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We present a novel approach to termination analysis. In a first step, the analysis uses a program as a black-box which exhibits only a finite set of sample traces. Each sample trace is infinite but can be represented by a finite lasso. The…

计算机科学中的逻辑 · 计算机科学 2022-10-18 Matthias Heizmann , Jochen Hoenicke , Andreas Podelski

We obtain new bounds for the optimal matching cost for empirical measures with unbounded support. For a large class of radially symmetric and rapidly decaying probability laws, we prove for the first time the asymptotic rate of convergence…

概率论 · 数学 2024-07-10 Emanuele Caglioti , Michael Goldman , Francesca Pieroni , Dario Trevisan

In this work we study the asymptotic consistency of the weak-form sparse identification of nonlinear dynamics algorithm (WSINDy) in the identification of differential equations from noisy samples of solutions. We prove that the WSINDy…

数值分析 · 数学 2022-11-30 Daniel A. Messenger , David M. Bortz

We consider linear cost-register automata (equivalent to weighted automata) over the semiring of nonnegative rationals, which generalise probabilistic automata. The two problems of boundedness and zero isolation ask whether there is a…

形式语言与自动机理论 · 计算机科学 2022-05-27 Wojciech Czerwiński , Engel Lefaucheux , Filip Mazowiecki , David Purser , Markus A. Whiteland

The performances of the automatic speaker verification (ASV) systems degrade due to the reduction in the amount of speech used for enrollment and verification. Combining multiple systems based on different features and classifiers…

计算机视觉与模式识别 · 计算机科学 2019-02-01 Arnab Poddar , Md Sahidullah , Goutam Saha

This article is focused on the asymptotic expansions, as time tends to infinity, of solutions of a system of ordinary differential equations with non-smooth nonlinear terms. The forcing function decays to zero in a very complicated but…

经典分析与常微分方程 · 数学 2024-11-04 Luan Hoang

In real-time systems, in addition to the functional correctness recurrent tasks must fulfill timing constraints to ensure the correct behavior of the system. Partitioned scheduling is widely used in real-time systems, i.e., the tasks are…

数据结构与算法 · 计算机科学 2018-09-13 Jian-Jia Chen , Nikhil Bansal , Samarjit Chakraborty , Georg von der Brüggen

In this paper we consider the reachability problem for bounded branching VASS. Bounded VASS are a variant of the classic VASS model where all values in all configurations are upper bounded by a fixed natural number, encoded in binary in the…

形式语言与自动机理论 · 计算机科学 2019-08-20 Filip Mazowiecki , Michał Pilipczuk

We consider the problem of formally verifying almost-sure (a.s.) asymptotic stability in discrete-time nonlinear stochastic control systems. While verifying stability in deterministic control systems is extensively studied in the…

机器学习 · 计算机科学 2021-12-20 Mathias Lechner , Đorđe Žikelić , Krishnendu Chatterjee , Thomas A. Henzinger

Asymmetric Numeral Systems (ANS) is a class of entropy encoders that had an immense impact on the data compression, substituting arithmetic and Huffman coding. It was studied by different authors but the precise asymptotics of its…

信息论 · 计算机科学 2026-02-04 Dmitry Kosolobov

We consider the Vlasov--Poisson system in a $C^3$ convex domain $D$ with a perfectly conducting wall. We introduce the asymptotic domain $D_{\infty}$ for the domain $D$. Then under acceptable assumptions on $D$, we show that for localized…

偏微分方程分析 · 数学 2026-05-01 Wenrui Huang , Benoît Pausader , Masahiro Suzuki

In this paper we present a generic framework for the asymptotic performance analysis of subspace-based parameter estimation schemes. It is based on earlier results on an explicit first-order expansion of the estimation error in the signal…

性能 · 计算机科学 2012-09-17 Florian Roemer , Martin Haardt

The omega-regular separability problem for B\"uchi VASS coverability languages has recently been shown to be decidable, but with an EXPSPACE lower and a non-primitive recursive upper bound -- the exact complexity remained open. We close…

形式语言与自动机理论 · 计算机科学 2024-06-04 Pascal Baumann , Eren Keskin , Roland Meyer , Georg Zetzsche

In this paper we propose and analyse a hybrid numerical-asymptotic boundary element method for the solution of problems of high frequency acoustic scattering by a class of sound-soft nonconvex polygons. The approximation space is enriched…

数值分析 · 数学 2014-01-14 David P. Hewett , Simon N. Chandler-Wilde , Stephen Langdon , Ashley Twigger

For the constrained LiGME model, a nonconvexly regularized least squares estimation model, we present an iterative algorithm of guaranteed convergence to its globally optimal solution. The proposed algorithm can deal with two different…

最优化与控制 · 数学 2024-04-05 Wataru Yata , Isao Yamada

A central computational problem for analyzing and model checking various classes of infinite-state recursive probabilistic systems (including quasi-birth-death processes, multi-type branching processes, stochastic context-free grammars,…

计算机科学中的逻辑 · 计算机科学 2013-04-30 Alistair Stewart , Kousha Etessami , Mihalis Yannakakis

A variety of complex biological, natural and man-made systems exhibit non-Markovian dynamics that can be modeled through fractional order differential equations, yet, we lack sample comlexity aware system identification strategies. Towards…

系统与控制 · 电气工程与系统科学 2025-06-23 Xiaole Zhang , Vijay Gupta , Paul Bogdan

We address the problem of learning an unknown smooth function and its derivatives from noisy pointwise evaluations under the supremum norm. While classical nonparametric regression provides a strong theoretical foundation, traditional…

机器学习 · 计算机科学 2026-03-10 Davide Maran , Marcello Restelli

Length generalization is the ability of a learning algorithm to learn a hypothesis which generalizes to longer inputs than the inputs in the training set. In this paper, we provide provable guarantees of length generalization for various…

机器学习 · 计算机科学 2025-06-09 Thomas Chen , Tengyu Ma , Zhiyuan Li

Termination is one of the basic liveness properties, and we study the termination problem for probabilistic programs with real-valued variables. Previous works focused on the qualitative problem that asks whether an input program terminates…

编程语言 · 计算机科学 2016-11-17 Krishnendu Chatterjee , Petr Novotný , Đorđe Žikelić