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Analysis of the relation between properties of LDPC codes and the tanner graph
Problems of Information Transmission. 2012. Vol. 48. No. 4. P. 297–323.
Zyablov V., Rybin P.
A new method for estimating the number of errors guaranteed to be corrected by a low-density parity-check code is proposed. The method is obtained by analyzing edges with special properties of an appropriate Tanner graph. In this paper we consider binary LDPC codes with constituent single-parity-check and Hamming codes and an iterative decoding algorithm. Numerical results obtained for the proposed lower bound exceed similar results for the best previously known lower bounds.
Language:
English
Zhang Z., Ilvovsky D., Neurocomputing 2027 Vol. 710
Efficient management of the Key-Value (KV) cache is essential for deploying large language models (LLMs) in long-context scenarios, where memory requirements often exceed the capacity of resource-constrained hardware. Many existing training-free compression algorithms typically rely on attention-driven heuristics, but exhibit two key limitations. First, they require explicit attention score computation, which is difficult to reconcile ...
Added: November 5, 2026
Lyskov D., Coron B., / Series math "arxiv.org". 2026.
Added: November 5, 2026
Retinsky V., Функциональный анализ и его приложения 2026 Т. 60 № 4 С. 83–100
Приведено обобщение матричной теоремы о деревьях на случай перечисления пар остовных деревьев. Это обобщение включает в качестве частных случаев и унифицирует сразу несколько известных ранее результатов, в частности классическую теорему Кирхгофа, теорему Масбаума–Вайнтроба о перечислении 3-деревьев, а также аналог матричной теоремы о деревьях для перечисления 4-элементов Кирхгофа. ...
Added: November 5, 2026
Levashev V., Математические заметки 2026 Т. 120 № 5 С. 843–846
Пусть 𝐴 – коммутативное ассоциативное кольцо с единицей и 𝐴((𝑡)) = 𝐴[[𝑡]][𝑡−1] – кольцо рядов Лорана над 𝐴. Алгебра 𝐴((𝑡)) имеет естественную топологию, где 𝐴 – подмодули вида 𝑡𝑚𝐴[[𝑡]] образуют базу окрестностей нуля. Пусть также Ω1𝐴((𝑡))/𝐴 – модуль кэлеровых 1-дифференциалов 𝐴((𝑡)) над 𝐴. ...
Added: November 5, 2026
Алексеев О. В., Letters in Mathematical Physics 2026 Vol. 116 No. 5 Article 132
We study the mixed Hessian of the dispersionless Toda \(\tau\)-function for the one-harmonic \(s\)-fold symmetric conformal map \(f(w)=r\bigl(w+\zeta w^{1-s}\bigr)\), where \(r>0\) is the exterior conformal radius and \(\zeta>0\) is the dimensionless shape parameter. This Hessian is the susceptibility matrix generated by the inverse conformal map. Our spectral statements are formulated for its weighted symmetry-block realizations ...
Added: November 5, 2026
Kolmogorova A., Ekaterina Yavshitz, Margolina A. et al., Association for Computational Linguistics, 2026.
Automatic classification of aphasia severity presents persistent challenges, particularly for languages with limited clinical speech re sources such as Russian. This paper explores a multimodal approach to severity estimation that combines acoustic and semantic representa tions of pathological speech. Acoustic features are extracted using pretrained Wav2Vec 2.0 models, while semantic information is obtained from the ...
Added: November 4, 2026
IEEE Circuits and Systems Society, 2026.
The international scientific and engineering conference “Systems of Signal Synchronization, Generating and Processing in Telecommunications” has been held since 1974. For 50 years of work the conference has become a widely known forum for specialists of the field.
The papers which are discussed at the conference can be divided into the following chapters:
1) Synchronization Systems and Devices
2) Signal ...
Added: November 4, 2026
Sakharova N., / Series arXiv "math". 2026. No. 2610.17258.
The higher Green's functions Gk/2(z,w) on the modular curve are real-valued eigenfunctions of the hyperbolic Laplacian in each variable, with logarithmic singularities along the diagonal. Gross and Zagier conjectured that their values at CM points, after multiplication by suitable powers of the discriminants, are logarithms of absolute values of algebraic numbers. The conjecture was proved ...
Added: November 4, 2026
Levin A., Sakharova N., / Series arXiv "math". 2024. No. 2412.17795.
The modular curves serve as excellent objects for testing conjectures in arithmetic geometry. They possess a natural geometric definition in contrast with rather nontrivial structure. On the other hand, they are well-studied from the perspective of number theory. Furthermore, there is a well-developed and powerful analytic technique available. We will use the square of the ...
Added: November 4, 2026
Zhuzhoma E. V., Medvedev V., Regular and Chaotic Dynamics 2026 Vol. 31 No. 5 P. 732–742
We study Axiom A diffeomorphisms (in the sense of Smale) on a closed orientable $n$-manifold $M^n$, $n\ge 4$, whose non-wandering sets consist of codimension one orientable attractors, repellers, and isolated saddle periodic orbits with the same Morse index. Such systems combine chaotic dynamics on basic sets with regular dynamics near trivial periodic orbits. We prove ...
Added: November 3, 2026
Zhuzhoma E. V., Medvedev V., Yu B. et al., Chaos 2026 Vol. 36 No. 6 P. 063111–063118
We show that any orientable closed 3-manifold $M$ admits structurally stable non-singular flow $f^t$ whose non-wandering set $NW(f^t)$ consists of a 2-dimensional expanding attractor and finitely many repelling periodic trajectories. For $M=\mathbb{S}^3$, we prove that the set of repelling periodic trajectories can be an arbitrary link provided that this link contains the figure eight knot. ...
Added: November 3, 2026
Zhuzhoma E. V., Zhirov A. Y., Russian Journal of Nonlinear Dynamics 2026 Vol. 22 No. 2 P. 403–414
On a closed orientable surface, we consider the set of axiom A diffeomorphisms whose non-wandering sets consist of connected one-dimensional expanding attractors and contracting repellers (any attractor/repeller is locally homeomorphic to the product of segment and Cantor set). This set consists of $\Omega$-stable diffeomorphisms and structurally unstable diffeomorphisms. We classify such diffeomorphisms up to the ...
Added: November 3, 2026
Elena R. Loubenets, Sergey Kuznetsov, Quantum Information Processing 2026 Vol. 25 Article 358
The optimal implementation of quantum gates for closed $N$-qubit systems is one of the key challenges for practical realization of many quantum information processing tasks. In the present article, based on the generalized Bloch vectors formalism [J. Phys. A: Math. Theor. 54, 195301 (2021)] for a finite-dimensional quantum system, we develop a new \emph{general} model for the ...
Added: November 3, 2026
Zhuzhoma E. V., Medvedev V. S., Yu B., Mathematical notes 2025 Vol. 118 No. 2 P. 421–423
We show that given any orientable closed 3-manifold $M^3$ admits structurally stable non-singular flow $f^t$ whose non-wandering set $NW(f^t)$ consists of 2-dimensional expanding attractor and finitely many repelling periodic trajectories. For $M^3=\mathbb{S}^3$, we prove that the set of repelling periodic trajectories can be an arbitrary link provided this link contains the figure eight knot. ...
Added: November 3, 2026
Akatov M., Polesskiy S., Tuv A. et al., СПб.: Наукоемкие технологии, 2026.
Учебное пособие содержит описания восьми лабораторных работ по дисциплине «Функциональные узлы и компоненты систем контроля и управления»: исследование транзисторных усилительных каскадов, источников тока и токовых зеркал, каскодного и дифференциального каскадов и комплементарного повторителя, основных схем включения операционного усилителя, измерительных выпрямителей и пиковых детекторов, релаксационных генераторов и одновибраторов, линейных стабилизаторов напряжения, измерительного канала с мостовым датчиком, ...
Added: November 3, 2026
Association for Computational Linguistics, 2026.
Findings of the Association for Computational Linguistics: EMNLP 2026 ...
Added: November 3, 2026
Abdulkhadirov T., Ryumina E., Ryumin D. et al., Expert Systems with Applications 2026 Vol. 334 P. 1–29
Assessing human psychological characteristics from speech requires models that can jointly capture affective states, expressive behavior, and relatively stable personality traits. However, most existing speech-based frameworks address isolated tasks and use separate task-specific models. This leads to model proliferation and complicates inference in real-world intelligent systems. Unified models are also difficult to develop because few ...
Added: November 3, 2026
Kazakov A., Kulagin N., Lerman L. et al., Chaos 2026 Vol. 36 No. 11 P. 1–24
We study perturbations of an integrable Hamiltonian system with two degrees of freedom that possesses a saddle-focus equilibrium with a homoclinic skirt—a one-parameter family of homoclinic orbits of the saddle-focus whose stable and unstable invariant manifolds coincide. The perturbations are dissipative, and we consider those that split the skirt completely (i.e., no intersections remain). We are interested ...
Added: November 2, 2026
Kuznetsov S., CEUR Workshop Proceedings 2026 Vol. Vol-4247 P. 27–32
A method for constructing interpretable graph neural networks based on an ordered subsets of "interesting" formal concepts is proposed. Interestingness indices for selecting concepts are compared, namely frequency (extent size) and Δ-stability. The experimental results demonstrate that Δ-stability provides superior performance of the generated networks at the inference stage. ...
Added: November 2, 2026
Sergey Slavnov, / Series math "arxiv.org". 2026.
A prototypical example of categorial grammars are those based on Lambek calculus, i.e. noncommutative intuitionistic linear logic. However, it has been noted that purely noncommutative operations are often not sufficient for modeling even very simple natural language phenomena. Therefore a number of alternative formalisms are considered in the literature: those using purely ``commutative'' linear logic ...
Added: October 29, 2026
Timur Teregulov, Elena R. Loubenets, / Series Quantum Physics "arXiv". 2026. No. 2609.31472.
We develop a new three-party quantum secret-sharing (QSS) protocol based on a three-qubit W state. This protocol encodes the secret-sequence bits using X gates and employs randomly selected Hadamard operations and measurement bases to generate information and security-test rounds. We evaluate the efficiency of the proposed protocol and analyze its security against an internal adversary ...
Added: September 28, 2026
Levashev V., / Series arXiv "math". 2026. No. 2609.06010.
We prove that continuous A-bilinear pairings on the ring of Laurent series that are invariant under continuous automorphisms coincide, up to a constant, with the pairing given by the residue of a differential form over any commutative associative ring with identity. ...
Added: September 24, 2026
Pyatov P. N., Pivovarov P. A., / Series math "arxiv.org". 2026. No. 2609.06274.
We investigate a special ansats that allows for an iterative solution of the constant Yang-Baxter equation. Testing this ansatz, we construct four sequences of the constant R-matrices. In each sequence the R-matrices act on the tensor squares of vector spaces of linearly growing dimensions. Each R-matrix also depends on a single complex parameter.
By analyzing the ...
Added: September 24, 2026
Medvedev V., / Series arXiv "math". 2026.
We study complete static manifolds with boundary admitting a nowhere-vanishing static potential. Our main result shows that, under a natural lower bound relating the scalar curvature and the boundary mean curvature, a simple static manifold with boundary must in fact have positive scalar curvature, negative boundary mean curvature, and be compact; we also obtain explicit ...
Added: September 19, 2026