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How can we explain the predictions of a machine learning model? When the data is structured as a multivariate time series, this question induces additional difficulties such as the necessity for the explanation to embody the time dependency…

Machine Learning · Computer Science 2021-06-11 Jonathan Crabbé , Mihaela van der Schaar

With the rapid development of more complex robots, Fault Detection and Diagnosis (FDD) becomes increasingly harder. Especially the need for predetermined models and historic data is problematic because they do not encompass the dynamic and…

Robotics · Computer Science 2025-07-03 Johannes Kohl , Georg Muck , Georg Jäger , Sebastian Zug

Quantifying extra functions, herein referred to as outcome functions, over optimal solutions of an optimization problem can provide decision makers with additional information on a system. This bears more importance when the optimization…

Optimization and Control · Mathematics 2020-12-17 Mohsen Mohammadi , Monica Gentili

Machine learning has now become an integral part of research and innovation. The field of machine learning density functional theory has continuously expanded over the years while making several noticeable advances. We briefly discuss the…

Chemical Physics · Physics 2021-12-13 Bhupalee Kalita , Kieron Burke

The problem of determining the mathematical model of the dynamics of multi-dimensional control systems in the presence of noise under the condition that the correlation functions cannot be found. Known statistical dynamics of linear systems…

General Mathematics · Mathematics 2013-01-29 V. N. Tibabishev

Efficient robot dynamics simulation is a fundamental problem key for robot control, identification, design and analysis. This research statement explores my current progress in this field and future research directions.

Robotics · Computer Science 2024-06-03 Ajay Suresha Sathya

This note provides a simple example demonstrating that, if exact computations are allowed, the number of iterations required for the value iteration algorithm to find an optimal policy for discounted dynamic programming problems may grow…

Artificial Intelligence · Computer Science 2013-12-25 Eugene A. Feinberg , Jefferson Huang

We present a novel approach for learning nonlinear dynamic models, which leads to a new set of tools capable of solving problems that are otherwise difficult. We provide theory showing this new approach is consistent for models with long…

Artificial Intelligence · Computer Science 2009-06-03 John Langford , Ruslan Salakhutdinov , Tong Zhang

This paper presents a new theory, known as robust dynamic pro- gramming, for a class of continuous-time dynamical systems. Different from traditional dynamic programming (DP) methods, this new theory serves as a fundamental tool to analyze…

Optimization and Control · Mathematics 2018-09-18 Tao Bian , Zhong-Ping Jiang

The next generation of mobile networks is set to become increasingly complex, as these struggle to accommodate tremendous data traffic demands generated by ever-more connected devices that have diverse performance requirements in terms of…

Networking and Internet Architecture · Computer Science 2020-11-11 Chaoyun Zhang

Ordinary differential equation models are nowadays widely used for the mechanistic description of biological processes and their temporal evolution. These models typically have many unknown and non-measurable parameters, which have to be…

Quantitative Methods · Quantitative Biology 2021-05-27 Alejandro F. Villaverde , Dilan Pathirana , Fabian Fröhlich , Jan Hasenauer , Julio R. Banga

The recursive model index (RMI) has recently been introduced as a machine-learned replacement for traditional indexes over sorted data, achieving remarkably fast lookups. Follow-up work focused on explaining RMI's performance and…

Databases · Computer Science 2021-11-23 Marcel Maltry , Jens Dittrich

Box folding represents a crucial challenge for automated packaging systems. This work bridges the gap between existing methods for folding sequence extraction and approaches focused on the adaptability of automated systems to specific box…

There is growing interest in termination reasoning for non-linear programs and, meanwhile, recent dynamic strategies have shown they are able to infer invariants for such challenging programs. These advances led us to hypothesize that…

Programming Languages · Computer Science 2020-10-13 Ton Chanh Le , Timos Antonopoulos , Parisa Fathololumi , Eric Koskinen , ThanhVu Nguyen

We study the classic subgraph enumeration problem under distributed settings. Existing solutions either suffer from severe memory crisis or rely on large indexes, which makes them impractical for very large graphs. Most of them follow a…

Databases · Computer Science 2019-01-24 Xuguang Ren , Junhu Wang , Wook-Shin Han , Jeffrey Xu Yu

The problem of planning for a robot that operates in environments containing a large number of objects, taking actions to move itself through the world as well as to change the state of the objects, is known as task and motion planning…

The paper algorithmizes the problem of regime change point identification for data measured in a system exhibiting impulsive behaviors. This is a fundamental challenge for annotation of measurement data relevant, e.g., for designing…

In stochastic systems, numerically sampling the relevant trajectories for the estimation of the large deviation statistics of time-extensive observables requires overcoming their exponential (in space and time) scarcity. The optimal way to…

Statistical Mechanics · Physics 2021-01-14 Tom H. E. Oakes , Adam Moss , Juan P. Garrahan

We give a survey on classical and recent applications of dynamical systems to number theoretic problems. In particular, we focus on normal numbers, also including computational aspects. The main result is a sufficient condition for…

Number Theory · Mathematics 2015-01-30 M. G. Madritsch , R. F. Tichy

This paper considers the problem of designing a dynamical system to solve constrained optimization problems in a distributed way and in an anytime fashion (i.e., such that the feasible set is forward invariant). For problems with separable…

Optimization and Control · Mathematics 2023-09-07 Pol Mestres , Jorge Cortés
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