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One of the fundamental problems in machine learning is the estimation of a probability distribution from data. Many techniques have been proposed to study the structure of data, most often building around the assumption that observations…

Machine Learning · Statistics 2013-02-22 Oren Rippel , Ryan Prescott Adams

Recently, deep-learning weather forecasting models have surpassed traditional numerical models in terms of the accuracy of meteorological variables. However, there is considerable potential for improvements in precipitation forecasts,…

Atmospheric and Oceanic Physics · Physics 2024-11-20 Weiwen Ji , Jin Feng , Yueqi Liu , Yulu Qiu , Hua Gao

We present a case study applying learning-based distributionally robust model predictive control to highway motion planning under stochastic uncertainty of the lane change behavior of surrounding road users. The dynamics of road users are…

Systems and Control · Electrical Eng. & Systems 2022-11-08 Mathijs Schuurmans , Alexander Katriniok , Christopher Meissen , H. Eric Tseng , Panagiotis Patrinos

The simulation of stochastic reaction-diffusion systems using fine-grained representations can become computationally prohibitive when particle numbers become large. If particle numbers are sufficiently high then it may be possible to…

Quantitative Methods · Quantitative Biology 2020-10-02 Christian A. Yates , Adam George , Armand Jordana , Cameron A. Smith , Andrew B. Duncan , Konstantinos C. Zygalakis

Constructing and maintaining a consistent scene model on-the-fly is the core task for online spatial perception, interpretation, and action. In this paper, we represent the scene with a Bayesian nonparametric mixture model, seamlessly…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Zike Yan , Xin Wang , Hongbin Zha

Deep neural networks has been increasingly applied in fault diagnostics, where it uses historical data to capture systems behavior, bypassing the need for high-fidelity physical models. However, despite their competence in prediction tasks,…

Machine Learning · Computer Science 2025-09-24 Arman Mohammadi , Mattias Krysander , Daniel Jung , Erik Frisk

The conditional diffusion model has been demonstrated as an efficient tool for learning robot policies, owing to its advancement to accurately model the conditional distribution of policies. The intricate nature of real-world scenarios,…

Robotics · Computer Science 2024-07-03 Wenhao Yu , Jie Peng , Huanyu Yang , Junrui Zhang , Yifan Duan , Jianmin Ji , Yanyong Zhang

Density of the reachable states can help understand the risk of safety-critical systems, especially in situations when worst-case reachability is too conservative. Recent work provides a data-driven approach to compute the density…

Robotics · Computer Science 2022-09-19 Yue Meng , Zeng Qiu , Md Tawhid Bin Waez , Chuchu Fan

Climate change is intensifying rainfall extremes, making high-resolution precipitation projections crucial for society to better prepare for impacts such as flooding. However, current Global Climate Models (GCMs) operate at spatial…

Machine Learning · Computer Science 2024-12-20 Ran Lyu , Linhan Wang , Yanshen Sun , Hedanqiu Bai , Chang-Tien Lu

We develop, discuss, and compare several inference techniques to constrain theory parameters in collider experiments. By harnessing the latent-space structure of particle physics processes, we extract extra information from the simulator.…

High Energy Physics - Phenomenology · Physics 2018-09-19 Johann Brehmer , Kyle Cranmer , Gilles Louppe , Juan Pavez

A model that predicts the outcome of collisions between droplets and particles in terms of the distribution of the droplet volume post-collision is lacking, in contrast to the case for droplet-droplet interactions. Taking existing models…

Chemical Physics · Physics 2022-09-20 Andrew N. Round

Recently, machine learning (ML) techniques have led to a range of numerous developments in the field of nuclear and high-energy physics. In heavy-ion collisions, the impact parameter of a collision is one of the crucial observables which…

High Energy Physics - Phenomenology · Physics 2021-06-02 Neelkamal Mallick , Sushanta Tripathy , Aditya Nath Mishra , Suman Deb , Raghunath Sahoo

Modern machine learning methods including deep learning have achieved great success in predictive accuracy for supervised learning tasks, but may still fall short in giving useful estimates of their predictive {\em uncertainty}. Quantifying…

We propose the Binary Diffusion Probabilistic Model (BDPM), a generative framework specifically designed for data representations in binary form. Conventional denoising diffusion probabilistic models (DDPMs) assume continuous inputs, use…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Vitaliy Kinakh , Slava Voloshynovskiy

Recently, fitting probabilistic models have gained importance in many areas but estimation of such distributional models with very large data sets is a difficult task. In particular, the use of rather complex models can easily lead to…

Doubly-intractable posterior distributions arise in many applications of statistics concerned with discrete and dependent data, including physics, spatial statistics, machine learning, the social sciences, and other fields. A specific…

Computation · Statistics 2021-05-20 Jaewoo Park , Ick Hoon Jin , Michael Schweinberger

Real-time safety systems are crucial components of intelligent vehicles. This paper introduces a prediction-based collision risk assessment approach on highways. Given a point mass vehicle dynamics system, a stochastic forward reachable set…

Systems and Control · Electrical Eng. & Systems 2022-05-04 Xinwei Wang , Zirui Li , Javier Alonso-Mora , Meng Wang

Modeling complex conditional distributions is critical in a variety of settings. Despite a long tradition of research into conditional density estimation, current methods employ either simple parametric forms or are difficult to learn in…

Machine Learning · Statistics 2018-02-15 Brian L Trippe , Richard E Turner

The demixing of a binary fluid mixture, under gravity, is a two stage process. Initially droplets, or in general aggregates, grow diffusively by collecting supersaturation from the bulk phase. Subsequently, when the droplets have grown to a…

Statistical Mechanics · Physics 2014-12-01 Martin Rohloff , Tobias Lapp , Jürgen Vollmer

Modeling perception sensors is key for simulation based testing of automated driving functions. Beyond weather conditions themselves, sensors are also subjected to object dependent environmental influences like tire spray caused by vehicles…