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The skip-connections used in residual networks have become a standard architecture choice in deep learning due to the increased training stability and generalization performance with this architecture, although there has been limited…

机器学习 · 计算机科学 2019-10-08 Spencer Frei , Yuan Cao , Quanquan Gu

The functions of proteins and RNAs are determined by a myriad of interactions between their constituent residues, but most quantitative models of how molecular phenotype depends on genotype must approximate this by simple additive effects.…

定量方法 · 定量生物学 2017-12-19 Adam J. Riesselman , John B. Ingraham , Debora S. Marks

In this paper we propose a novel neural network model for learning stochastic Hamiltonian systems (SHSs) from observational data, termed the stochastic generating function neural network (SGFNN). SGFNN preserves symplectic structure of the…

动力系统 · 数学 2025-07-22 Chen Chen , Lijin Wang , Yanzhao Cao , Xupeng Cheng

Decentralized stochastic gradient method emerges as a promising solution for solving large-scale machine learning problems. This paper studies the decentralized Markov chain gradient descent (DMGD) algorithm - a variant of the decentralized…

最优化与控制 · 数学 2021-04-14 Tao Sun , Dongsheng Li

Chaotic dynamical systems exhibit strong sensitivity to initial conditions and often contain unresolved multiscale processes, making deterministic forecasting fundamentally limited. Generative models offer an appealing alternative by…

机器学习 · 计算机科学 2026-01-01 Patrick Wyrod , Ashesh Chattopadhyay , Daniele Venturi

The popularity of deep learning techniques renewed the interest in neural architectures able to process complex structures that can be represented using graphs, inspired by Graph Neural Networks (GNNs). We focus our attention on the…

机器学习 · 计算机科学 2021-09-02 Matteo Tiezzi , Giuseppe Marra , Stefano Melacci , Marco Maggini

The Gibbs sampler (GS) is a crucial algorithm for approximating complex calculations, and it is justified by Markov chain theory, the alternating projection theorem, and $I$-projection, separately. We explore the equivalence between these…

统计计算 · 统计学 2024-10-15 Kun-Lin Kuo , Yuchung J. Wang

Gaussian Process (GPs) models are a rich distribution over functions with inductive biases controlled by a kernel function. Learning occurs through the optimisation of kernel hyperparameters using the marginal likelihood as the objective.…

机器学习 · 统计学 2021-11-22 Fergus Simpson , Vidhi Lalchand , Carl Edward Rasmussen

Modern deep neural networks are well known to be brittle in the face of unknown data instances and recognition of the latter remains a challenge. Although it is inevitable for continual-learning systems to encounter such unseen concepts,…

机器学习 · 计算机科学 2022-04-04 Martin Mundt , Iuliia Pliushch , Sagnik Majumder , Yongwon Hong , Visvanathan Ramesh

Learning dynamical models from data is not only fundamental but also holds great promise for advancing principle discovery, time-series prediction, and controller design. Among various approaches, Gaussian Process State-Space Models…

机器学习 · 计算机科学 2025-10-20 Tengjie Zheng , Haipeng Chen , Lin Cheng , Shengping Gong , Xu Huang

It is well established that neural networks with deep architectures perform better than shallow networks for many tasks in machine learning. In statistical physics, while there has been recent interest in representing physical data with…

无序系统与神经网络 · 物理学 2019-03-06 Alan Morningstar , Roger G. Melko

Standard neural networks are often overconfident when presented with data outside the training distribution. We introduce HyperGAN, a new generative model for learning a distribution of neural network parameters. HyperGAN does not require…

机器学习 · 计算机科学 2020-07-16 Neale Ratzlaff , Li Fuxin

Time series forecasting based on deep architectures has been gaining popularity in recent years due to their ability to model complex non-linear temporal dynamics. The recurrent neural network is one such model capable of handling…

机器学习 · 计算机科学 2021-06-28 Zexuan Yin , Paolo Barucca

In this work, we investigate a novel training procedure to learn a generative model as the transition operator of a Markov chain, such that, when applied repeatedly on an unstructured random noise sample, it will denoise it into a sample…

机器学习 · 统计学 2017-03-22 Florian Bordes , Sina Honari , Pascal Vincent

We propose a deep generative approach to sampling from a conditional distribution based on a unified formulation of conditional distribution and generalized nonparametric regression function using the noise-outsourcing lemma. The proposed…

统计理论 · 数学 2021-10-22 Xingyu Zhou , Yuling Jiao , Jin Liu , Jian Huang

Devising and analyzing learning models for spatiotemporal network data is of importance for tasks including forecasting, anomaly detection, and multi-agent coordination, among others. Graph Convolutional Neural Networks (GCNNs) are an…

机器学习 · 计算机科学 2022-07-01 Mohammad Sabbaqi , Elvin Isufi

It has been believed that stochastic feedforward neural networks (SFNNs) have several advantages beyond deterministic deep neural networks (DNNs): they have more expressive power allowing multi-modal mappings and regularize better due to…

机器学习 · 计算机科学 2017-04-12 Kimin Lee , Jaehyung Kim , Song Chong , Jinwoo Shin

Recursive Neural Networks are non-linear adaptive models that are able to learn deep structured information. However, these models have not yet been broadly accepted. This fact is mainly due to its inherent complexity. In particular, not…

神经与进化计算 · 计算机科学 2009-11-18 Alejandro Chinea

Graph Neural Networks (GNNs) are a new and increasingly popular family of deep neural network architectures to perform learning on graphs. Training them efficiently is challenging due to the irregular nature of graph data. The problem…

机器学习 · 计算机科学 2021-06-15 Marco Serafini , Hui Guan

We introduce conditional push-forward neural networks (CPFN), a generative framework for conditional distribution estimation. Instead of directly modeling the conditional density $f_{Y|X}$, CPFN learns a stochastic map…

机器学习 · 计算机科学 2025-12-23 Nicola Rares Franco , Lorenzo Tedesco