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We develop a higher order generalization of the LQ decomposition and show that this decomposition plays an important role in likelihood-based estimation and testing for separable, or Kronecker structured, covariance models, such as the…

Statistics Theory · Mathematics 2018-06-20 David C. Gerard , Peter D. Hoff

In this paper we propose a new class of coupling methods for the sensitivity analysis of high dimensional stochastic systems and in particular for lattice Kinetic Monte Carlo. Sensitivity analysis for stochastic systems is typically based…

Numerical Analysis · Mathematics 2015-06-18 Georgios Arampatzis , Markos Katsoulakis

Multichannel quantum defect theory (MQDT) provides a powerful toolkit for describing and understanding collisions of cold alkali atoms. Various MQDT approximations differ primarily in how they characterize the so-called short-ranged…

Atomic Physics · Physics 2023-08-01 Alyson Laskowski , Nirav Mehta

Fluid antenna systems (FAS) achieve spatial diversity by dynamically switching among $N$ densely packed ports, but the resulting spatially correlated Rayleigh channels render exact outage analysis intractable. Existing block-correlation…

Signal Processing · Electrical Eng. & Systems 2026-03-24 Tuo Wu

A compact correlation-function expansion is developed for nth order optical susceptibilities in the frequency domain using the Keldysh-Schwinger loop. By not keeping track of the relative time ordering of bra and ket interactions at the two…

Quantum Physics · Physics 2009-11-13 Shaul Mukamel

We demonstrate that modern machine-learning methods can autonomously reconstruct several flagship analytic structures in scattering amplitudes directly from numerical on-shell data. In particular, we show that the Kawai--Lewellen--Tye (KLT)…

High Energy Physics - Theory · Physics 2026-02-18 Nathan Moynihan

Scene graphs provide valuable information to many downstream tasks. Many scene graph generation (SGG) models solely use the limited annotated relation triples for training, leading to their underperformance on low-shot (few and zero)…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Tao He , Lianli Gao , Jingkuan Song , Jianfei Cai , Yuan-Fang Li

Dimensional reduction techniques have long been used to visualize the structure and geometry of high dimensional data. However, most widely used techniques are difficult to interpret due to nonlinearities and opaque optimization processes.…

Quantitative Methods · Quantitative Biology 2024-01-09 Andrew Baumgartner , Sui Huang , Jennifer Hadlock , Cory Funk

Our understanding of the transverse spin structure of hadrons might definitely get improved by the information we gather on transverse momentum dependent (TMD) distributions. These new functions could also be crucial for a description of…

High Energy Physics - Phenomenology · Physics 2008-11-26 U. D'Alesio , F. Murgia

This paper is devoted to the systematic study of additional (non- isospectral) symmetries of constrained (reduced) supersymmetric integrable hierarchies of KP type- the so called SKP_(R;M_B,M_F) models. The latter are supersymmetric…

Exactly Solvable and Integrable Systems · Physics 2009-11-07 Emil Nissimov , Svetlana Pacheva

Kinetic relations are required in order to characterize nonclassical undercompressive shock waves and formulate a well-posed initial value problem for nonlinear hyperbolic systems of conservation laws. Such nonclassical waves arise in weak…

Analysis of PDEs · Mathematics 2010-02-17 Philippe G. LeFloch

This work introduces various approaches to include connected three-body terms in unitary many-body theories, focusing a representative example on the driven similarity renormalization group (DSRG). Starting from the least approximate method…

Chemical Physics · Physics 2020-07-15 Chenyang Li , Francesco A. Evangelista

Milne-Eddington (M-E) inversion codes for the radiative transfer equation are the most widely used tools to infer the magnetic field from observations of the polarization signals in photospheric and chromospheric spectral lines.…

Solar and Stellar Astrophysics · Physics 2014-12-03 J. M. Borrero , B. W. Lites , A. Lagg , R. Rezaei , M. Rempel

The adoption of the Kolmogorov-Sinai (KS) entropy is becoming a popular research tool among physicists, especially when applied to a dynamical system fitting the conditions of validity of the Pesin theorem. The study of time series that are…

Generative neural samplers offer a complementary approach to Monte Carlo methods for problems in statistical physics and quantum field theory. This work tests the ability of generative neural samplers to estimate observables for real-world…

Statistical Mechanics · Physics 2021-06-16 Johanna Vielhaben , Nils Strodthoff

We propose the Subtractive Modulative Network (SMN), a novel, parameter-efficient Implicit Neural Representation (INR) architecture inspired by classical subtractive synthesis. The SMN is designed as a principled signal processing pipeline,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-19 Tiou Wang , Zhuoqian Yang , Markus Flierl , Mathieu Salzmann , Sabine Süsstrunk

This paper studies whether numerically preserving monotonic properties can offer modelling advantages in data assimilation, particularly when the signal or data is a realization of a stochastic partial differential equation (SPDE) or…

Computational Physics · Physics 2025-02-19 James Woodfield

We present a simple way of coding and compressing the data on board the Planck instruments (HFI and LFI) to address the problem of the on board data reduction. This is a critical issue in the Planck mission. The total information that can…

Astrophysics · Physics 2009-10-31 E. Gaztanaga , A. Romeo , J. Barriga , E. Elizalde

We extend the existing skew polynomial representations of matrix algebras which are direct sum of matrix spaces over division rings. In this representation, the sum-rank distance between two tuples of matrices is captured by a weight…

Information Theory · Computer Science 2025-12-10 Alessandro Neri , Paolo Santonastaso

Conventional anomaly detection in multivariate time series relies on the assumption that the set of observed variables remains static. In operational environments, however, monitoring systems frequently experience sensor churn. Signals may…

Machine Learning · Computer Science 2026-01-30 Haokun Zhou
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