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We investigate how classifiers for Boolean networks (BNs) can be constructed and modified under constraints. A typical constraint is to observe only states in attractors or even more specifically steady states of BNs. Steady states of BNs…

交换代数 · 数学 2021-08-20 Robert Schwieger , Matías R. Bender , Heike Siebert , Christian Haase

The design of reliable indicators to anticipate critical transitions in complex systems is an im portant task in order to detect a coming sudden regime shift and to take action in order to either prevent it or mitigate its consequences. We…

数据分析、统计与概率 · 物理学 2022-12-14 Martin Heßler , Oliver Kamps

In this paper, we consider Bayesian point estimation and predictive density estimation in the binomial case. After presenting preliminary results on these problems, we compare the risk functions of the Bayes estimators based on the…

统计理论 · 数学 2021-09-13 Yasuyuki Hamura

We consider the problem of computing reach-avoid probabilities for iterative predictions made with Bayesian neural network (BNN) models. Specifically, we leverage bound propagation techniques and backward recursion to compute lower bounds…

机器学习 · 计算机科学 2021-06-22 Matthew Wicker , Luca Laurenti , Andrea Patane , Nicola Paoletti , Alessandro Abate , Marta Kwiatkowska

Recent advances in machine translation (MT) have shown that Minimum Bayes Risk (MBR) decoding can be a powerful alternative to beam search decoding, especially when combined with neural-based utility functions. However, the performance of…

计算与语言 · 计算机科学 2023-05-19 Markus Freitag , Behrooz Ghorbani , Patrick Fernandes

Inferring the exact parameters of a neural network with only query access is an NP-Hard problem, with few practical existing algorithms. Solutions would have major implications for security, verification, interpretability, and understanding…

机器学习 · 计算机科学 2024-10-01 Judah Goldfeder , Quinten Roets , Gabe Guo , John Wright , Hod Lipson

Almost all optimization algorithms have algorithm-dependent parameters, and the setting of such parameter values can largely influence the behaviour of the algorithm under consideration. Thus, proper parameter tuning should be carried out…

人工智能 · 计算机科学 2023-08-31 Geethu Joy , Christian Huyck , Xin-She Yang

Many algorithms for score-based Bayesian network structure learning (BNSL), in particular exact ones, take as input a collection of potentially optimal parent sets for each variable in the data. Constructing such collections naively is…

机器学习 · 统计学 2020-08-04 Alvaro H. C. Correia , James Cussens , Cassio de Campos

We present a novel Bayesian inference tool that uses a neural network to parameterise efficient Markov Chain Monte-Carlo (MCMC) proposals. The target distribution is first transformed into a diagonal, unit variance Gaussian by a series of…

宇宙学与河外天体物理 · 物理学 2020-06-03 Adam Moss

We address the problem of automatically finding the parameters of a statistical machine translation system that maximize BLEU scores while ensuring that decoding speed exceeds a minimum value. We propose the use of Bayesian Optimization to…

计算与语言 · 计算机科学 2016-04-19 Daniel Beck , Adrià de Gispert , Gonzalo Iglesias , Aurelien Waite , Bill Byrne

Randomized experiments are the gold standard for evaluating the effects of changes to real-world systems. Data in these tests may be difficult to collect and outcomes may have high variance, resulting in potentially large measurement error.…

机器学习 · 统计学 2018-06-27 Benjamin Letham , Brian Karrer , Guilherme Ottoni , Eytan Bakshy

We consider Bayesian analysis of a class of multiple changepoint models. While there are a variety of efficient ways to analyse these models if the parameters associated with each segment are independent, there are few general approaches…

统计计算 · 统计学 2009-10-19 Paul Fearnhead , Zhen Liu

We continue studies of the uncertainty quantification problem in emission tomographies such as PET or SPECT when additional multimodal data (e.g., anatomical MRI images) are available. To solve the aforementioned problem we adapt the…

机器学习 · 统计学 2021-12-03 Fedor Goncharov , Éric Barat , Thomas Dautremer

The paper presents a scheme for computing lower and upper bounds on the posterior marginals in Bayesian networks with discrete variables. Its power lies in its ability to use any available scheme that bounds the probability of evidence or…

人工智能 · 计算机科学 2014-01-17 Bozhena Bidyuk , Rina Dechter , Emma Rollon

Different change-point type models encountered in statistical inference for stochastic processes give rise to different limiting likelihood ratio processes. In this paper we consider two such likelihood ratios. The first one is an…

统计理论 · 数学 2010-04-05 Serguei Dachian

Boolean networks (BNs) are important models for gene regulatory networks and many other biological systems. In this paper, we study the minimal controllability problem of threshold and XOR BNs with degree constraints. Firstly, we derive…

系统与控制 · 电气工程与系统科学 2025-09-22 Christopher H. Fok , Liangjie Sun , Tatsuya Akutsu , Wai-Ki Ching

In this paper we propose a new approach for sequential monitoring of a parameter of a $d$-dimensional time series, which can be estimated by approximately linear functionals of the empirical distribution function. We consider a…

统计理论 · 数学 2018-11-26 Holger Dette , Josua Gösmann

Boolean networks are powerful mathematical tools for modeling the qualitative dynamics of genetic regulation. Yet inferred models often generate spurious attractors that lack biological viability. In this paper, we propose a parsimonious…

This study investigates the application of Bayesian Optimization (BO) for the hyperparameter tuning of neural networks, specifically targeting the enhancement of Convolutional Neural Networks (CNN) for image classification tasks. Bayesian…

机器学习 · 计算机科学 2024-10-30 Gabriele Onorato

A parameterised Boolean equation system (PBES) is a set of equations that defines sets as the least and/or greatest fixed-points that satisfy the equations. This system is regarded as a declarative program defining functions that take a…

计算机科学中的逻辑 · 计算机科学 2017-01-04 Yutaro Nagae , Masahiko Sakai , Hiroyuki Seki