Tootfinder

Can SSD-Mamba2 Unlock Reinforcement Learning for End-to-End Motion Control?
Gavin Tao, Yinuo Wang, Jinzhao Zhou
https://arxiv.org/abs/2509.07593 https://ar…

Can SSD-Mamba2 Unlock Reinforcement Learning for End-to-End Motion Control?
End-to-end reinforcement learning for motion control promises unified perception-action policies that scale across embodiments and tasks, yet most deployed controllers are either blind (proprioception-only) or rely on fusion backbones with unfavorable compute-memory trade-offs. Recurrent controllers struggle with long-horizon credit assignment, and Transformer-based fusion incurs quadratic cost in token length, limiting temporal and spatial context. We present a vision-driven cross-modal RL fra…

Replaced article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[3/9]:
- Kernel-Free Universum Quadratic Surface Twin Support Vector Machines for Imbalanced Data
Hossein Moosaei, Milan Hlad\'ik, Ahmad Mousavi, Zheming Gao, Haojie Fu

Randomized truncation of quantum states
Aram W. Harrow, Angus Lowe, Freek Witteveen
https://arxiv.org/abs/2510.08518 https://arxiv.org/pdf/2510.08518

Randomized truncation of quantum states
A fundamental task in quantum information is to approximate a pure quantum state in terms of sparse states or, for a bipartite system, states of bounded Schmidt rank. The optimal deterministic approximation in each case is straightforward, and maximizes the fidelity: keep the largest entries or singular values. On the other hand, random mixtures of sparse states can achieve quadratically improved trace distances, and yield nontrivial bounds on other distance measures like the robustness. In thi…

Quadrature rules with few nodes supported on algebraic curves
Cordian Riener, Ettore Teixeira Turatti
https://arxiv.org/abs/2509.06643 https://arxiv.org/pd…

Quadrature rules with few nodes supported on algebraic curves
We investigate quadrature rules for measures supported on real algebraic and rational curves, focusing on the {odd-degree} case \(2s-1\). Adopting an optimization viewpoint, we minimize suitable penalty functions over the space of quadrature rules of strength \(2s-1\), so that optimal solutions yield rules with the minimal number of nodes. For plane algebraic curves of degree \(d\), we derive explicit node bounds depending on \(d\) and the number of places at infinity, improving results of Rien…

Sign-coherence and tropical sign pattern for rank $3$ real cluster-cyclic exchange matrices
Ryota Akagi, Zhichao Chen
https://arxiv.org/abs/2509.07454 https://

Sign-coherence and tropical sign pattern for rank $3$ real cluster-cyclic exchange matrices
The sign-coherence about $c$-vectors was conjectured by Fomin-Zelevinsky and solved completely by Gross-Hacking-Keel-Kontsevich for integer skew-symmetrizable case. We prove this conjecture associated with $c$-vectors for rank 3 real cluster-cyclic skew-symmetrizable case. Simultaneously, we establish their self-contained recursion and monotonicity. Then, these $c$-vectors are proved to be roots of certain quadratic equations. Based on these results, we prove that the corresponding exchange gra…

Thermodynamic Irreversibility in Underdamped Brownian Motion with Spatial Temperature Gradients
Mesfin Taye
https://arxiv.org/abs/2509.07272 https://arxiv.…

Thermodynamic Irreversibility in Underdamped Brownian Motion with Spatial Temperature Gradients
We analyze underdamped Brownian motion in non-isothermal media with quadratic, linear, and piecewise-constant temperature profiles. Exact identities for entropy production and entropy extraction are derived, addressing whether a vanishing rate implies equilibrium. For a free particle (no external forces or ratchets), the instantaneous entropy production and extraction rates decay to zero at long times despite a spatial temperature gradient. However, their time-integrated values remain finite, d…

Pulsar timing array analysis in a Legendre polynomial basis
Bruce Allen, Arian L. von Blanckenburg, Ken D. Olum
https://arxiv.org/abs/2510.05913 https://ar…

Pulsar timing array analysis in a Legendre polynomial basis
We use Legendre polynomials (previously discussed in this context by Pitrou and Cusin [1]) to model signals in pulsar timing arrays (PTA). These replace the (Fourier mode) basis of trigonometric functions normally used for data analysis. The Legendre basis makes it simpler to incorporate pulsar modeling effects, which remove constant-, linear-, and quadratic-in-time terms from pulsar timing residuals. In the Legendre basis, this zeroes the amplitudes of the the first three Legendre polynomials.…

Symplectic configurations: a homological and computer-aided approach
Weimin Chen
https://arxiv.org/abs/2509.07429 https://arxiv.org/pdf/2509.07429

Symplectic configurations: a homological and computer-aided approach
We formulated a homological and computer-aided approach to study certain unions of symplectic surfaces, called symplectic configurations, in a rational $4$-manifold $X=CP^2\# N\overline{CP^2}$. We addressed several fundamental theoretical questions, and also as a technical device, developed a symplectic analog of the so-called quadratic Cremona transformations in complex algebraic geometry. As an application, we gave a new proof that a certain line arrangement in $CP^2$, called Fano planes, doe…

Crosslisted article(s) found for math.AG. https://arxiv.org/list/math.AG/new
[1/1]:
- Generalized Sato-Tate and quadratic residues
Sergey Vladuts
https://

Dyonically charged black holes in Weyl conformal gravity
Reinosuke Kusano, Miguel Yulo Asuncion, Keith Horne
https://arxiv.org/abs/2510.05701 https://arxiv…

Dyonically charged black holes in Weyl conformal gravity
We present a parametric study of the spacetime structures in the dyonic Reissner-Nordström solution in Weyl's conformal theory of gravity. We derive expressions for photon sphere radii and horizons for this metric in terms of the conformal gravity parameters, from which we then obtain analytic formulae for extremal limits and Hawking temperatures. Due to the surprising lack of the inverse quadratic $1/r^2$ term in this fourth-order metric, there is no guarantee for the innermost horizon of a b…