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Hidden Orchestra:
🎵 Spoken
#HiddenOrchestra
https://hiddenorchestra.bandcamp.com/track/spoken

A data-based notion of quantiles on Hadamard spaces
Ha-Young Shin, Hee-Seok Oh
https://arxiv.org/abs/2506.12534 https://arxiv.org/pdf…

A data-based notion of quantiles on Hadamard spaces
This paper defines an alternative notion, described as data-based, of geometric quantiles on Hadamard spaces, in contrast to the existing methodology, described as parameter-based. In addition to having the same desirable properties as parameter-based quantiles, these data-based quantiles are shown to have several theoretical advantages related to large-sample properties like strong consistency and asymptotic normality, breakdown points, extreme quantiles and the gradient of the loss function. …

Hadamard Encoded Row Column Ultrasonic Expansive Scanning (HERCULES) with Bias-Switchable Row-Column Arrays
Darren Olufemi Dahunsi, Randy Palmar, Tyler Henry, Mohammad Rahim Sobhani, Negar Majidi, Joy Wang, Afshin Kashani Ilkhechi, Jeremy Brown, Roger Zemp
https://arxiv.org/abs/2506.11443

Hadamard Encoded Row Column Ultrasonic Expansive Scanning (HERCULES) with Bias-Switchable Row-Column Arrays
Top-Orthogonal-to-Bottom-Electrode (TOBE) arrays, also known as bias-switchable row-column arrays (RCAs), allow for imaging techniques otherwise impossible for non-bias-switachable RCAs. Hadamard Encoded Row Column Ultrasonic Expansive Scanning (HERCULES) is a novel imaging technique that allows for expansive 3D scanning by transmitting plane or cylindrical wavefronts and receiving using Hadamard-Encoded-Read-Out (HERO) to perform beamforming on what is effectively a full 2D synthetic receive a…

A noncommutative construction of families of biunitary matrices and application to subfactors
Keshab Chandra Bakshi, Satyajit Guin, Guruprasad
https://arxiv.org/abs/2506.14351

A noncommutative construction of families of biunitary matrices and application to subfactors
We introduce a construction that, given a pair (u,v) of complex Hadamard matrices of the same order, generates infinitely many biunitary matrices of varying (and distinct) orders. As a key application, this framework yields nested sequences of vertex model subfactors that are not a tower of downward basic construction. Notably, the construction is noncommutative: interchanging the matrices (i.e., considering (v,u) instead of (u,v)) can lead to non-isomorphic subfactors. Focusing on the Hadamard…

Functional data decomposition reveals unexpectedly strong soil moisture-precipitation coupling over the Great Plains
Yifu Gao, Runze Li, Efi Foufoula-Georgiou, Jasper A. Vrugt
https://arxiv.org/abs/2506.13939

Functional data decomposition reveals unexpectedly strong soil moisture-precipitation coupling over the Great Plains
Soil moisture-precipitation coupling (SMPC) plays a critical role in Earth's water and energy cycles but remains difficult to quantify due to synoptic-scale variability and the complex interplay of land-atmosphere processes. Here, we apply high-dimensional model representation (HDMR) to functionally decompose the structural, correlative, and cooperative contributions of key land-atmosphere variables to precipitation. Benchmark tests confirm that HDMR overcomes limitations of commonly used corre…

Replaced article(s) found for quant-ph. https://arxiv.org/list/quant-ph/new
[2/3]:
- Hyperfine Coupling Constants on Quantum Computers: Performance, Errors, and Future Prospects
Jensen, Hedemark, Ziems, Kjellgren, Reinholdt, Knecht, Coriani, Kongsted, Sauer

Explicit construction of the energy-momentum tensor in the large N limit
Carlo Pagani, Hidenori Sonoda
https://arxiv.org/abs/2508.11506 https://arxiv.org/p…

Explicit construction of the energy-momentum tensor in the large N limit
We construct the energy-momentum tensor of the O(N) linear sigma model explicitly in the large N limit. Our guiding principles behind the construction are twofold: first the energy-momentum tensor must satisfy the Ward identity for translation and rotation invariance, and second the energy-momentum tensor must have proper cutoff dependence as a composite operator. We verify that the energy-momentum tensor thus constructed satisfies the expected trace formula, and that the trace vanishes at the …

Fast Learning of Optimal Policy Trees
James Cussens, Julia Hatamyar, Vishalie Shah, Noemi Kreif
https://arxiv.org/abs/2506.15435 https://

Fast Learning of Optimal Policy Trees
We develop and implement a version of the popular "policytree" method (Athey and Wager, 2021) using discrete optimisation techniques. We test the performance of our algorithm in finite samples and find an improvement in the runtime of optimal policy tree learning by a factor of nearly 50 compared to the original version. We provide an R package, "fastpolicytree", for public use.

Quest for particles production in the plane gravitational wave spacetime
Nail Khusnutdinov
https://arxiv.org/abs/2508.11558 https://arxiv.org/pdf/2508.1155…

Quest for particles production in the plane gravitational wave spacetime
Massless vector and scalar Green's functions are obtained in closed form for a plane gravitational wave spacetime using three independent methods: direct solution of the Green-function equation and construction via the DeWitt and Hadamard recursive schemes. The results coincide exactly with the DeWitt--Schwinger expansion, indicating no massless particles production in this background. Contrasting interpretations, based on Bogolyubov coefficient calculations predicting massless particle creatio…

Randomised composite linear-combination-of-unitaries: its role in quantum simulation and observable estimation
Jinzhao Sun, Pei Zeng
https://arxiv.org/abs/2506.15658

Randomised composite linear-combination-of-unitaries: its role in quantum simulation and observable estimation
Randomisation is widely used in quantum algorithms to reduce the number of quantum gates and ancillary qubits required. A range of randomised algorithms, including eigenstate property estimation by spectral filters, Hamiltonian simulation, and perturbative quantum simulation, though motivated and designed for different applications, share common features in the use of unitary decomposition and Hadamard-test-based implementation. In this work, we start by analysing the role of randomised linear-…