query distribution. The difficulty may arise due to the presence of uncommon, underspecified, or incomplete queries. In this work, we…

信息检索 · 计算机科学 2024-06-13 Abhijit Anand , Venktesh V , Vinay Setty , Avishek Anand

Many scientific problems involve data exhibiting both temporal and cross-sectional dependencies. While linear dependencies have been extensively studied, the theoretical analysis of regression estimators under nonlinear dependencies remains…

统计理论 · 数学 2025-02-27 Marie-Christine Düker , Adam Waterbury

The rank aggregation problem, which has many real-world applications, refers to the process of combining multiple input rankings into a single aggregated ranking. In dynamic settings, where new rankings arrive over time, efficiently…

数据结构与算法 · 计算机科学 2025-09-04 Morteza Alimi , Hourie Mehrabiun , Alireza Zarei

Sequence modeling faces challenges in capturing long-range dependencies across diverse tasks. Recent linear and transformer-based forecasters have shown superior performance in time series forecasting. However, they are constrained by their…

机器学习 · 计算机科学 2024-11-25 Bong Gyun Kang , Dongjun Lee , HyunGi Kim , DoHyun Chung , Sungroh Yoon

Ranking lists are often provided at regular time intervals in a range of applications, including economics, sports, marketing, and politics. Most popular methods for rank-order data postulate a linear specification for the latent scores,…

统计方法学 · 统计学 2025-12-09 Matteo Iacopini , Eoghan O'Neill , Luca Rossini

This paper introduces a new kernel-based classifier by viewing kernel matrices as generalized graphs and leveraging recent progress in graph embedding techniques. The proposed method facilitates fast and scalable kernel matrix embedding,…

机器学习 · 计算机科学 2024-11-12 Cencheng Shen

Time-series classification is essential across diverse domains, including medical diagnosis, industrial monitoring, financial forecasting, and human activity recognition. The Rocket algorithm has emerged as a simple yet powerful method,…

机器学习 · 统计学 2025-02-25 Jorge Marco-Blanco , Rubén Cuevas

Building on a recent paper by Georgiou and Lindquist [1] on the problem of rank deficiency of spectral densities and hidden dynamical relations after sampling of continuous-time stochastic processes, this paper is devoted to understanding…

动力系统 · 数学 2020-06-09 Wenqi Cao , Anders Lindquist , Giorgio Picci

We study matrix estimation problems arising in reinforcement learning (RL) with low-rank structure. In low-rank bandits, the matrix to be recovered specifies the expected arm rewards, and for low-rank Markov Decision Processes (MDPs), it…

机器学习 · 计算机科学 2023-10-31 Stefan Stojanovic , Yassir Jedra , Alexandre Proutiere

The Bradley-Terry-Luce (BTL) model is a benchmark model for pairwise comparisons between individuals. Despite recent progress on the first-order asymptotics of several popular procedures, the understanding of uncertainty quantification in…

统计理论 · 数学 2022-08-11 Chao Gao , Yandi Shen , Anderson Y. Zhang