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Graph neural networks (GNNs) are powerful machine learning models for various graph learning tasks. Recently, the limitations of the expressive power of various GNN models have been revealed. For example, GNNs cannot distinguish some…

机器学习 · 计算机科学 2021-01-19 Ryoma Sato , Makoto Yamada , Hisashi Kashima

Mechanistic network models specify the mechanisms by which networks grow and change, allowing researchers to investigate complex systems using both simulation and analytical techniques. Unfortunately, it is difficult to write likelihoods…

统计方法学 · 统计学 2023-07-19 Jonathan Larson , Jukka-Pekka Onnela

Almost all neural architecture search methods are evaluated in terms of performance (i.e. test accuracy) of the model structures that it finds. Should it be the only metric for a good autoML approach? To examine aspects beyond performance,…

机器学习 · 计算机科学 2020-03-04 Stefano Alletto , Shenyang Huang , Vincent Francois-Lavet , Yohei Nakata , Guillaume Rabusseau

We propose algorithms for approximate filtering and smoothing in high-dimensional Factorial hidden Markov models. The approximation involves discarding, in a principled way, likelihood factors according to a notion of locality in a factor…

机器学习 · 统计学 2022-03-04 Lorenzo Rimella , Nick Whiteley

We introduce an optimization model for maximum likelihood-type estimation (M-estimation) that generalizes a large class of existing statistical models, including Huber's concomitant M-estimator, Owen's Huber/Berhu concomitant estimator, the…

统计理论 · 数学 2018-10-09 Patrick L. Combettes , Christian L. Müller

Algorithmic Gaussianization is a phenomenon that can arise when using randomized sketching or sampling methods to produce smaller representations of large datasets: For certain tasks, these sketched representations have been observed to…

机器学习 · 计算机科学 2023-07-28 Michał Dereziński

The Convex Gaussian Min-Max Theorem (CGMT) has emerged as a prominent theoretical tool for analyzing the precise stochastic behavior of various statistical estimators in the so-called high dimensional proportional regime, where the sample…

统计理论 · 数学 2022-06-28 Qiyang Han , Yandi Shen

We consider the problem of computationally-efficient prediction with high dimensional and highly correlated predictors when accurate variable selection is effectively impossible. Direct application of penalization or Bayesian methods…

统计理论 · 数学 2019-09-12 Minerva Mukhopadhyay , David B. Dunson

Sketching and stochastic gradient methods are arguably the most common techniques to derive efficient large scale learning algorithms. In this paper, we investigate their application in the context of nonparametric statistical learning.…

机器学习 · 统计学 2019-01-25 Luigi Carratino , Alessandro Rudi , Lorenzo Rosasco

Missing values arise in most real-world data sets due to the aggregation of multiple sources and intrinsically missing information (sensor failure, unanswered questions in surveys...). In fact, the very nature of missing values usually…

机器学习 · 统计学 2022-02-04 Alexis Ayme , Claire Boyer , Aymeric Dieuleveut , Erwan Scornet

This paper investigates the large sample properties of local regression distribution estimators, which include a class of boundary adaptive density estimators as a prime example. First, we establish a pointwise Gaussian large sample…

计量经济学 · 经济学 2021-01-29 Matias D. Cattaneo , Michael Jansson , Xinwei Ma

We study the problem of selecting limited features to observe such that models trained on them can perform well simultaneously across multiple subpopulations. This problem has applications in settings where collecting each feature is…

机器学习 · 计算机科学 2025-10-27 Maitreyi Swaroop , Tamar Krishnamurti , Bryan Wilder

The standard margin-based structured prediction commonly uses a maximum loss over all possible structured outputs. The large-margin formulation including latent variables not only results in a non-convex formulation but also increases the…

机器学习 · 计算机科学 2019-06-25 Kevin Bello , Jean Honorio

In this paper we present theory, algorithms and applications for regression over the max- plus semiring. We show how max-plus 2-norm regression can be used to obtain maximum likelihood estimates for three different inverse problems. Namely…

数值分析 · 数学 2017-12-12 James Hook

Random Projection is a foundational research topic that connects a bunch of machine learning algorithms under a similar mathematical basis. It is used to reduce the dimensionality of the dataset by projecting the data points efficiently to…

机器学习 · 计算机科学 2017-10-10 Mahmoud Nabil

Kernel methods have recently attracted resurgent interest, showing performance competitive with deep neural networks in tasks such as speech recognition. The random Fourier features map is a technique commonly used to scale up kernel…

机器学习 · 计算机科学 2018-02-01 Tri Dao , Christopher De Sa , Christopher Ré

This paper develops a Bayesian computational platform at the interface between posterior sampling and optimization in models whose marginal likelihoods are difficult to evaluate. Inspired by adversarial optimization, namely Generative…

统计理论 · 数学 2021-12-01 Tetsuya Kaji , Veronika Rockova

Well known to the machine learning community, the random feature model is a parametric approximation to kernel interpolation or regression methods. It is typically used to approximate functions mapping a finite-dimensional input space to…

数值分析 · 数学 2022-06-23 Nicholas H. Nelsen , Andrew M. Stuart

Dimensionality reduction is one of the key issues in the design of effective machine learning methods for automatic induction. In this work, we introduce recursive maxima hunting (RMH) for variable selection in classification problems with…

机器学习 · 统计学 2018-06-11 José L. Torrecilla , Alberto Suárez

Joint sparsity offers powerful structural cues for feature selection, especially for variables that are expected to demonstrate a "grouped" behavior. Such behavior is commonly modeled via group-lasso, multitask lasso, and related methods…

机器学习 · 统计学 2012-04-09 Suvrit Sra