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In this paper, we study the problem of deriving fast and accurate classification algorithms with uncertainty quantification. Gaussian process classification provides a principled approach, but the corresponding computational burden is…

Machine Learning · Computer Science 2018-05-29 Dimitrios Milios , Raffaello Camoriano , Pietro Michiardi , Lorenzo Rosasco , Maurizio Filippone

Innovation in synthetic biology often still depends on large-scale experimental trial-and-error, domain expertise, and ingenuity. The application of rational design engineering methods promise to make this more efficient, faster, cheaper…

Molecular Networks · Quantitative Biology 2021-08-18 Robyn P. Araujo , Sean T. Vittadello , Michael P. H. Stumpf

Bayesian Optimization is a sample-efficient black-box optimization procedure that is typically applied to problems with a small number of independent objectives. However, in practice we often wish to optimize objectives defined over many…

Machine Learning · Computer Science 2021-10-29 Wesley J. Maddox , Maximilian Balandat , Andrew Gordon Wilson , Eytan Bakshy

Gaussian processes (GPs) are pervasive in functional data analysis, machine learning, and spatial statistics for modeling complex dependencies. Modern scientific data sets are typically heterogeneous and often contain multiple known…

Methodology · Statistics 2021-10-19 Didong Li , Andrew Jones , Sudipto Banerjee , Barbara E. Engelhardt

Causal inference has recently gained notable attention across various fields like biology, healthcare, and environmental science, especially within explainable artificial intelligence (xAI) systems, for uncovering the causal relationships…

Machine Learning · Computer Science 2025-01-13 Xiaofeng Xiao , Khawlah Alharbi , Pengyu Zhang , Hantang Qin , Xubo Yue

There is growing interest in engineering unconventional computing devices that leverage the intrinsic dynamics of physical substrates to perform fast and energy-efficient computations. Granular metamaterials are one such substrate that has…

Machine Learning · Computer Science 2024-04-09 Atoosa Parsa , Corey S. O'Hern , Rebecca Kramer-Bottiglio , Josh Bongard

Generating novel graph structures that optimize given objectives while obeying some given underlying rules is fundamental for chemistry, biology and social science research. This is especially important in the task of molecular graph…

Machine Learning · Computer Science 2019-02-26 Jiaxuan You , Bowen Liu , Rex Ying , Vijay Pande , Jure Leskovec

Bayesian optimization has been successful at global optimization of expensive-to-evaluate multimodal objective functions. However, unlike most optimization methods, Bayesian optimization typically does not use derivative information. In…

Machine Learning · Statistics 2018-02-08 Jian Wu , Matthias Poloczek , Andrew Gordon Wilson , Peter I. Frazier

Bayesian optimization (BO) is an effective paradigm for the optimization of expensive-to-sample systems. Standard BO learns the performance of a system $f(x)$ by using a Gaussian Process (GP) model; this treats the system as a black-box and…

Machine Learning · Statistics 2025-01-03 Leonardo D. González , Victor M. Zavala

Large language models (LLMs) can perform accurate classification with zero or few examples through in-context learning. We extend this capability to regression with uncertainty estimation using frozen LLMs (e.g., GPT-3.5, Gemini), enabling…

Chemical Physics · Physics 2025-05-16 Mayk Caldas Ramos , Shane S. Michtavy , Marc D. Porosoff , Andrew D. White

Within recent years, considerable progress has been made regarding high-performance solvers for Partial Differential Equations (PDEs), yielding potential gains in efficiency compared to industry standard tools. However, the latter largely…

Numerical Analysis · Mathematics 2024-02-20 Patrick Zimbrod , Michael Fleck , Johannes Schilp

With the continued increase in the use of Bayesian methods in drug development, there is a need for statisticians to have tools to develop robust and defensible informative prior distributions. Whilst relevant empirical data should, where…

Applications · Statistics 2017-09-01 Nigel Dallow , Nicky Best , Timothy Montague

The use of mathematical models to make predictions about tumor growth and response to treatment has become increasingly more prevalent in the clinical setting. The level of complexity within these models ranges broadly, and the calibration…

Quantitative Methods · Quantitative Biology 2021-12-28 Allison L. Lewis , Kathleen M. Storey , Heyrim Cho , Anna C. Zittle

Bayesian optimal experimental design (BOED) selects experiments to maximize information gain about model parameters. However, in decision-critical settings, reducing parameter uncertainty does not necessarily improve downstream decisions,…

Machine Learning · Computer Science 2026-05-26 Jinwoo Go , Xiaoning Qian , Byung-Jun Yoon

Bayesian approaches developed to solve the optimal design of sequential experiments are mathematically elegant but computationally challenging. Recently, techniques using amortization have been proposed to make these Bayesian approaches…

Machine Learning · Computer Science 2022-06-20 Tom Blau , Edwin V. Bonilla , Iadine Chades , Amir Dezfouli

A feature selection algorithm should ideally satisfy four conditions: reliably extract relevant features; be able to identify non-linear feature interactions; scale linearly with the number of features and dimensions; allow the…

Machine Learning · Computer Science 2019-01-15 Zhixiang Eddie Xu , Gao Huang , Kilian Q. Weinberger , Alice X. Zheng

Bayesian optimisation is a well-known sample-efficient method for the optimisation of expensive black-box functions. However when dealing with big search spaces the algorithm goes through several low function value regions before reaching…

Machine Learning · Computer Science 2020-03-31 Anil Ramachandran , Sunil Gupta , Santu Rana , Cheng Li , Svetha Venkatesh

Fluid ferroelectrics, a recently discovered class of liquid crystals that exhibit switchable, long-range polar order, offer opportunities in ultrafast electro-optic technologies, responsive soft matter, and next-generation energy materials.…

Self-driving laboratories (SDLs) are combining recent technological advances in robotics, automation, and machine learning based data analysis and decision-making to perform autonomous experimentation toward human-directed goals without…

Machine Learning · Computer Science 2025-12-18 Luca Torresi , Pascal Friederich

We present the sliding basis computational framework to automatically synthesize heterogeneous (graded or discrete) material fields for parts designed using constrained optimization. Our framework uses the fact that any spatially varying…

Computational Engineering, Finance, and Science · Computer Science 2020-05-19 Nurcan Gecer Ulu , Svyatoslav Korneev , Erva Ulu , Saigopal Nelaturi