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  1. Book Series

    Oberwolfach Seminars

    Volume 2 / 1981 to Volume 54 / 2024

  2. Book Series

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    Chapter and Conference Paper

    On 1-Skeleton of the Cut Polytopes

    Given an undirected graph \(G = (V,E)\) G = ( ...

    Andrei V. Nikolaev in Mathematical Optimization Theory and Operations Research (2024)

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    Book

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    Chapter and Conference Paper

    Branching Algorithms for the Reliable Production Process Design Problem

    In the well-known Subgraph Homeomorphism Problem (SHP), it is required to make a homeomorphic embedding of some pattern digraph \(\varPi \) ...

    Roman Rudakov, Yuri Ogorodnikov in Mathematical Optimization Theory and Opera… (2024)

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    Chapter and Conference Paper

    Stochastic Greedy Algorithms for a Temporal Bin Packing Problem with Placement Groups

    The paper considers a temporal bin packing problem, where bins are servers using the Non-Uniform Memory Access architecture, and items are virtual machines. Bins are grouped together into racks. The main diffe...

    Alexander Turnaev, Artem Panin in Mathematical Optimization Theory and Operations Research (2024)

  7. Chapter

    Maximum Likelihood

    In Chapter 2, we discussed the problem of minimizing the Euclidean distance from a data point u to a model X in \(\mathbb{R}^{n}\) that...

    Paul Breiding, Kathlén Kohn, Bernd Sturmfels in Metric Algebraic Geometry (2024)

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    Chapter and Conference Paper

    Potential Game in General Transport Network with Symmetric Externalities

    The paper considers a model of a general transport network and BPR linear delay functions with externalities. We consider the case where the impact of channel loads to the delay is pairwise symmetric. For this...

    Julia V. Chirkova in Mathematical Optimization Theory and Operations Research (2024)

  9. Chapter

    Computer Vision

    The field of computer vision studies how computers can gain understanding from images and videos, similar to human cognitive abilities. One of the classical challenges is to reconstruct a 3D object from images...

    Paul Breiding, Kathlén Kohn, Bernd Sturmfels in Metric Algebraic Geometry (2024)

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    Chapter and Conference Paper

    Differential Network Games with Different Types of Players Behavior

    In the paper, a cooperative differential network game with infinite duration in which players follow different types of behavior (to cooperate or to act individually in their own interests) is considered. As s...

    Leon Petrosyan, Yaroslavna Pankratova in Mathematical Optimization Theory and Opera… (2024)

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    Chapter and Conference Paper

    UCB Strategies in a Gaussian Two-Armed Bandit Problem

    We consider the two-armed bandit problem in the application to batch data processing if there are two alternative processing methods with different a priori unknown efficiencies, and income is understood as su...

    Alexander Kolnogorov in Mathematical Optimization Theory and Operations Research (2024)

  12. Chapter

    Sampling

    In this book, we studied the metric geometry of algebraic varieties from an applied and computational perspective. We now add probability theory into this mix. This chapter is about sampling from a real variety X

    Paul Breiding, Kathlén Kohn, Bernd Sturmfels in Metric Algebraic Geometry (2024)

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    Chapter and Conference Paper

    Dynamic Stability of Coalition Structures in Network-Based Pollution Control Games

    This paper investigates the dynamics of coalition stability in pollution control games that are built on networks. It specifically focuses on the concept of dynamically stable coalition partitions involving th...

    Jiang**g Zhou in Mathematical Optimization Theory and Operations Research (2024)

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    Chapter

    Some Wavelet Transforms

    The Haar wavelet transform is a foundational technique. It is a first example of wavelet techniques to decompose data to its coarse and detail components. We present the foundation of this algorithm, worked ex...

    Peter Zizler, Roberta La Haye in Linear Algebra in Data Science (2024)

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    Chapter

    Projections

    The concept of projection is a fundamental tool in data science. It is the idea behind data reduction and compression. We provide a careful introduction to projections and projection matrices, in particular, w...

    Peter Zizler, Roberta La Haye in Linear Algebra in Data Science (2024)

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    Chapter and Conference Paper

    A Unified Framework of Multi-stage Multi-winner Voting: An Axiomatic Exploration

    Multi-winner voting plays a crucial role in selecting representative committees based on voter preferences. Previous research has predominantly focused on single-stage voting rules, which are susceptible to ma...

    Shengjie Gong, Lingxiao Huang in Mathematical Optimization Theory and Opera… (2024)

  17. Chapter

    Critical Equations

    The following optimization problem arises in many applications, and we shall revisit it again and again throughout this book.

    Paul Breiding, Kathlén Kohn, Bernd Sturmfels in Metric Algebraic Geometry (2024)

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    Chapter

    Rotations and Quaternions

    Rotations and quaternions are not a data science concept. However, they are an excellent excuse for examining the utility of matrix transformations. The normed division algebra of quaternions is introduced, mo...

    Peter Zizler, Roberta La Haye in Linear Algebra in Data Science (2024)

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    Chapter and Conference Paper

    Automated and Automatic Systems of Management of an Optimization Programs Package for Decisions Making

    It is known that, in spite of a large number of methods for numerical solutions to various classes of problems, the choice of the most efficient method for solving a particular problem under specific values of...

    Aidazade Kamil, Samir Quliyev in Mathematical Optimization Theory and Operations Research (2024)

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    Chapter and Conference Paper

    Stadium Antennas Deployment Optimization

    The stadium is divided into sectors. Each sector is split into cells. Users in the cells must be provided with a certain quality of signal from antennas assigned to their sector. Our goal is to select antenna ...

    Alexander Yuskov, Igor Kulachenko in Mathematical Optimization Theory and Opera… (2024)

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