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In machine learning it is common to interpret each data point as a vector in Euclidean space. However the data may actually be functional i.e.\ each data point is a function of some variable such as time and the function is discretely…

Computer Vision and Pattern Recognition · Computer Science 2016-01-07 Stephen Tierney , Junbin Gao , Yi Guo , Zhengwu Zhang

This article considers algorithmic and statistical aspects of linear regression when the correspondence between the covariates and the responses is unknown. First, a fully polynomial-time approximation scheme is given for the natural least…

Machine Learning · Computer Science 2017-11-09 Daniel Hsu , Kevin Shi , Xiaorui Sun

Real-world graphs naturally exhibit hierarchical or cyclical structures that are unfit for the typical Euclidean space. While there exist graph neural networks that leverage hyperbolic or spherical spaces to learn representations that embed…

Machine Learning · Computer Science 2023-09-11 Sungjun Cho , Seunghyuk Cho , Sungwoo Park , Hankook Lee , Honglak Lee , Moontae Lee

We propose a supervised principal component regression method for relating functional responses with high dimensional predictors. Unlike the conventional principal component analysis, the proposed method builds on a newly defined expected…

Methodology · Statistics 2023-08-17 Xinyi Zhang , Qiang Sun , Dehan Kong

Motivated by the pressing request of methods able to create prediction sets in a general regression framework for a multivariate functional response and pushed by new methodological advancements in non-parametric prediction for functional…

Methodology · Statistics 2021-06-04 Jacopo Diquigiovanni , Matteo Fontana , Simone Vantini

Random variables in metric spaces indexed by time and observed at equally spaced time points are receiving increased attention due to their broad applicability. The absence of inherent structure in metric spaces has resulted in a literature…

Methodology · Statistics 2024-09-24 Matthieu Bulté , Helle Sørensen

The de facto approach in video object-centric learning maintains temporal consistency through learned dynamics modules that predict future object representations, called slots. We demonstrate that these predictors function as expensive…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Zhiyuan Li , Rongzhen Zhao , Wenyan Yang , Wenshuai Zhao , Pekka Marttinen , Joni Pajarinen

Convolutional Neural Networks (CNNs) have recently emerged as the dominant model in computer vision. If provided with enough training data, they predict almost any visual quantity. In a discrete setting, such as classification, CNNs are not…

Computer Vision and Pattern Recognition · Computer Science 2015-11-25 Deepak Pathak , Philipp Krähenbühl , Stella X. Yu , Trevor Darrell

Embedding models, which learn latent representations of users and items based on user-item interaction patterns, are a key component of recommendation systems. In many applications, contextual constraints need to be applied to refine…

Information Retrieval · Computer Science 2019-07-04 Syrine Krichene , Mike Gartrell , Clement Calauzenes

We consider regression scenarios where it is natural to impose an order constraint on the coefficients. We propose an order-constrained version of L1-regularized regression for this problem, and show how to solve it efficiently using the…

Applications · Statistics 2017-06-01 Xiaotong Suo , Robert Tibshirani

Recurrent neural networks (RNNs) are state-of-the-art in several sequential learning tasks, but they often require considerable amounts of data to generalise well. For many time series forecasting (TSF) tasks, only a few dozens of…

Machine Learning · Computer Science 2020-03-30 Bernardo Pérez Orozco , Stephen J Roberts

The linear regression model is widely used in empirical work in Economics, Statistics, and many other disciplines. Researchers often include many covariates in their linear model specification in an attempt to control for confounders. We…

Statistics Theory · Mathematics 2017-12-12 Matias D. Cattaneo , Michael Jansson , Whitney K. Newey

Conventional reinforcement learning (RL) algorithms exhibit broad generality in their theoretical formulation and high performance on several challenging domains when combined with powerful function approximation. However, developing RL…

Machine Learning · Computer Science 2023-11-07 Joseph Modayil , Zaheer Abbas

Multivariate time series is prevalent in many scientific and industrial domains. Modeling multivariate signals is challenging due to their long-range temporal dependencies and intricate interactions--both direct and indirect. To confront…

Machine Learning · Computer Science 2023-12-01 Juhyeon Kim , Hyungeun Lee , Seungwon Yu , Ung Hwang , Wooyul Jung , Miseon Park , Kijung Yoon

Multiple object tracking is to give each object an id in the video. The difficulty is how to match the predicted objects and detected objects in same frames. Matching features include appearance features, location features, etc. These…

Computer Vision and Pattern Recognition · Computer Science 2021-01-07 Jie Zhang

Spatial models are used in a variety research areas, such as environmental sciences, epidemiology, or physics. A common phenomenon in many spatial regression models is spatial confounding. This phenomenon takes place when spatially indexed…

Methodology · Statistics 2021-06-08 Isa Marques , Thomas Kneib , Nadja Klein

New local linear estimators are proposed for a wide class of nonparametric regression models. The estimators are uniformly consistent regardless of satisfying traditional conditions of depen\-dence of design elements. The estimators are the…

Statistics Theory · Mathematics 2022-07-05 Yuliana Linke , Igor Borisov , Pavel Ruzankin , Vladimir Kutsenko , Elena Yarovaya , Svetlana Shalnova

It has been some time since interval-valued linear regression was investigated. In this paper, we focus on linear regression for interval-valued data within the framework of random sets. The model we propose generalizes a series of existing…

Methodology · Statistics 2015-06-12 Yan Sun , Chunyang Li

The problem of estimating a parametric or nonparametric regression function in a model with normal errors is considered. For this purpose, a novel objective prior for the regression function is proposed, defined as the distribution…

Statistics Theory · Mathematics 2019-12-13 Wicher Bergsma

Traffic forecasting is an essential problem in urban planning and computing. The complex dynamic spatial-temporal dependencies among traffic objects (e.g., sensors and road segments) have been calling for highly flexible models;…

Machine Learning · Computer Science 2023-08-14 Juyong Jiang , Binqing Wu , Ling Chen , Kai Zhang , Sunghun Kim