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Sequence-based modeling broadly refers to algorithms that act on data that is represented as an ordered set of input elements. In particular, Machine Learning algorithms with sequences as inputs have seen successfull applications to…

数据分析、统计与概率 · 物理学 2021-02-12 Rafael Teixeira de Lima

We introduce factorize sum split product networks (FSPNs), a new class of probabilistic graphical models (PGMs). FSPNs are designed to overcome the drawbacks of existing PGMs in terms of estimation accuracy and inference efficiency.…

人工智能 · 计算机科学 2020-11-23 Ziniu Wu , Rong Zhu , Andreas Pfadler , Yuxing Han , Jiangneng Li , Zhengping Qian , Kai Zeng , Jingren Zhou

Probabilistic sentential decision diagrams are a class of structured-decomposable probabilistic circuits especially designed to embed logical constraints. To adapt the classical LearnSPN scheme to learn the structure of these models, we…

人工智能 · 计算机科学 2021-07-27 Alessandro Antonucci , Alessandro Facchini , Lilith Mattei

We introduce Graph-Structured Sum-Product Networks (GraphSPNs), a probabilistic approach to structured prediction for problems where dependencies between latent variables are expressed in terms of arbitrary, dynamic graphs. While many…

机器学习 · 计算机科学 2017-11-23 Kaiyu Zheng , Andrzej Pronobis , Rajesh P. N. Rao

In quantum mechanics, a norm squared wave function can be interpreted as the probability density that describes the likelihood of a particle to be measured in a given position or momentum. This statistical property is at the core of the…

机器学习 · 计算机科学 2020-11-12 Yingtao Luo , Xuefeng Zhu

We consider consistent particle systems, which include independent random walkers, the symmetric exclusion and inclusion processes, as well as the dual of the KMP model. Consistent systems are such that the distribution obtained by first…

概率论 · 数学 2019-12-24 Gioia Carinci , Cristian Giardinà , Frank Redig

In this paper, we introduce elements of probabilistic model that is suitable for modeling of learning algorithms in biologically plausible artificial neural networks framework. Model is based on two of the main concepts in quantum physics -…

神经与进化计算 · 计算机科学 2010-01-26 Marko V. Jankovic

Recent advances in statistical inference have significantly expanded the toolbox of probabilistic modeling. Historically, probabilistic modeling has been constrained to (i) very restricted model classes where exact or approximate…

机器学习 · 计算机科学 2019-10-03 Andrés R. Masegosa , Rafael Cabañas , Helge Langseth , Thomas D. Nielsen , Antonio Salmerón

We first describe a general class of optimization problems that describe many natural, economic, and statistical phenomena. After noting the existence of a conserved quantity in a transformed coordinate system, we outline several instances…

最优化与控制 · 数学 2018-04-03 David Rushing Dewhurst

Stochastic simulation algorithms such as likelihood weighting often give fast, accurate approximations to posterior probabilities in probabilistic networks, and are the methods of choice for very large networks. Unfortunately, the special…

人工智能 · 计算机科学 2016-11-26 Keiji Kanazawa , Daphne Koller , Stuart Russell

In this paper we study homomorphisms of Probabilistic Regulatory Gene Networks(PRN) introduced in arXiv:math.DS/0603289 v1 13 Mar 2006. The model PRN is a natural generalization of the Probabilistic Boolean Networks (PBN), introduced by I.…

动力系统 · 数学 2007-05-23 Maria A. Avino-Diaz

Probabilistic programming is related to a compositional approach to stochastic modeling by switching from discrete to continuous time dynamics. In continuous time, an operator-algebra semantics is available in which processes proceeding in…

人工智能 · 计算机科学 2012-12-05 Eric Mjolsness

Most machine learning and deep neural network algorithms rely on certain iterative algorithms to optimise their utility/cost functions, e.g. Stochastic Gradient Descent. In distributed learning, the networked nodes have to work…

分布式、并行与集群计算 · 计算机科学 2017-10-06 Liang Wang , Ben Catterall , Richard Mortier

Semantic segmentation networks (SSNs) are central to safety-critical applications such as medical imaging and autonomous driving, where robustness under uncertainty is essential. However, existing probabilistic verification methods often…

计算机视觉与模式识别 · 计算机科学 2025-11-18 Navid Hashemi , Samuel Sasaki , Diego Manzanas Lopez , Lars Lindemann , Ipek Oguz , Meiyi Ma , Taylor T. Johnson

In data-driven SHM, the signals recorded from systems in operation can be noisy and incomplete. Data corresponding to each of the operational, environmental, and damage states are rarely available a priori; furthermore, labelling to…

Self-stabilization is a strong property that guarantees that a network always resume correct behavior starting from an arbitrary initial state. Weaker guarantees have later been introduced to cope with impossibility results: probabilistic…

分布式、并行与集群计算 · 计算机科学 2009-09-29 Stéphane Devismes , Sébastien Tixeuil , Masafumi Yamashita

Bayesian neural network posterior distributions have a great number of modes that correspond to the same network function. The abundance of such modes can make it difficult for approximate inference methods to do their job. Recent work has…

机器学习 · 统计学 2024-07-03 Tommy Rochussen

In this paper, the relationship between probabilistic graphical models, in particular Bayesian networks, and causal diagrams, also called structural causal models, is studied. Structural causal models are deterministic models, based on…

人工智能 · 计算机科学 2026-04-24 Peter J. F. Lucas , Eleonora Zullo , Fabio Stella

Spiking Neural Networks (SNNs) are distributed trainable systems whose computing elements, or neurons, are characterized by internal analog dynamics and by digital and sparse synaptic communications. The sparsity of the synaptic spiking…

信号处理 · 电气工程与系统科学 2019-10-22 Hyeryung Jang , Osvaldo Simeone , Brian Gardner , André Grüning

State-space models (SSMs) are a highly expressive model class for learning patterns in time series data and for system identification. Deterministic versions of SSMs (e.g. LSTMs) proved extremely successful in modeling complex time series…