Tootfinder

ZORMS-LfD: Learning from Demonstrations with Zeroth-Order Random Matrix Search
Olivia Dry, Timothy L. Molloy, Wanxin Jin, Iman Shames
https://arxiv.org/abs/2507.17096

ZORMS-LfD: Learning from Demonstrations with Zeroth-Order Random Matrix Search
We propose Zeroth-Order Random Matrix Search for Learning from Demonstrations (ZORMS-LfD). ZORMS-LfD enables the costs, constraints, and dynamics of constrained optimal control problems, in both continuous and discrete time, to be learned from expert demonstrations without requiring smoothness of the learning-loss landscape. In contrast, existing state-of-the-art first-order methods require the existence and computation of gradients of the costs, constraints, dynamics, and learning loss with re…

The Bivariate regular variation of randomly weighted sums revisited in the presence of interdependence
Dimitrios G. Konstantinides, Charalampos D. Passalidis
https://arxiv.org/abs/2506.17895

The Bivariate regular variation of randomly weighted sums revisited in the presence of interdependence
We study the closure properties of the class of Bivariate Regular Variation, symbolically BRV , in standard and nonstandard cases, with respect to the randomly weighted sums. However, we take into consideration a weak dependence structure among the random weights and the main random variables, providing more flexibility in applications. In the first main result, under the condition that the main random variables belong to BRV , we provide a dependent bivariate extension of Breiman's theorem, un…

Maatregelen rondom duurzaamheid en klimaatverandering sneuvelen her en der, tegelijk wordt de impact van klimaatverandering steeds duidelijker en concreter. Bizarre situatie.
https://www.knmi.nl/over-het-knmi/nieuws/knmi-klimaatbericht-marin…

Jag delade resultatet från en randomiserad studie för någon vecka sedan och fick då en fråga hur man kunde veta att resultatet inte bara berodde på att de som tränar är friskar från start.
Så jag gjorde en kort video som förklarar varför RCTs är kraftfullt för att avgöra vad som orsakar vad? https://www.

Replaced article(s) found for stat.ML. https://arxiv.org/list/stat.ML/new
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- Randomization Can Reduce Both Bias and Variance: A Case Study in Random Forests
Brian Liu, Rahul Mazumder

Zero Temperature Dynamics of Ising Systems on Hypercubes
Ruixin Chen, Jonathan Machta, Charles M. Newman, Daniel L. Stein
https://arxiv.org/abs/2506.19949 …

Zero Temperature Dynamics of Ising Systems on Hypercubes
We study the zero-temperature Glauber dynamics of homogeneous Ising ferromagnets on hypercubes, as their dimension d varies. We investigate the asymptotic (d goes to infinity and time t goes to infinity) behavior of various quantities on hypercubes, such as the final magnetization, the probability for the system to enter a ground state, etc. Our numerical studies are carried out using a uniformly random initial state but with the constraint that the initial magnetization is zero. The final stat…

Universal and Efficient Quantum State Verification via Schmidt Decomposition and Mutually Unbiased Bases
Yunting Li, Huangjun Zhu
https://arxiv.org/abs/2506.19809

Universal and Efficient Quantum State Verification via Schmidt Decomposition and Mutually Unbiased Bases
Efficient verification of multipartite quantum states is crucial to many applications in quantum information processing. By virtue of Schmidt decomposition and mutually unbiased bases, here we propose a universal protocol to verify arbitrary multipartite pure quantum states using adaptive local projective measurements. Moreover, we establish a universal upper bound on the sample complexity that is independent of the local dimensions. Numerical calculations further indicate that Haar-random pure…

Contraction, Criticality, and Capacity: A Dynamical-Systems Perspective on Echo-State Networks
Pradeep Singh, Lavanya Sankaranarayanan, Balasubramanian Raman
https://arxiv.org/abs/2507.18467

Contraction, Criticality, and Capacity: A Dynamical-Systems Perspective on Echo-State Networks
Echo-State Networks (ESNs) distil a key neurobiological insight: richly recurrent but fixed circuitry combined with adaptive linear read-outs can transform temporal streams with remarkable efficiency. Yet fundamental questions about stability, memory and expressive power remain fragmented across disciplines. We present a unified, dynamical-systems treatment that weaves together functional analysis, random attractor theory and recent neuroscientific findings. First, on compact multivariate input…

Regularity of random attractor and fractal dimension of fractional stochastic Navier-Stokes equations on three-dimensional torus
Hui Liu, Chengfeng Sun, Jie Xin
https://arxiv.org/abs/2506.18480

Regularity of random attractor and fractal dimension of fractional stochastic Navier-Stokes equations on three-dimensional torus
In this paper we will study the asymptotic dynamics of fractional Navier-Stokes (NS) equations with additive white noise on three-dimensional torus $\mathbb T^3$. Under the conditions that the external forces $f(x)$ belong to the phase space $ H$ and the noise intensity function $h(x)$ satisfies $\|\nabla h\|_{L^\infty} < \sqrt πνλ_1^\frac{5}{4}$, where $ ν$ is the kinematic viscosity of the fluid and $λ_1$ is the first eigenvalue of the Stokes operator, we shown that the random …

Correlation effects in one-dimensional metallic quantum wires under various confinements
Vidit Gangwar, Vinod Ashokan, Ankush Girdhar, Klaus Morawetz, N. D. Drummond, K. N. Pathak
https://arxiv.org/abs/2507.17925

Correlation effects in one-dimensional metallic quantum wires under various confinements
Dynamical response theory is used to investigate various transverse confinements on electron correlations in the ground state of a ferromagnetic one-dimensional quantum wire for different wire widths $b$ and density parameters $r_{\rm s}$. Using the first-order random phase approximation (FRPA), which provides the ground state structure beyond the random phase approximation, we compute the structure factor, pair-correlation function, correlation energy, and ground-state energy. The correlation …