Using function approximation for personalized point-of-interest recommendation
TL;DR: A method to automatically adjust the weights according to users personal preference is proposed, where the Chebyshev polynomial approximation method using binary values is applied and it is shown that the new approach can make a good balance of weighting the two factors therefore providing better recommendation.
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Abstract: Point-of-interest (POI) recommender system encourages users to share their locations and social experience through check-ins in online location-based social networks. A most recent algorithm for POI recommendation takes into account both the location relevance and diversity. The relevance measures users personal preference while the diversity considers location categories. There exists a dilemma of weighting these two factors in the recommendation. The location diversity is weighted more when a user is new to a city and expects to explore the city in the new visit. In this paper, we propose a method to automatically adjust the weights according to users personal preference. We focus on investigating a function between the number of location categories and a weight value for each user, where the Chebyshev polynomial approximation method using binary values is applied. We further improve the approximation by exploring similar behavior of users within a location category. We conduct experiments on five real-world datasets, and show that the new approach can make a good balance of weighting the two factors therefore providing better recommendation.
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Figures

Table 1: Sample of User Check-in Sequences 
Fig. 1: The trend for users to explore location categories over time 
Table 2: Statistics of the check-in data 
Fig. 4: Performance of forecasting category numbers for three users in Austin 
Fig. 3: Overall performance of forecasting category numbers 
Fig. 7: Effect of Varying Number of Chebyshev Polynomials
Citations
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Multi-objective item evaluation for diverse as well as novel item recommendations
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Tourism recommendation system: a survey and future research directions
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Crowd management COVID-19.
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