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Extracting automatically the complex set of features composing real high-dimensional data is crucial for achieving high performance in machine--learning tasks. Restricted Boltzmann Machines (RBM) are empirically known to be efficient for…

数据分析、统计与概率 · 物理学 2017-04-05 Jérôme Tubiana , Rémi Monasson

Although Large Language Models (LLMs) have demonstrated potential in processing graphs, they struggle with comprehending graphical structure information through prompts of graph description sequences, especially as the graph size increases.…

计算与语言 · 计算机科学 2024-12-17 Yukun Cao , Shuo Han , Zengyi Gao , Zezhong Ding , Xike Xie , S. Kevin Zhou

Human decision making underlies data generating process in multiple application areas, and models explaining and predicting choices made by individuals are in high demand. Discrete choice models are widely studied in economics and…

社会与信息网络 · 计算机科学 2017-11-06 Danqing Zhang , Kimon Fountoulakis , Junyu Cao , Michael Mahoney , Alexei Pozdnoukhov

In many structured prediction problems, complex relationships between variables are compactly defined using graphical structures. The most prevalent graphical prediction methods---probabilistic graphical models and large margin…

机器学习 · 统计学 2018-11-08 Rizal Fathony , Ashkan Rezaei , Mohammad Ali Bashiri , Xinhua Zhang , Brian D. Ziebart

Forecasting in the real world requires integrating structured time-series data with unstructured textual information, but existing methods are architecturally limited by fixed input/output horizons and are unable to model or quantify…

机器学习 · 计算机科学 2025-10-27 Sungjun Cho , Changho Shin , Suenggwan Jo , Xinya Yan , Shourjo Aditya Chaudhuri , Frederic Sala

The graphical lasso is a widely used algorithm for fitting undirected Gaussian graphical models. However, for inference on functionals of edge values in the learned graph, standard tools lack formal statistical guarantees, such as control…

统计方法学 · 统计学 2025-04-01 Sofia Guglielmini , Gerda Claeskens , Snigdha Panigrahi

We present a layered Boltzmann machine (BM) that can better exploit the advantages of a distributed representation. It is widely believed that deep BMs (DBMs) have far greater representational power than its shallow counterpart, restricted…

神经与进化计算 · 计算机科学 2015-06-23 Taichi Kiwaki

In this paper, a new progressive mesh algorithm is introduced in order to perform fast physical simulations by the use of a lattice Boltzmann method (LBM) on a single-node multi-GPU architecture. This algorithm is able to mesh automatically…

分布式、并行与集群计算 · 计算机科学 2015-10-14 Julien Duchateau , François Rousselle , Nicolas Maquignon , Gilles Roussel , Christophe Renaud

Graph representation learning, involving both node features and graph structures, is crucial for real-world applications but often encounters pervasive noise. State-of-the-art methods typically address noise by focusing separately on node…

机器学习 · 计算机科学 2024-10-17 Guangxin Su , Yifan Zhu , Wenjie Zhang , Hanchen Wang , Ying Zhang

This paper develops a general framework for learning interpretable data representation via Long Short-Term Memory (LSTM) recurrent neural networks over hierarchal graph structures. Instead of learning LSTM models over the pre-fixed…

计算机视觉与模式识别 · 计算机科学 2017-03-10 Xiaodan Liang , Liang Lin , Xiaohui Shen , Jiashi Feng , Shuicheng Yan , Eric P. Xing

Statistical analysis of evolutionary-related protein sequences provides insights about their structure, function, and history. We show that Restricted Boltzmann Machines (RBM), designed to learn complex high-dimensional data and their…

定量方法 · 定量生物学 2019-02-28 Jérôme Tubiana , Simona Cocco , Rémi Monasson

Link prediction is a fundamental task in statistical network analysis. Recent advances have been made on learning flexible nonparametric Bayesian latent feature models for link prediction. In this paper, we present a max-margin learning…

机器学习 · 计算机科学 2016-02-25 Jun Zhu , Jiaming Song , Bei Chen

We introduce a conceptually novel structured prediction model, GPstruct, which is kernelized, non-parametric and Bayesian, by design. We motivate the model with respect to existing approaches, among others, conditional random fields (CRFs),…

机器学习 · 统计学 2013-07-16 Sebastien Bratieres , Novi Quadrianto , Zoubin Ghahramani

Exponential random graph models (ERGMs) are a widely used framework for network data, enabling hypothesis testing on the structural mechanisms underlying observed networks. Bayesian ERGMs provide principled uncertainty quantification and…

统计方法学 · 统计学 2026-05-26 Alberto Caimo , Isabella Gollini

We devise an algorithm to generate propositions that objectively instantiate graphs supporting coherence-driven inference. We also benchmark the ability of large language models (LLMs) to reconstruct coherence graphs from (a simple…

人工智能 · 计算机科学 2025-08-21 Steve Huntsman , Jewell Thomas

Approximate inference in probabilistic graphical models (PGMs) can be grouped into deterministic methods and Monte-Carlo-based methods. The former can often provide accurate and rapid inferences, but are typically associated with biases…

机器学习 · 统计学 2019-01-09 Fredrik Lindsten , Jouni Helske , Matti Vihola

Deep neural networks (DNNs) lack the precise semantics and definitive probabilistic interpretation of probabilistic graphical models (PGMs). In this paper, we propose an innovative solution by constructing infinite tree-structured PGMs that…

机器学习 · 统计学 2025-03-25 Boyao Li , Alexander J. Thomson , Houssam Nassif , Matthew M. Engelhard , David Page

The analysis of mixed data has been raising challenges in statistics and machine learning. One of two most prominent challenges is to develop new statistical techniques and methodologies to effectively handle mixed data by making the data…

机器学习 · 计算机科学 2017-08-21 Tu Dinh Nguyen , Truyen Tran , Dinh Phung , Svetha Venkatesh

The projected belief network (PBN) is a layered generative network (LGN) with tractable likelihood function, and is based on a feed-forward neural network (FFNN). There are two versions of the PBN: stochastic and deterministic (D-PBN), and…

机器学习 · 计算机科学 2022-04-28 Paul M Baggenstoss

Restricted Boltzmann Machine (RBM) is a particular type of random neural network models modeling vector data based on the assumption of Bernoulli distribution. For multi-dimensional and non-binary data, it is necessary to vectorize and…

计算机视觉与模式识别 · 计算机科学 2016-09-28 Simeng Liu , Yanfeng Sun , Yongli Hu , Junbin Gao , Baocai Yin