Search Results - "TAMURA, Akihisa"
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Recent progress on integrally convex functions
Published in Japan journal of industrial and applied mathematics (01-09-2023)“…Integrally convex functions constitute a fundamental function class in discrete convex analysis, including M-convex functions, L-convex functions, and many…”
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Decomposition of an integrally convex set into a Minkowski sum of bounded and conic integrally convex sets
Published in Japan journal of industrial and applied mathematics (01-05-2024)“…Every polyhedron can be decomposed into a Minkowski sum (or vector sum) of a bounded polyhedron and a polyhedral cone. This paper establishes similar…”
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Discrete Fenchel duality for a pair of integrally convex and separable convex functions
Published in Japan journal of industrial and applied mathematics (01-05-2022)“…Discrete Fenchel duality is one of the central issues in discrete convex analysis. The Fenchel-type min–max theorem for a pair of integer-valued M ♮ -convex…”
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Scaling, proximity, and optimization of integrally convex functions
Published in Mathematical programming (01-05-2019)“…In discrete convex analysis, the scaling and proximity properties for the class of L ♮ -convex functions were established more than a decade ago and have been…”
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Directed discrete midpoint convexity
Published in Japan journal of industrial and applied mathematics (01-02-2021)“…For continuous functions, midpoint convexity characterizes convex functions. By considering discrete versions of midpoint convexity, several types of discrete…”
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Integrality of subgradients and biconjugates of integrally convex functions
Published in Optimization letters (01-02-2020)“…Integrally convex functions constitute a fundamental function class in discrete convex analysis. This paper shows that an integer-valued integrally convex…”
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Designing Matching Mechanisms under General Distributional Constraints
Published in American economic journal. Microeconomics (01-05-2017)“…To handle various applications, we study matching under constraints. The only requirement on the constraints is heredity; given a feasible matching, any…”
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Prediction of mobilized hematopoietic stem cell yield in patients with multiple myeloma: Usefulness of whole-body MRI-derived indices
Published in PloS one (31-03-2023)“…High-dose chemotherapy followed by autologous stem cell transplant is the mainstay of treatment for multiple myeloma (MM). The purpose of this study was to…”
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Trading networks with bilateral contracts
Published in EAI endorsed transactions on serious games (01-12-2016)“…We study production networks in which firms match and sign bilateral contracts. Firms can buy from and sell to one another directly or via intermediaries. It…”
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Sperner’s lemma and zero point theorems on a discrete simplex and a discrete simplotope
Published in Discrete Applied Mathematics (01-03-2012)“…We show two discrete zero point theorems that are derived from Sperner’s lemma and a Sperner-like theorem (van der Laan and Talman…”
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Shapley–Folkman-type theorem for integrally convex sets
Published in Discrete Applied Mathematics (15-01-2025)“…The Shapley–Folkman theorem is a statement about the Minkowski sum of (non-convex) sets, expressing the closeness of the Minkowski sum to convexity in a…”
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Multiple Myeloma: Microstructural Analysis of Lumbar Trabecular Bones in Patients without Visible Bone Lesions—Preliminary Results
Published in Radiology (01-08-2011)“…To evaluate the accuracy of trabecular analysis of the lumbar spine by using multidetector computed tomography (CT) in differentiating multiple myeloma…”
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Coordinatewise domain scaling algorithm for M-convex function minimization
Published in Mathematical programming (01-03-2005)“…We present a polynomial time scaling algorithm for the minimization of an M-convex function. M-convex functions are nonlinear discrete functions with…”
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SPECT/CT Fusion in the Diagnosis of Hyperparathyroidism
Published in Asia oceania journal of nuclear medicine and biology (01-01-2015)“…Objective(s): In this study, we aimed to analyze the relationship between the diagnostic ability of fused single photon emission computed tomography/ computed…”
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Designing matching mechanisms under constraints: An approach from discrete convex analysis
Published in Journal of economic theory (01-07-2018)“…We consider two-sided matching problems where agents on one side of the market (hospitals) are required to satisfy certain distributional constraints. We show…”
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Application of M-Convex submodular flow problem to mathematical economics
Published in Japan journal of industrial and applied mathematics (01-10-2003)“…This paper considers an economic model in which producers and consumers trade various indivisible commodities through a perfectly divisible commodity, money…”
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Proximity theorems of discrete convex functions
Published in Mathematical programming (01-04-2004)“…A proximity theorem is a statement that, given an optimization problem and its relaxation, an optimal solution to the original problem exists in a certain…”
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Strategyproof Allocation Mechanisms with Endowments and M-convex Distributional Constraints
Published in Artificial intelligence (01-02-2023)“…We consider an allocation problem of multiple types of objects to agents, where each type of object has multiple copies (e.g., multiple seats in a school),…”
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Bifurcation analysis of a simple 3D oscillator and chaos synchronization of its coupled systems
Published in Chaos, solitons and fractals (01-12-2012)“…Tamaševičius et al. proposed a simple 3D chaotic oscillator for educational purpose. In fact the oscillator can be implemented very easily and it shows typical…”
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A fair and truthful mechanism with limited subsidy
Published in Games and economic behavior (01-03-2024)“…The notion of envy-freeness is a natural and intuitive fairness requirement in resource allocation. With indivisible goods, such fair allocations are not…”
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