In \emph{Online Shadow Tomography}, we are given copies of an unknown $d$-dimensional quantum state $ρ$, an adversary (adaptively) proposes a sequence of bounded observables $A^{(1)},\ldots,A^{(m)}$, ...
We study the problem of generating synthetic time series that reproduce both marginal distributions and temporal dynamics, a central challenge in financial machine learning. Existing approaches typica...
Deep-sea microorganisms constitute a valuable source of structurally diverse natural products. In this study, an extracellular polysaccharide was isolated from the deep-sea fungus Beauveria bassiana T...
We study the Schrödinger-Bass problem, a one-parameter family of semimartingale optimal transport problems indexed by $β>0$, whose limiting regimes interpolate between the classical Schrödinger bridge...
Carbon fixation in marine ecosystems is a vital process that contributes to climate regulation, with ocean sediments playing a critical role in carbon sequestration. This process is driven by chemolit...
We apply ordinal-pattern analysis and permutation entropy (PE) to satellite-derived chlorophyll-a (Chl-a), sea surface temperature (SST), and mixed-layer depth (MLD) data to investigate the spatiotemp...
For any fixed $k$, we prove a lower bound on the $k$th largest modulus of an eigenvalue of the non-backtracking matrix $B$. Specifically, consider any deterministic or random family of graphs that con...
Microplastic contamination in aquatic ecosystems has emerged as a major environmental concern due to its potential impact on marine organisms and human health. The present study investigates the abund...
We study the Sachdev-Ye-Kitaev (SYK) Hamiltonian $H_{\operatorname{SYK}}$ on $n$ Majorana modes with $k$-body interactions, and prove that $\mathbb{E}\|H_{\operatorname{SYK}}\|_{\operatorname{op}} = (...
This study documents the first recorded occurrence of six commercially important grouper fish species (Teleostei: Perciformes: Epinephelidae) from the Lakshadweep Islands, India. The species documente...
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