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We consider the problem of upper bounding the expected log-likelihood sub-optimality of the maximum likelihood estimate (MLE), or a conjugate maximum a posteriori (MAP) for an exponential family, in a non-asymptotic way. Surprisingly, we…

Machine Learning · Statistics 2021-11-15 Rémi Le Priol , Frederik Kunstner , Damien Scieur , Simon Lacoste-Julien

To face future reliability challenges, it is necessary to quantify the risk of error in any part of a computing system. To this goal, the Architectural Vulnerability Factor (AVF) has long been used for chips. However, this metric is used…

Hardware Architecture · Computer Science 2023-08-02 Luc Jaulmes , Miquel Moretó , Mateo Valero , Marc Casas

This paper addresses the problem of estimating multiplicative fault signals in linear time-invariant systems by processing its input and output variables, as well as designing an input signal to maximize the accuracy of such estimates. The…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Gabriel de Albuquerque Gleizer , Peyman Mohajerin Esfahani , Tamas Keviczky

In confirmatory clinical trials with small sample sizes, hypothesis tests based on asymptotic distributions are often not valid and exact non-parametric procedures are applied instead. However, the latter are based on discrete test…

Methodology · Statistics 2018-02-22 Robin Ristl , Dong Xi , Ekkehard Glimm , Martin Posch

Maximum a posteriori (MAP) inference in discrete-valued Markov random fields is a fundamental problem in machine learning that involves identifying the most likely configuration of random variables given a distribution. Due to the…

Machine Learning · Computer Science 2020-07-03 Jonathan N. Lee , Aldo Pacchiano , Peter Bartlett , Michael I. Jordan

Fully computable a posteriori error estimates in the energy norm are given for singularly perturbed semilinear reaction-diffusion equations posed in polygonal domains. Linear finite elements are considered on anisotropic triangulations. To…

Numerical Analysis · Mathematics 2017-07-20 Natalia Kopteva

We propose and analyze a posteriori error estimators for an optimal control problem that involves an elliptic partial differential equation as state equation and a control variable that enters the state equation as a coefficient; pointwise…

Optimization and Control · Mathematics 2022-03-31 Francisco Fuica , Enrique Otarola

Multilevel methods represent a powerful approach in numerical solution of partial differential equations. The multilevel structure can also be used to construct estimates for total and algebraic errors of computed approximations. This paper…

Numerical Analysis · Mathematics 2024-05-13 Petr Vacek , Jan Papež , Zdeněk Strakoš

AIMS. The maximum-likelihood method is the standard approach to obtain model fits to observational data and the corresponding confidence regions. We investigate possible sources of bias in the log-likelihood function and its subsequent…

Astrophysics · Physics 2009-11-11 J. Hartlap , P. Simon , P. Schneider

Gate fidelity -- an average fidelity over all possible input states -- is the workhorse metric for benchmarking quantum gates or circuits, yet fault-tolerant quantum computing ultimately depends on the worst-case behavior, typically…

Quantum Physics · Physics 2026-03-10 Kyoungho Cho , Ilkwon Sohn , Yongsoo Hwang , Jeongho Bang

We establish an algorithm to learn feedback maps from data for a class of robust model predictive control (MPC) problems. The algorithm accounts for the approximation errors due to the learning directly at the synthesis stage, ensuring…

Optimization and Control · Mathematics 2025-10-16 Siddhartha Ganguly , Shubham Gupta , Debasish Chatterjee

The success of modern parallel paradigms such as MapReduce, Hadoop, or Spark, has attracted a significant attention to the Massively Parallel Computation (MPC) model over the past few years, especially on graph problems. In this work, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-07 Soheil Behnezhad , Mahsa Derakhshan , MohammadTaghi Hajiaghayi , Richard M. Karp

We present a global optimization approach for solving the maximum a-posteriori (MAP) clustering problem under the Gaussian mixture model.Our approach can accommodate side constraints and it preserves the combinatorial structure of the MAP…

Machine Learning · Statistics 2020-03-18 Patrick Flaherty , Pitchaya Wiratchotisatian , Ji Ah Lee , Zhou Tang , Andrew C. Trapp

This paper combines two ingredients in order to get a rather surprising result on one of the most studied, elegant and powerful tools for solving convex feasibility problems, the method of alternating projections (MAP). Going back to names…

Optimization and Control · Mathematics 2021-11-11 Roger Behling , Yunier Bello-Cruz , Luiz-Rafael Santos

In this paper, we present an information theoretic analysis of the blind signal classification algorithm. We show that the algorithm is equivalent to a Maximum A Posteriori (MAP) estimator based on estimated parametric probability models.…

Information Theory · Computer Science 2010-01-13 Xudong Ma

Mixed-Criticality (MC) systems have recently been devised to address the requirements of real-time systems in industrial applications, where the system runs tasks with different criticality levels on a single platform. In some workloads, a…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-01 Behnaz Ranjbar , Ali Hosseinghorban , Mohammad Salehi , Alireza Ejlali , Akash Kumar

This paper presents a time-optimal Model Predictive Control (MPC) scheme for linear discrete-time systems subject to multiplicative uncertainties represented by interval matrices. To render the uncertainty propagation computationally…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Renato Quartullo , Andrea Garulli , Mirko Leomanni

A new high-level implementation independent functional fault model for control faults in microprocessors is introduced. The fault model is based on the instruction set, and is specified as a set of data constraints to be satisfied by test…

Hardware Architecture · Computer Science 2019-07-30 Adeboye Stephen Oyeniran , Raimund Ubar , Maksim Jenihhin , Cemil Cem Gursoy , Jaan Raik

Any data modeling exercise has two main components: parameter estimation and model selection. The latter will be the topic of this lecture note. More concretely we will introduce several Monte-Carlo sampling-based rules for model selection…

Methodology · Statistics 2022-09-28 Petre Stoica , Xiaolei Shang , Yuanbo Cheng

Approximate circuits trading the power consumption for the quality of results play a key role in the development of energy-aware systems. Designing complex approximate circuits is, however, a very difficult and computationally demanding…

Hardware Architecture · Computer Science 2025-10-23 Milan Češka , Jiří Matyáš , Vojtech Mrazek , Tomáš Vojnar
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