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This work proposes a Stochastic Variational Deep Kernel Learning method for the data-driven discovery of low-dimensional dynamical models from high-dimensional noisy data. The framework is composed of an encoder that compresses…

Machine Learning · Computer Science 2023-06-28 Nicolò Botteghi , Mengwu Guo , Christoph Brune

Latent linear dynamical systems with Bernoulli observations provide a powerful modeling framework for identifying the temporal dynamics underlying binary time series data, which arise in a variety of contexts such as binary decision-making…

Machine Learning · Statistics 2023-07-28 Iris R. Stone , Yotam Sagiv , Il Memming Park , Jonathan W. Pillow

Spiking neural networks (SNNs) provide an energy-efficient solution by utilizing the spike-based and sparse nature of biological systems. Since the advent of Transformers, SNNs have struggled to compete with artificial networks on long…

Neural and Evolutionary Computing · Computer Science 2024-10-24 Yan Zhong , Ruoyu Zhao , Chao Wang , Qinghai Guo , Jianguo Zhang , Zhichao Lu , Luziwei Leng

Although static networks have been extensively studied in machine learning, data mining, and AI communities for many decades, the study of dynamic networks has recently taken center stage due to the prominence of social media and its…

Social and Information Networks · Computer Science 2020-12-21 Tony Gracious , Shubham Gupta , Arun Kanthali , Rui M. Castro , Ambedkar Dukkipati

Deep dynamic generative models are developed to learn sequential dependencies in time-series data. The multi-layered model is designed by constructing a hierarchy of temporal sigmoid belief networks (TSBNs), defined as a sequential stack of…

Machine Learning · Statistics 2015-09-24 Zhe Gan , Chunyuan Li , Ricardo Henao , David Carlson , Lawrence Carin

State Space Models (SSMs) have recently emerged as efficient alternatives to Transformer-Based Models (TBMs) for long-sequence processing with linear scaling, yet how contextual information flows across layers in these architectures remains…

Computation and Language · Computer Science 2026-01-08 Nhat M. Hoang , Do Xuan Long , Cong-Duy Nguyen , Min-Yen Kan , Luu Anh Tuan

We introduce Neural Dynamical Systems (NDS), a method of learning dynamical models in various gray-box settings which incorporates prior knowledge in the form of systems of ordinary differential equations. NDS uses neural networks to…

A state-space model is a statistical framework for inferring latent states from observed time-series data. However, inference with nonlinear and high-dimensional state-space models remains challenging. To this end, an approach based on…

Computational Engineering, Finance, and Science · Computer Science 2026-04-02 Yuma Yamaoka , Seiichi Uchida , Shoji Toyota

We introduce a dynamical spatio-temporal model formalized as a recurrent neural network for forecasting time series of spatial processes, i.e. series of observations sharing temporal and spatial dependencies. The model learns these…

Machine Learning · Computer Science 2018-04-24 Ali Ziat , Edouard Delasalles , Ludovic Denoyer , Patrick Gallinari

Spiking Neural Networks (SNNs) offer biologically inspired, energy-efficient alternatives to traditional Deep Neural Networks (DNNs) for real-time control systems. However, their training presents several challenges, particularly for…

Artificial Intelligence · Computer Science 2025-07-15 Ali Safa , Farida Mohsen , Ali Al-Zawqari

We propose a deep generative Markov State Model (DeepGenMSM) learning framework for inference of metastable dynamical systems and prediction of trajectories. After unsupervised training on time series data, the model contains (i) a…

Machine Learning · Statistics 2019-01-14 Hao Wu , Andreas Mardt , Luca Pasquali , Frank Noe

A central goal of sequence modeling is designing a single principled model that can address sequence data across a range of modalities and tasks, particularly on long-range dependencies. Although conventional models including RNNs, CNNs,…

Machine Learning · Computer Science 2022-08-08 Albert Gu , Karan Goel , Christopher Ré

Recently several deep learning based models have been proposed for end-to-end learning of dialogs. While these models can be trained from data without the need for any additional annotations, it is hard to interpret them. On the other hand,…

Artificial Intelligence · Computer Science 2018-11-05 Dhiraj Madan , Dinesh Raghu , Gaurav Pandey , Sachindra Joshi

Capturing the structure of a data-generating process by means of appropriate inductive biases can help in learning models that generalize well and are robust to changes in the input distribution. While methods that harness spatial and…

Deep models have achieved impressive progress in solving partial differential equations (PDEs). A burgeoning paradigm is learning neural operators to approximate the input-output mappings of PDEs. While previous deep models have explored…

Machine Learning · Computer Science 2023-05-30 Haixu Wu , Tengge Hu , Huakun Luo , Jianmin Wang , Mingsheng Long

We introduce Delayed Streams Modeling (DSM), a flexible formulation for streaming, multimodal sequence-to-sequence learning. Sequence-to-sequence generation is often cast in an offline manner, where the model consumes the complete input…

In this work, we introduce S4M, a new efficient speech separation framework based on neural state-space models (SSM). Motivated by linear time-invariant systems for sequence modeling, our SSM-based approach can efficiently model input…

Sound · Computer Science 2023-05-29 Chen Chen , Chao-Han Huck Yang , Kai Li , Yuchen Hu , Pin-Jui Ku , Eng Siong Chng

The computational properties of neural systems are often thought to be implemented in terms of their network dynamics. Hence, recovering the system dynamics from experimentally observed neuronal time series, like multiple single-unit (MSU)…

Neurons and Cognition · Quantitative Biology 2017-07-05 Daniel Durstewitz

Large neural networks are typically trained for a fixed computational budget, creating a rigid trade-off between performance and efficiency that is ill-suited for deployment in resource-constrained or dynamic environments. Existing…

Machine Learning · Computer Science 2026-03-05 Paulius Rauba , Mihaela van der Schaar

In this paper, we address the issue of modeling and estimating changes in the state of the spatio-temporal dynamical systems based on a sequence of observations like video frames. Traditional numerical simulation systems depend largely on…

Machine Learning · Computer Science 2024-02-12 Kun Wang , Hao Wu , Guibin Zhang , Junfeng Fang , Yuxuan Liang , Yuankai Wu , Roger Zimmermann , Yang Wang