Task Embedded Coordinate Update: A Realizable Framework for Multivariate Non-Convex Optimization

We in this paper propose a realizable framework TECU, which embeds task-specific strategies into update schemes of coordinate descent, for optimizing multivariate non-convex problems with coupled objective functions. On one hand, TECU is capable of improving algorithm efficiencies through embedding productive numerical algorithms, for optimizing univariate sub-problems with nice properties. From the other side, it also augments probabilities to receive desired results, by embedding advanced techniques in optimizations of realistic tasks. Integrating both numerical algorithms and advanced techniques together, TECU is proposed in a unified framework for solving a class of non-convex problems. Although the task embedded strategies bring inaccuracies in sub-problem optimizations, we provide a realizable criterion to control the errors, meanwhile, to ensure robust performances with rigid theoretical analyses. By respectively embedding ADMM and a residual-type CNN in our algorithm framework, the experimental results verify both efficiency and effectiveness of embedding task-oriented strategies in coordinate descent for solving practical problems.

A cyclic coordinate-update fixed point algorithm

We prove that a cyclic coordinate fixed point algorithm for nonexpansive mappings when the underlying Hilbert space is decomposed into a Cartesian product of finitely many block spaces is weakly convergent to a fixed point of the mapping under investigation. Our result relaxes a condition imposed on the stepsizes of Theorem 3.4 of Chow, et al [Chow, Y. T., Wu, T. and Yin, W., Cyclic coordinate-update algorithms for fixed-point problems: analysis and applcations, SIAM J. Sci. Comput., 39 (2017), No. 4, A1280–A1300].

Coordinating Information System for Tuna Fishing Area Prediction for Fishermen

One of the products of Indonesia's fishery is Tuna. To overcome the increasing demand of the world market, the Ministry of Marine Affairs and Fisheries provides routine information on map information on potential zones of fish, especially Tuna. However, for some fishermen it is relatively difficult to access the map because it requires the internet, so it becomes an obstacle in disseminating information on this fish potential zone map. From the above problems, such as the lack of knowledge of fishermen regarding the condition of the location of tuna points, while the current information is relatively difficult to obtain for some fishermen, so it is necessary to develop a "Coordinating Information System for Tuna Fish Estimates for Fishermen". With this system, it can make it easier for fishermen to subscribe to tuna fish coordinate update information either through the website or via SMS. The method used to determine the coordinates of the fish on the PDPI map is to use image processing with the medium scaling method SMS was chosen because it is one of the media for transferring information that is widely used among middle to lower income fishermen. From the results of testing and analysis of software. digital coordinates can run with an average reading duration of 31.651 seconds. The map error tolerance for longitude is 1099,591 meters and for latitude is 1401,939 meters.