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We address tracking and prediction of multiple moving objects in visual data streams as inference and sampling in a disentangled latent state-space model. By encoding objects separately and including explicit position information in the…

Machine Learning · Statistics 2019-10-15 Adnan Akhundov , Maximilian Soelch , Justin Bayer , Patrick van der Smagt

Simultaneous load forecasting across multiple entities (e.g., regions, buildings) is crucial for the efficient, reliable, and cost-effective operation of power systems. Accurate load forecasting is a challenging problem due to the inherent…

Machine Learning · Computer Science 2026-01-21 Onintze Zaballa , Verónica Álvarez , Santiago Mazuelas

Forecasting tasks using large datasets gathering thousands of heterogeneous time series is a crucial statistical problem in numerous sectors. The main challenge is to model a rich variety of time series, leverage any available external…

Machine Learning · Computer Science 2024-04-18 Etienne David , Jean Bellot , Sylvain Le Corff

Multivariate time series forecasting is a crucial task that predicts the future states based on historical inputs. Related techniques have been developing in parallel with the machine learning community, from early statistical learning…

Machine Learning · Computer Science 2025-02-12 Xiao Han , Xinfeng Zhang , Yiling Wu , Zhenduo Zhang , Zhe Wu

Mathematical modelling has a long history in the context of collective cell migration, with applications throughout development, disease and regenerative medicine. The aim of modelling in this context is to provide a framework in which to…

Quantitative Methods · Quantitative Biology 2025-06-24 Ruth E. Baker , Rebecca M. Crossley , Carles Falco , Simon F. Martina-Perez

In planning problems, it is often challenging to fully model the desired specifications. In particular, in human-robot interaction, such difficulty may arise due to human's preferences that are either private or complex to model.…

Robotics · Computer Science 2021-01-01 Mahsa Ghasemi , Evan Scope Crafts , Bo Zhao , Ufuk Topcu

Memory effects in the dynamics of open systems have been the subject of significant interest in the last decades. The methods involved in quantifying this effect, however, are often difficult to compute and may lack analytical insight. With…

Quantum Physics · Physics 2021-02-10 Rolando Ramirez Camasca , Gabriel T. Landi

Markov Chain Monte Carlo based Bayesian data analysis has now become the method of choice for analyzing and interpreting data in almost all disciplines of science. In astronomy, over the last decade, we have also seen a steady increase in…

Instrumentation and Methods for Astrophysics · Physics 2017-08-30 Sanjib Sharma

Automating statistical modelling is a challenging problem in artificial intelligence. The Automatic Statistician takes a first step in this direction, by employing a kernel search algorithm with Gaussian Processes (GP) to provide…

Machine Learning · Statistics 2018-02-15 Hyunjik Kim , Yee Whye Teh

Kernel analog forecasting (KAF) is a powerful methodology for data-driven, non-parametric forecasting of dynamically generated time series data. This approach has a rigorous foundation in Koopman operator theory and it produces good…

Dynamical Systems · Mathematics 2021-09-22 Dimitris Giannakis , Amelia Henriksen , Joel A. Tropp , Rachel Ward

The rampant adoption of ML methodologies has revealed that models are usually adopted to make decisions without taking into account the uncertainties in their predictions. More critically, they can be vulnerable to adversarial examples.…

Machine Learning · Statistics 2021-09-29 Víctor Gallego

It is not surprising that the idea of efficient maintenance algorithms (originally motivated by strict emission regulations, and now driven by safety issues, logistics and customer satisfaction) has culminated in the so-called…

Signal Processing · Electrical Eng. & Systems 2019-12-06 Ehsan Taheri , Ilya Kolmanovsky , Oleg Gusikhin

We present a data-driven algorithm for efficiently computing stochastic control policies for general joint chance constrained optimal control problems. Our approach leverages the theory of kernel distribution embeddings, which allows…

Systems and Control · Electrical Eng. & Systems 2022-02-10 Adam J. Thorpe , Thomas Lew , Meeko M. K. Oishi , Marco Pavone

We propose a multi-scale extension of conformal prediction, an approach that constructs prediction sets with finite-sample coverage guarantees under minimal statistical assumptions. Classic conformal prediction relies on a single notion of…

Statistics Theory · Mathematics 2025-02-11 Ali Baheri , Marzieh Amiri Shahbazi

Morphological development into evolutionary patterns under structural instability is ubiquitous in living systems and often of vital importance for engineering structures. Here we propose a data-driven approach to understand and predict…

Pattern Formation and Solitons · Physics 2024-07-23 Yingjie Zhao , Zhiping Xu

The increasing penetration level of energy generation from renewable sources is demanding for more accurate and reliable forecasting tools to support classic power grid operations (e.g., unit commitment, electricity market clearing or…

Machine Learning · Computer Science 2020-07-17 Michela Moschella , Mauro Tucci , Emanuele Crisostomi , Alessandro Betti

Sequence-based specification and usage-driven statistical testing are designed for rigorous and cost-effective software development, offering a semi-formal approach to assessing the behavior of complex systems and interactions between…

Software Engineering · Computer Science 2025-07-01 Seth Wolfgang , Lan Lin , Fengguang Song

Developing predictive modelling solutions for risk estimation is extremely challenging in health-care informatics. Risk estimation involves integration of heterogeneous clinical sources having different representation from different…

Machine Learning · Computer Science 2016-09-30 Priyanka H U , Vivek R

Spectral kernel methods are techniques for transforming data into a coordinate system that efficiently reveals the geometric structure - in particular, the "connectivity" - of the data. These methods depend on certain tuning parameters. We…

Methodology · Statistics 2008-11-04 Ann B. Lee , Larry Wasserman

When machine learning systems meet real world applications, accuracy is only one of several requirements. In this paper, we assay a complementary perspective originating from the increasing availability of pre-trained and regularly…