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This paper explores the extension of dimension reduction (DR) techniques to the multi-dimension case by using the Einstein product. Our focus lies on graph-based methods, encompassing both linear and nonlinear approaches, within both…

Numerical Analysis · Mathematics 2025-11-25 Alaeddine Zahir , Khalide Jbilou , Ahmed Ratnani

These lecture notes cover advanced topics in linear regression, with an in-depth exploration of the existence, uniqueness, relations, computation, and non-asymptotic properties of the most prominent estimators in this setting. The covered…

Methodology · Statistics 2025-12-05 Alberto Quaini

We study nonlinear regression of real valued data in an individual sequence manner, where we provide results that are guaranteed to hold without any statistical assumptions. We address the convergence and undertraining issues of…

Machine Learning · Computer Science 2014-10-08 N. Denizcan Vanli , Muhammed O. Sayin , Suleyman S. Kozat

As an essential branch of recommender systems, sequential recommendation (SR) has received much attention due to its well-consistency with real-world situations. However, the widespread data sparsity issue limits the SR model's performance.…

Information Retrieval · Computer Science 2024-09-23 Yizhou Dang , Enneng Yang , Yuting Liu , Guibing Guo , Linying Jiang , Jianzhe Zhao , Xingwei Wang

Regression discontinuity designs are extensively used for causal inference in observational studies. However, they are usually confined to settings with simple treatment rules, determined by a single running variable, with a single cutoff.…

Methodology · Statistics 2022-02-10 Juan D. Diaz , Jose R. Zubizarreta

Over the long history of machine learning, which dates back several decades, recurrent neural networks (RNNs) have been used mainly for sequential data and time series and generally with 1D information. Even in some rare studies on 2D…

Computer Vision and Pattern Recognition · Computer Science 2021-03-05 Nguyen Huu Phong , Bernardete Ribeiro

Although numerous recent tracking approaches have made tremendous advances in the last decade, achieving high-performance visual tracking remains a challenge. In this paper, we propose an end-to-end network model to learn reinforced…

Computer Vision and Pattern Recognition · Computer Science 2020-01-03 Peng Gao , Qiquan Zhang , Fei Wang , Liyi Xiao , Hamido Fujita , Yan Zhang

This paper introduces an effcient class of adaptive stencil extension reconstruction methods based on a discontinuity feedback factor, addressing the challenges of weak robustness and high computational cost in high-order schemes,…

Numerical Analysis · Mathematics 2024-10-10 Hong Zhang , Yue Zhao , Xing Ji , Kun Xu

This paper introduces a novel method to fine-tune handwriting recognition systems based on Recurrent Neural Networks (RNN). Long Short-Term Memory (LSTM) networks are good at modeling long sequences but they tend to overfit over time. To…

Computer Vision and Pattern Recognition · Computer Science 2021-02-02 Edgard Chammas , Chafic Mokbel

Autoregressive (AR) models remain the standard for natural language generation but still suffer from high latency due to strictly sequential decoding. Recent diffusion-inspired approaches, such as LlaDA and Dream, mitigate this by…

Computation and Language · Computer Science 2025-10-16 Qinglin Zhu , Yizhen Yao , Runcong Zhao , Yanzheng Xiang , Amrutha Saseendran , Chen Jin , Philip Teare , Bin Liang , Yulan He , Lin Gui

Reciprocal recommender system (RRS), considering a two-way matching between two parties, has been widely applied in online platforms like online dating and recruitment. Existing RRS models mainly capture static user preferences, which have…

Information Retrieval · Computer Science 2023-06-27 Bowen Zheng , Yupeng Hou , Wayne Xin Zhao , Yang Song , Hengshu Zhu

Repetitive Scenario Design (RSD) is a randomized approach to robust design based on iterating two phases: a standard scenario design phase that uses $N$ scenarios (design samples), followed by randomized feasibility phase that uses $N_o$…

Systems and Control · Computer Science 2016-02-12 Giuseppe C. Calafiore

Monocular depth estimation is fundamental for 3D scene understanding and downstream applications. However, even under the supervised setup, it is still challenging and ill-posed due to the lack of full geometric constraints. Although a…

Computer Vision and Pattern Recognition · Computer Science 2023-04-14 Luigi Piccinelli , Christos Sakaridis , Fisher Yu

The problem of devising learning strategies for discrete losses (e.g., multilabeling, ranking) is currently addressed with methods and theoretical analyses ad-hoc for each loss. In this paper we study a least-squares framework to…

Machine Learning · Computer Science 2018-10-17 Alex Nowak-Vila , Francis Bach , Alessandro Rudi

We obtain an expansion of the implicit weak discretization error for the target of stochastic approximation algorithms introduced and studied in [Frikha2013]. This allows us to extend and develop the Richardson-Romberg extrapolation method…

Probability · Mathematics 2015-03-10 Noufel Frikha , Lorick Huang

A simple method for numerical analytic continuation is developed. It is designed to analytically continue the imaginary time (Matsubara frequency) quantum Monte Carlo simulation results to the real time (real frequency) domain. Such a…

Computational Physics · Physics 2018-12-07 Jian Wang , Sudip Chakravarty

RGB-D tracking significantly improves the accuracy of object tracking. However, its dependency on real depth inputs and the complexity involved in multi-modal fusion limit its applicability across various scenarios. The utilization of depth…

Computer Vision and Pattern Recognition · Computer Science 2024-05-24 Zhenyu Wei , Yujie He , Zhanchuan Cai

Recent advancements in video generation have demonstrated the potential of using video diffusion models as world models, with autoregressive generation of infinitely long videos through masked conditioning. However, such models, usually…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Taiye Chen , Zihan Ding , Anjian Li , Christina Zhang , Zeqi Xiao , Yisen Wang , Chi Jin

These lecture notes provide an overview of existing methodologies and recent developments for estimation and inference with high dimensional time series regression models. First, we present main limit theory results for high dimensional…

Econometrics · Economics 2023-09-01 Christis Katsouris

The external validity of regression discontinuity designs is crucial for informing policy but is rarely examined in applied work. To advance empirical practice, we propose a joint inference procedure for the treatment effect and its local…

Econometrics · Economics 2026-02-17 Yuta Okamoto
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