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We propose a novel distributed inference algorithm for continuous graphical models, by extending Stein variational gradient descent (SVGD) to leverage the Markov dependency structure of the distribution of interest. Our approach combines…

机器学习 · 统计学 2018-06-11 Dilin Wang , Zhe Zeng , Qiang Liu

A discrete-time stochastic process derived from a model of basketball is used to generalize any discrete distribution. The generalized distributions can have one or two more parameters than the parent distribution. Those derived from…

应用统计 · 统计学 2020-06-25 Rose Baker

Graph is a prevalent discrete data structure, whose generation has wide applications such as drug discovery and circuit design. Diffusion generative models, as an emerging research focus, have been applied to graph generation tasks.…

机器学习 · 计算机科学 2024-11-05 Zhe Xu , Ruizhong Qiu , Yuzhong Chen , Huiyuan Chen , Xiran Fan , Menghai Pan , Zhichen Zeng , Mahashweta Das , Hanghang Tong

This note studies the distributed non-convex optimization problem with non-smooth regularization, which has wide applications in decentralized learning, estimation and control. The objective function is the sum of different local objective…

最优化与控制 · 数学 2021-03-04 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen

Probabilistic relaxations of graph cuts offer a differentiable alternative to spectral clustering, enabling end-to-end and online learning without eigendecompositions, yet prior work centered on RatioCut and lacked general guarantees and…

机器学习 · 计算机科学 2026-04-02 Ayoub Ghriss

In the past few years, following the differentiable programming paradigm, there has been a growing interest in computing the gradient information of physical processes (e.g., physical simulation, image rendering). However, such processes…

机器人学 · 计算机科学 2022-06-24 Quentin Le Lidec , Louis Montaut , Cordelia Schmid , Ivan Laptev , Justin Carpentier

This paper studies fixed-rate randomized vector quantization under the constraint that the quantizer's output has a given fixed probability distribution. A general representation of randomized quantizers that includes the common models in…

信息论 · 计算机科学 2016-11-15 Naci Saldi , Tamás Linder , Serdar Yüksel

We propose a new approach to inference in tightly identified and large-scale structural vector autoregressions based on a reparameterization that enables imposing identifying inequality restrictions through continuously differentiable…

计量经济学 · 经济学 2026-05-22 Markku Lanne , Jani Luoto , Adam Rybarczyk

We describe a dynamic programming algorithm for computing the marginal distribution of discrete probabilistic programs. This algorithm takes a functional interpreter for an arbitrary probabilistic programming language and turns it into an…

人工智能 · 计算机科学 2012-09-12 Andreas Stuhlmüller , Noah D. Goodman

Sorting input objects is an important step in many machine learning pipelines. However, the sorting operator is non-differentiable with respect to its inputs, which prohibits end-to-end gradient-based optimization. In this work, we propose…

机器学习 · 统计学 2019-04-30 Aditya Grover , Eric Wang , Aaron Zweig , Stefano Ermon

Within many machine learning algorithms, a fundamental problem concerns efficient calculation of an unbiased gradient wrt parameters $\gammav$ for expectation-based objectives $\Ebb_{q_{\gammav} (\yv)} [f(\yv)]$. Most existing methods…

机器学习 · 统计学 2019-01-21 Yulai Cong , Miaoyun Zhao , Ke Bai , Lawrence Carin

We propose a simple algorithm to train stochastic neural networks to draw samples from given target distributions for probabilistic inference. Our method is based on iteratively adjusting the neural network parameters so that the output…

机器学习 · 统计学 2017-11-01 Yihao Feng , Dilin Wang , Qiang Liu

Gas transport and other complex real-world challenges often require solving and controlling partial differential equations (PDEs) defined on graph structures, which typically demand substantial memory and computational resources. The Random…

数值分析 · 数学 2025-06-16 Martín Hernández , Enrique Zuazua

In this paper we introduce a new clustering technique called Regularity Clustering. This new technique is based on the practical variants of the two constructive versions of the Regularity Lemma, a very useful tool in graph theory. The…

组合数学 · 数学 2012-10-01 Gábor N. Sárközy , Fei Song , Endre Szemerédi , Shubhendu Trivedi

We consider the problem of molecular graph generation using deep models. While graphs are discrete, most existing methods use continuous latent variables, resulting in inaccurate modeling of discrete graph structures. In this work, we…

机器学习 · 计算机科学 2021-06-03 Youzhi Luo , Keqiang Yan , Shuiwang Ji

This paper is about regularizing deep convolutional networks (CNNs) based on an adaptive framework for transfer learning with limited training data in the target domain. Recent advances of CNN regularization in this context are commonly due…

计算机视觉与模式识别 · 计算机科学 2020-04-29 Yang Zhong , Atsuto Maki

Time series forecasting is an extensively studied subject in statistics, economics, and computer science. Exploration of the correlation and causation among the variables in a multivariate time series shows promise in enhancing the…

机器学习 · 计算机科学 2021-04-22 Chao Shang , Jie Chen , Jinbo Bi

The unsupervised learning of community structure, in particular the partitioning vertices into clusters or communities, is a canonical and well-studied problem in exploratory graph analysis. However, like most graph analyses the…

机器学习 · 计算机科学 2020-07-27 Benjamin W. Priest , Alec Dunton , Geoffrey Sanders

In this paper we consider distributed optimization problems in which the cost function is separable, i.e., a sum of possibly non-smooth functions all sharing a common variable, and can be split into a strongly convex term and a convex one.…

系统与控制 · 计算机科学 2016-06-27 Ivano Notarnicola , Giuseppe Notarstefano

Models incorporating uncertain inputs, such as random forces or material parameters, have been of increasing interest in PDE-constrained optimization. In this paper, we focus on the efficient numerical minimization of a convex and smooth…

最优化与控制 · 数学 2021-06-18 Caroline Geiersbach , Winnifried Wollner