Quantifying dissipation using fluctuating currents by Li, Junang, Horowitz, Jordan M, Gingrich, Todd R, Fakhri, Nikta

“…Probability currents can be inferred and utilized to indirectly quantify the entropy production rate, but this approach requires prohibitive amounts of data in high-dimensional systems. This curse of dimensionality can be partially mitigated by using the thermodynamic uncertainty relation to bound the entropy production rate using statistical fluctuations in the probability currents.…”
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Intelligent job shop scheduling via deep reinforcement learning over graphs by Zhang, Cong

“…One is high computation overhead due to the nature of computational inefficiency of the methods and the curse of dimensionality (the problem sizes). The other is that existing methods strongly depend on human expert experience for algorithm design, which is less automatic. …”
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A study of dimensionality reduction as subspace data embedding linked by multidimensional scaling by Wang, Wan Qiu

“…The first category is to mitigate the computational load and to address the Curse-of-Dimensionality, and the second category is to model the data spread or manifold. …”
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Find your neighbors (quickly!) by Wong, Wei Tian.

“…Therefore in recent years, the approximate nearest neighbor solution was proposed to mitigate the curse of dimensionality issue. These approximate algorithms are known to provide large speedups with a minor tradeoff between the loss of efficiency or accuracy. …”
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Efficient algorithms for Bayesian semi-parametric regression models by Zhao Kaifeng

“…They are known to be very flexible while overcoming the problem of ‘curse of dimensionality’, and thus find numerous applications in the fields of econometrics, bioinformatics, biomedicine and others. …”
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Numerically solving parametric families of high-dimensional Kolmogorov partial differential equations via deep learning by Berner, J, Dablander, M, Grohs, P

“…Most notably, our numerical observations and theoretical results also demonstrate that the proposed method does not suffer from the curse of dimensionality, distinguishing it from almost all standard numerical methods for PDEs.…”

The damped stochastic wave equation on post-critically finite fractals by Hambly, B, Yang, W

“…The fractal spaces that we work with always have spectral dimension less than 2, and show that this is the right analog of dimension to express the “curse of dimensionality” of the stochastic wave equation. …”

Integrative gene selection for classification of microarray data by Ong, Huey Fang, Mustapha, Norwati, Sulaiman, Md. Nasir

“…The main challenge in building this classification system is the curse of dimensionality problem. Thus, there is a considerable amount of studies on gene selection method for building effective classification models. …”
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An overview of outlier detection methods by Md. Sap, Mohd. Noor, Mohebi, Ehsan

“…In high dimensional datasets, it's very difficult to find outliers with the measure of distance or density methods, because in such spaces the data become sparse and the imagination of data distribution is also hard. So with the curse of dimensionality we discuss a cluster based method that examines the behavior of the data in low dimensional projection. …”
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An adapted cuckoo optimization algorithm and genetic algorithm approach to the university course timetabling problem by Wibowo, Antoni, Teoh, Chong Keat, Ngadiman, Mohd. Salihin

“…This algorithm includes features such as local random walk on discrete data which mimics the behavior of Lévy flights and an Elitism-based mechanism which echoes back the best candidate solutions and prevents the algorithm from plunging into a curse of dimensionality. The algorithm was tested on a problem instance gathered from a University in Malaysia and the results indicate that the proposed algorithm exhibits very promising results in terms of solution quality and computational speed when compared to genetic algorithms…”

Optimal decision policy development for hybrid MTS-MTO supply chains by Wang, Fengyu

“…Over multi-period planning horizon, the development of joint control policy faces the “curse of dimensionality” precluding an exhaustive search for the optimal policy in polynomial time. …”
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Deep Q-Learning Aided Energy-Efficient Caching and Transmission for Adaptive Bitrate Video Streaming Over Dynamic Cellular Networks by Junfeng Xie

“…Since the action space of the MDP is huge, to cope with the “curse of dimensionality”, linear approximation is integrated into the designed algorithm. …”
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Non-Uniform Embedding Scheme and Low-Dimensional Approximation Methods for Causality Detection by Angeliki Papana

“…The non-uniform embedding (NUE) scheme has been developed to address the “curse of dimensionality”, since the estimation relies on high-dimensional conditional mutual information (CMI) terms. …”
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Kinetic Theory Modeling and Efficient Numerical Simulation of Gene Regulatory Networks Based on Qualitative Descriptions by Francisco Chinesta, Morgan Magnin, Olivier Roux, Amine Ammar, Elias Cueto

“…The last equation is efficiently solved by considering a separated representation within the proper generalized decomposition framework that allows circumventing the so-called curse of dimensionality. Finally, model parameters can be added as extra-coordinates in order to obtain a parametric solution of the model.…”
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UAV Formation Shape Control via Decentralized Markov Decision Processes by Md Ali Azam, Hans D. Mittelmann, Shankarachary Ragi

“…As most decision-theoretic formulations suffer from the curse of dimensionality, we adapt an existing fast approximate dynamic programming method called <i>nominal belief-state optimization</i> (NBO) to approximately solve the formation control problem. …”
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Basic pathway decomposition of biochemical reaction networks within growing cells by Jay R. Walton, Paul A. Lindahl

“…The algorithm used to construct the set of basic pathways scales as a polynomial of the system size in contrast to the NP-hard algorithms employed in the traditional notions of solution named extreme pathways, elementary flux modes, MEMos, and MinSpan, and that therefore suffer from the curse of dimensionality. The basic pathways approach is applied to a metabolic network consisting of a simplified version of the TCA cycle coupled to glycolysis highlighting that each basic pathway has a readily understood chemical interpretation. …”
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An Adaptive-to-Model Test for Parametric Functional Single-Index Model by Lili Xia, Tingyu Lai, Zhongzhan Zhang

“…However, this kind of test suffers from the curse of dimensionality, resulting in slow convergence, especially for functional data with infinite dimensional features. …”
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An algorithm to create model file for Partially Observable Markov Decision Process for mobile robot path planning by Shripad V. Deshpande, R. Harikrishnan, Jahariah Sampe, Abhimanyu Patwa

“…The Partially Observable Markov Decision Process (POMDP), a mathematical framework for decision-making in uncertain environments suffers from the curse of dimensionality. There are various methods that can handle huge sizes of POMDP matrices to create approximate solutions, but no serious effort has been reported to effectively control the size of the POMDP matrices. …”
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Multi-Class Skin Lesions Classification Using Deep Features by Muhammad Usama, M. Asif Naeem, Farhaan Mirza

“…Lastly, optimal features were selected using moth flame optimization (MFO) to overcome the curse of dimensionality. This helped us in improving accuracy and efficiency of our model. …”
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Efficient machine learning of solute segregation energy based on physics-informed features by Zongyi Ma, Zhiliang Pan

“…Lumping many features together can give a decent accuracy but may suffer the curse of dimensionality. Here, we modeled the segregation energy with efficient machine learning using physics-informed features identified based on solid physical understanding. …”
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