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The Kalman filter is an algorithm for the estimation of hidden variables in dynamical systems under linear Gauss-Markov assumptions with widespread applications across different fields. Recently, its Bayesian interpretation has received a…

Neurons and Cognition · Quantitative Biology 2021-11-23 Manuel Baltieri , Takuya Isomura

Interleaving is a mechanism universally used in wireless access technologies to alleviate the effect of channel correlation. In spite of its wide adoption, to the best of our knowledge, there are no analytical models proposed so far. In…

Information Theory · Computer Science 2018-01-31 Dmitri Moltchanov , Pavel Kustarev , Yevgeni Kucharyavy

This work presents a distributed algorithm for nonlinear adaptive learning. In particular, a set of nodes obtain measurements, sequentially one per time step, which are related via a nonlinear function; their goal is to collectively…

Information Theory · Computer Science 2016-02-09 Symeon Chouvardas , Moez Draief

Selective inference aims at providing valid inference after a data-driven selection of models or hypotheses. It is essential to avoid overconfident results and replicability issues. While significant advances have been made in this area for…

Methodology · Statistics 2025-03-14 Matteo D'Alessandro , Magne Thoresen

We formulate a recursive estimation problem for multiple dynamical systems coupled through a low dimensional stochastic input, and we propose an efficient sub-optimal solution. The suggested approach is an approximation of the Kalman filter…

Optimization and Control · Mathematics 2019-11-26 Leonid Pogorelyuk , Clarence W. Rowley , N. Jeremy Kasdin

In the setting of entangled single-sample distributions, the goal is to estimate some common parameter shared by a family of distributions, given one \emph{single} sample from each distribution. We study mean estimation and linear…

Machine Learning · Computer Science 2020-07-08 Hui Yuan , Yingyu Liang

We present a filter based approach for inbetweening. We train a convolutional neural network to generate intermediate frames. This network aim to generate smooth animation of line drawings. Our method can process scanned images directly.…

Computer Vision and Pattern Recognition · Computer Science 2017-06-13 Yuichi Yagi

This article develops iterative machine learning (IML) for output tracking. The input-output data generated during iterations to develop the model used in the iterative update. The main contribution of this article to propose the use of…

Systems and Control · Computer Science 2018-01-04 Santosh Devasia

When optimizing over-parameterized models, such as deep neural networks, a large set of parameters can achieve zero training error. In such cases, the choice of the optimization algorithm and its respective hyper-parameters introduces…

Machine Learning · Computer Science 2019-12-06 Gauthier Gidel , Francis Bach , Simon Lacoste-Julien

This study presents a theoretical analysis on the efficiency of interleaving, an efficient online evaluation method for rankings. Although interleaving has already been applied to production systems, the source of its high efficiency has…

Information Retrieval · Computer Science 2023-06-21 Kojiro Iizuka , Hajime Morita , Makoto P. Kato

Inverse reinforcement learning (IRL) infers a reward function from demonstrations, allowing for policy improvement and generalization. However, despite much recent interest in IRL, little work has been done to understand the minimum set of…

Machine Learning · Computer Science 2019-08-19 Daniel S. Brown , Scott Niekum

We present an efficient and practical (polynomial time) algorithm for online prediction in unknown and partially observed linear dynamical systems (LDS) under stochastic noise. When the system parameters are known, the optimal linear…

Machine Learning · Computer Science 2020-10-13 Paria Rashidinejad , Jiantao Jiao , Stuart Russell

While numerous machine unlearning (MU) methods have recently been developed with promising results in erasing the influence of forgotten data, classes, or concepts, they are also highly vulnerable-for example, simple fine-tuning can…

Machine Learning · Computer Science 2026-04-10 Yichen Gao , Altay Unal , Akshay Rangamani , Zhihui Zhu

Machine Learning algorithms are typically regarded as appropriate optimization schemes for minimizing risk functions that are constructed on the training set, which conveys statistical flavor to the corresponding learning problem. When the…

Machine Learning · Computer Science 2019-07-05 Alessandro Betti , Marco Gori

Learning linear combinations of multiple kernels is an appealing strategy when the right choice of features is unknown. Previous approaches to multiple kernel learning (MKL) promote sparse kernel combinations to support interpretability and…

Machine Learning · Computer Science 2010-10-28 Marius Kloft , Ulf Brefeld , Soeren Sonnenburg , Alexander Zien

We introduce a statistical physics inspired supervised machine learning algorithm for classification and regression problems. The method is based on the invariances or stability of predicted results when known data is represented as…

Machine Learning · Statistics 2018-11-19 Patrick Chao , Tahereh Mazaheri , Bo Sun , Nicholas B. Weingartner , Zohar Nussinov

In this work we are interested in the problems of supervised learning and variable selection when the input-output dependence is described by a nonlinear function depending on a few variables. Our goal is to consider a sparse nonparametric…

Machine Learning · Statistics 2012-08-14 Lorenzo Rosasco , Silvia Villa , Sofia Mosci , Matteo Santoro , Alessandro verri

This work formulates the machine learning mechanism as a bi-level optimization problem. The inner level optimization loop entails minimizing a properly chosen loss function evaluated on the training data. This is nothing but the…

Machine Learning · Computer Science 2023-01-27 Maziar Raissi

State estimation that combines observational data with mathematical models is central to many applications and is commonly addressed through filtering methods, such as ensemble Kalman filters. In this article, we examine the signal-tracking…

Numerical Analysis · Mathematics 2025-09-08 Nazanin Abedini , Jana de Wiljes , Svetlana Dubinkina

For linear discrete state-space (LDSS) models, under certain conditions, the linear least mean squares filter estimate has a convenient recursive predictor/corrector format, aka the Kalman filter (KF). The aim of the paper is to introduce…

Signal Processing · Electrical Eng. & Systems 2017-11-07 Eric Chaumette , Francois Vincent