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The introduction of highly automated vehicles on the public road may improve safety and comfort, although its success will depend on social acceptance. This requires trajectory planning methods that provide safe, proactive, and comfortable…

Optimization and Control · Mathematics 2023-03-09 Chris van der Ploeg , Michiel Braat , Beatrice Masini , Jochem Brouwer , Jan-Pieter Paardekooper

Novel vehicular communication methods are mostly analyzed simulatively or analytically as real world performance tests are highly time-consuming and cost-intense. Moreover, the high number of uncontrollable effects makes it practically…

Networking and Internet Architecture · Computer Science 2019-11-22 Benjamin Sliwa , Christian Wietfeld

In this paper, we consider an importance sampling problem for a certain rare-event simulations involving the behavior of a diffusion process pertaining to a chain of distributed systems with random perturbations. We also assume that the…

Optimization and Control · Mathematics 2020-08-26 Getachew K. Befekadu

We introduce a new method for estimating the mean of an outcome variable within groups when researchers only observe the average of the outcome and group indicators across a set of aggregation units, such as geographical areas. Existing…

Methodology · Statistics 2026-05-01 Cory McCartan , Shiro Kuriwaki

An event-based state estimation approach for reducing communication in a networked control system is proposed. Multiple distributed sensor-actuator-agents observe a dynamic process and sporadically exchange their measurements and inputs…

Systems and Control · Computer Science 2017-01-30 Sebastian Trimpe

We study a class of filters -- discrete finite-state transition systems employed as incremental stream transducers -- that have application to robotics: e.g., to model combinatorial estimators and also as concise encodings of feedback…

Robotics · Computer Science 2022-04-04 Yulin Zhang , Dylan A. Shell

The Transformer-based model have made significant strides in semantic matching tasks by capturing connections between phrase pairs. However, to assess the relevance of sentence pairs, it is insufficient to just examine the general…

Computation and Language · Computer Science 2024-12-11 Bo Li , Di Liang , Zixin Zhang

We propose a class of strongly efficient rare event simulation estimators for random walks and compound Poisson processes with a regularly varying increment/jump-size distribution in a general large deviations regime. Our estimator is based…

Probability · Mathematics 2017-06-14 Bohan Chen , Jose Blanchet , Chang-Han Rhee , Bert Zwart

Graphs are complex objects that do not lend themselves easily to typical learning tasks. Recently, a range of approaches based on graph kernels or graph neural networks have been developed for graph classification and for representation…

Machine Learning · Computer Science 2022-05-19 Chen Cai , Yusu Wang

We present a practical method to generate classical trajectories with fixed initial and final boundary conditions. Our method is based on the minimization of a suitably defined discretized action. The method finds its most natural…

Soft Condensed Matter · Physics 2009-11-07 D. Passerone , M. Parrinello

Deep neural networks, when optimized with sufficient data, provide accurate representations of high-dimensional functions; in contrast, function approximation techniques that have predominated in scientific computing do not scale well with…

Data Analysis, Statistics and Probability · Physics 2021-03-15 Grant M. Rotskoff , Andrew R. Mitchell , Eric Vanden-Eijnden

A general analytical method is developed for describing crossover phenomena of arbitrary nature. The method is based on the algebraic self-similar renormalization of asymptotic series, with control functions defined by crossover conditions.…

Statistical Mechanics · Physics 2009-10-31 S. Gluzman , V. I. Yukalov

We consider the general problem of estimating probabilities which arise as a union of dependent events. We propose a flexible series of estimators for such probabilities, and describe variance reduction schemes applied to the proposed…

Probability · Mathematics 2016-10-10 Lars Nørvang Andersen , Patrick J. Laub , Leonardo Rojas-Nandayapa

Neural Combinatorial Optimization aims to learn to solve a class of combinatorial problems through data-driven methods and notably through employing neural networks by learning the underlying distribution of problem instances. While, so far…

Machine Learning · Computer Science 2025-08-05 Daniela Thyssens , Tim Dernedde , Wilson Sentanoe , Lars Schmidt-Thieme

We propose a novel method for fast and scalable evaluation of periodic solutions of systems of ordinary differential equations for a given set of parameter values and initial conditions. The equations governing the system dynamics are…

Dynamical Systems · Mathematics 2016-05-30 I. Yu. Tyukin , A. N. Gorban , T. A. Tyukina , J. Al Ameri , Yu. A. Korablev

Causal phenomena associated with rare events occur across a wide range of engineering problems, such as risk-sensitive safety analysis, accident analysis and prevention, and extreme value theory. However, current methods for causal…

Machine Learning · Statistics 2023-07-19 Chih-Yuan Chiu , Kshitij Kulkarni , Shankar Sastry

Abstract Meaning Representation parsing is a sentence-to-graph prediction task where target nodes are not explicitly aligned to sentence tokens. However, since graph nodes are semantically based on one or more sentence tokens, implicit…

Computation and Language · Computer Science 2021-05-19 Jiawei Zhou , Tahira Naseem , Ramón Fernandez Astudillo , Radu Florian

Many collective systems exist in nature far from equilibrium, ranging from cellular sheets up to flocks of birds. These systems reflect a form of active matter, whereby individual material components have internal energy. Under specific…

Soft Condensed Matter · Physics 2023-04-17 Namid R. Stillman , Silke Henkes , Roberto Mayor , Gilles Louppe

The standard paradigm of modeling marked point processes is by parameterizing the intensity function using an attention-based (Transformer-style) architecture. Despite the flexibility of these methods, their inference is based on the…

Machine Learning · Statistics 2024-09-30 Aristeidis Panos

We propose and analyze a generalized splitting method to sample approximately from a distribution conditional on the occurrence of a rare event. This has important applications in a variety of contexts in operations research, engineering,…

Methodology · Statistics 2019-09-10 Zdravko I. Botev , Pierre L'Ecuyer