Linear Gaussian

Linear Gaussian models are statistical frameworks that use linear relationships and Gaussian probability distributions to represent and analyze data, primarily focusing on optimizing decision-making under uncertainty or efficiently representing complex systems. Current research emphasizes applications in areas like control theory (e.g., Linear Quadratic Gaussian control with improved exploration strategies), dynamic scene reconstruction (using Gaussian splatting and related techniques), and signal processing (e.g., modeling acoustic signals with multimodal Gaussian distributions). These advancements improve the efficiency and robustness of algorithms for various applications, ranging from robotics and autonomous systems to image processing and audio analysis.

Papers

May 15, 2024

Restless Bandit Problem with Rewards Generated by a Linear Gaussian Dynamical System
Jonathan Gornet, Bruno Sinopoli
Multi Armed Bandit Reward Report Reward Prediction Cumulative Reward Linear Gaussian

March 19, 2024

GaussianFlow: Splatting Gaussian Dynamics for 4D Content Creation
Quankai Gao, Qiangeng Xu, Zhe Cao, Ben Mildenhall, Wenchao Ma, Le Chen, Danhang Tang, Ulrich Neumann
Gaussian Splatting Optical Flow 4 Dimensional Content Linear Gaussian Gaussian Flow 4 Dimensional Novel View Synthesis

November 30, 2023

Periodic Vibration Gaussian: Dynamic Urban Scene Reconstruction and Real-time Rendering
Yurui Chen, Chun Gu, Junzhe Jiang, Xiatian Zhu, Li Zhang
Real Time 3D Gaussian Neural Scene Representation Large Scale Urban Scene Dynamic Urban Urban Scene Reconstruction Scene Mapping Linear Gaussian

November 5, 2023

Regret Analysis of Learning-Based Linear Quadratic Gaussian Control with Additive Exploration
Archith Athrey, Othmane Mazhar, Meichen Guo, Bart De Schutter, Shengling Shi
Learning Based Regret Analysis Exploration Policy Binary Forward Exploration Linear Gaussian Gaussian Input

September 25, 2022

Multimodal Exponentially Modified Gaussian Oscillators
Christopher Hahne
Multimodal Phenomenon Acoustic Modeling Envelope Tracking Linear Gaussian Synthetic Ultrasound

September 15, 2022

Efficient learning of nonlinear prediction models with time-series privileged information
Bastian Jung, Fredrik D Johansson
Efficient Learning Latent Dynamic Unbiased Learning Privileged Information Nonlinear Prediction Linear Gaussian

April 27, 2022

Variational Kalman Filtering with Hinf-Based Correction for Robust Bayesian Learning in High Dimensions
Niladri Das, Jed A. Duersch, Thomas A. Catanach
Variational Inference High Dimension Variational Objective Robust Bayesian Linear Gaussian

February 8, 2022

The Rate-Distortion-Perception Tradeoff: The Role of Common Randomness
Aaron B. Wagner
Integral Role Rate Distortion Perception Linear Gaussian

January 5, 2022

Regret Lower Bounds for Learning Linear Quadratic Gaussian Systems
Ingvar Ziemann, Henrik Sandberg
Regret Bound Continuous Control Estimation Method Control Theoretic Linear Gaussian

Linear Gaussian

Papers

Restless Bandit Problem with Rewards Generated by a Linear Gaussian Dynamical System

GaussianFlow: Splatting Gaussian Dynamics for 4D Content Creation

Periodic Vibration Gaussian: Dynamic Urban Scene Reconstruction and Real-time Rendering

Regret Analysis of Learning-Based Linear Quadratic Gaussian Control with Additive Exploration

Multimodal Exponentially Modified Gaussian Oscillators

Efficient learning of nonlinear prediction models with time-series privileged information

Variational Kalman Filtering with Hinf-Based Correction for Robust Bayesian Learning in High Dimensions

The Rate-Distortion-Perception Tradeoff: The Role of Common Randomness

Regret Lower Bounds for Learning Linear Quadratic Gaussian Systems