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Characterizing State Space Model (SSM) and SSM-Transformer Hybrid Language Model Performance with Long Context Length
Saptarshi Mitra, Rachid Karami, Haocheng Xu, Sitao Huang, Hyoukjun Kwon
https://arxiv.org/abs/2507.12442

Characterizing State Space Model (SSM) and SSM-Transformer Hybrid Language Model Performance with Long Context Length
The demand for machine intelligence capable of processing continuous, long-context inputs on local devices is growing rapidly. However, the quadratic complexity and memory requirements of traditional Transformer architectures make them inefficient and often unusable for these tasks. This has spurred a paradigm shift towards new architectures like State Space Models (SSMs) and hybrids, which promise near-linear scaling. While most current research focuses on the accuracy and theoretical throughp…

Quadratic Embedding Constants of Cartesian Products and Joins of Graphs
Projesh Nath Choudhury, Raju Nandi
https://arxiv.org/abs/2508.10834 https://arxiv.o…

Quadratic Embedding Constants of Cartesian Products and Joins of Graphs
The quadratic embedding constant (QEC) of a finite, simple, connected graph originated from the classical work of Schoenberg [Ann. of Math., 1935] and [Trans. Amer. Math. Soc., 1938] on Euclidean distance geometry. In this article, we study the QEC of graphs in terms of two graph operations: the Cartesian product and the join of graphs. We derive a general formula for the QEC of the join of an arbitrary graph with a regular graph and with a complete multipartite graph. We then provide quadratic…

Auch neue Häuser in Bremen brauchen jetzt Solaranlage
Kein Neubau ohne Solaranlage: Bremen verschärft ab Juli die Regeln für Hausdächer. Sind diese mindestens 25 Quadratmeter groß, greift die Solarpflicht.

Med-URWKV: Pure RWKV With ImageNet Pre-training For Medical Image Segmentation
Zhenhuan Zhou
https://arxiv.org/abs/2506.10858 https://

Med-URWKV: Pure RWKV With ImageNet Pre-training For Medical Image Segmentation
Medical image segmentation is a fundamental and key technology in computer-aided diagnosis and treatment. Previous methods can be broadly classified into three categories: convolutional neural network (CNN) based, Transformer based, and hybrid architectures that combine both. However, each of them has its own limitations, such as restricted receptive fields in CNNs or the computational overhead caused by the quadratic complexity of Transformers. Recently, the Receptance Weighted Key Value (RWKV…

A general approach to permutation polynomials from quadratic forms
Ruikai Chen
https://arxiv.org/abs/2506.24012 https://arxiv.org/pdf…

A general approach to permutation polynomials from quadratic forms
We investigate a family of permutation polynomials of finite fields of characteristic 2. Through a connection between permutation polynomials and quadratic forms, a general treatment is presented to characterize these permutation polynomials. By determining some character sums associated with quadratic forms, we explicitly describe several classes of permutation polynomials.

Quantum transduction via generalized continuous-variable teleportation
Quntao Zhuang
https://arxiv.org/abs/2506.06899 https://arxiv.o…

Quantum transduction via generalized continuous-variable teleportation
Quantum transduction converts quantum states between different frequencies. Similarly, quantum teleportation transfers quantum states between different systems. While often appreciated for quantum communication between distant locations, teleportation can also operate between different frequencies. In terms of bosonic modes, quantum teleportation relies on two-mode squeezing -- squeezed on the balanced Einstein-Podolsky-Rosen (EPR) quadratures -- for entanglement and a balanced beamsplitter plu…

Millions of inequivalent quadratic APN functions in eight variables
Christof Beierle, Philippe Langevin, Gregor Leander, Alexandr Polujan, Shahram Rasoolzadeh
https://arxiv.org/abs/2508.04644

Millions of inequivalent quadratic APN functions in eight variables
The only known example of an almost perfect nonlinear (APN) permutation in even dimension was obtained by applying CCZ-equivalence to a specific quadratic APN function. Motivated by this result, there have been numerous recent attempts to construct new quadratic APN functions. Currently, 32,892 quadratic APN functions in dimension 8 are known and two recent conjectures address their possible total number. The first, proposed by Y. Yu and L. Perrin (Cryptogr. Commun. 14(6): 1359-1369, 2022), sug…

Plug-and-Play Linear Attention for Pre-trained Image and Video Restoration Models
Srinivasan Kidambi, Pravin Nair
https://arxiv.org/abs/2506.08520 https://…

Plug-and-Play Linear Attention for Pre-trained Image and Video Restoration Models
Multi-head self-attention (MHSA) has become a core component in modern computer vision models. However, its quadratic complexity with respect to input length poses a significant computational bottleneck in real-time and resource constrained environments. We propose PnP-Nystra, a Nyström based linear approximation of self-attention, developed as a plug-and-play (PnP) module that can be integrated into the pre-trained image and video restoration models without retraining. As a drop-in replacemen…

Quadratic relations for ninth variations of Schur functions and application to Schur multiple zeta functions
Wataru Takeda, Yoshinori Yamasaki
https://arxiv.org/abs/2508.03150 h…

Quadratic relations for ninth variations of Schur functions and application to Schur multiple zeta functions
Macdonald's ninth variation of Schur functions is a broad generalization of the classical Schur function and its variants, defined via the Jacobi-Trudi determinant formula. In this paper, we establish various algebraic relations for $S^{(r)}_{λ/μ}(X)$, a class of the ninth variation introduced by Nakagawa, Noumi, Shirakawa, and Yamada, by combining the Jacobi-Trudi formula with determinant formulas such as the Desnanot-Jacobi adjoint matrix theorem and the Plücker relations, which generalize…