Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 4, August 2026.ABSTRACT Conformity of observed data with a postulated probability distribution is a fundamental problem of statistical modeling. Current tools for checking distributional conformity are often limited to univariate settings, with extensions to multivariate distributions facing challenges in interpretability and power.
Rasha Alsaadawi, Nitai D. Mukhopadhyay
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Cluster scattering diagrams via quiver moduli and tight gradings
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We study rank‐2 cluster scattering diagrams through moduli spaces of quiver representations and a recently developed combinatorial framework of tight gradings. Combining quiver‐theoretic and combinatorial methods, we prove and extend a collection of conjectures posed by Elgin–Reading–Stella concerning the structural and enumerative properties ...
Amanda Burcroff +4 more
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A trace–path integral formula over function fields
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
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Decoupling Size from Shape: Cellular Sheaf Laplacians as Ligand Geometry Descriptors for Binding Affinity Prediction. [PDF]
Int J Mol SciAkgüller Ö, Balcı MA, Cioca G.
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Topological data analysis and topological deep learning beyond persistent homology: a review. [PDF]
Artif Intell RevSu Z +7 more
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Rigorous construction and classification of solitary-waves and exact soliton configurations in the nonlinear coupled Maccari system. [PDF]
Sci RepHussain A +6 more
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ERG-Graph: Graph Signal Processing of the Electroretinogram for Classification of Neurodevelopmental Disorders. [PDF]
Bioengineering (Basel)Mercado-Diaz LR +6 more
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Comparison of neural and traditional techniques for soliton structures and dynamical behavior in a double-chain DNA model. [PDF]
Sci RepMajid SZ, Sağlam FNK, Ullah MS.
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Exact soliton, lump, and breather solutions of the (3 + 1)-dimensional Jimbo-Miwa equation via the bilinear neural network method. [PDF]
Sci RepHussein HH, Mekawey H, Elsheikh A.
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A Review of Topological Data Analysis and Topological Deep Learning in Molecular Sciences. [PDF]
J Chem Inf ModelWee J, Jiang J.
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