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Recurrent neural networks (RNNs) are known to be universal approximators of dynamic systems under fairly mild and general assumptions. However, RNNs usually suffer from the issues of vanishing and exploding gradients in standard RNN…

信号处理 · 电气工程与系统科学 2024-10-28 Shashank Jere , Lizhong Zheng , Karim Said , Lingjia Liu

Recursive Neural Networks (RvNNs), which compose sequences according to their underlying hierarchical syntactic structure, have performed well in several natural language processing tasks compared to similar models without structural…

计算与语言 · 计算机科学 2021-06-14 Jishnu Ray Chowdhury , Cornelia Caragea

This paper introduces Logical Credal Networks, an expressive probabilistic logic that generalizes many prior models that combine logic and probability. Given imprecise information represented by probability bounds and conditional…

Recurrent neural networks (RNNs) are widely used in computational neuroscience and machine learning applications. In an RNN, each neuron computes its output as a nonlinear function of its integrated input. While the importance of RNNs,…

神经元与认知 · 定量生物学 2012-07-10 Sebastian Bitzer , Stefan J. Kiebel

Amidst rising appreciation for privacy and data usage rights, researchers have increasingly acknowledged the principle of data minimization, which holds that the accessibility, collection, and retention of subjects' data should be kept to…

密码学与安全 · 计算机科学 2021-10-22 Winston Chou

There is increasing interest within the research community in the design and use of recursive probability models. Although there still remains concern about computational complexity costs and the fact that computing exact solutions can be…

人工智能 · 计算机科学 2013-01-14 Daniel Pless , George Luger

Research aimed at scaling up neuroscience inspired learning algorithms for neural networks is accelerating. Recently, a key research area has been the study of energy-based learning algorithms such as predictive coding, due to their…

机器学习 · 计算机科学 2026-01-30 Luca Pinchetti , Simon Frieder , Thomas Lukasiewicz , Tommaso Salvatori

Probabilistic context-free grammars (PCFGs) and dynamic Bayesian networks (DBNs) are widely used sequence models with complementary strengths and limitations. While PCFGs allow for nested hierarchical dependencies (tree structures), their…

机器学习 · 计算机科学 2022-01-19 Robert Lieck , Martin Rohrmeier

The sequential interaction network usually find itself in a variety of applications, e.g., recommender system. Herein, inferring future interaction is of fundamental importance, and previous efforts are mainly focused on the dynamics in the…

机器学习 · 计算机科学 2024-01-03 Li Sun , Junda Ye , Jiawei Zhang , Yong Yang , Mingsheng Liu , Feiyang Wang , Philip S. Yu

In the recent publication (arxiv:2007.08063v2 [cs.LG]) a fast prediction algorithm for a single recurrent network (RN) was suggested. In this manuscript we generalize this approach to a chain of RNs and show that it can be implemented in…

动力系统 · 数学 2020-10-06 Boris Rubinstein

We develop a general theory to optimize the frequentist regret for sequential learning problems, where efficient bandit and reinforcement learning algorithms can be derived from unified Bayesian principles. We propose a novel optimization…

机器学习 · 计算机科学 2024-02-12 Yunbei Xu , Assaf Zeevi

Neural network controllers increasingly demand millions of parameters, and language model approaches push into the billions. For embedded aerospace systems with strict power and latency constraints, this scaling is prohibitive. We present…

机器学习 · 计算机科学 2025-12-19 Amit Jain , Richard Linares

Bayesian networks are basic graphical models, used widely both in statistics and artificial intelligence. These statistical models of conditional independence structure are described by acyclic directed graphs whose nodes correspond to…

最优化与控制 · 数学 2010-12-01 Raymond Hemmecke , Silvia Lindner , Milan Studený

Bayesian inference promises to ground and improve the performance of deep neural networks. It promises to be robust to overfitting, to simplify the training procedure and the space of hyperparameters, and to provide a calibrated measure of…

机器学习 · 计算机科学 2019-08-12 Jonathan Heek , Nal Kalchbrenner

Machine learning has become a fundamental approach for modeling, prediction, and control, enabling systems to learn from data and perform complex tasks. Reservoir computing is a machine learning tool that leverages high-dimensional…

系统与控制 · 电气工程与系统科学 2026-05-12 Sahand Tangerami , Nicholas A. Mecholsky , Francesco Sorrentino

There is currently a renewed interest in the Bayesian predictive approach to statistics. This paper offers a review on foundational concepts and focuses on predictive modeling, which by directly reasoning on prediction, bypasses inferential…

统计理论 · 数学 2024-11-22 Sandra Fortini , Sonia Petrone

Understanding the uncertainty of a neural network's (NN) predictions is essential for many purposes. The Bayesian framework provides a principled approach to this, however applying it to NNs is challenging due to large numbers of parameters…

机器学习 · 统计学 2020-02-27 Tim Pearce , Felix Leibfried , Alexandra Brintrup , Mohamed Zaki , Andy Neely

For learned image compression, the autoregressive context model is proved effective in improving the rate-distortion (RD) performance. Because it helps remove spatial redundancies among latent representations. However, the decoding process…

图像与视频处理 · 电气工程与系统科学 2021-04-02 Dailan He , Yaoyan Zheng , Baocheng Sun , Yan Wang , Hongwei Qin

An important subclass of hybrid Bayesian networks are those that represent Conditional Linear Gaussian (CLG) distributions --- a distribution with a multivariate Gaussian component for each instantiation of the discrete variables. In this…

人工智能 · 计算机科学 2013-01-14 Uri Lerner , Ron Parr

We target the problem of accuracy and robustness in causal inference from finite data sets. Some state-of-the-art algorithms produce clear output complete with solid theoretical guarantees but are susceptible to propagating erroneous…

人工智能 · 计算机科学 2012-10-19 Tom Claassen , Tom Heskes