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Numerical simulation codes are very common tools to study complex phenomena, but they are often time-consuming and considered as black boxes. For some statistical studies (e.g. asset management, sensitivity analysis) or optimization…

Statistics Theory · Mathematics 2017-08-14 Vincent Moutoussamy , Simon Nanty , Benoît Pauwels

An efficient algorithm to simulate dynamics of open quantum system is presented. The method describes the dynamics by unraveling stochastic wave functions converging to a density operator description. The stochastic techniques are based on…

Quantum Physics · Physics 2022-09-21 Ronnie Kosloff Uriel Shafir

Neural networks offer a versatile, flexible and accurate approach to loss reserving. However, such applications have focused primarily on the (important) problem of fitting accurate central estimates of the outstanding claims. In practice,…

Methodology · Statistics 2022-08-09 Muhammed Taher Al-Mudafer , Benjamin Avanzi , Greg Taylor , Bernard Wong

This paper introduces a machine for sampling approximate model-X knockoffs for arbitrary and unspecified data distributions using deep generative models. The main idea is to iteratively refine a knockoff sampling mechanism until a criterion…

Methodology · Statistics 2020-03-03 Yaniv Romano , Matteo Sesia , Emmanuel J. Candès

We demonstrate the application of mixture density networks (MDNs) in the context of automated radiation therapy treatment planning. It is shown that an MDN can produce good predictions of dose distributions as well as reflect uncertain…

Medical Physics · Physics 2021-07-06 Viktor Nilsson , Hanna Gruselius , Tianfang Zhang , Geert De Kerf , Michaël Claessens

We define a message-passing algorithm for computing magnetizations in Restricted Boltzmann machines, which are Ising models on bipartite graphs introduced as neural network models for probability distributions over spin configurations. To…

Machine Learning · Computer Science 2020-12-02 Burak Çakmak , Manfred Opper

Visual sensor networks (VSNs) constitute a fundamental class of distributed sensing systems, with unique complexity and appealing performance features, which correspondingly bring in quite active lines of research. An important research…

Signal Processing · Electrical Eng. & Systems 2022-07-08 Luca Varotto , Marco Fabris , Giulia Michieletto , Angelo Cenedese

Kernel techniques are among the most popular and flexible approaches in data science allowing to represent probability measures without loss of information under mild conditions. The resulting mapping called mean embedding gives rise to a…

Machine Learning · Statistics 2024-11-27 Linda Chamakh , Zoltan Szabo

We present a deep learning model for data-driven simulations of random dynamical systems without a distributional assumption. The deep learning model consists of a recurrent neural network, which aims to learn the time marching structure,…

Machine Learning · Computer Science 2022-04-12 Kyongmin Yeo , Zan Li , Wesley M. Gifford

This paper presents a Distributed Stochastic Model Predictive Control algorithm for networks of linear systems with multiplicative uncertainties and local chance constraints on the states and control inputs. The chance constraints are…

Optimization and Control · Mathematics 2023-03-07 Christoph Mark , Steven Liu

We introduce a novel training principle for probabilistic models that is an alternative to maximum likelihood. The proposed Generative Stochastic Networks (GSN) framework is based on learning the transition operator of a Markov chain whose…

Machine Learning · Computer Science 2015-03-29 Guillaume Alain , Yoshua Bengio , Li Yao , Jason Yosinski , Eric Thibodeau-Laufer , Saizheng Zhang , Pascal Vincent

Generative adversarial networks constitute a powerful approach to generative modeling. While generated samples often are indistinguishable from real data, there is no guarantee that they will follow the true data distribution. For…

Machine Learning · Statistics 2024-09-09 Philipp Pilar , Niklas Wahlström

We consider the problem of efficiently performing simulation and inference for stochastic kinetic models. Whilst it is possible to work directly with the resulting Markov jump process, computational cost can be prohibitive for networks of…

Computation · Statistics 2015-06-18 Chris Sherlock , Andrew Golightly , Colin Gillespie

Click-through rate (CTR) prediction is a critical task in online advertising systems. Models like Deep Neural Networks (DNNs) are simple but stateless. They consider each target ad independently and cannot directly extract useful…

Information Retrieval · Computer Science 2019-07-23 Wentao Ouyang , Xiuwu Zhang , Shukui Ren , Li Li , Zhaojie Liu , Yanlong Du

We present a new subspace-based method to construct probabilistic models for high-dimensional data and highlight its use in anomaly detection. The approach is based on a statistical estimation of probability density using densities of…

Machine Learning · Computer Science 2021-08-16 Cetin Savkli , Catherine Schwartz

This paper proposes a new method of bandwidth selection in kernel estimation of density and distribution functions motivated by the connection between maximisation of the entropy of probability integral transforms and maximum likelihood in…

Methodology · Statistics 2016-07-14 Vitaliy Oryshchenko

Mixture Density Networks are a tried and tested tool for modelling conditional probability distributions. As such, they constitute a great baseline for novel approaches to this problem. In the standard formulation, an MDN takes some input…

Machine Learning · Computer Science 2020-03-13 Jakob Kruse

It is well-known that deep neural networks (DNNs) have shown remarkable success in many fields. However, when adding an imperceptible magnitude perturbation on the model input, the model performance might get rapid decrease. To address this…

Machine Learning · Computer Science 2022-01-04 Hao Yang , Min Wang , Zhengfei Yu , Yun Zhou

This paper presents a robust version of the stratified sampling method when multiple uncertain input models are considered for stochastic simulation. Various variance reduction techniques have demonstrated their superior performance in…

Optimization and Control · Mathematics 2023-06-16 Seung Min Baik , Eunshin Byon , Young Myoung Ko

Molecular dynamics (MD) simulations are a central tool in science and engineering enabling the study of dynamical behavior and the link between microscopic structure and macroscopic function. Their high computational cost, however, has…

Chemical Physics · Physics 2026-01-22 Salman N. Salman , Sergey A. Shteingolts , Ron Levie , Dan Mendels