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We present an efficient, principled, and interpretable technique for inferring module assignments and for identifying the optimal number of modules in a given network. We show how several existing methods for finding modules can be…

数据分析、统计与概率 · 物理学 2008-06-23 Jake M. Hofman , Chris H. Wiggins

This paper presents an advancement to an approach for model-independent surrogate-based optimization with adaptive batch sampling, known as Adaptive Model Refinement (AMR). While the original AMR method provides unique decisions with…

最优化与控制 · 数学 2019-06-04 Payam Ghassemi , Sumeet Sanjay Lulekar , Souma Chowdhury

Mathematical Selection is a method in which we select a particular choice from a set of such. It have always been an interesting field of study for mathematicians. Accordingly, Combinatorial Optimization is a sub field of this domain of…

计算复杂性 · 计算机科学 2023-06-29 Anurag Dutta , K. Lakshmanan , A. Ramamoorthy , Liton Chandra Voumik , John Harshith , John Pravin Motha

Optimizing expensive black-box objectives over mixed search spaces is a common challenge across the natural sciences. Bayesian optimization (BO) offers sample-efficient strategies through probabilistic surrogate models and acquisition…

机器学习 · 计算机科学 2026-04-10 Yuhao Zhang , Ti John , Matthias Stosiek , Patrick Rinke

Bayesian optimization is a powerful optimization tool for problems where native first-order derivatives are unavailable. Recently, constrained Bayesian optimization (CBO) has been applied to many engineering applications where constraints…

最优化与控制 · 数学 2024-03-21 J. Wang , C. G. Petra , J. L. Peterson

This study proposes the first Bayesian approach for learning high-dimensional linear Bayesian networks. The proposed approach iteratively estimates each element of the topological ordering from backward and its parent using the inverse of a…

机器学习 · 统计学 2023-11-28 Seyong Hwang , Kyoungjae Lee , Sunmin Oh , Gunwoong Park

Bayesian optimisation (BO) is a powerful framework for global optimisation of costly functions, using predictions from Gaussian process models (GPs). In this work, we apply BO to functions that exhibit invariance to a known group of…

机器学习 · 计算机科学 2024-10-23 Theodore Brown , Alexandru Cioba , Ilija Bogunovic

Approximate Bayesian Computation is widely used in systems biology for inferring parameters in stochastic gene regulatory network models. Its performance hinges critically on the ability to summarize high-dimensional system responses such…

机器学习 · 统计学 2021-04-13 Mattias Åkesson , Prashant Singh , Fredrik Wrede , Andreas Hellander

The performance of deep (reinforcement) learning systems crucially depends on the choice of hyperparameters. Their tuning is notoriously expensive, typically requiring an iterative training process to run for numerous steps to convergence.…

机器学习 · 计算机科学 2021-01-19 Vu Nguyen , Sebastian Schulze , Michael A Osborne

Low-bit width neural networks have been extensively explored for deployment on edge devices to reduce computational resources. Existing approaches have focused on gradient-based optimization in a two-stage train-and-compress setting or as a…

机器学习 · 计算机科学 2022-06-07 Han Zhou , Aida Ashrafi , Matthew B. Blaschko

We address online linear optimization problems when the possible actions of the decision maker are represented by binary vectors. The regret of the decision maker is the difference between her realized loss and the best loss she would have…

机器学习 · 计算机科学 2013-04-02 Jean-Yves Audibert , Sébastien Bubeck , Gábor Lugosi

Bayesian Optimization is the state of the art technique for the optimization of black boxes, i.e., functions where we do not have access to their analytical expression nor its gradients, they are expensive to evaluate and its evaluation is…

人工智能 · 计算机科学 2021-01-13 Eduardo C. Garrido Merchán , Luis C. Jariego Pérez

We propose a Bayesian neural network-based continual learning algorithm using Variational Inference, aiming to overcome several drawbacks of existing methods. Specifically, in continual learning scenarios, storing network parameters at each…

机器学习 · 计算机科学 2024-11-22 Sanchar Palit , Biplab Banerjee , Subhasis Chaudhuri

We use Bayesian optimization to learn curricula for word representation learning, optimizing performance on downstream tasks that depend on the learned representations as features. The curricula are modeled by a linear ranking function…

计算与语言 · 计算机科学 2016-06-22 Yulia Tsvetkov , Manaal Faruqui , Wang Ling , Brian MacWhinney , Chris Dyer

We consider a class of combinatorial optimization problems that emerge in a variety of domains among which: condensed matter physics, theory of financial risks, error correcting codes in information transmissions, molecular and protein…

数值分析 · 数学 2025-10-20 L. Bussolari , P. Contucci , C. Giardina' , C. Giberti , F. Unguendoli , C. Vernia

Multiobjective combinatorial optimization deals with problems considering more than one viewpoint or scenario. The problem of aggregating multiple criteria to obtain a globalizing objective function is of special interest when the number of…

最优化与控制 · 数学 2013-06-07 Elena Fernández , Miguel A. Pozo , Justo Puerto

We are interested in a framework of online learning with kernels for low-dimensional but large-scale and potentially adversarial datasets. We study the computational and theoretical performance of online variations of kernel Ridge…

机器学习 · 统计学 2019-05-30 Rémi Jézéquel , Pierre Gaillard , Alessandro Rudi

In this paper, we investigate the capacitated assortment optimization problem with pricing under the paired combinatorial logit model, whose goal is to identify the revenue-maximizing subset of products as well as their selling prices…

最优化与控制 · 数学 2018-10-24 Daihan Zhang , Zhenghe Zhong , Chuning Gao , Rui Chen

It is increasingly common to solve combinatorial optimisation problems that are partially-specified. We survey the case where the objective function or the relations between variables are not known or are only partially specified. The…

Combinatorial multi-armed bandits provide a fundamental online decision-making environment where a decision-maker interacts with an environment across $T$ time steps, each time selecting an action and learning the cost of that action. The…

机器学习 · 计算机科学 2026-04-13 Gerdus Benadè , Rathish Das , Thomas Lavastida