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Statistical approaches for Functional Data Analysis concern the paradigm for which the individuals are functions or curves rather than finite dimensional vectors. In this paper, we particularly focus on the modeling and the classification…

统计方法学 · 统计学 2013-12-30 Faicel Chamroukhi , Hervé Glotin

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

We develop a flexible Erlang mixture model for survival analysis. The model for the survival density is built from a structured mixture of Erlang densities, mixing on the integer shape parameter with a common scale parameter. The mixture…

统计方法学 · 统计学 2022-11-17 Yunzhe Li , Juhee Lee , Athanasios Kottas

We introduce a new class of non-linear models for functional data based on neural networks. Deep learning has been very successful in non-linear modeling, but there has been little work done in the functional data setting. We propose two…

机器学习 · 计算机科学 2023-05-11 Aniruddha Rajendra Rao , Matthew Reimherr

Traditionally, spline or kernel approaches in combination with parametric estimation are used to infer the linear coefficient (fixed effects) in a partially linear mixed-effects model for repeated measurements. Using machine learning…

统计方法学 · 统计学 2023-04-03 Corinne Emmenegger , Peter Bühlmann

Although Recurrent Neural Network (RNN) has been a powerful tool for modeling sequential data, its performance is inadequate when processing sequences with multiple patterns. In this paper, we address this challenge by introducing a novel…

机器学习 · 计算机科学 2019-02-28 Kui Zhao , Yuechuan Li , Chi Zhang , Cheng Yang , Huan Xu

Learning effective protein representations is critical in a variety of tasks in biology such as predicting protein functions. Recent sequence representation learning methods based on Protein Language Models (PLMs) excel in sequence-based…

定量方法 · 定量生物学 2023-10-19 Zuobai Zhang , Chuanrui Wang , Minghao Xu , Vijil Chenthamarakshan , Aurélie Lozano , Payel Das , Jian Tang

In this article we will analyse how to compute the contribution of each input value to its aggregate output in some nonlinear models. Regression and classification applications, together with related algorithms for deep neural networks are…

机器学习 · 计算机科学 2022-07-26 Cosimo Izzo

Class probabilities predicted by most multiclass classifiers are uncalibrated, often tending towards over-confidence. With neural networks, calibration can be improved by temperature scaling, a method to learn a single corrective…

机器学习 · 计算机科学 2019-10-29 Meelis Kull , Miquel Perello-Nieto , Markus Kängsepp , Telmo Silva Filho , Hao Song , Peter Flach

Forecast combination integrates information from various sources by consolidating multiple forecast results from the target time series. Instead of the need to select a single optimal forecasting model, this paper introduces a deep learning…

机器学习 · 计算机科学 2023-11-27 Yinuo Ren , Feng Li , Yanfei Kang , Jue Wang

We present a Bayesian nonparametric framework for multilevel clustering which utilizes group-level context information to simultaneously discover low-dimensional structures of the group contents and partitions groups into clusters. Using…

机器学习 · 计算机科学 2014-01-30 Vu Nguyen , Dinh Phung , XuanLong Nguyen , Svetha Venkatesh , Hung Hai Bui

Multivariate categorical data are routinely collected in many application areas. As the number of cells in the table grows exponentially with the number of variables, many or even most cells will contain zero observations. This severe…

统计方法学 · 统计学 2020-04-06 Emanuele Aliverti , David B. Dunson

A multitude of imaging and vision tasks have seen recently a major transformation by deep learning methods and in particular by the application of convolutional neural networks. These methods achieve impressive results, even for…

计算机视觉与模式识别 · 计算机科学 2018-11-30 Simon Arridge , Andreas Hauptmann

Extracting and fusing part features have become the key of fined-grained image recognition. Recently, Non-local (NL) module has shown excellent improvement in image recognition. However, it lacks the mechanism to model the interactions…

计算机视觉与模式识别 · 计算机科学 2020-05-20 Zihan Ye , Fuyuan Hu , Yin Liu , Zhenping Xia , Fan Lyu , Pengqing Liu

Standard regression approaches assume that some finite number of the response distribution characteristics, such as location and scale, change as a (parametric or nonparametric) function of predictors. However, it is not always appropriate…

统计方法学 · 统计学 2020-07-14 Fernand A. Quintana , Peter Mueller , Alejandro Jara , Steven N. MacEachern

Envelope model also known as multivariate regression model was proposed to solve the multiple response regression problems. It measures the linear association between predictors and multiple responses by using the minimal reducing subspace…

统计方法学 · 统计学 2018-05-07 Bochao Jia

State estimation and sensor selection problems for nonlinear networks and systems are ubiquitous problems that are important for the control, monitoring, analysis, and prediction of a large number of engineered and physical systems. Sensor…

系统与控制 · 电气工程与系统科学 2021-03-23 Aleksandar Haber

Discriminative linear models are a popular tool in machine learning. These can be generally divided into two types: The first is linear classifiers, such as support vector machines, which are well studied and provide state-of-the-art…

机器学习 · 计算机科学 2012-07-02 Koby Crammer , Amir Globerson

In todays age of data, discovering relationships between different variables is an interesting and a challenging problem. This problem becomes even more critical with regards to complex dynamical systems like weather forecasting and…

数据分析、统计与概率 · 物理学 2021-02-01 Sachin Kasture

Seemingly unrelated linear regression models are introduced in which the distribution of the errors is a finite mixture of Gaussian components. Identifiability conditions are provided. The score vector and the Hessian matrix are derived.…

统计方法学 · 统计学 2014-03-18 Giuliano Galimberti , Elena Scardovi , Gabriele Soffritti