Stability of the Levi-Civita tensors and an Alon–Tarsi type theorem by Yeliussizov, Damir

“…We show that the Levi-Civita tensors are semistable in the sense of Geometric Invariant Theory, which is equivalent to an analogue of the Alon–Tarsi conjecture on Latin squares. …”
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Projection solutions of Frobenius-Perron operator equations by Jiu Ding, Tien Tien Li

“…We construct in this paper the first order and second order piecewise polynomial finite approximation schemes for the computation of invariant measures of a class of nonsingular measurable transformations on the unit interval of the real axis. …”
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BASIC LEVEL OF KNOWLEDGE AS AN OBJECT OF STANDARDIZATION IN THE EDUCATION SYSTEM by Natalya I. Martishina

“…One of the problems of modern higher education is disappearance of a fixed basic level of knowledge which is invariant in the different methods of teaching. Meanwhile, there is a necessary basic level of knowledge in any profession as a condition of professionalism. …”
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Weighted norm inequalities and indices by Joaquim Martín, Mario Milman

“…We extend and simplify several classical results on weighted norm inequalities for classical operators acting on rearrangement invariant spaces using the theory of indices. As an application we obtain necessary and sufficient conditions for generalized Hardy type operators to be bounded on ?…”
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Omega, Sadhana, Theta, and PI Polynomials of Double Benzonoid Chain by Fozia Bashir Farooq, Saima Parveen, Nadeem Ul Hassan Awan, Rakotondrajao Fanja

“…Counting polynomials are closely related to certain features of chemical graphs and provide an elegant means of expressing graph topological invariants. The current paper aims to calculate four polynomials for double benzenoid chains, Sadhana, omega, theta, and Padmakar–Ivan (PI). …”
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Traveling Wave Solution in a Diffusive Predator-Prey System with Holling Type-IV Functional Response by Deniu Yang, Lihan Liu, Hongyong Wang

“…The methods used to prove the result are the shooting argument and the invariant manifold theory.…”
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A Beurling-Helson type theorem for modulation spaces by Kasso A. Okoudjou

“…More precisely, we show that the only 𝒞1 changes of variables that leave invariant the modulation spaces ℳp,q(ℝd) are affine functions on ℝd. …”
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On Fault Detection in Linear Discrete-Time, Periodic, and Sampled-Data Systems by P. Zhang, S. X. Ding

“…This paper gives a review of some standard fault-detection (FD) problem formulations in discrete linear time-invariant systems and the available solutions. Based on it, recent development of FD in periodic systems and sampled-data systems is reviewed and presented. …”
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SAlexNet: Superimposed AlexNet using residual attention mechanism for accurate and efficient automatic primary brain tumor detection and classification by Qurat-ul-ain Chaudhary, Shahzad Ahmad Qureshi, Touseef Sadiq, Anila Usman, Ambreen Khawar, Syed Taimoor Hussain Shah, Aziz ul Rehman

“…In this study, we evaluated the performance of our proposed SAlexNet models on two publicly available extensive datasets for multi-class and binary classification tasks. Our results show that SAlexNet-1 achieved an accuracy of (98.78 ± 0.80 %) and (98.07± 0.02 %) on the multi-class and binary classification datasets, respectively. …”
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Explainable Machine Learning for Efficient Diabetes Prediction Using Hyperparameter Tuning, SHAP Analysis, Partial Dependency, and LIME by Md. Manowarul Islam, Habibur Rahman Rifat, Md. Shamim Bin Shahid, Arnisha Akhter, Md Ashraf Uddin, Khandaker Mohammad Mohi Uddin

“…The extra trees classifier (ET) performed exceptionally, achieving 97.23% accuracy on the multi‐class dataset and 97.45% on the binary dataset.…”
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Augmented Superfield Approach to Nilpotent Symmetries of the Modified Version of 2D Proca Theory by A. Shukla, S. Krishna, R. P. Malik

“…We derive the complete set of off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST, and (anti-)co-BRST symmetry transformations for all the fields of the modified version of two (1+1)-dimensional (2D) Proca theory by exploiting the “augmented” superfield formalism where the (dual-)horizontality conditions and (dual-)gauge invariant restrictions are exploited together. We capture the (anti-)BRST and (anti-)co-BRST invariance of the Lagrangian density in the language of superfield approach. …”
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Comparison of modularity-based approaches for nodes clustering in hypergraphs by Poda, Veronica, Matias, Catherine

“…This effort lays the foundation for a better understanding of the primary objectives of modularity-based node clustering methods for binary hypergraphs. …”
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Noise Robustness of Quantum Relaxation for Combinatorial Optimization by Kentaro Tamura, Yohichi Suzuki, Rudy Raymond, C. Hiroshi Watanabe, Yuki Sato, Ruho Kondo, Michihiko Sugawara, Naoki Yamamoto

“…Reducing the number of qubits will alleviate physical noise (typically, decoherence), and as a result, the quality of the binary solution of QRAO may be robust against noise, which is, however, unknown. …”
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Group-based siamese self-supervised learning by Zhongnian Li, Jiayu Wang, Qingcong Geng, Xinzheng Xu

“…Traditional methods tended to focus on embedding distortion-invariant in single-view features. However, our belief was that a better representation can be achieved by creating a group of features derived from multiple views. …”
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Effect Improved for High-Dimensional and Unbalanced Data Anomaly Detection Model Based on KNN-SMOTE-LSTM by Fuguang Bao, Yongqiang Wu, Zhaogang Li, Yongzhao Li, Lili Liu, Guanyu Chen

“…The experiments demonstrated that the structured kNN-SMOTE-LSTM model can significantly improve the performance of the unbalanced sequence binary classification.…”
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Geospatial and econometric approaches or older driver safety: Analysis of crash injury severity of regional highways. by Daiquan Xiao, Dajie Zuo, Xuecai Xu, Quan Yuan

“…Next, Bayesian spatial binary probit model was presented in order to determine the significant impact factors of injury severity involving older drivers. …”
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Quantization of a 3D Nonstationary Harmonic plus an Inverse Harmonic Potential System by Salim Medjber, Hacene Bekkar, Salah Menouar, Jeong Ryeol Choi

“…To overcome this difficulty, special mathematical methods, which are the invariant operator method, the unitary transformation method, and the Nikiforov-Uvarov method, are used when we derive solutions of the Schrödinger equation for the system. …”
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Program semantic analysis model for code reuse detection by GUO Xi, WANG Pan

“…Finally, the semantic similarity of binary files was obtained through statistical analysis of similarity functions. …”
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Multi-Class Sentiment Analysis on Twitter: Classification Performance and Challenges by Mondher Bouazizi, Tomoaki Ohtsuki

“…While most of the work related to sentiment analysis of texts focuses on the binary and ternary classification of these data, the task of multi-class classification has received less attention. …”
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Automatic Capture Processing Method of Basketball Shooting Trajectory Based on Background Elimination Technology by Hongyan Fan, Youhong Hu, Jianfeng Zhang

“…The image of the basketball shooting trajectory is captured using imaging technology; the image is then preprocessed in four steps: binary erosion, binary expansion, closing operation, and opening operation to create a smooth image. …”
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