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Genetic switch systems with mutual repression of two transcription factors are studied using deterministic methods (rate equations) and stochastic methods (the master equation and Monte Carlo simulations). These systems exhibit bistability,…

分子网络 · 定量生物学 2007-05-23 Adiel Loinger , Azi Lipshtat , Nathalie Q. Balaban , Ofer Biham

This study proposes the novel Bayesian and inverse Bayesian (BIB) inference framework that incorporates symmetry bias into the Bayesian updating process to perform both conventional and inverse Bayesian updates concurrently. Conventional…

The present paper defines ST-structures (and an extension of these, called STC-structures). The main purpose is to provide concrete relationships between highly expressive concurrency models coming from two different schools of thought: the…

分布式、并行与集群计算 · 计算机科学 2018-07-24 Cristian Prisacariu

Complex simulators have become a ubiquitous tool in many scientific disciplines, providing high-fidelity, implicit probabilistic models of natural and social phenomena. Unfortunately, they typically lack the tractability required for…

统计方法学 · 统计学 2021-02-24 Sebastian M Schmon , Patrick W Cannon , Jeremias Knoblauch

Converse negative imaginary theorems for linear time-invariant systems are derived. In particular, we provide necessary and sufficient conditions for a feedback system to be robustly stable against various types of negative imaginary (NI)…

系统与控制 · 电气工程与系统科学 2023-11-21 Sei Zhen Khong , Di Zhao , Alexander Lanzon

The Bayesian perspective on inverse problems has attracted much mathematical attention in recent years. Particular attention has been paid to Bayesian inverse problems (BIPs) in which the parameter to be inferred lies in an…

概率论 · 数学 2017-10-17 T. J. Sullivan

Conservative inference is a major concern in simulation-based inference. It has been shown that commonly used algorithms can produce overconfident posterior approximations. Balancing has empirically proven to be an effective way to mitigate…

This paper introduces a new behavioral system model with distinct external and internal signals possibly evolving on different time scales. This allows to capture abstraction processes or signal aggregation in the context of control and…

系统与控制 · 计算机科学 2014-02-17 Anne-Kathrin Schmuck , Jörg Raisch

We present a study of the notion of coalgebraic simulation introduced by Hughes and Jacobs. Although in their original paper they allow any functorial order in their definition of coalgebraic simulation, for the simulation relations to have…

计算机科学中的逻辑 · 计算机科学 2024-02-05 Ignacio Fábregas , David de Frutos-Escrig , Miguel Palomino

We consider the use of randomised forward models and log-likelihoods within the Bayesian approach to inverse problems. Such random approximations to the exact forward model or log-likelihood arise naturally when a computationally expensive…

统计理论 · 数学 2019-10-29 H. C. Lie , T. J. Sullivan , A. L. Teckentrup

Many backdoor removal techniques in machine learning models require clean in-distribution data, which may not always be available due to proprietary datasets. Model inversion techniques, often considered privacy threats, can reconstruct…

计算机视觉与模式识别 · 计算机科学 2023-03-27 Si Chen , Yi Zeng , Jiachen T. Wang , Won Park , Xun Chen , Lingjuan Lyu , Zhuoqing Mao , Ruoxi Jia

Design-based simulations - procedures that hold realized outcomes fixed and generate variation by resampling treatment assignment or shocks - are widely used in both methodological and applied work to assess inference procedures. This paper…

计量经济学 · 经济学 2026-03-13 Bruno Ferman

In Generalised Bayesian Inference (GBI), the learning rate and hyperparameters of the loss must be estimated. These inference-hyperparameters can't be estimated jointly with the other parameters, from the data, by giving them a prior.…

统计方法学 · 统计学 2026-05-18 Jeong Eun Lee , Sitong Liu , Geoff K. Nicholls

This paper studies the existence of finite equational axiomatisations of the interleaving parallel composition operator modulo the behavioural equivalences in van Glabbeek's linear time-branching time spectrum. In the setting of the process…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Luca Aceto , Valentina Castiglioni , Anna Ingolfsdottir , Bas Luttik , Mathias R. Pedersen

When an inverse problem is solved by a gradient-based optimization algorithm, the corresponding forward and adjoint problems, which are introduced to compute the gradient, can be also solved iteratively. The idea of iterating at the same…

数值分析 · 数学 2025-01-23 Marcella Bonazzoli , Houssem Haddar , Tuan Anh Vu

We study stable matchings that are robust to preference changes in the two-sided stable matching setting of Gale and Shapley [GS62]. Given two instances $A$ and $B$ on the same set of agents, a matching is said to be robust if it is stable…

计算机科学与博弈论 · 计算机科学 2026-01-14 Rohith Reddy Gangam , Tung Mai , Nitya Raju , Vijay V. Vazirani

Many unsupervised hashing methods are implicitly established on the idea of reconstructing the input data, which basically encourages the hashing codes to retain as much information of original data as possible. However, this requirement…

计算机视觉与模式识别 · 计算机科学 2021-05-20 Zexuan Qiu , Qinliang Su , Zijing Ou , Jianxing Yu , Changyou Chen

Bayesian inference is often implemented using approximations, which can yield interval estimates that are too narrow, not fully capturing the uncertainty in the posterior distribution. We address the question of how to adjust these…

统计方法学 · 统计学 2026-03-23 Tiffany Cai , Philip Greengard , Ben Goodrich , Andrew Gelman

The information bottleneck (IB) method offers an attractive framework for understanding representation learning, however its applications are often limited by its computational intractability. Analytical characterization of the IB method is…

信息论 · 计算机科学 2023-04-03 Vudtiwat Ngampruetikorn , David J. Schwab

Information bottleneck (IB) principle [1] has become an important element in information-theoretic analysis of deep models. Many state-of-the-art generative models of both Variational Autoencoder (VAE) [2; 3] and Generative Adversarial…

计算机视觉与模式识别 · 计算机科学 2019-12-06 Slava Voloshynovskiy , Mouad Kondah , Shideh Rezaeifar , Olga Taran , Taras Holotyak , Danilo Jimenez Rezende