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Gaussian Boson Sampling (GBS) is capable of solving certain classes of graph problems owing to the samples produced by such a device having a connection to the hafnian matrix function. In particular, a GBS device has been shown to provide…

Quantum Physics · Physics 2026-05-28 Ewan Mer , Zhenghao Li , Shang Yu , Ian A. Walmsley , Raj B. Patel

Bayesian Optimization (BO) has shown significant success in tackling expensive low-dimensional black-box optimization problems. Many optimization problems of interest are high-dimensional, and scaling BO to such settings remains an…

Machine Learning · Statistics 2022-06-02 Eric Han , Ishank Arora , Jonathan Scarlett

Estimating conditional independence graphs from high-dimensional Gaussian data is challenging because methods must detect relevant edges while rigorously controlling statistical errors. We propose a Bayesian framework based on a prior…

Methodology · Statistics 2026-04-21 Roland B. Sogan , Tabea Rebafka , Fanny Villers

In discrete choice experiments, the information matrix depends on the model parameters. Therefore designing optimally informative experiments for arbitrary initial parameters often yields highly nonlinear optimization problems and makes…

Statistics Theory · Mathematics 2025-07-18 Frank Röttger , Thomas Kahle , Rainer Schwabe

We propose a new nonlinear factorization model for graphs that are with topological structures, and optionally, node attributes. This model is based on a pseudometric called Gromov-Wasserstein (GW) discrepancy, which compares graphs in a…

Machine Learning · Computer Science 2019-11-21 Hongteng Xu

The ability of Gaussian processes (GPs) to predict the behavior of dynamical systems as a more sample-efficient alternative to parametric models seems promising for real-world robotics research. However, the computational complexity of GPs…

Robotics · Computer Science 2022-03-01 Abdolreza Taheri , Joni Pajarinen , Reza Ghabcheloo

Grasp planning for multi-fingered hands is still a challenging task due to the high nonlinear quality metrics, the high dimensionality of hand posture configuration, and complex object shapes. Analytical-based grasp planning algorithms…

Robotics · Computer Science 2021-05-26 Jianjie Lin , Markus Rickert , Alois Knoll

Recent years have witnessed a huge demand for artificial intelligence and machine learning applications in wireless edge networks to assist individuals with real-time services. Owing to the practical setting and privacy preservation of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-08 Shuai Wang , Yanqing Xu , Yanyi Yuan , Tony Q. S. Quek

It is of fundamental importance to find algorithms obtaining optimal performance for learning of statistical models in distributed and communication limited systems. Aiming at characterizing the optimal strategies, we consider learning of…

Machine Learning · Statistics 2017-05-09 Mostafa Tavassolipour , Seyed Abolfazl Motahari , Mohammad-Taghi Manzuri Shalmani

Machine learning algorithms frequently require careful tuning of model hyperparameters, regularization terms, and optimization parameters. Unfortunately, this tuning is often a "black art" that requires expert experience, unwritten rules of…

Machine Learning · Statistics 2012-08-30 Jasper Snoek , Hugo Larochelle , Ryan P. Adams

We propose a non-iterative method to optimize pseudo-labeling thresholds for learning object detection from a collection of low-cost datasets, each of which is annotated for only a subset of all the object classes. A popular approach to…

Computer Vision and Pattern Recognition · Computer Science 2022-10-21 Yuki Tanaka , Shuhei M. Yoshida , Makoto Terao

Bayesian optimization is proposed for automatic learning of optimal controller parameters from experimental data. A probabilistic description (a Gaussian process) is used to model the unknown function from controller parameters to a…

Systems and Control · Computer Science 2019-01-24 Matthias Neumann-Brosig , Alonso Marco , Dieter Schwarzmann , Sebastian Trimpe

In this paper, we address the problem of learning the structure of a pairwise graphical model from samples in a high-dimensional setting. Our first main result studies the sparsistency, or consistency in sparsity pattern recovery,…

Machine Learning · Computer Science 2012-02-28 Ali Jalali , Chris Johnson , Pradeep Ravikumar

Maximizing a non-negative, monontone, submodular function $f$ over $n$ elements under a cardinality constraint $k$ (SMCC) is a well-studied NP-hard problem. It has important applications in, e.g., machine learning and influence…

Data Structures and Algorithms · Computer Science 2024-02-05 Philip Cervenjak , Junhao Gan , Anthony Wirth

Pareto Front Learning (PFL) was recently introduced as an efficient method for approximating the entire Pareto front, the set of all optimal solutions to a Multi-Objective Optimization (MOO) problem. In the previous work, the mapping…

Optimization and Control · Mathematics 2023-08-15 Tran Anh Tuan , Long P. Hoang , Dung D. Le , Tran Ngoc Thang

The best algorithm for a computational problem generally depends on the "relevant inputs," a concept that depends on the application domain and often defies formal articulation. While there is a large literature on empirical approaches to…

Machine Learning · Computer Science 2016-09-06 Rishi Gupta , Tim Roughgarden

A recent novel extension of multi-output Gaussian processes handles heterogeneous outputs assuming that each output has its own likelihood function. It uses a vector-valued Gaussian process prior to jointly model all likelihoods' parameters…

Machine Learning · Statistics 2020-07-15 Juan-José Giraldo , Mauricio A. Álvarez

We present a novel framework for PDE-constrained $r$-adaptivity of high-order meshes. The proposed method formulates mesh movement as an optimization problem, with an objective function defined as a convex combination of a mesh quality…

Numerical Analysis · Mathematics 2025-07-03 Tzanio Kolev , Boyan Lazarov , Ketan Mittal , Mathias Schmidt , Vladimir Tomov

In this work, we study the maximum matching problem from the perspective of sensitivity. The sensitivity of an algorithm $A$ on a graph $G$ is defined as the maximum Wasserstein distance between the output distributions of $A$ on $G$ and on…

Data Structures and Algorithms · Computer Science 2025-11-24 Yuichi Yoshida , Zihan Zhang

Single-objective black box optimization (also known as zeroth-order optimization) is the process of minimizing a scalar objective $f(x)$, given evaluations at adaptively chosen inputs $x$. In this paper, we consider multi-objective…

Machine Learning · Computer Science 2020-06-11 Daniel Golovin , Qiuyi Zhang