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We study the design of computationally efficient algorithms with provable guarantees, that are robust to adversarial (test time) perturbations. While there has been an proliferation of recent work on this topic due to its connections to…

Machine Learning · Computer Science 2019-11-13 Pranjal Awasthi , Abhratanu Dutta , Aravindan Vijayaraghavan

We propose a novel relaxation of the classic asynchronous network model, called the random asynchronous model, which removes adversarial message scheduling while preserving unbounded message delays and Byzantine faults. Instead of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-27 George Danezis , Jovan Komatovic , Lefteris Kokoris-Kogias , Alberto Sonnino , Igor Zablotchi

Atomic shared objects, whose operations take place instantaneously, are a powerful abstraction for designing complex concurrent programs. Since they are not always available, they are typically substituted with software implementations. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-02 Hagit Attiya , Constantin Enea , Jennifer L. Welch

The vulnerability of deep neural network models to adversarial example attacks is a practical challenge in many artificial intelligence applications. A recent line of work shows that the use of randomization in adversarial training is the…

Machine Learning · Computer Science 2023-06-30 Jiahao Xie , Chao Zhang , Weijie Liu , Wensong Bai , Hui Qian

Despite the tremendous success of deep neural networks across various tasks, their vulnerability to imperceptible adversarial perturbations has hindered their deployment in the real world. Recently, works on randomized ensembles have…

Machine Learning · Computer Science 2022-06-15 Hassan Dbouk , Naresh R. Shanbhag

Deploying adversarially robust machine learning systems requires continuous trade-offs between robustness, cost, and latency. We present an autonomic decision-support framework providing a quantitative foundation for adaptive hardware…

Cryptography and Security · Computer Science 2026-04-23 Charles Meyers , Mohammad Reza Saleh Sedghpour , Tommy Löfstedt , Erik Elmroth

We propose the first deterministic algorithm that tolerates up to $f$ byzantine faults in $3f+1$-sized networks and performs in the asynchronous CORDA model. Our solution matches the previously established lower bound for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-13 Zohir Bouzid , Maria Potop-Butucaru , Sébastien Tixeuil

The classic Fischer, Lynch, and Paterson impossibility proof demonstrates that any deterministic protocol for consensus in either a message-passing or shared-memory system must violate at least one of termination, validity, or agreement in…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-20 James Aspnes , Shlomi Dolev , Amit Hendin

We establish the first update-time separation between dynamic algorithms against oblivious adversaries and those against adaptive adversaries in natural dynamic graph problems, based on popular fine-grained complexity hypotheses.…

Data Structures and Algorithms · Computer Science 2025-10-24 Aaron Bernstein , Sayan Bhattacharya , Nick Fischer , Peter Kiss , Thatchaphol Saranurak

In this paper, we study streaming and online algorithms in the context of randomness in the input. For several problems, a random order of the input sequence---as opposed to the worst-case order---appears to be a necessary evil in order to…

Data Structures and Algorithms · Computer Science 2020-04-28 Paritosh Garg , Sagar Kale , Lars Rohwedder , Ola Svensson

In adaptive data analysis, a mechanism gets $n$ i.i.d. samples from an unknown distribution $D$, and is required to provide accurate estimations to a sequence of adaptively chosen statistical queries with respect to $D$. Hardt and Ullman…

Machine Learning · Computer Science 2023-11-07 Kobbi Nissim , Uri Stemmer , Eliad Tsfadia

High order momentum-based parameter update algorithms have seen widespread applications in training machine learning models. Recently, connections with variational approaches have led to the derivation of new learning algorithms with…

Optimization and Control · Mathematics 2021-06-08 Joseph E. Gaudio , Anuradha M. Annaswamy , José M. Moreu , Michael A. Bolender , Travis E. Gibson

We resolve a fundamental question about the ability to perform a statistical task, such as learning, when an adversary corrupts the sample. Such adversaries are specified by the types of corruption they can make and their level of knowledge…

Machine Learning · Computer Science 2025-09-03 Guy Blanc , Gregory Valiant

We consider the problem of tracking an adversarial state sequence in a linear dynamical system subject to adversarial disturbances and loss functions, generalizing earlier settings in the literature. To this end, we develop three…

Machine Learning · Computer Science 2022-02-23 Zhiyu Zhang , Ashok Cutkosky , Ioannis Ch. Paschalidis

Large scale cryptocurrencies require the participation of millions of participants and support economic activity of billions of dollars, which has led to new lines of work in binary Byzantine Agreement (BBA) and consensus. The new work aims…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-07 Thaddeus Dryja , Quanquan C. Liu , Neha Narula

We introduce a new model of stochastic bandits with adversarial corruptions which aims to capture settings where most of the input follows a stochastic pattern but some fraction of it can be adversarially changed to trick the algorithm,…

Machine Learning · Computer Science 2018-03-28 Thodoris Lykouris , Vahab Mirrokni , Renato Paes Leme

We address the challenges of Byzantine-robust training in asynchronous distributed machine learning systems, aiming to enhance efficiency amid massive parallelization and heterogeneous computing resources. Asynchronous systems, marked by…

Machine Learning · Computer Science 2025-06-05 Tehila Dahan , Kfir Y. Levy

Designing dynamic algorithms against an adaptive adversary whose performance match the ones assuming an oblivious adversary is a major research program in the field of dynamic graph algorithms. One of the prominent examples whose…

Data Structures and Algorithms · Computer Science 2022-07-12 Sayan Bhattacharya , Thatchaphol Saranurak , Pattara Sukprasert

Deep neural networks are capable of training fast and generalizing well within many domains. Despite their promising performance, deep networks have shown sensitivities to perturbations of their inputs (e.g., adversarial examples) and their…

Machine Learning · Computer Science 2020-07-09 Justin Goodwin , Olivia Brown , Victoria Helus

We consider h-adaptive algorithms in the context of the finite element method (FEM) and the boundary element method (BEM). Under quite general assumptions on the building blocks SOLVE, ESTIMATE, MARK, and REFINE of such algorithms, we prove…

Numerical Analysis · Mathematics 2022-04-27 Gregor Gantner , Dirk Praetorius