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Graph partitioning is one of an important set of well-known compute-intense (NP-hard) graph problems that devolve to discrete constrained optimization. We sampled solutions to the problem via two different quantum-ready methods to…

Adversarial online linear optimization (OLO) is essentially about making performance tradeoffs with respect to the unknown difficulty of the adversary. In the setting of one-dimensional fixed-time OLO on a bounded domain, it has been…

Machine Learning · Statistics 2026-02-09 Zhiyu Zhang , Aaditya Ramdas

The All-Pairs Shortest Path problem (APSP) is one of the most central problems in distributed computation. In the CONGEST-CLIQUE model, in which $n$ nodes communicate with each other over a fully connected network by exchanging messages of…

Quantum Physics · Physics 2021-10-05 Taisuke Izumi , François Le Gall

Load balancing is among the basic primitives in distributed computing. In this paper, we consider this problem when executed locally on a network with nodes prone to failures. We show that there exist lightweight network topologies that are…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-05 Dariusz R. Kowalski , Jan Olkowski

Recent years have witnessed a rapid growth of distributed machine learning (ML) frameworks, which exploit the massive parallelism of computing clusters to expedite ML training. However, the proliferation of distributed ML frameworks also…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-16 Menglu Yu , Jia Liu , Chuan Wu , Bo Ji , Elizabeth S. Bentley

We study online linear regression problems in a distributed setting, where the data is spread over a network. In each round, each network node proposes a linear predictor, with the objective of fitting the \emph{network-wide} data. It then…

Machine Learning · Computer Science 2019-02-14 Deming Yuan , Alexandre Proutiere , Guodong Shi

Kallampally and Tewari showed in 2016 that there can be a trade-off between determinism and time in space-bounded computations. This they did by describing an unambiguous non-deterministic algorithm to solve Directed Graph Reachability that…

Computational Complexity · Computer Science 2025-04-16 Ronak Bhadra , Raghunath Tewari

We give a simple combinatorial algorithm to deterministically approximately count the number of satisfying assignments of general constraint satisfaction problems (CSPs). Suppose that the CSP has domain size $q=O(1)$, each constraint…

Data Structures and Algorithms · Computer Science 2023-03-10 Kun He , Chunyang Wang , Yitong Yin

This paper is devoted to the online dominating set problem and its variants. We believe the paper represents the first systematic study of the effect of two limitations of online algorithms: making irrevocable decisions while not knowing…

Data Structures and Algorithms · Computer Science 2018-09-14 Joan Boyar , Stephan J. Eidenbenz , Lene M. Favrholdt , Michal Kotrbčík , Kim S. Larsen

Determining whether an observed distribution of events generated in a quantum network is Bell local, i.e., if it admits an alternative realization in terms of independent local variables, is extremely challenging. Building upon…

Quantum low-density parity-check codes are a promising candidate for fault-tolerant quantum computing with considerably reduced overhead compared to the surface code. However, the lack of a practical decoding algorithm remains a barrier to…

We study the problem of Stochastic Convex Optimization (SCO) under the constraint of local Label Differential Privacy (L-LDP). In this setting, the features are considered public, but the corresponding labels are sensitive and must be…

Data Structures and Algorithms · Computer Science 2026-05-12 Lynn Chua , Badih Ghazi , Ravi Kumar , Pasin Manurangsi , Ziteng Sun , Chiyuan Zhang

We develop a new approach for online network design and obtain improved competitive ratios for several problems. Our approach gives natural deterministic algorithms and simple analyses. At the heart of our work is a novel application of…

Data Structures and Algorithms · Computer Science 2014-10-17 Seeun Umboh

Traditional online continual learning (OCL) research has primarily focused on mitigating catastrophic forgetting with fixed and limited storage allocation throughout an agent's lifetime. However, a broad range of real-world applications are…

Computer Vision and Pattern Recognition · Computer Science 2023-11-03 Ameya Prabhu , Zhipeng Cai , Puneet Dokania , Philip Torr , Vladlen Koltun , Ozan Sener

In this paper, we show a connection between a certain online low-congestion routing problem and an online prediction of graph labeling. More specifically, we prove that if there exists a routing scheme that guarantees a congestion of…

Data Structures and Algorithms · Computer Science 2008-09-12 Jittat Fakcharoenphol , Boonserm Kijsirikul

We study the problem of networked online convex optimization, where each agent individually decides on an action at every time step and agents cooperatively seek to minimize the total global cost over a finite horizon. The global cost is…

Optimization and Control · Mathematics 2022-07-14 Yiheng Lin , Judy Gan , Guannan Qu , Yash Kanoria , Adam Wierman

We propose an innovative Parallel Quantum Local Search (PQLS) methodology that leverages the capabilities of small-scale quantum computers to efficiently address complex combinatorial optimization problems. Traditional Quantum Local Search…

Quantum Physics · Physics 2024-06-11 Chen-Yu Liu , Kuan-Cheng Chen

This paper initiates the study of the classic balanced graph partitioning problem from an online perspective: Given an arbitrary sequence of pairwise communication requests between $n$ nodes, with patterns that may change over time, the…

Data Structures and Algorithms · Computer Science 2020-05-15 Chen Avin , Marcin Bienkowski , Andreas Loukas , Maciej Pacut , Stefan Schmid

In this paper, we study a very general type of online network design problem, and generalize two different previous algorithms, one for an online network design problem due to Berman and Coulston [4] and one for (offline) general network…

Data Structures and Algorithms · Computer Science 2017-02-17 Jiawei Qian , Seeun William Umboh , David P. Williamson

We survey classical localization problems arising from quantum network models in symmetry class C and their mappings to history-dependent random walks on directed lattices. We describe how localization versus delocalization of trajectories…

Probability · Mathematics 2026-01-01 Zoey Zhou