Sparse Regularization With Reverse Sorted Sum of Squares via an Unrolled Difference-of-Convex Approach by Takayuki Sasaki, Kazuya Hayase, Masaki Kitahara, Shunsuke Ono

“…These include developing an algorithm grounded in theory, not heuristics, reducing computational complexity, enabling the automatic determination of numerous parameters, and ensuring the number of iterations remains feasible. …”
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Quantum Merlin-Arthur proof systems for synthesizing quantum states by Hugo Delavenne, François Le Gall, Yupan Liu, Masayuki Miyamoto

“…Complexity theory typically focuses on the difficulty of solving computational problems using classical inputs and outputs, even with a quantum computer. …”
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A Survey of Noninteractive Zero Knowledge Proof System and Its Applications by Huixin Wu, Feng Wang

“…Zero knowledge proof system which has received extensive attention since it was proposed is an important branch of cryptography and computational complexity theory. Thereinto, noninteractive zero knowledge proof system contains only one message sent by the prover to the verifier. …”
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ESTIMATING THE PROPERTIES OF TECHNOLOGICAL SYSTEMS BASED ON FUZZY SETS by Vladimir Beskorovainyi, Heorhii Berezovskyi

“…As a result of the analysis of known membership functions for fuzzy sets, it has been established that they do not adequately reflect the preferences of the decision-maker for the characteristics of systems close to extreme values and have a relatively high computational complexity. The proposed membership function and its calculation method make it possible to increase the adequacy of multifactorial estimation models and significantly reduce the time complexity of procedures for calculating its values. …”
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A new approach for solving fuzzy non-linear equations using higher order iterative method by Srilakshmi Katuri, Prashanth Maroju

“…Abstract This manuscript presents a novel multi-step, tenth-order iterative method for solving fuzzy nonlinear equations, which frequently emerge in a variety of applications such as optimization, decision-making, control theory, and chemical engineering problems. One of the principal challenges in solving these equations lies in the computational demands of computing and inverting the Jacobian matrix at each iteration. …”
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Fast Adaptive Sparse Iterative Reweighted Super-Resolution Method for Forward-Looking Radar Imaging by Jiawei Luo, Yulin Huang, Ruitao Li, Deqing Mao, Yongchao Zhang, Yin Zhang, Jianyu Yang

“…However, this method suffers from poor adaptability and high computational complexity due to its noise-sensitive user-parameter and the necessity for high-dimensional matrix inversion. …”
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Hydrological connectivity: a review and emerging strategies for integrating measurement, modeling, and management by Dipankar Dwivedi, Ronald E. Poeppl, Ellen Wohl

“…., InSAR) often struggle to capture the complexity of catchment-scale interactions. Similarly, modeling approaches—including process-based and percolation theory-based models, graph theory, and entropy-based metrics—face limitations in fully representing these interconnected processes. …”
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OPTIMIZATION OF TOPOLOGICAL STRUCTURES OF CENTRALIZED LOGISTICS NETWORKS IN THE PROCESS OF REENGINEERING by Vladimir Beskorovainyi, Antonii Sudik

“…The method based on the coordinate optimization procedure has a significantly higher accuracy, but it is more complex from a computational point of view. The accuracy of the evolutionary method based on a genetic algorithm can be increased by increasing the number of iterations. …”
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Linear Feedback Synchronization Used in the Three-Dimensional Duffing System by Jian-qun Han, Xu-dong Shi, Hong Sun

“…It has been realized that synchronization using linear feedback control method is efficient compared to nonlinear feedback control method due to the less computational complexity and the synchronization error. …”
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Monte Carlo Simulation of Operator Dynamics and Entanglement in Dual-Unitary Circuits by Menghan Song, Zhaoyi Zeng, Ting-Tung Wang, Yi-Zhuang You, Zi Yang Meng, Pengfei Zhang

“…We investigate operator dynamics and entanglement growth in dual-unitary circuits, a class of locally scrambled quantum systems that enables efficient simulation beyond the exponential complexity of the Hilbert space. By mapping the operator evolution to a classical Markov process, we perform Monte Carlo simulations to access the time evolution of local operator density and entanglement with polynomial computational cost. …”
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Economic Evaluation of the Investment in Sensor Equipment Based on Data Valuation in Prediction Model by Jeong-Gi Lee, Deok-Joo Lee

“…To support method selection, we also analyze the computational complexity of both approaches and derive error bounds. …”
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ABORDAGENS DFT PARA ESPECTROS DE ABSORÇÃO UV-VIS: EXPLORANDO SEMELHANÇAS E DIFERENÇAS EM COMPOSTOS ORGÂNICO E DE COORDENAÇÃO by Vania Martins Ramos, Bruno Campana Severino, Ana Paula de Lima Batista

“…Ultraviolet-visible (UV-Vis) absorption spectroscopy is widely used in chemistry to analyze electronic structures and molecular properties. Computational chemistry, particularly density functional theory (DFT) and time-dependent DFT (TD-DFT), offers valuable tools to support and complement experimental studies. …”
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Thermodynamic overfitting and generalization: energetics of predictive intelligence by Alexander B Boyd, James P Crutchfield, Mile Gu, Felix C Binder

“…This suggests that the laws of physics jointly create the conditions for emergent complexity and predictive intelligence. These results bridge three distinctive fields: Thermodynamics, Machine Learning, and Computational Mechanics (the information theory of prediction).…”
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Variational Iteration Method and Sumudu Transform for Solving Delay Differential Equation by Subashini Vilu, Rokiah Rozita Ahmad, Ummul Khair Salma Din

“…Objective of this research is to reduce the complexity of computational work compared to the conventional approaches. …”
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Machine learning-based compression of quantum many body physics: PCA and autoencoder representation of the vertex function by Jiawei Zang, Matija Medvidović, Dominik Kiese, Domenico Di Sante, Anirvan M Sengupta, Andrew J Millis

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Benchmarking the Non-Paraxial Beam Propagation Method for Deep-Tissue Microscopy by Praveen Kalarickel Ramakrishnan, Qi Hu, Peter R. T. Munro

“…BPM extends the tractable depth of simulation assuming predominantly forward propagation in tissue, significantly reducing computational complexity. Unlike full-wave solvers, BPM avoids solving Maxwell’s equations in their entirety and requires fields to be stored for only two transverse planes at a time. …”
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Adaptive near Real-Time RFI Mitigation Using Karhunen–Loève Transform by Raúl Díez-García, Adriano Camps

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A Surrogate Model for the Rapid Prediction of Factor of Safety in Slopes with Spatial Variability by Xitailang Cao, Shan Lin, Miao Dong, Quanke Hu, Hong Zheng

“…While traditional numerical methods combined with Monte Carlo simulations and Gaussian random field theory provide accurate stability analysis, their high computational cost makes them impractical for large-scale engineering applications. …”
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Digital Architectures for UWB Beamforming Using 2D IIR Spatio-Temporal Frequency-Planar Filters by Soumya Kondapalli, Arjuna Madanayake, Len Bruton

“…Frequency-planar beamforming enables highly-directional UWB RF beams at low computational complexity compared to digital phased-array feed techniques. …”
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A flexible and lightweight signcryption scheme for underwater wireless sensor networks by Sabir Shah, Nadeem Sarwar, Abdu Salam, Farhan Amin, Faizan Ullah, Asfandyar Khan, Isabel de la Torre, Mónica Gracia Villar, Helena Garay

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