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Identifying and characterizing mutational paths is an important issue in evolutionary biology and in bioengineering. We here introduce a generic description of mutational paths in terms of the goodness of sequences and of the mutational…

Biomolecules · Quantitative Biology 2023-03-29 Eugenio Mauri , Simona Cocco , Rémi Monasson

Large deviation results are given for a class of perturbed nonhomogeneous Markov chains on finite state space which formally includes some stochastic optimization algorithms. Specifically, let {P_n} be a sequence of transition matrices on a…

Probability · Mathematics 2007-05-23 Zach Dietz , Sunder Sethuraman

Neural sequence-to-sequence models are well established for applications which can be cast as mapping a single input sequence into a single output sequence. In this work, we focus on one-to-many sequence transduction problems, such as…

Audio and Speech Processing · Electrical Eng. & Systems 2020-06-26 Jing Shi , Xuankai Chang , Pengcheng Guo , Shinji Watanabe , Yusuke Fujita , Jiaming Xu , Bo Xu , Lei Xie

Source traffic prediction is one of the main challenges of enabling predictive resource allocation in machine type communications (MTC). In this paper, a Long Short-Term Memory (LSTM) based deep learning approach is proposed for…

We propose a solution of the multiple target tracking (MTT) problem based on sets of trajectories and the random finite set framework. A full Bayesian approach to MTT should characterise the distribution of the trajectories given the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Ángel F. García-Fernández , Lennart Svensson , Mark R. Morelande

Latent Class Models (LCMs) are used to cluster multivariate categorical data (e.g. group participants based on survey responses). Traditional LCMs assume a property called conditional independence. This assumption can be restrictive,…

Machine Learning · Statistics 2024-06-19 Jesse Bowers , Steve Culpepper

Urban trajectories play a crucial role in modeling urban dynamics and supporting various smart city applications. However, privacy concerns restrict access to large-scale and high-quality trajectory datasets. Trajectory generation provides…

Artificial Intelligence · Computer Science 2026-05-29 Silin Zhou , Chenhao Wang , Yuntao Wen , Shuo Shang , Lisi Chen , Panos Kalnis

We present an efficient approach, based on a number-conditioned master equation, for large-deviation analysis in mesoscopic transports. Beyond the conventional full-counting-statistics study, the large-deviation approach encodes complete…

Mesoscale and Nanoscale Physics · Physics 2011-09-30 Jun Li , Yu Liu , Jing Ping , Shu-Shen Li , Xin-Qi Li , YiJing Yan

Predicting trajectories of pedestrians is quintessential for autonomous robots which share the same environment with humans. In order to effectively and safely interact with humans, trajectory prediction needs to be both precise and…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Nishant Nikhil , Brendan Tran Morris

Markov population models (MPMs) are a widely used modelling formalism in the area of computational biology and related areas. The semantics of a MPM is an infinite-state continuous-time Markov chain. In this paper, we use the established…

Numerical Analysis · Computer Science 2014-06-10 David Spieler , Ernst Moritz Hahn , Lijun Zhang

LLM-driven program evolution has emerged as a powerful tool for automated scientific discovery, yet existing frameworks offer no principled guide for designing their individual components and provide no guarantee that the search converges.…

Artificial Intelligence · Computer Science 2026-05-18 Jiachen Jiang , Huminhao Zhu , Zhihui Zhu

Continued great efforts have been dedicated towards high-quality trajectory generation based on optimization methods, however, most of them do not suitably and effectively consider the situation with moving obstacles; and more particularly,…

Systems and Control · Electrical Eng. & Systems 2020-08-05 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Sunan Huang , Shuzhi Sam Ge , Tong Heng Lee

User mobility prediction is widely considered to be helpful for various sorts of location based services on mobile devices. A large amount of studies have explored different algorithms to predict where a user will visit in the future based…

Social and Information Networks · Computer Science 2019-01-30 Huoran Li

Accurately tracking and predicting behaviors of surrounding objects are key prerequisites for intelligent systems such as autonomous vehicles to achieve safe and high-quality decision making and motion planning. However, there still remain…

Robotics · Computer Science 2020-03-31 Jiachen Li , Wei Zhan , Yeping Hu , Masayoshi Tomizuka

Machine learning has demonstrated remarkable promise for solving the trajectory generation problem and in paving the way for online use of trajectory optimization for resource-constrained spacecraft. However, a key shortcoming in current…

Robotics · Computer Science 2025-01-03 Julia Briden , Breanna Johnson , Richard Linares , Abhishek Cauligi

Trajectory prediction is critical for autonomous driving vehicles. Most existing methods tend to model the correlation between history trajectory (input) and future trajectory (output). Since correlation is just a superficial description of…

Machine Learning · Computer Science 2023-07-13 Shengyi Li , Qifan Xue , Yezhuo Zhang , Xuanpeng Li

The problem at the heart of this tutorial consists in modeling the path choice behavior of network users. This problem has been extensively studied in transportation science, where it is known as the route choice problem. In this…

Machine Learning · Statistics 2022-06-10 Maëlle Zimmermann , Emma Frejinger

Trajectory prediction is an important task, especially in autonomous driving. The ability to forecast the position of other moving agents can yield to an effective planning, ensuring safety for the autonomous vehicle as well for the…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Lorenzo Berlincioni , Federico Becattini , Lorenzo Seidenari , Alberto Del Bimbo

Mining movement data to reveal interesting behavioral patterns has gained attention in recent years. One such pattern is the convoy pattern which consists of at least m objects moving together for at least k consecutive time instants where…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-29 Faisal Orakzai , Thomas Devogele , Toon Calders

We investigate recurrence and transience of Branching Markov Chains (BMC) in discrete time. Branching Markov Chains are clouds of particles which move (according to an irreducible underlying Markov Chain) and produce offspring…

Probability · Mathematics 2016-09-07 Nina Gantert , Sebastian Mueller