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Robin Hirsch posed in 1996 the 'Really Big Complexity Problem': classify the computational complexity of the network satisfaction problem for all finite relation algebras A. We provide a complete classification for the case that A is…

Logic · Mathematics 2023-01-06 Manuel Bodirsky , Simon Knäuer

We introduce a new, "worst-case" model for an asynchronous communication network and investigate the simplest (yet central) task in this model, namely the feasibility of end-to-end routing. Motivated by the question of how successful a…

Networking and Internet Architecture · Computer Science 2009-10-26 Paul Bunn , Rafail Ostrovsky

The Low Latency Fault Tolerance (LLFT) system provides fault tolerance for distributed applications, using the leader-follower replication technique. The LLFT system provides application-transparent replication, with strong replica…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-08-09 Wenbing Zhao , P. M. Melliar-Smith , L. E. Moser

This paper studies the lattice agreement problem in asynchronous systems and explores its application to building linearizable replicated state machines (RSM). First, we propose an algorithm to solve the lattice agreement problem in $O(\log…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-16 Xiong Zheng , Vijay K. Garg , John Kaippallimalil

Federated Learning (FL) with quantization and deliberately added noise over wireless networks is a promising approach to preserve user differential privacy (DP) while reducing wireless resources. Specifically, an FL process can be fused…

Federated learning (FL) as a promising edge-learning framework can effectively address the latency and privacy issues by featuring distributed learning at the devices and model aggregation in the central server. In order to enable efficient…

Information Theory · Computer Science 2022-07-12 Chunmei Xu , Shengheng Liu , Zhaohui Yang , Yongming Huang , Kai-Kit Wong

When a computer algebra system fails to solve an Ordinary Differential Equation, is this a limitation of its implementation, or a genuine computational barrier? Three traditions bear on the question. Modern computer algebra algorithms can…

Symbolic Computation · Computer Science 2026-05-11 Olivier Bournez , Alonso Núñez

It is a well known fact that an quantum state $|\psi(\theta,\phi)>$ is represented by a point on the Bloch sphere, characterized by two parameters $\theta$ and $\phi$. In a recent work we already proved that it is impossible to partially…

Quantum Physics · Physics 2009-05-06 Indranil Chakrabarty

This paper studies the power of the "abstract MAC layer" model in a single-hop asynchronous network. The model captures primitive properties of modern wireless MAC protocols. In this model, Newport [PODC '14] proves that it is impossible to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Qinzi Zhang , Lewis Tseng

Federated learning (FL) is a popular distributed machine learning (ML) technique in Internet of Things (IoT) networks, where resource-constrained devices collaboratively train ML models while preserving data privacy. However, implementation…

Networking and Internet Architecture · Computer Science 2026-01-07 Payam Abdisarabshali , Nicholas Accurso , Filippo Malandra , Weifeng Su , Seyyedali Hosseinalipour

This Letter looks at the consequences of so-called 'superstrong nonlocal correlations', which are hypothetical violations of Bell/CHSH inequalities that are stronger than quantum mechanics allows, yet weak enough to prohibit…

Quantum Physics · Physics 2007-05-23 Wim van Dam

This paper is concerned with the convergence and long-term stability analysis of the feedback particle filter (FPF) algorithm. The FPF is an interacting system of $N$ particles where the interaction is designed such that the empirical…

Probability · Mathematics 2018-09-24 Amirhossein Taghvaei , Prashant G. Mehta

As a popular paradigm for juggling data privacy and collaborative training, federated learning (FL) is flourishing to distributively process the large scale of heterogeneous datasets on edged clients. Due to bandwidth limitations and…

Machine Learning · Computer Science 2025-01-22 Yan Sun , Li Shen , Dacheng Tao

Conventional frequentist FL schemes are known to yield overconfident decisions. Bayesian FL addresses this issue by allowing agents to process and exchange uncertainty information encoded in distributions over the model parameters. However,…

Machine Learning · Computer Science 2022-09-20 Jinu Gong , Osvaldo Simeone , Joonhyuk Kang

We generalize a theorem by Khalfin, originally derived for the states $| F_1 > = | M^0>$, $| F_2 > = |\bar M^0>$, where $M^0$ is a neutral flavoured meson (e.g., $K^0$ or $B_d^0$), by assuming CPT invariance. Dispensing with CPT invariance…

High Energy Physics - Phenomenology · Physics 2009-11-07 G. V. Dass , W. Grimus

This article describes a Turing machine which can solve for $\beta^{'}$ which is RE-complete. RE-complete problems are proven to be undecidable by Turing's accepted proof on the Entscheidungsproblem. Thus, constructing a machine which…

Computational Complexity · Computer Science 2018-04-24 Mark Inman

The optimal fault-tolerance achievable by any protocol has been characterized in a wide range of settings. For example, for state machine replication (SMR) protocols operating in the partially synchronous setting, it is possible to…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-01 Andrew Lewis-Pye , Tim Roughgarden

Optimal power flow (OPF) is a central problem in the operation of electric power systems. An OPF problem optimizes a specified objective function subject to constraints imposed by both the non-linear power flow equations and engineering…

Optimization and Control · Mathematics 2018-04-13 Mohammad Rasoul Narimani , Daniel K. Molzahn Dan Wu , Mariesa L. Crow

The conjunction of edge intelligence and the ever-growing Internet-of-Things (IoT) network heralds a new era of collaborative machine learning, with federated learning (FL) emerging as the most prominent paradigm. With the growing interest…

Machine Learning · Computer Science 2024-11-25 Nizar Masmoudi , Wael Jaafar

Optimal Power Flow (OPF) is an important tool used to coordinate assets in electric power systems to ensure customer voltages are within pre-defined tolerances and to improve distribution system operations. While convex relaxations of…

Optimization and Control · Mathematics 2016-11-18 Michael D. Sankur , Roel Dobbe , Emma Stewart , Duncan S. Callaway , Daniel B. Arnold