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Showing 1 to 20 of 22 for “"Submodularity"”.

  1. Learning in Human and Robot Search: Subgoal, Submodularity, and Sparsity

    Search is an essential technology for various robotic applications and it is also central to human daily activities. Searching for targets efficiently consists of NP-hard problems, but young children can search for targets very efficiently . How humans search for targets efficiently is still a …

    umn Repository record for Learning in Human and Robot Search: Subgoal, Submodularity, and Sparsity (opens in a new tab)

  2. Flows, Submodularity, Sparsity, and Beyond: Continuous Optimization Insights for Discrete Problems

    In this thesis we build on connections between discrete and continuous optimization. In the first part of the thesis we propose faster second-order convex optimization algorithms for classical graph algorithmic problems. Our main contribution is to show that the runtime of interior point methods is …

    mit Repository record for Flows, Submodularity, Sparsity, and Beyond: Continuous Optimization Insights for Discrete Problems (opens in a new tab)

  3. Optimal transport in structured domains : algorithms and applications

    … generalization of the cost objective based on submodularity is proposed.

    mit Repository record for Optimal transport in structured domains : algorithms and applications (opens in a new tab)

  4. Efficient and robust resource allocation for network function virtualization

    … theory and utilize the property of sequence submodularity along with the primal-dual technique to design two approximation algorithms. Finally, we perform extensive trace-driven simulations to show the effectiveness of the proposed algorithms. While the NFV paradigm offers great flexibility …

    temple Repository record for Efficient and robust resource allocation for network function virtualization (opens in a new tab)

  5. A reformulated approach to attribute-aware sampling on large networks

    … of a previous work and take advantage of the submodularity property to reduce the computation that needs to be done when selecting a node and make some arguments about the efficiency and effectiveness of such a strategy. We test our algorithm on some real world data sets and found that our …

    uiuc Repository record for A reformulated approach to attribute-aware sampling on large networks (opens in a new tab)

  6. M♮-convexity, S-convexity, and their applications in operations

    … of the optimal solutions or preservation of submodularity under the optimization operations. Yet, this task is challenging because the classical and commonly used results in lattice programming, applicable to optimization models with supermodular objective function maximization, does not …

    uiuc Repository record for M♮-convexity, S-convexity, and their applications in operations (opens in a new tab)

  7. The Sum-Product Theorem and its Applications

    … Third, I combine decomposability with submodularity to define submodular field grammars (SFGs), a novel class of probabilistic models that extends both sum-product networks and submodular Markov random fields. SFGs define a novel stochastic image grammar in which each object in the …

    washington Repository record for The Sum-Product Theorem and its Applications (opens in a new tab)

  8. Focused active inference

    … a technical diminishing returns condition called submodularity, which is typically used to bound the performance of greedy selection. This thesis introduces the concept of submodular relaxations, which can be used to generate online-computable performance bounds, and analyzes the class of optimal …

    mit Repository record for Focused active inference (opens in a new tab)

  9. Assortment and inventory optimization : from predictive choice models to near-optimal algorithms

    … structural properties, such as weak notions of submodularity. Building on these findings, we develop efficient and yet conceptually-simple approximation algorithms for common parametric and nonparametric choice models. Among notable results, we provide best-possible approximations under general …

    mit Repository record for Assortment and inventory optimization : from predictive choice models to near-optimal algorithms (opens in a new tab)

  10. Stochastic Programming Approaches to Multi-product Inventory Management Problems with Substitution

    … necessary optimality conditions, prove the submodularity of the profit function, develop polynomial-time approximation algorithms, and show their performance guarantees. Our numerical investigation demonstrates the effectiveness of the proposed algorithms and, furthermore, reveals several …

    vt Repository record for Stochastic Programming Approaches to Multi-product Inventory Management Problems with Substitution (opens in a new tab)

  11. Finding Interesting Subgraphs with Guarantees

    … complexity, convex optimization, and submodularity optimization. These techniques are well-known in the algorithm design literature, but they lead to slow and impractical algorithms. One unifying theme in the problems that we study is that our methods are scalable without sacrificing …

    vt Repository record for Finding Interesting Subgraphs with Guarantees (opens in a new tab)

  12. Feasibility optimality of periodwise static priority policies for a quality of service model in wireless networks and convergence analysis for an online recommendation system

    … Our approach proceeds by investigating the submodularity of the complement of the idle time function. We thereby show that the set defined by the timely-throughput constraints is a polymatroid, from which the optimality within the class of periodwise static priority poli- cies follows. The …

    uiuc Repository record for Feasibility optimality of periodwise static priority policies for a quality of service model in wireless networks and convergence analysis for an online recommendation system (opens in a new tab)

  13. Submodular Optimization in Multi-Robot Teams: Robustness, Resilience, and Decentralization

    … constraints. By utilizing the properties of submodularity, we aim to develop a solution with performance guarantees. This motivating example demonstrates how to use a submodular function and matroids to model and solve decision-making problems in multi-robot systems. Based on this framework, …

    vt Repository record for Submodular Optimization in Multi-Robot Teams: Robustness, Resilience, and Decentralization (opens in a new tab)

  14. Statistical models and decision making for robotic scientific information gathering

    … periodic secretary algorithm by leveraging the submodularity of the information-theoretic reward function. Finally, we demonstrate the robustness of the proposed approach by employing the periodic secretary algorithm to select samples irrevocably from a seven-year oceanographic data stream …

    woods-hole Repository record for Statistical models and decision making for robotic scientific information gathering (opens in a new tab)

  15. Statistical models and decision making for robotic scientific information gathering

    … periodic secretary algorithm by leveraging the submodularity of the information-theoretic reward function. Finally, we demonstrate the robustness of the proposed approach by employing the periodic secretary algorithm to select samples irrevocably from a seven-year oceanographic data stream …

    mit Repository record for Statistical models and decision making for robotic scientific information gathering (opens in a new tab)

  16. Stochastic singular control: existence, characterization and approximation of solutions in cost minimization problems and games

    … relation on the state and measure space. The submodularity assumption allows us to prove existence of solutions via an application of Tarski's fixed point theorem, covering cases with discontinuous dependence on the measure variable. Also, it ensures that the set of solutions enjoys a lattice …

    bielefeld Repository record for Stochastic singular control: existence, characterization and approximation of solutions in cost minimization problems and games (opens in a new tab)

  17. Choice modeling and recommendation optimization in presence of context effects

    … verifiable conditions for the monotonicity and submodularity of the assortment optimization objective in order to provide some approximation guarantees. Second, we propose a utility based listwise logistic regression model, which is applicable in estimating the context effects in dense data sets …

    uiuc Repository record for Choice modeling and recommendation optimization in presence of context effects (opens in a new tab)

  18. Parsimonious, Risk-Aware, and Resilient Multi-Robot Coordination

    … by means of submodular function optimization. Submodularity encodes the diminishing returns property that arises in multi-robot coordination. For example, the marginal gain of assigning an additional robot to track the same target diminishes as the number of robots assigned increases. The …

    vt Repository record for Parsimonious, Risk-Aware, and Resilient Multi-Robot Coordination (opens in a new tab)

  19. LOG-SUPERMODULARITY OF WEIGHT FUNCTIONS AND THE LOADING MONOTONICITY OF WEIGHTED INSURANCE PREMIUMS

    The thesis is motivated by a problem concerning the monotonicity of insurance premiums with respect to their loading parameter: the larger the parameter, the larger the insurance premium is expected to be. This property, usually called loading monotonicity, is satisfied by premiums that appear in …

    uwo Repository record for LOG-SUPERMODULARITY OF WEIGHT FUNCTIONS AND THE LOADING MONOTONICITY OF WEIGHTED INSURANCE PREMIUMS (opens in a new tab)

  20. Algorithms for interactive, distributed and networked systems

    In recent years, massive growth in internet usage has spurred the emergence of complex large-scale networking systems to serve growing user bases, bandwidth and computation requirements. For example, data center facilities -- workhorses of today's internet -- have evolved to house upward of several …

    uiuc Repository record for Algorithms for interactive, distributed and networked systems (opens in a new tab)

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