The missing item problem, as introduced by Stoeckl in his work at SODA 23, focuses on continually identifying a missing element e in a stream of elements e1, ..., e from the set {1, 2, ..., n}, such that e 6= ei for a...
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The heat and mass transport with Arrhenius activation energy has countless uses such as in nuclear reactors, the synthesis of chemical compounds, geothermal artificial lakes, and retrieval of thermal lubricants. The f...
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We discuss here an unsupervised method to detect spatio-temporal changes on multitemporal SAR images. We name it TR-WECS (Time-Referenced Wavelet Energies Correlation Screening). We have a series of SAR images taken o...
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Polarization sensitivity is a fundamental phenomenon observed in nature, and its application is vital for advancing scientific discoveries. Here, we present a microsphere-assisted polarized light microscopy method tha...
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Large Language Models (LLMs) are being employed by end-users for various tasks, including sensitive ones such as health counseling, disregarding potential safety concerns. It is thus necessary to understand how adequa...
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In this paper,we investigate the stable matching problem with multiple preferences in bipartite graphs,where each agent has various preference lists for all available partners with respect to different *** problem req...
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In this paper,we investigate the stable matching problem with multiple preferences in bipartite graphs,where each agent has various preference lists for all available partners with respect to different *** problem requires that each matched agent must have exactly one partner and the obtained matching should be stable for all *** our main contribution,we present an integer linear programming(ILP)model for determining whether there exists a globally stable matching in bipartite graphs,which has been proved to be *** the time consumed for solving ILPs might dramatically increase as the size of instances grows,we develop a preprocessing technique that helps to eliminate pairs that will never be a member of any globally stable matching and thus accelerates the computing *** perform experiments on randomly generated preference lists and observe a significant speedup when we preprocess the instance before solving the *** there does not need to exist a perfect matching that is stable for all given criteria,we extend our ILP to the optimized version of the aforementioned problem,which asks to find a matching with maximum cardinality that is stable among all matched agents.
Various physical systems relax mechanical frustration through configurational rearrangements. We examine such rearrangements via Hamiltonian dynamics of simple internally stressed harmonic four-mass systems. We demons...
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Various physical systems relax mechanical frustration through configurational rearrangements. We examine such rearrangements via Hamiltonian dynamics of simple internally stressed harmonic four-mass systems. We demonstrate theoretically and numerically how mechanical frustration controls the underlying potential energy landscape. Then, we examine the harmonic four-mass systems' Hamiltonian dynamics and relate the onset of chaotic motion to self-driven rearrangements. We show such configurational dynamics may occur without strong precursors, rendering such dynamics seemingly spontaneous.
The distance between two vertices u and v in a connected graph G is the number of edges lying in a shortest path(geodesic)between them.A vertex x of G performs the metric identification for a pair(u,v)of vertices in G...
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The distance between two vertices u and v in a connected graph G is the number of edges lying in a shortest path(geodesic)between them.A vertex x of G performs the metric identification for a pair(u,v)of vertices in G if and only if the equality between the distances of u and v with x implies that u=v(That is,the distance between u and x is different from the distance between v and x).The minimum number of vertices performing the metric identification for every pair of vertices in G defines themetric dimension of *** this paper,we performthemetric identification of vertices in two types of polygonal cacti:chain polygonal cactus and star polygonal cactus.
Personalized learning plays a critical role in enhancing educational outcomes by customizing experiences to meet individual learners' unique needs, preferences, and abilities. Although Large Language Models (LLMs)...
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ISBN:
(数字)9798331541699
ISBN:
(纸本)9798331541705
Personalized learning plays a critical role in enhancing educational outcomes by customizing experiences to meet individual learners' unique needs, preferences, and abilities. Although Large Language Models (LLMs) offer promising opportunities for personalization through natural language interactions, they face challenges related to maintaining long-term context and ensuring traceability of a learner's evolving knowledge. This paper introduces a composite AI framework that merges an LLM-powered conversational agent with Knowledge Graphs (KGs) structured according to Knowledge Space Theory (KST), enhanced by advanced retrieval tools and a robust long-term memory mechanism. This system autonomously orchestrates meaningful, context-aware dialogues while utilizing function calling to access various tools, effectively bridging the gap between dynamic interactions and structured knowledge representation. Our empirical evaluations indicate that the proposed system excels in maintaining coherent dialogues, accurately tracking learner progress, and providing reliable, personalized educational support. By addressing the limitations of standalone LLMs and traditional adaptive learning systems, this integrated approach signifies a notable advancement in intelligent educational technology.
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