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This paper studies a scheduling problem in a parallel machine setting, where each machine must adhere to a predetermined fixed order for processing the jobs. Given $n$ jobs, each with processing times and deadlines, we aim to minimize the…

Data Structures and Algorithms · Computer Science 2025-05-16 Andre Berger , Arman Rouhani , Marc Schröder

Statistical static timing analysis deals with the increasing variations in manufacturing processes to reduce the pessimism in the worst case timing analysis. Because of the correlation between delays of circuit components, timing model…

Hardware Architecture · Computer Science 2017-05-16 Bing Li , Ning Chen , Manuel Schmidt , Walter Schneider , Ulf Schlichtmann

In this work I present a generalization of Amdahl's law on the limits of a parallel implementation with many processors. In particular I establish some mathematical relations involving the number of processors and the dimension of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Gianluca Argentini

Software is now ubiquitous and involved in complex interactions with the human users and the physical world in so-called cyber-physical systems where the management of time is a major issue. Separation of concerns is a key asset in the…

Logic in Computer Science · Computer Science 2018-10-24 Mathieu Montin , Marc Pantel

In this paper, we develop a new and effective approach to nonparametric quantile regression that accommodates ultrahigh-dimensional data arising from spatio-temporal processes. This approach proves advantageous in staving off computational…

Methodology · Statistics 2024-05-27 Soudeep Deb , Claudia Neves , Subhrajyoty Roy

Many applications -- from planning and scheduling to problems in molecular biology -- rely heavily on a temporal reasoning component. In this paper, we discuss the design and empirical analysis of algorithms for a temporal reasoning system…

Artificial Intelligence · Computer Science 2016-08-31 P. vanBeek , D. W. Manchak

With the increasing capabilities of Large Language Models (LLMs), parallel reasoning has emerged as a new inference paradigm that enhances reasoning robustness by concurrently exploring multiple lines of thought before converging on a final…

Computation and Language · Computer Science 2025-10-15 Ziqi Wang , Boye Niu , Zipeng Gao , Zhi Zheng , Tong Xu , Linghui Meng , Zhongli Li , Jing Liu , Yilong Chen , Chen Zhu , Hua Wu , Haifeng Wang , Enhong Chen

Arguments about correctness of a concurrent data structure are typically carried out by using the notion of linearizability and specifying the linearization points of the data structure's procedures. Such arguments are often cumbersome as…

Logic in Computer Science · Computer Science 2017-01-19 Germán Andrés Delbianco , Ilya Sergey , Aleksandar Nanevski , Anindya Banerjee

We introduce LAMP: the Linear Additive Markov Process. Transitions in LAMP may be influenced by states visited in the distant history of the process, but unlike higher-order Markov processes, LAMP retains an efficient parametrization. LAMP…

Machine Learning · Computer Science 2017-04-06 Ravi Kumar , Maithra Raghu , Tamas Sarlos , Andrew Tomkins

There is a well established theory that links semi-Markov chains having Mittag-Leffler waiting times to time-fractional equations. We here go beyond the semi-Markov setting, by defining some non-Markovian chains whose waiting times,…

Probability · Mathematics 2024-12-20 Lorenzo Facciaroni , Costantino Ricciuti , Enrico Scalas , Bruno Toaldo

This paper investigates the non-clairvoyant parallel machine scheduling problem with prediction, with the objective of minimizing the makespan. Improved lower bounds for the problem and competitive ratios of online algorithms with respect…

Data Structures and Algorithms · Computer Science 2025-04-16 Tianqi Chen , Zhiyi Tan

Superposition of sigmoid function over a finite time interval is shown to be equivalent to the linear combination of the solutions of a linearly parameterized system of logistic differential equations. Due to the linearity with respect to…

Optimization and Control · Mathematics 2016-09-07 Ivan Tyukin , Cees van Leeuwen , Danil Prokhorov

Agents that plan and act in the real world must deal with the fact that time passes as they are planning. When timing is tight, there may be insufficient time to complete the search for a plan before it is time to act. By commencing…

Artificial Intelligence · Computer Science 2023-03-07 Amihay Elboher , Ava Bensoussan , Erez Karpas , Wheeler Ruml , Shahaf S. Shperberg , Solomon E. Shimony

Temporal planning is an extension of classical planning involving concurrent execution of actions and alignment with temporal constraints. Durative actions along with invariants allow for modeling domains in which multiple agents operate in…

Artificial Intelligence · Computer Science 2023-07-25 Marco De Bortoli , Lukáš Chrpa , Martin Gebser , Gerald Steinbauer-Wagner

We prove that parallel processing with homogeneous processors is logically equivalent to fast serial processing. The reverse proposition can also be used to identify obscure opportunities for applying parallelism. To our knowledge, this…

Performance · Computer Science 2020-10-05 Neil J. Gunther

Recently, the possible existence of quantum processes with indefinite causal order has been extensively discussed, in particular using the formalism of process matrices. Here we give a new perspective on this question, by establishing a…

In this paper, we establish a spatial central limit theorem for a large class of supercritical branching, not necessarily symmetric, Markov processes with spatially dependent branching mechanisms satisfying a second moment condition. This…

Probability · Mathematics 2014-04-02 Yan-Xia Ren , Renming Song , Rui Zhang

In the context of Markov decision processes running in continuous time, one of the most intriguing challenges is the efficient approximation of finite horizon reachability objectives. A multitude of sophisticated model checking algorithms…

Systems and Control · Computer Science 2015-08-03 Yuliya Butkova , Hassan Hatefi , Holger Hermanns , Jan Krcal

Evidence often grounds temporal probabilistic relational models over time, which makes reasoning infeasible. To counteract groundings over time and to keep reasoning polynomial by restoring a lifted representation, we present temporal…

Artificial Intelligence · Computer Science 2019-11-19 Marcel Gehrke , Ralf Möller , Tanya Braun

Semantic equivalences are used in process algebra to capture the notion of similar behaviour, and this paper proposes a semi-quantitative equivalence for a stochastic process algebra developed for biological modelling. We consider…

Computational Engineering, Finance, and Science · Computer Science 2011-09-08 Vashti Galpin , Jane Hillston , Federica Ciocchetta