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In this paper, we propose the distributed tree kernels (DTK) as a novel method to reduce time and space complexity of tree kernels. Using a linear complexity algorithm to compute vectors for trees, we embed feature spaces of tree fragments…

机器学习 · 计算机科学 2012-06-22 Fabio Massimo Zanzotto , Lorenzo Dell'Arciprete

Estimating the mixing density of a latent mixture model is an important task in signal processing. Nonparametric maximum likelihood estimation is one popular approach to this problem. If the latent variable distribution is assumed to be…

统计方法学 · 统计学 2024-03-01 Shijie Wang , Minsuk Shin , Ray Bai

The Bayesian Context Trees (BCT) framework is a recently introduced, general collection of statistical and algorithmic tools for modelling, analysis and inference with discrete-valued time series. The foundation of this development is built…

信息论 · 计算机科学 2023-09-06 Ioannis Kontoyiannis

In this thesis, we consider several Random Energy Models. This includes Derrida's Random Energy Model (REM) and Generalized Random Energy Model (GREM) and a nonhierarchical version (BK-GREM) by Bolthausen and Kistler. The limiting free…

概率论 · 数学 2007-11-09 Nabin Kumar Jana

The estimation of a density profile from experimental data points is a challenging problem, usually tackled by plotting a histogram. Prior assumptions on the nature of the density, from its smoothness to the specification of its form, allow…

统计方法学 · 统计学 2015-03-13 Alberto Bernacchia , Simone Pigolotti

We design a new, fast algorithm for agnostically learning univariate probability distributions whose densities are well approximated by piecewise polynomial functions. Let $f$ be the density function of an arbitrary univariate distribution,…

数据结构与算法 · 计算机科学 2015-06-03 Jayadev Acharya , Ilias Diakonikolas , Jerry Li , Ludwig Schmidt

In data-mining applications, we are frequently faced with a large fraction of missing entries in the data matrix, which is problematic for most discriminant machine learning algorithms. A solution that we explore in this paper is the use of…

机器学习 · 计算机科学 2018-01-09 Olivier Delalleau , Aaron Courville , Yoshua Bengio

Popular generative model learning methods such as Generative Adversarial Networks (GANs), and Variational Autoencoders (VAE) enforce the latent representation to follow simple distributions such as isotropic Gaussian. In this paper, we…

机器学习 · 计算机科学 2018-03-15 Cem Subakan , Oluwasanmi Koyejo , Paris Smaragdis

Estimation of probability density function from samples is one of the central problems in statistics and machine learning. Modern neural network-based models can learn high dimensional distributions but have problems with hyperparameter…

机器学习 · 计算机科学 2022-02-28 Georgii S. Novikov , Maxim E. Panov , Ivan V. Oseledets

We present for static density functional theory and time-dependent density functional theory calculations an all-electron method which employs high-order hierarchical finite element bases. Our mesh generation scheme, in which structured…

材料科学 · 物理学 2009-08-06 Lauri Lehtovaara , Ville Havu , Martti Puska

We argue that diffusion models' success in modeling complex distributions is, for the most part, coming from their input conditioning. This paper investigates the representation used to condition diffusion models from the perspective that…

计算机视觉与模式识别 · 计算机科学 2026-01-07 Samuel Lavoie , Michael Noukhovitch , Aaron Courville

Regression trees and their ensemble methods are popular methods for nonparametric regression: they combine strong predictive performance with interpretable estimators. To improve their utility for locally smooth response surfaces, we study…

统计方法学 · 统计学 2021-09-13 Sören R. Künzel , Theo F. Saarinen , Edward W. Liu , Jasjeet S. Sekhon

Density estimation is a central primitive in probabilistic modeling, yet continuous, discrete, and mixed-variable domains are often treated by separate objectives, limiting the ability to exploit a common statistical structure across data…

人工智能 · 计算机科学 2026-05-12 Zhijun Zeng , Yixuan Jiang , Pipi Hu , Zuoqiang Shi

In recent years, optimization in the learned latent space of deep generative models has been successfully applied to black-box optimization problems such as drug design, image generation or neural architecture search. Existing models…

计算机视觉与模式识别 · 计算机科学 2023-06-13 Steffen Jung , Jan Christian Schwedhelm , Claudia Schillings , Margret Keuper

Dealing with datasets of very high dimension is a major challenge in machine learning. In this paper, we consider the problem of feature selection in applications where the memory is not large enough to contain all features. In this…

机器学习 · 统计学 2017-09-07 Antonio Sutera , Célia Châtel , Gilles Louppe , Louis Wehenkel , Pierre Geurts

We investigate statistical properties of a likelihood approach to nonparametric estimation of a singular distribution using deep generative models. More specifically, a deep generative model is used to model high-dimensional data that are…

机器学习 · 统计学 2023-03-29 Minwoo Chae , Dongha Kim , Yongdai Kim , Lizhen Lin

Biological sequences do not come at random. Instead, they appear with particular frequencies that reflect properties of the associated system or phenomenon. Knowing how biological sequences are distributed in sequence space is thus a…

生物物理 · 物理学 2024-04-18 Wei-Chia Chen , Juannan Zhou , David M. McCandlish

Many dynamic ensemble selection (DES) methods are known in the literature. A previously-developed by the authors, method consists in building a randomized classifier which is treated as a model of the base classifier. The model is…

机器学习 · 计算机科学 2021-09-17 Pawel Trajdos , Marek Kurzynski

Generating novel molecules is challenging, with most representations leading to generative models producing many invalid molecules. Spanning Tree-based Graph Generation (STGG) is a promising approach to ensure the generation of valid…

机器学习 · 计算机科学 2025-07-17 Alexia Jolicoeur-Martineau , Aristide Baratin , Kisoo Kwon , Boris Knyazev , Yan Zhang

Based on decision trees, many fields have arguably made tremendous progress in recent years. In simple words, decision trees use the strategy of "divide-and-conquer" to divide the complex problem on the dependency between input features and…

机器学习 · 计算机科学 2021-01-22 Jinxiong Zhang
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