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…

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

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…

An Axiomatization of the Random Priority Rule
Christian Basteck
https://arxiv.org/abs/2506.17997 https://arxiv.org/pdf/2506.17997

An Axiomatization of the Random Priority Rule
We study the problem of assigning indivisible objects to agents where each is to receive at most one. To ensure fairness in the absence of monetary compensation, we consider random assignments. Random Priority, also known as Random Serial Dictatorship, is characterized by equal-treatment-of-equals, ex-post efficiency and probabilistic (Maskin) monotonicity -- whenever preferences change so that a given deterministic assignment is ranked weakly higher by all agents, the probability of that assig…

Consistency of tug-of-war type operators on random data clouds
Jeongmin Han, Huajie Liu
https://arxiv.org/abs/2507.18383 https://arxiv.org/pdf/2507.18383…

Consistency of tug-of-war type operators on random data clouds
In this paper, we study a tug-of-war type operator on geometric graphs and its associated Dirichlet problem on a random data cloud. Specifically, we analyze the convergence of the value functions as the number of data points increases and the step size of the game shrinks. This analysis reveals the connection between our tug-of-war type operator and the corresponding model problem. A key ingredient in establishing this result is the consistency of the operator.

Ahhhja. Rentnerin vergisst Herd abzuschalten und verlässt das Haus. War zum Glück Wasser drin, aber beim verdampfen wurde der Rauchmelder ausgelöst. Und jetzt beschwert sie sich, dass die Nachbarn die Feuerwehr angerufen haben und sie für den entstandenen Schaden zahlen soll.
Ich bin ja auch dafür im Zweifel erst mal nen Sanity-Check zu machen - wenn kein Rauch/Feuerschein zu sehen ist und das Ding nach ein paar Sekunden wieder Ruhe gibt oder man wen vor Ort antrifft muss sicher nicht…

Discrete-Time LQ Stochastic Two Person Nonzero Sum Difference Games With Random Coefficients:~Closed-Loop Nash Equilibrium
Qingxin Meng, Yiwei Wu
https://arxiv.org/abs/2507.16412 …

Discrete-Time LQ Stochastic Two Person Nonzero Sum Difference Games With Random Coefficients:~Closed-Loop Nash Equilibrium
This paper investigates closed-loop Nash equilibria for discrete-time linear-quadratic (LQ) stochastic nonzero-sum difference games with random coefficients. Unlike existing works, we consider randomness in both state dynamics and cost functionals, leading to a complex structure of fully coupled cross-coupled stochastic Riccati equations (CCREs). The key contributions lie in characterizing the equilibrium via state-feedback strategies derived by decoupling stochastic Hamiltonian systems governe…

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 …