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We propose a novel adaptive reinforcement learning control approach for fault tolerant control of degrading systems that is not preceded by a fault detection and diagnosis step. Therefore, \textit{a priori} knowledge of faults that may…

Systems and Control · Electrical Eng. & Systems 2020-08-12 Ibrahim Ahmed , Marcos Quiñones-Grueiro , Gautam Biswas

Transformer models rely on High-Performance Computing (HPC) resources for inference, where soft errors are inevitable in large-scale systems, making the reliability of the model particularly critical. Existing fault tolerance frameworks for…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-14 Huangliang Dai , Shixun Wu , Jiajun Huang , Zizhe Jian , Yue Zhu , Haiyang Hu , Zizhong Chen

We develop an adjoint approach for recovering the topographical function included in the source term of one-dimensional hyperbolic balance laws. We focus on a specific system, namely the shallow water equations, in an effort to recover the…

Optimization and Control · Mathematics 2021-04-06 Jolene Britton , Yat Tin Chow , Weitao Chen , Yulong Xing

Reconfiguration aims at recovering a system from a fault by automatically adapting the system configuration, such that the system goal can be reached again. Classical approaches typically use a set of pre-defined faults for which…

Artificial Intelligence · Computer Science 2021-05-19 Kaja Balzereit , Oliver Niggemann

We present a model of roundoff error analysis that combines simplicity with predictive power. Though not considering all sources of roundoff within an algorithm, the model is related to a recursive roundoff error analysis and therefore…

Numerical Analysis · Mathematics 2010-06-01 Folkmar Bornemann

The task of choosing a preconditioner $\boldsymbol{M}$ to use when solving a linear system $\boldsymbol{Ax}=\boldsymbol{b}$ with iterative methods is difficult. For instance, even if one has access to a collection…

Numerical Analysis · Mathematics 2024-09-23 Conner DiPaolo , Weiqing Gu

Abstraction (in its various forms) is a powerful established technique in model-checking; still, when unbounded data-structures are concerned, it cannot always cope with divergence phenomena in a satisfactory way. Acceleration is an…

Logic in Computer Science · Computer Science 2013-10-04 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

In this paper, we introduce a variation of the group testing problem capturing the idea that a positive test requires a combination of multiple ``types'' of item. Specifically, we assume that there are multiple disjoint \emph{semi-defective…

Information Theory · Computer Science 2024-05-10 Thach V. Bui , Jonathan Scarlett

We demonstrate via several examples how the backward error viewpoint can be used in the analysis of solutions obtained by perturbation methods. We show that this viewpoint is quite general and offers several important advantages. Perhaps…

Numerical Analysis · Mathematics 2016-09-07 Robert M. Corless , Nicolas Fillion

Model-based fault-tolerant control (FTC) often consists of two distinct steps: fault detection & isolation (FDI), and fault accommodation. In this work we investigate posing fault-tolerant control as a single Bayesian inference problem.…

Systems and Control · Electrical Eng. & Systems 2022-04-19 Mohamed Baioumy , William Hartemink , Riccardo M. G. Ferrari , Nick Hawes

Large language models are increasingly used to produce runnable software. In practice, security is often addressed through a Detect--Repair--Verify (DRV) loop that detects issues, applies fixes, and verifies the result. This work studies…

Software Engineering · Computer Science 2026-03-03 Cheng Cheng

Machine learning models are often learned by minimising a loss function on the training data using a gradient descent algorithm. These models often suffer from overfitting, leading to a decline in predictive performance on unseen data. A…

The problem of low-tubal-rank tensor estimation is a fundamental task with wide applications across high-dimensional signal processing, machine learning, and image science. Traditional approaches tackle such a problem by performing tensor…

Machine Learning · Computer Science 2025-12-24 Zhiyu Liu , Zhi Han , Yandong Tang , Jun Fan , Yao Wang

This work studies the robust evaluation of iterative stochastic purification defenses under white-box adversarial attacks. Our key technical insight is that gradient checkpointing makes exact end-to-end gradient computation through long…

Machine Learning · Computer Science 2026-05-08 Yuan Du , Mitchel Hill , HanQin Cai

Software model checkers based on under-approximations and SMT solvers are very successful at verifying safety (i.e. reachability) properties. They combine two key ideas -- (a) "concreteness": a counterexample in an under-approximation is a…

Logic in Computer Science · Computer Science 2013-06-11 Anvesh Komuravelli , Arie Gurfinkel , Sagar Chaki , Edmund M. Clarke

Although it is relatively easy to apply, the gradient method often displays a disappointingly slow rate of convergence. Its convergence is specially based on the structure of the matrix of the algebraic linear system, and on the choice of…

Numerical Analysis · Mathematics 2025-06-03 Ibrahima Dione

The overall performance or expected excess risk of an iterative machine learning algorithm can be decomposed into training error and generalization error. While the former is controlled by its convergence analysis, the latter can be tightly…

Machine Learning · Statistics 2018-04-06 Yuansi Chen , Chi Jin , Bin Yu

After initial release of a machine learning algorithm, the model can be fine-tuned by retraining on subsequently gathered data, adding newly discovered features, or more. Each modification introduces a risk of deteriorating performance and…

Machine Learning · Statistics 2022-03-23 Jean Feng , Gene Pennello , Nicholas Petrick , Berkman Sahiner , Romain Pirracchio , Alexej Gossmann

Fault localization is to identify faulty source code. It could be done on various granularities, e.g., classes, methods, and statements. Most of the automated fault localization (AFL) approaches are coarse-grained because it is challenging…

Software Engineering · Computer Science 2021-07-21 Leping Li , Hui Liu

The conditional particle filter (CPF) is a promising algorithm for general hidden Markov model smoothing. Empirical evidence suggests that the variant of CPF with backward sampling (CBPF) performs well even with long time series. Previous…

Computation · Statistics 2019-08-29 Anthony Lee , Sumeetpal S. Singh , Matti Vihola
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