Let 0 = 1;(c) there exists t >= 1 such that b(n)/a(n) = 2 and a(n) -> infinity, there exist theta and (b(n)) such that (a) and (b) are satisfied;whether (c) is also satisfied depends on the sequence (a(n)). Fina...
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Let 0 < theta <= 1. A sequence of positive integers (b(n))(n=1)(infinity) is called a weak greedy approximation of theta if Sigma(infinity)(n=1) 1/b(n) = theta. We introduce the weak greedy approximation algorithm (WGAA), which, for each theta, produces two sequences of positive integers (a(n)) and (b(n)) such that (a) Sigma(infinity)(n=1) 1/b(n) = theta;(b) 1/a(n+1) < theta - Sigma(n)(i=1) 1/b(i) < 1/(a(n+1) - 1) for all n >= 1;(c) there exists t >= 1 such that b(n)/a(n) <= t infinitely often. We then investigate when a given weak greedy approximation (b(n)) can be produced by the WGAA. Furthermore, we show that for any non-decreasing (a(n)) with a(1) >= 2 and a(n) -> infinity, there exist theta and (b(n)) such that (a) and (b) are satisfied;whether (c) is also satisfied depends on the sequence (a(n)). Finally, we address the uniqueness of theta and (b(n)) and apply our framework to specific sequences. (c) 2023 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
With continuous advancements in artificial intelligence(AI), automatic piano-playing robots have become subjects of cross-disciplinary interest. However, in most studies, these robots served merely as objects of obser...
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With continuous advancements in artificial intelligence(AI), automatic piano-playing robots have become subjects of cross-disciplinary interest. However, in most studies, these robots served merely as objects of observation with limited user engagement or interaction. To address this issue, we propose a user-friendly and innovative interaction system based on the principles of greedy algorithms. This system features three modules: score management, performance control, and keyboard interactions. Upon importing a custom score or playing a note via an external device, the system performs on a virtual piano in line with user inputs. This system has been successfully integrated into our dexterous manipulator-based piano-playing device, which significantly enhances user interactions.
During laboratory automation of life science experiments, coordinating specialized instruments and human experimenters for various experimental procedures is important to minimize the execution time. In particular, th...
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During laboratory automation of life science experiments, coordinating specialized instruments and human experimenters for various experimental procedures is important to minimize the execution time. In particular, the scheduling of life science experiments requires the consideration of time constraints by mutual boundaries (TCMB) and can be formulated as the "scheduling for laboratory automation in biology " (S-LAB) problem. However, existing scheduling methods for the S-LAB problems have difficulties in obtaining a feasible solution for large-size scheduling problems at a time sufficient for real-time use. In this study, we proposed a fast schedule-finding method for S-LAB problems, SAGAS (Simulated annealing and greedy algorithm scheduler). SAGAS combines simulated annealing and the greedy algorithm to find a scheduling solution with the shortest possible execution time. We have performed scheduling on real experimental protocols and shown that SAGAS can search for feasible or optimal solutions in practicable computation time for various S-LAB problems. Furthermore, the reduced computation time by SAGAS enables us to systematically search for laboratory automation with minimum execution time by simulating scheduling for various laboratory configurations. This study provides a convenient scheduling method for life science automation laboratories and presents a new possibility for designing laboratory configurations.
The optimal configuration of heliostat field is one of the key technologies in the design of tower solar collector system, and its layout and configuration directly affect the solar collector efficiency. This work pre...
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ISBN:
(纸本)9798350389555;9798350389548
The optimal configuration of heliostat field is one of the key technologies in the design of tower solar collector system, and its layout and configuration directly affect the solar collector efficiency. This work presents a novel optimisation strategy that combines genetic algorithm and greedy algorithm. The proposed strategy is developed by examining the constraints of conventional methods for optimising heliostat fields. The strategy uses the global search capability of genetic algorithm combined with the local optimal decision of greedy algorithm to improve the efficiency and performance of the fixed heliostat field configuration. Initially, the relevant mathematical model of the fixed heliostat field is established, and then on the basis of the genetic algorithm, the greedy algorithm is introduced to locally optimise the individuals in the population of each generation, so as to accelerate the speed of convergence and improve the quality of the solution. This research validates the feasibility and accuracy of the model and algorithm. Use python to conduct simulation experiment, showing the potential of the optimisation algorithm to be applied in the design of solar thermal collector systems.
In this paper, we consider the problem of optimizing lifetime consumption under a habit formation model, both with and without an exogenous pension. Unlike much of the existing literature, we apply a power utility to ...
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In this paper, we consider the problem of optimizing lifetime consumption under a habit formation model, both with and without an exogenous pension. Unlike much of the existing literature, we apply a power utility to the ratio of consumption to habit, rather than to their difference. The martingale/duality method becomes intractable in this setting, so we develop a greedy version of this method that is solvable using Monte Carlo simulation. We investigate the behavior of the greedy solution, and explore what parameter values make the greedy solution a good approximation to the optimal one.
With the rapid development of artificial intelligence and machine learning technologies, Automated Machine Learning (AutoML) has become a hot research area in recent years. Meta-learning plays an increasingly importan...
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ISBN:
(纸本)9789819756629;9789819756636
With the rapid development of artificial intelligence and machine learning technologies, Automated Machine Learning (AutoML) has become a hot research area in recent years. Meta-learning plays an increasingly important role in AutoML. Akey sub-problem-meta-learning from learning curves is an immature but gradually gaining attention are awithin the field ofmeta-learning. For instance, in MetaLC, the organizers designed a competition on meta-learning from learning curves, whose goal is to achieve the highest all-time performance, based on the algorithm's selection strategy learned by past learning curves. This competition aims to simulate the meta-learning process in an environment like reinforcement learning, where the strategies provided by the participants act as agents interacting with the environment. We innovatively propose a training strategy for agents called greedyAgent, based on an approximate greedy algorithm. After reducing the problem of meta-learning from learning curves to a 0-1 knapsack problem, we proved that our greedy method could replace the dynamic programming method to find an approximate optimal solution. In both the development phase and the final evaluation phase, our method achieved state-of-the-art in test results. We compared five baseline methods and selected representative cases for detailed analysis. The competition's second round has been accepted by the first AutoML Conference. Besides, our solution ranked 1st among the 14 methods participating in the competition. The code of our method has been released: https://***/dragonbra/MetaLC-2nd-Round.
The cultivation of agricultural products destined for human consumption has played a crucial role in the advancement of societies. Consequently, the cultivation of land is facilitated by the integration of various tec...
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ISBN:
(纸本)9783031628351;9783031628368
The cultivation of agricultural products destined for human consumption has played a crucial role in the advancement of societies. Consequently, the cultivation of land is facilitated by the integration of various technological advancements into tillage processes. The implementation of different areas of research and technologies have created what is called precision agriculture. In general, precision agriculture systems take information from different sources, which in most cases requires a process of filtering the information. When the source of the information is images, the filtering process in many cases requires a segmentation process to label the pixels of interest. In this work, we present a proposed greedy algorithm that seeks to highlight the color dominance present in the leaves and fruits of tomato plants to perform a segmentation process using two a parameters to optimize. Applying the alpha(1) = 3.2 and alpha(2) = 2.6 factors that emphasize color dominance obtained by the metaheuristic algorithm, the performance metrics Accuracy, Precision, Recall, F1-Score and IoU were used, achieving an average of 86% in fruit segmentation and 91% in leave segmentation.
The problem of maximizing submodular set functions has received increasing attention in recent years, and significant improvements have been made, particularly in relation to objective functions that satisfy monotonic...
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The problem of maximizing submodular set functions has received increasing attention in recent years, and significant improvements have been made, particularly in relation to objective functions that satisfy monotonic submodularity. However, in practice, the objective function may not be monotonically submodular. While greedy algorithms have strong theoretical guarantees for maximizing submodular functions, their performance is barely guaranteed for non-submodular functions. Therefore, in this paper, we investigate the problem of maximizing non-monotone nonsubmodular functions under knapsack constraints based on the problem of infectious diseases and provides a more sophisticated analysis through the idea of segmentation. Since our definition characterizes the function more elaborately, a better bound, i.e., a tighter approximation guarantee, is achieved. Finally, we generalize the relevant results for the more general problems.
Accurately estimating the distributed indoor thermal environmental parameters with limited sensors is crucial for indoor environmental quality and building energy efficiency. This study combines proper orthogonal deco...
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ISBN:
(纸本)9798350366907;9789887581581
Accurately estimating the distributed indoor thermal environmental parameters with limited sensors is crucial for indoor environmental quality and building energy efficiency. This study combines proper orthogonal decomposition and greedy algorithm for sensors layout's optimization in a large-space thermal environment. Firstly, choose the initial quantity and positions of sensors, and collect steady temperature field information based on the feasible range of environmental variables;Secondly, extract features from the collected dataset using proper orthogonal decomposition, and determine the optimal number of sensors based on the energy proportion of the ***;Thirdly, select the sensor positions iteratively based on the correlations of eigenvectors and sensors using greedy algorithm. A field experiment for performance validation is conducted using a matrix of 72 temperature sensors in a large cafeteria. By using the collected 27 snapshot datasets, the temperature field can be reconstructed by Linear Stochastic Estimation using only six optimal sensors (steady-state error: 0.2433, RMSE). The proposed POD-greedy optimization strategy is also compared with another heuristic inference method. The better performance shows great potential for engineering practice and applications.
This paper aims to implement a cloud-based monitoring DC microgrid system suitable for communities by integrating a simulated utility grid system (SUGS), battery energy storage system (BESS), solar power generation sy...
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ISBN:
(纸本)9798350351163;9798350351156
This paper aims to implement a cloud-based monitoring DC microgrid system suitable for communities by integrating a simulated utility grid system (SUGS), battery energy storage system (BESS), solar power generation system (SPGS), and cloud-based front-end monitoring interface and technology. Additionally, the paper utilizes Long Short-Term Memory (LSTM) model to predict the next day's load curve and employs a solar simulator to simulate the daily variations in solar irradiance. Furthermore, to enhance economic benefits during peak and off-peak time-of-use (TOU) pricing periods, this paper adopts the concept of local selection using a greedy algorithm to optimize energy allocation between SUGS, BESS, and SPGS through cloud computing. Finally, a derating case study is conducted through simulations and experiments to verify the economic value and feasibility of the proposed greedy algorithm in a community-based DC microgrid.
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