M. L. Dennis Wong’s Post

📃Scientific paper: Conditions for eigenvalue configurations of two real symmetric matrices: a signature approach Abstract: For two real symmetric matrices, their eigenvalue configuration is the arrangement of their eigenvalues on the real line. In this paper, we provide quantifier-free necessary and sufficient conditions for two symmetric matrices to realize a given eigenvalue configuration. The basic idea is to generate a set of polynomials in the entries of the two matrices whose roots can be counted to uniquely determine the eigenvalue configuration. This result can be seen as ageneralization of Descartes' rule of signs to the case of two real univariate polynomials. ;Comment: arXiv admin note: substantial text overlap with arXiv:2401.00089 Continued on ES/IODE ➡️ https://etcse.fr/paSy ------- If you find this interesting, feel free to follow, comment and share. We need your help to enhance our visibility, so that our platform continues to serve you.

Prof. Erik Meijering is part of an international consortium that recently had two major papers published in Nature Methods. 👏 The consortium aims to identify common pitfalls in the experimental validation of image analysis methods and develop guidelines for researchers to use the right evaluation metrics. Read the papers below: - Understanding Metric-Related Pitfalls in Image Analysis Validation (🔗 https://lnkd.in/gYrCWuiz) - Metrics Reloaded: Recommendations for Image Analysis Validation ( 🔗 https://lnkd.in/ghi787j7)

#ManuscriptMonday “Codex Zacynthius,” GA 040, is a palimpsest manuscript with an 8th century majuscule text of Luke and commentary as the undertext and a 12th century Gospels lectionary as the overtext. The Codex Zacynthius project at the University of Birmingham utilized Multispectral Imaging to bring out the treasures in each layer. See more here: https://buff.ly/3uLiI0D.

Publication Alert!! I want to use the medium to announce that two of our works have just been accepted, and I also want to thank all of the co-authors on this project: We are pleased to inform you that the following paper has been officially accepted for publication: Manuscript ID: Math-17280 Type of manuscript: Research article Title: Bayesian and Non-Bayesian Estimation of Some Entropy Measures for a Weibull Distribution AND Congratulations on the acceptance of your manuscript, and thank you for submitting your work to Entropy: Manuscript ID: entropy-3307968 Type of manuscript: Article Title: DUS-Topp Leone-G Family of Distributions: Baseline Extension, Properties, Estimation, Simulation and Useful Application

📃Scientific paper: Craig Interpolation for Decidable First-Order Fragments Abstract: We show that the guarded-negation fragment (GNFO) is, in a precise sense, the smallest extension of the guarded fragment (GFO) with Craig interpolation. In contrast, we show that the smallest extension of the two-variable fragment (FO2), and of the forward fragment (FF) with Craig interpolation, is full first-order logic. Similarly, we also show that all extensions of FO2 and of the fluted fragment (FL) with Craig interpolation are undecidable. ;Comment: To appear in Proceedings of FOSSACS 2024. arXiv admin note: text overlap with arXiv:2304.08086 Continued on ES/IODE ➡️ https://etcse.fr/62Shm ------- If you find this interesting, feel free to follow, comment and share. We need your help to enhance our visibility, so that our platform continues to serve you.

📃Scientific paper: Emergent chaotic iterations in hard sparse instances of hamiltonian path problem Abstract: A hamiltonian path is a path walk P that can be a hamiltonian path or hamiltonian circuit. Determining whether such hamiltonian path exists in a given graph G = (V, E) is a NP-Complete problem. In this paper, a novel algorithm with chaotic behaviour for hamiltonian path problem is proposed. We show that our algorithm runs in $O(V^5(V + E))$ for hard sparse instances from FHCP challenge dataset. Continued on ES/IODE ➡️ https://etcse.fr/ju1 ------- If you find this interesting, feel free to follow, comment and share. We need your help to enhance our visibility, so that our platform continues to serve you.

Do LLMs plan the content of a paragraph at its onset? Together with Nicky P., Angelo Benoit Lovkush Agarwal 🔸, and Zainab Ali Majid , we take a mechanistic interpretability approach to investigate this research question. Check out our paper on arXiv https://lnkd.in/epZmVXwU and or medium blog post https://lnkd.in/eE6mbKNF

The paper "Learning the intrinsic dynamics of spatio-temporal processes through Latent Dynamics Networks," signed by Francesco Regazzoni, Stefano Pagani, Matteo Salvador, Luca Dede' and Alfio Quarteroni, has been published in the prestigious journal Nature Communications. The study concerns a new Operator Learning method in space-time, which allows non-intrusive learning of the solution map underlying evolutionary partial differential equations. Link to article: https://lnkd.in/eBRVFWfz https://lnkd.in/gcpcDruA

🔥 Read our Highly Cited Paper  📚 Heterogeneous Graph-Convolution-Network-Based Short-Text Classification 🔗 https://lnkd.in/gA9DtXfy 👨🔬 by Jiwei Hua et al. 🏫 Tianjin Normal University #textclassification #graph #neuralnetwork

As many of you may be aware, the current Chronos quantization scheme, detailed in the paper https://lnkd.in/g6B2ZQEZ (see Figure 16), has garnered significant attention and discussion. While innovative, some researchers have expressed concerns regarding its perceived simplicity and potential sub-optimality. In the spirit of open science and collective progress, I invite all individuals with expertise in quantization, dynamic range preservation, or related fields to contribute their insights, ideas, or links to existing solutions that could potentially enhance or refine the Chronos quantization scheme. If you have contributions to make, please feel free to share them in the comments section.  Tal Darom Eliya Nachmani