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The following is an exposition of a course of algebra that Prof. Aleksandr Aleksandrovich Zykov (1922-2013) distributed among the participants of his seminar in graph theory not far away from Odessa, Ukraine, on September, 1991. It is a…

History and Overview · Mathematics 2025-05-27 Carlos E. Frasser

These are notes for lectures presented at the University of Stuttgart that provide an introduction to key concepts and techniques in AI Planning. Artificial Intelligence Planning, also known as Automated Planning, emerged somewhere in 1966…

Artificial Intelligence · Computer Science 2024-12-17 Marco Aiello , Ilche Georgievski

This set of notes is based on a lecture I gave at "50 years of Finite Geometry | A conference on the occasion of Jef Thas's 70th birthday," in November 2014. It consists essentially of three parts: in a first part, I introduce some ideas…

Algebraic Geometry · Mathematics 2015-08-18 Koen Thas

We study here schedulers for a class of rules that naturally arise in the context of rule-based constraint programming. We systematically derive a scheduler for them from a generic iteration algorithm of [Apt 2000]. We apply this study to…

Data Structures and Algorithms · Computer Science 2007-05-23 Sebastian Brand , Krzysztof R. Apt

In this paper, we study the active time scheduling problem. We are given n jobs with integral processing times each of which has an integral release time and deadline. The goal is to schedule all the jobs on a machine that can work on b…

Computational Complexity · Computer Science 2021-12-07 Sagnik Saha , Manish Purohit

Conference paper assignment, i.e., the task of assigning paper submissions to reviewers, presents multi-faceted issues for recommender systems research. Besides the traditional goal of predicting `who likes what?', a conference management…

Information Retrieval · Computer Science 2009-06-23 Don Conry , Yehuda Koren , Naren Ramakrishnan

This article gathers notes of two lectures given at Grenoble's University in June $2023$, and is an introduction to recent works on shear layers, in collaboration with D. Bian, Y. Guo, T. Nguyen and B. Pausader.

Analysis of PDEs · Mathematics 2023-12-29 Dongfen Bian , Emmanuel Grenier

The scheduling problem is a key class of optimization problems and has various kinds of applications both in practical and theoretical scenarios. In the scheduling problem, probabilistic analysis is a basic tool for investigating…

Information Theory · Computer Science 2024-01-30 Daiki Suruga

In their seminal paper that initiated the field of algorithmic mechanism design, \citet{NR99} studied the problem of designing strategyproof mechanisms for scheduling jobs on unrelated machines aiming to minimize the makespan. They provided…

Computer Science and Game Theory · Computer Science 2022-09-12 Eric Balkanski , Vasilis Gkatzelis , Xizhi Tan

Vector search and retrieval-augmented generation (RAG) rest on the assumption that cosine similarity between text embeddings reflects conceptual relatedness. We measure where this assumption breaks. We build an augmented citation graph over…

Information Retrieval · Computer Science 2026-05-11 Junseon Yoo

Serving systems for Large Language Models (LLMs) improve throughput by processing several requests concurrently. However, multiplexing hardware resources between concurrent requests involves non-trivial scheduling decisions. Practical…

Machine Learning · Computer Science 2025-01-29 Ferdi Kossmann , Bruce Fontaine , Daya Khudia , Michael Cafarella , Samuel Madden

In 1993, just about a century after the epoch of Classical Invariant Theory and almost 30 years after Mumford's seminal book on Geometric Invariant Theory, Bernd Sturmfels approached the subject from a new, algorithmic perspective in his…

Commutative Algebra · Mathematics 2024-03-20 Gregor Kemper

Scheduling languages express to a compiler a sequence of optimizations to apply. Compilers that support a scheduling language interface allow exploration of compiler optimizations, i.e., exploratory compilers. While scheduling languages…

Programming Languages · Computer Science 2024-10-29 Mary Hall , Cosmin Oancea , Anne C. Elster , Ari Rasch , Sameeran Joshi , Amir Mohammad Tavakkoli , Richard Schulze

Scheduling problems are a fundamental class of combinatorial optimization problems that underpin operational efficiency in manufacturing, logistics, and service systems. While operations research has traditionally developed solver-centric…

Optimization and Control · Mathematics 2026-02-03 Anbang Liu , Shaochong Lin , Jingchuan Chen , Peng Wu , Zuojun Max Shen

This is the text of my report presented at the 29th Solvay Conference on Physics on `The Structure and Dynamics of Disordered Systems' held in Bruxelles from October 19 to 21, 2023. I consider the problem of minimizing a random energy…

Disordered Systems and Neural Networks · Physics 2024-01-23 Andrea Montanari

The present notes are based on a course given by J-P.Serre at ENSJF in 1978/79 on the elementary properties of finite groups. They were first written down by M.Buhler and C.Goldstein (Montrouge 1979), then revised and put in LaTeX by…

Group Theory · Mathematics 2008-06-09 J. -P. Serre

Industrial timetabling is a critical task for decision-makers across various sectors to ensure efficient system operation. In real-world settings, it remains challenging because unexpected events often disrupt execution. When such events…

Human-Computer Interaction · Computer Science 2026-01-13 Kévin Ducharlet , Liwen Zhang , Sara Maqrot , Houssem Saidi

One of the basic tasks which is responded for head of each university department, is employing lecturers based on some default factors such as experience, evidences, qualifies and etc. In this respect, to help the heads, some automatic…

Artificial Intelligence · Computer Science 2013-08-05 Shervan Fekri-Ershad , Hadi Tajalizadeh , Shahram Jafari

The manpower scheduling problem is a critical research field in the resource management area. Based on the existing studies on scheduling problem solutions, this paper transforms the manpower scheduling problem into a combinational…

Artificial Intelligence · Computer Science 2021-05-12 Lingyu Zhang , Tianyu Liu , Yunhai Wang

The evolution in the design of modern parallel platforms leads to revisit the scheduling jobs on distributed heterogeneous resources. The goal of this survey is to present the main existing algorithms, to classify them based on their…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-31 Olivier Beaumont , Louis-claude Canon , Lionel Eyraud-Dubois , Giorgio Lucarelli , Loris Marchal , Clément Mommessin , Bertrand Simon , Denis Trystram