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We define impulse response sequence in the set of all linear recurring sequences satisfying a linear recurrence relation of order $r$. The generating function and expression of the impulse response sequence are presented. Some identities of…

Combinatorics · Mathematics 2013-04-01 Tian-Xiao He

We present a small, formal language for specifying the behavior of simple console I/O programs. The design is driven by the concrete application case of testing interactive Haskell programs written by students. Specifications are…

Programming Languages · Computer Science 2025-06-27 Oliver Westphal , Janis Voigtländer

Deep Learning is proven to be an effective tool for modeling sequential data as shown by the success in Natural Language, Computer Vision and Signal Processing. Process Mining concerns discovering insights on business processes from their…

Machine Learning · Computer Science 2021-11-02 István Ketykó , Felix Mannhardt , Marwan Hassani , Boudewijn van Dongen

With the development of large language models, their ability to follow simple instructions has significantly improved. However, adhering to complex instructions remains a major challenge. Current approaches to generating complex…

Computation and Language · Computer Science 2025-02-28 Wei Liu , Yancheng He , Hui Huang , Chengwei Hu , Jiaheng Liu , Shilong Li , Wenbo Su , Bo Zheng

A broad range of nonlinear processes over networks are governed by threshold dynamics. So far, existing mathematical theory characterizing the behavior of such systems has largely been concerned with the case where the thresholds are…

Dynamical Systems · Mathematics 2013-05-21 Leon Chang , Jeffrey Cochran , Henning S. Mortveit , Siddharth Raval , Matthew Schroeder

We present a new algorithm for computing upper bounds on the number of executions of each program instruction during any single program run. The upper bounds are expressed as functions of program input values. The algorithm is primarily…

Programming Languages · Computer Science 2016-05-13 Pavel Čadek , Jan Strejček , Marek Trtík

Sequential activation of neurons is a common feature of network activity during a variety of behaviors, including working memory and decision making. Previous network models for sequences and memory emphasized specialized architectures in…

Neurons and Cognition · Quantitative Biology 2016-03-16 Kanaka Rajan , Christopher D Harvey , David W Tank

With the rise of data-centric process management paradigms, interdependent processes, such as artifacts or object lifecycles, form a business process through their interactions. Coordination processes may be used to coordinate these…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-16 Sebastian Steinau , Kevin Andrews , Manfred Reichert

Conditions are established under which the optimal control of processes having both absolutely continuous and singular (with respect to time) controls are equivalent to linear programs over a space of measures on the state and control…

Probability · Mathematics 2017-07-31 Thomas G. Kurtz , Richard H. Stockbridge

Graph generation with Machine Learning is an open problem with applications in various research fields. In this work, we propose to cast the generative process of a graph into a sequential one, relying on a node ordering procedure. We use…

Machine Learning · Statistics 2020-04-24 Davide Bacciu , Alessio Micheli , Marco Podda

Training autonomous agents that can learn new tasks from only a handful of demonstrations is a long-standing problem in machine learning. Recently, transformers have been shown to learn new language or vision tasks without any weight…

Machine Learning · Computer Science 2023-12-08 Sharath Chandra Raparthy , Eric Hambro , Robert Kirk , Mikael Henaff , Roberta Raileanu

Constraint Handling Rules (CHR) is a declarative rule-based formalism and language. Concurrency is inherent as rules can be applied to subsets of constraints in parallel. Parallel implementations of CHR, be it in software, be it in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-24 Thom Frühwirth , Daniel Gall

Studies of issues related to computability and computational complexity involve the use of a model of computation. Pivotal to such a model are the computational processes considered. Processes of this kind can be described using an…

Logic in Computer Science · Computer Science 2024-06-24 C. A. Middelburg

Teaching agile software development by pairing lectures with hands-on projects has become the norm. This approach poses the problem of grading and evaluating practical project work as well as process conformance during development. Yet, few…

Software Engineering · Computer Science 2018-09-05 Christoph Matthies , Thomas Kowark , Matthias Uflacker , Hasso Plattner

Modeling a sequence of design steps, or a sequence of parameter settings, yields a sequence of dynamical systems. In many cases, such a sequence is intended to approximate a certain limit case. However, formally defining that limit turns…

Logic in Computer Science · Computer Science 2013-07-30 P. J. L. Cuijpers

Sequential learning -- where complex tasks are broken down into simpler, hierarchical components -- has emerged as a paradigm in AI. This paper views sequential learning through the lens of low-rank linear regression, focusing specifically…

Machine Learning · Computer Science 2025-05-29 Mahtab Alizadeh Vandchali , Fangshuo , Liao , Anastasios Kyrillidis

Machine learning workflow development is anecdotally regarded to be an iterative process of trial-and-error with humans-in-the-loop. However, we are not aware of quantitative evidence corroborating this popular belief. A quantitative…

Machine Learning · Computer Science 2018-05-21 Doris Xin , Litian Ma , Shuchen Song , Aditya Parameswaran

Agile processes focus on facilitating early and fast production of working code, and are based on software development process models that support iterative, incremental development of software. Although agile methods have existed for a…

Software Engineering · Computer Science 2014-09-24 Dan Turk , Robert France , Bernhard Rumpe

Frequent sequence mining methods often make use of constraints to control which subsequences should be mined. A variety of such subsequence constraints has been studied in the literature, including length, gap, span, regular-expression, and…

Databases · Computer Science 2016-10-14 Kaustubh Beedkar , Rainer Gemulla

Behavior modeling and software architecture specification are attracting more attention in software engineering. Describing both of them in integrated models yields numerous advantages for coping with complexity since the models are…

Software Engineering · Computer Science 2019-07-30 Sabah Al-Fedaghi