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Much recent machine learning research has been directed towards leveraging shared statistics among labels, instances and data views, commonly referred to as multi-label, multi-instance and multi-view learning. The underlying premises are…

Machine Learning · Statistics 2017-03-16 Trang Pham , Truyen Tran , Svetha Venkatesh

In the context of statistical supervised learning, the noiseless linear model assumes that there exists a deterministic linear relation $Y = \langle \theta_*, X \rangle$ between the random output $Y$ and the random feature vector $\Phi(U)$,…

Machine Learning · Computer Science 2020-10-28 Raphaël Berthier , Francis Bach , Pierre Gaillard

Hybrid ensemble, an essential branch of ensembles, has flourished in the regression field, with studies confirming diversity's importance. However, previous ensembles consider diversity in the sub-model training stage, with limited…

Machine Learning · Computer Science 2023-05-16 Yun Bai , Ganglin Tian , Yanfei Kang , Suling Jia

The goal of unsupervised representation learning is to extract a new representation of data, such that solving many different tasks becomes easier. Existing methods typically focus on vectorized data and offer little support for relational…

Machine Learning · Statistics 2017-09-29 Sebastijan Dumancic , Hendrik Blockeel

In this paper we explore different regression models based on Clusterwise Linear Regression (CLR). CLR aims to find the partition of the data into $k$ clusters, such that linear regressions fitted to each of the clusters minimize overall…

Machine Learning · Computer Science 2018-05-01 Igor Gitman , Jieshi Chen , Eric Lei , Artur Dubrawski

Inductive knowledge graph completion requires models to comprehend the underlying semantics and logic patterns of relations. With the advance of pretrained language models, recent research have designed transformers for link prediction…

Computation and Language · Computer Science 2022-10-27 Bohua Peng , Shihao Liang , Mobarakol Islam

-Background. Network neuroscience examines the brain as a complex system represented by a network (or connectome), providing deeper insights into the brain morphology and function, allowing the identification of atypical brain connectivity…

Neurons and Cognition · Quantitative Biology 2020-09-01 Mert Lostar , Islem Rekik

Gaussian process regression in its most simplified form assumes normal homoscedastic noise and utilizes analytically tractable mean and covariance functions of predictive posterior distribution using Gaussian conditioning. Its…

Applications · Statistics 2023-01-20 Pooja Algikar , Lamine Mili

Although Gaussian processes (GPs) with deep kernels have been successfully used for meta-learning in regression tasks, its uncertainty estimation performance can be poor. We propose a meta-learning method for calibrating deep kernel GPs for…

Machine Learning · Statistics 2023-12-14 Tomoharu Iwata , Atsutoshi Kumagai

Support vector regression (SVR) has been widely used to reduce the high computational cost of computer simulation. SVR assumes the input parameters have equal sample sizes, but unequal sample sizes are often encountered in engineering…

Signal Processing · Electrical Eng. & Systems 2021-11-09 Maolin Shi , Wei Sun , Xueguan Song , Hongyou Li

Several classification methods assume that the underlying distributions follow tree-structured graphical models. Indeed, trees capture statistical dependencies between pairs of variables, which may be crucial to attain low classification…

Machine Learning · Statistics 2021-05-31 Yaniv Tenzer , Amit Moscovich , Mary Frances Dorn , Boaz Nadler , Clifford Spiegelman

The present paper provides a generalized model of network, namely, Hybrid Layered Network (HLN). We proved that the sets of all homogeneous, heterogeneous and multi-layered networks are subsets of the set of all HLNs depicting the model's…

Social and Information Networks · Computer Science 2025-03-03 Shraban Kumar Chatterjee , Suman Kundu

While deep neural networks are highly performant and successful in a wide range of real-world problems, estimating their predictive uncertainty remains a challenging task. To address this challenge, we propose and implement a loss function…

Machine Learning · Computer Science 2022-10-14 Tony Tohme , Kevin Vanslette , Kamal Youcef-Toumi

User identity linkage is a task of recognizing the identities of the same user across different social networks (SN). Previous works tackle this problem via estimating the pairwise similarity between identities from different SN, predicting…

Machine Learning · Computer Science 2019-11-01 Xiaoxue Li , Yanan Cao , Yanmin Shang , Yangxi Li , Yanbing Liu , Jianlong Tan

Aligning users across networks using graph representation learning has been found effective where the alignment is accomplished in a low-dimensional embedding space. Yet, achieving highly precise alignment is still challenging, especially…

Social and Information Networks · Computer Science 2023-01-02 Li Liu , Penggang Chen , Xin Li , William K. Cheung , Youmin Zhang , Qun Liu , Guoyin Wang

Function-on-function linear regression is important for understanding the relationship between the response and the predictor that are both functions. In this article, we propose a reproducing kernel Hilbert space approach to…

Statistics Theory · Mathematics 2021-09-29 Holger Dette , Jiajun Tang

In the past few years, approximate Bayesian Neural Networks (BNNs) have demonstrated the ability to produce statistically consistent posteriors on a wide range of inference problems at unprecedented speed and scale. However, any disconnect…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-24 Sebastian Wagner-Carena , Ji Won Park , Simon Birrer , Philip J. Marshall , Aaron Roodman , Risa H. Wechsler

Bayesian Last Layers (BLLs) provide a convenient and computationally efficient way to estimate uncertainty in neural networks. However, they underestimate epistemic uncertainty because they apply a Bayesian treatment only to the final…

Restricted Boltzmann Machines are key tools in Machine Learning and are described by the energy function of bipartite spin-glasses. From a statistical mechanical perspective, they share the same Gibbs measure of Hopfield networks for…

Mathematical Physics · Physics 2017-08-02 Elena Agliari , Adriano Barra , Chiara Longo , Daniele Tantari

Spectral clustering is a celebrated algorithm that partitions objects based on pairwise similarity information. While this approach has been successfully applied to a variety of domains, it comes with limitations. The reason is that there…

Statistics Theory · Mathematics 2018-05-24 Kwangjun Ahn , Kangwook Lee , Changho Suh