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An algorithm is proposed, analyzed, and tested experimentally for solving stochastic optimization problems in which the decision variables are constrained to satisfy equations defined by deterministic, smooth, and nonlinear functions. It is…

Optimization and Control · Mathematics 2021-07-09 Frank E. Curtis , Daniel P. Robinson , Baoyu Zhou

We study the notion of approximate entropy within the framework of network theory. Approximate entropy is an uncertainty measure originally proposed in the context of dynamical systems and time series. We firstly define a purely structural…

Disordered Systems and Neural Networks · Physics 2013-05-30 James West , Lucas Lacasa , Simone Severini , Andrew Teschendorff

High level declarative constraints provide a powerful (and popular) way to define and construct control policies; however, most synthesis algorithms do not support specifying the degree of randomness (unpredictability) of the resulting…

Robotics · Computer Science 2021-06-30 Marcell Vazquez-Chanlatte , Sebastian Junges , Daniel J. Fremont , Sanjit Seshia

Simulation-based inference (SBI) solves statistical inverse problems by repeatedly running a stochastic simulator and inferring posterior distributions from model-simulations. To improve simulation efficiency, several inference methods take…

Machine Learning · Statistics 2022-11-11 Michael Deistler , Pedro J Goncalves , Jakob H Macke

The availability of machine learning systems that can effectively perform arbitrary tasks has led to synthetic labels from these systems being used in applications of statistical inference, such as data analysis or model evaluation. The…

Machine Learning · Computer Science 2025-07-09 Benjamin Eyre , David Madras

Data integration methods aim to extract low-dimensional embeddings from high-dimensional outcomes to remove unwanted variations, such as batch effects and unmeasured covariates, across heterogeneous datasets. However, multiple hypothesis…

Methodology · Statistics 2025-12-15 Jin-Hong Du , Kathryn Roeder , Larry Wasserman

Constraint tightening to non-conservatively guarantee recursive feasibility and stability in Stochastic Model Predictive Control is addressed. Stability and feasibility requirements are considered separately, highlighting the difference…

Systems and Control · Computer Science 2016-05-13 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

This paper introduces a class of k-nearest neighbor ($k$-NN) estimators called bipartite plug-in (BPI) estimators for estimating integrals of non-linear functions of a probability density, such as Shannon entropy and R\'enyi entropy. The…

Statistics Theory · Mathematics 2012-02-28 Kumar Sricharan , Raviv Raich , Alfred O. Hero

The analysis of panel count data has garnered considerable attention in the literature, leading to the development of multiple statistical techniques. In inferential analysis, most works focus on leveraging estimating equation-based…

Methodology · Statistics 2025-10-08 Udita Goswami , Shuvashree Mondal

Neuro-symbolic approaches to artificial intelligence, which combine neural networks with classical symbolic techniques, are growing in prominence, necessitating formal approaches to reason about their correctness. We propose a novel…

Artificial Intelligence · Computer Science 2024-07-12 Rui Yan , Gabriel Santos , Gethin Norman , David Parker , Marta Kwiatkowska

A new definition of continuous-time equilibrium controls is introduced. As opposed to the standard definition, which involves a derivative-type operation, the new definition parallels how a discrete-time equilibrium is defined, and allows…

Optimization and Control · Mathematics 2021-07-15 Yu-Jui Huang , Zhou Zhou

This paper focuses on solving a stochastic variational inequality (SVI) problem under relaxed smoothness assumption for a class of structured non-monotone operators. The SVI problem has attracted significant interest in the machine learning…

Optimization and Control · Mathematics 2025-10-02 Daniil Vankov , Angelia Nedich , Lalitha Sankar

Recent advances in deep learning highlight the need for personalized models that can learn from small samples, handle high-dimensional features, and remain interpretable. To address this, we propose the Sparse Deep Additive Model with…

Machine Learning · Statistics 2026-05-19 Yi-Ting Hung , Li-Hsiang Lin , Vince D. Calhoun

We study the control of networked systems with the goal of optimizing both transient and steady-state performances while providing stability guarantees. Linear proportional-integral (PI) controllers are almost always used in practice, but…

Systems and Control · Electrical Eng. & Systems 2023-06-01 Wenqi Cui , Yan Jiang , Baosen Zhang , Yuanyuan Shi

In an offline reinforcement learning setting, the safe policy improvement (SPI) problem aims to improve the performance of a behavior policy according to which sample data has been generated. State-of-the-art approaches to SPI require a…

Machine Learning · Computer Science 2023-05-16 Patrick Wienhöft , Marnix Suilen , Thiago D. Simão , Clemens Dubslaff , Christel Baier , Nils Jansen

It is well-known that stochastic gradient noise (SGN) acts as implicit regularization for deep learning and is essentially important for both optimization and generalization of deep networks. Some works attempted to artificially simulate…

Machine Learning · Computer Science 2022-08-31 Zeke Xie , Li Yuan , Zhanxing Zhu , Masashi Sugiyama

Progressive Visual Analytics aims at improving the interactivity in existing analytics techniques by means of visualization as well as interaction with intermediate results. One key method for data analysis is dimensionality reduction, for…

Computer Vision and Pattern Recognition · Computer Science 2016-06-17 Nicola Pezzotti , Boudewijn P. F. Lelieveldt , Laurens van der Maaten , Thomas Höllt , Elmar Eisemann , Anna Vilanova

Stationary points embedded in the derivatives are often critical for a model to be interpretable and may be considered as key features of interest in many applications. We propose a semiparametric Bayesian model to efficiently infer the…

Methodology · Statistics 2024-06-11 Cheng-Han Yu , Meng Li , Colin Noe , Simon Fischer-Baum , Marina Vannucci

Equivariance to symmetries has proven to be a powerful inductive bias in deep learning research. Recent works on mesh processing have concentrated on various kinds of natural symmetries, including translations, rotations, scaling, node…

Machine Learning · Computer Science 2022-08-30 Sourya Basu , Jose Gallego-Posada , Francesco Viganò , James Rowbottom , Taco Cohen

This paper proposes a new probabilistic non-extensive entropy feature for texture characterization, based on a Gaussian information measure. The highlights of the new entropy are that it is bounded by finite limits and that it is non…

Computer Vision and Pattern Recognition · Computer Science 2016-03-09 Seba Susan , Madasu Hanmandlu