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We consider the swelling of hydrogels as an example of a chemo-mechanical problem with strong coupling between the mechanical balance relations and the mass diffusion. The problem is cast into a minimization formulation using a…

Numerical Analysis · Mathematics 2022-12-05 Bjoern Kiefer , Stefan Prüger , Oliver Rheinbach , Friederike Röver

We give the first polynomial-time algorithm for performing linear or polynomial regression resilient to adversarial corruptions in both examples and labels. Given a sufficiently large (polynomial-size) training set drawn i.i.d. from…

Machine Learning · Computer Science 2020-06-05 Adam Klivans , Pravesh K. Kothari , Raghu Meka

The demand for faster protection algorithms is growing due to the increasingly faster dynamics in the system. The majority of existing algorithms require empirically selected set-points, which may reduce sensitivity to internal faults and…

Systems and Control · Electrical Eng. & Systems 2019-08-13 Nadezhda Davydova , Dmitry Shchetinin , Gabriela Hug

We present a sparse matrix permutation from graph theory that gives stable incomplete Lower-Upper (LU) preconditioners necessary for iterative solutions to the steady state density matrix for quantum optomechanical systems. This reordering…

Quantum Physics · Physics 2015-01-28 P. D. Nation , J. R. Johansson , M. P. Blencowe , A. J. Rimberg

In this work, restricted additive Schwarz (RAS) and optimized restricted additive Schwarz (ORAS) preconditioners from the Trilinos package FROSch (Fast and Robust Overlapping Schwarz) are employed to solve model problems implemented using…

Numerical Analysis · Mathematics 2024-10-31 Alexander Heinlein , Sebastian Kinnewig , Thomas Wick

A scheme for linear optical implementation of fault-tolerant quantum computation is proposed, which is based on an error-detecting code. Each computational step is mediated by transfer of quantum information into an ancilla system embedding…

Quantum Physics · Physics 2007-10-07 Jaeyoon Cho

Black-box finetuning is an emerging interface for adapting state-of-the-art language models to user needs. However, such access may also let malicious actors undermine model safety. To demonstrate the challenge of defending finetuning…

Cryptography and Security · Computer Science 2024-07-01 Danny Halawi , Alexander Wei , Eric Wallace , Tony T. Wang , Nika Haghtalab , Jacob Steinhardt

Training deep neural models in the presence of corrupted supervision is challenging as the corrupted data points may significantly impact the generalization performance. To alleviate this problem, we present an efficient robust algorithm…

Machine Learning · Computer Science 2021-02-16 Boyang Liu , Mengying Sun , Ding Wang , Pang-Ning Tan , Jiayu Zhou

We consider the problem of optimizing an unknown (typically non-convex) function with a bounded norm in some Reproducing Kernel Hilbert Space (RKHS), based on noisy bandit feedback. We consider a novel variant of this problem in which the…

Machine Learning · Statistics 2020-03-05 Ilija Bogunovic , Andreas Krause , Jonathan Scarlett

Reliability has emerged as a key topic of interest for researchers around the world to detect and/or mitigate the side effects of decreasing transistor sizes, such as soft errors. Traditional solutions, like DMR and TMR, incur significant…

Hardware Architecture · Computer Science 2019-10-22 Bharath Srinivas Prabakaran , Mihika Dave , Florian Kriebel , Semeen Rehman , Muhammad Shafique

Corrupted training data are ubiquitous. Corrective Machine Unlearning (CMU) seeks to remove the influence of such corruption post-training. Prior CMU typically assumes access to identified corrupted training samples (a "forget set").…

Machine Learning · Computer Science 2025-11-26 Mostafa Mozafari , Farooq Ahmad Wani , Maria Sofia Bucarelli , Fabrizio Silvestri

Parallel algorithms and simulators with good scalabilities are particularly important for large-scale reservoir simulations on modern supercomputers with a large number of processors. In this paper, we introduce and study a family of highly…

Numerical Analysis · Mathematics 2020-07-29 Rui Li , Haijian Yang , Chao Yang

When a computational task tolerates a relaxation of its specification or when an algorithm tolerates the effects of noise in its execution, hardware, programming languages, and system software can trade deviations from correct behavior for…

High-performance and safety-critical system architects must accurately evaluate the application-level silent data corruption (SDC) rates of processors to soft errors. Such an evaluation requires error propagation all the way from particle…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-05 Siva Kumar Sastry Hari , Paolo Rech , Timothy Tsai , Mark Stephenson , Arslan Zulfiqar , Michael Sullivan , Philip Shirvani , Paul Racunas , Joel Emer , Stephen W. Keckler

Too many defective compute chips are escaping existing manufacturing tests -- at least an order of magnitude more than industrial targets across all compute chip types in data centers. Silent data corruptions (SDCs) caused by test escapes,…

Fault-tolerant operations based on stabilizer codes are the state of the art in suppressing error rates in quantum computations. Most such codes do not permit a straightforward implementation of non-Clifford logical operations, which are…

Dealing with hardware and software faults is an important problem as parallel and distributed systems scale to millions of processing cores and wide area networks. Traditional methods for dealing with faults include checkpoint-restart,…

Numerical Analysis · Computer Science 2014-12-24 David F. Gleich , Ananth Grama , Yao Zhu

Domain decomposition methods are widely used and effective in the approximation of solutions to partial differential equations. Yet the optimal construction of these methods requires tedious analysis and is often available only in…

Machine Learning · Computer Science 2022-10-19 Ali Taghibakhshi , Nicolas Nytko , Tareq Zaman , Scott MacLachlan , Luke Olson , Matthew West

With the rapid evolution of Large Language Models (LLMs) and their large-scale experimentation in cloud-computing spaces, the challenge of guaranteeing their security and efficiency in a failure scenario has become a main issue. To ensure…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-18 Yihong Jin , Ze Yang , Xinhe Xu , Yihan Zhang , Shuyang Ji

Cloud networks increasingly rely on machine learning based Network Intrusion Detection Systems to defend against evolving cyber threats. However, real-world deployments are challenged by limited labeled data, non-stationary traffic, and…

Machine Learning · Computer Science 2026-04-15 Anasuya Chattopadhyay , Daniel Reti , Hans D. Schotten