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Consider a complete communication network of $n$ nodes, where the nodes receive a common clock pulse. We study the synchronous $c$-counting problem: given any starting state and up to $f$ faulty nodes with arbitrary behaviour, the task is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-24 Christoph Lenzen , Joel Rybicki , Jukka Suomela

We analyse the asymptotic properties of a continuous-time, two-timescale stochastic approximation algorithm designed for stochastic bilevel optimisation problems in continuous-time models. We obtain the weak convergence rate of this…

Optimization and Control · Mathematics 2022-07-08 Louis Sharrock

We say that an algorithm is stable if small changes in the input result in small changes in the output. This kind of algorithm stability is particularly relevant when analyzing and visualizing time-varying data. Stability in general plays…

Data Structures and Algorithms · Computer Science 2025-03-10 Wouter Meulemans , Bettina Speckmann , Kevin Verbeek , Jules Wulms

A simple yet efficient computational algorithm for computing the continuous optimal experimental design for linear models is proposed. An alternative proof the monotonic convergence for $D$-optimal criterion on continuous design spaces are…

Computation · Statistics 2018-04-10 Jiangtao Duan , Wei Gao , Hon Keung Tony Ng

We introduce a model of online algorithms subject to strict constraints on data retention. An online learning algorithm encounters a stream of data points, one per round, generated by some stationary process. Crucially, each data point can…

Machine Learning · Computer Science 2024-04-18 Nicole Immorlica , Brendan Lucier , Markus Mobius , James Siderius

In the worst-case analysis of algorithms, the overall performance of an algorithm is summarized by its worst performance on any input. This approach has countless success stories, but there are also important computational problems --- like…

Data Structures and Algorithms · Computer Science 2018-06-27 Tim Roughgarden

This research addresses the multiprocessor scheduling problem of hard real-time systems, and it especially focuses on optimal and global schedulers when practical constraints are taken into account. First, we propose an improvement of the…

Operating Systems · Computer Science 2011-01-25 Shelby Funk , Vincent Nelis , Joel Goossens , Dragomir Milojevic , Geoffrey Nelissen

We show how to represent sets in a linear space data structure such that expressions involving unions and intersections of sets can be computed in a worst-case efficient way. This problem has applications in e.g. information retrieval and…

Data Structures and Algorithms · Computer Science 2007-08-27 Philip Bille , Anna Pagh , Rasmus Pagh

We study output-sensitive algorithms and complexity for multiobjective combinatorial optimization problems. In this computational complexity framework, an algorithm for a general enumeration problem is regarded efficient if it is…

Optimization and Control · Mathematics 2022-07-21 Fritz Bökler , Matthias Ehrgott , Christopher Morris , Petra Mutzel

The stabilization of time series processes is a crucial problem that is ubiquitous in various industrial fields. The application of machine learning to its solution can have a decisive impact, improving both the quality of the resulting…

Machine Learning · Computer Science 2025-07-01 Matvei Anoshin , Olga Tsurkan , Vadim Lopatkin , Leonid Fedichkin

This paper proposes a model, the linear model, for randomly generating logic programs with low density of rules and investigates statistical properties of such random logic programs. It is mathematically shown that the average number of…

Artificial Intelligence · Computer Science 2015-10-07 Kewen Wang , Lian Wen , Kedian Mu

An efficient and flexible engine for computing fixed points is critical for many practical applications. In this paper, we firstly present a goal-directed fixed point computation strategy in the logic programming paradigm. The strategy…

Programming Languages · Computer Science 2007-05-23 Hai-Feng Guo , Gopal Gupta

LPMLN is a recent addition to probabilistic logic programming languages. Its main idea is to overcome the rigid nature of the stable model semantics by assigning a weight to each rule in a way similar to Markov Logic is defined. We present…

Artificial Intelligence · Computer Science 2017-12-04 Joohyung Lee , Samidh Talsania , Yi Wang

We consider Parallel Random Access Machine (PRAM) which has some processors and memory cells faulty. The faults considered are static, i.e., once the machine starts to operate, the operational/faulty status of PRAM components does not…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-12 Bogdan S. Chlebus , Leszek Gasieniec , Andrzej Pelc

We study a mutually enriching connection between response time analysis in real-time systems and the mixing set problem. Thereby generalizing over known results we present a new approach to the computation of response times in…

Data Structures and Algorithms · Computer Science 2023-11-02 Max A. Deppert , Klaus Jansen

We propose a memory-model-aware static program analysis method for accurately analyzing the behavior of concurrent software running on processors with weak consistency models such as x86-TSO, SPARC-PSO, and SPARC-RMO. At the center of our…

Programming Languages · Computer Science 2017-09-29 Markus Kusano , Chao Wang

This paper addresses two central problems for probabilistic processing models: parameter estimation from incomplete data and efficient retrieval of most probable analyses. These questions have been answered satisfactorily only for…

cmp-lg · Computer Science 2007-05-23 Stefan Riezler

We present some hardness results on finding the optimal policy for the static formulation of distributionally robust Markov decision processes. We construct problem instances such that when the considered policy class is Markovian and…

Optimization and Control · Mathematics 2026-05-08 Yan Li

Parallelization is a popular strategy for improving the performance of iterative algorithms. Optimization methods are no exception: design of efficient parallel optimization methods and tight analysis of their theoretical properties are…

Optimization and Control · Mathematics 2023-11-28 Alexander Tyurin , Peter Richtárik

Many large arithmetic computations rely on tables of all primes less than $n$. For example, the fastest algorithms for computing $n!$ takes time $O(M(n\log n) + P(n))$, where $M(n)$ is the time to multiply two $n$-bit numbers, and $P(n)$ is…

Computational Complexity · Computer Science 2015-04-22 Martin Farach-Colton , Meng-Tsung Tsai
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