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Maximilian Balandat

23 accepted papers

2026

Empirical Gaussian Processes

ICML 2026poster

Gaussian processes (GPs) are powerful and widely used probabilistic regression models, but their effectiveness in practice is often limited by the choice of kernel function. This kernel function is typically handcrafted from a small set of standard functions, a process that requires expert knowledge…

Cited by 0SourceScholar
2026

LILO: Bayesian Optimization with Natural Language Feedback

ICML 2026poster

Many real-world optimization problems are guided by complex, subjective preferences that are difficult to express as explicit closed-form objectives. In response, we introduce Language-in-the-Loop Optimization (LILO), a Bayesian optimization (BO) framework that employs a large language model (LLM) t…

Cited by 0SourceScholar
2025

Informed Initialization for Bayesian Optimization and Active Learning

NeurIPS 2025poster

Bayesian Optimization (BO) is a widely used method for optimizing expensive black-box functions, relying on probabilistic surrogate models such as Gaussian Processes (GPs). The quality of the surrogate model is crucial for good optimization performance, especially in the few-shot setting where only…

Cited by 0SourceScholar
2025

Scalable Gaussian Processes with Latent Kronecker Structure

ICML 2025poster

Applying Gaussian processes (GPs) to very large datasets remains a challenge due to limited computational scalability. Matrix structures, such as the Kronecker product, can accelerate operations significantly, but their application commonly entails approximations or unrealistic assumptions. In parti…

Cited by 0SourcePDFScholar
2024

Accelerating Look-ahead in Bayesian Optimization: Multilevel Monte Carlo is All you Need

ICML 2024poster

We leverage multilevel Monte Carlo (MLMC) to improve the performance of multi-step look- ahead Bayesian optimization (BO) methods that involve nested expectations and maximizations. Often these expectations must be computed by Monte Carlo (MC). The complexity rate of naive MC degrades for nested ope…

2024

Bayesian Optimization of Function Networks with Partial Evaluations

ICML 2024poster

Bayesian optimization is a powerful framework for optimizing functions that are expensive or time-consuming to evaluate. Recent work has considered Bayesian optimization of function networks (BOFN), where the objective function is given by a network of functions, each taking as input the output of p…

2024

Joint Composite Latent Space Bayesian Optimization

ICML 2024poster

Bayesian Optimization (BO) is a technique for sample-efficient black-box optimization that employs probabilistic models to identify promising input for evaluation. When dealing with composite-structured functions, such as $f=g \circ h$, evaluating a specific location $x$ yields observations of both…

2024

Robust Gaussian Processes via Relevance Pursuit

NeurIPS 2024poster

Gaussian processes (GPs) are non-parametric probabilistic regression models that are popular due to their flexibility, data efficiency, and well-calibrated uncertainty estimates. However, standard GP models assume homoskedastic Gaussian noise, while many real-world applications are subject to non-Ga…

Cited by 1SourcePDFScholar
2023

Bayesian Optimization over High-Dimensional Combinatorial Spaces via Dictionary-based Embeddings

AISTATS 2023poster

We consider the problem of optimizing expensive black-box functions over high-dimensional combinatorial spaces which arises in many science, engineering, and ML applications. We use Bayesian Optimization (BO) and propose a novel surrogate modeling approach for efficiently handling a large number of…

2023

Hypervolume Knowledge Gradient: A Lookahead Approach for Multi-Objective Bayesian Optimization with Partial Information

ICML 2023poster

Bayesian optimization is a popular method for sample efficient multi-objective optimization. However, existing Bayesian optimization techniques fail to effectively exploit common and often-neglected problem structure such as decoupled evaluations, where objectives can be queried independently from o…

Cited by 18SourcePDFScholar
2023

Unexpected Improvements to Expected Improvement for Bayesian Optimization

NeurIPS 2023spotlight

Expected Improvement (EI) is arguably the most popular acquisition function in Bayesian optimization and has found countless successful applications, but its performance is often exceeded by that of more recent methods. Notably, EI and its variants, including for the parallel and multi-objective set…

Cited by 86SourcePDFScholar
2022

Bayesian Optimization over Discrete and Mixed Spaces via Probabilistic Reparameterization

NeurIPS 2022accept

Optimizing expensive-to-evaluate black-box functions of discrete (and potentially continuous) design parameters is a ubiquitous problem in scientific and engineering applications. Bayesian optimization (BO) is a popular, sample-efficient method that leverages a probabilistic surrogate model and an…

Cited by 58SourcePDFScholar
2022

Multi-objective Bayesian optimization over high-dimensional search spaces

UAI 2022poster

Many real world scientific and industrial applications require optimizing multiple competing black-box objectives. When the objectives are expensive-to-evaluate, multi-objective Bayesian optimization (BO) is a popular approach because of its high sample efficiency. However, even with recent methodol…

Cited by 141SourcePDFScholar
2022

Robust Multi-Objective Bayesian Optimization Under Input Noise

ICML 2022spotlight

Bayesian optimization (BO) is a sample-efficient approach for tuning design parameters to optimize expensive-to-evaluate, black-box performance metrics. In many manufacturing processes, the design parameters are subject to random input noise, resulting in a product that is often less performant than…

2021

Bayesian Optimization with High-Dimensional Outputs

NeurIPS 2021poster

Bayesian optimization is a sample-efficient black-box optimization procedure that is typically applied to a small number of independent objectives. However, in practice we often wish to optimize objectives defined over many correlated outcomes (or “tasks”). For example, scientists may want to optimi…

Cited by 66SourcePDFScholar
2021

Multi-Step Budgeted Bayesian Optimization with Unknown Evaluation Costs

NeurIPS 2021poster

Bayesian optimization (BO) is a sample-efficient approach to optimizing costly-to-evaluate black-box functions. Most BO methods ignore how evaluation costs may vary over the optimization domain. However, these costs can be highly heterogeneous and are often unknown in advance in many practical setti…

2021

Optimizing Coverage and Capacity in Cellular Networks using Machine Learning

ICASSP 2021accepted

Wireless cellular networks have many parameters that are normally tuned upon deployment and re-tuned as the network changes. Many operational parameters affect reference signal received power (RSRP), reference signal received quality (RSRQ), signal-to-interference-plus-noise-ratio (SINR), and, ultim…

Cited by 0SourceScholar
2021

Parallel Bayesian Optimization of Multiple Noisy Objectives with Expected Hypervolume Improvement

NeurIPS 2021poster

Optimizing multiple competing black-box objectives is a challenging problem in many fields, including science, engineering, and machine learning. Multi-objective Bayesian optimization (MOBO) is a sample-efficient approach for identifying the optimal trade-offs between the objectives. However, many e…

2020

BoTorch: A Framework for Efficient Monte-Carlo Bayesian Optimization

NeurIPS 2020poster

Bayesian optimization provides sample-efficient global optimization for a broad range of applications, including automatic machine learning, engineering, physics, and experimental design. We introduce BoTorch, a modern programming framework for Bayesian optimization that combines Monte-Carlo (MC) ac…

2020

Differentiable Expected Hypervolume Improvement for Parallel Multi-Objective Bayesian Optimization

NeurIPS 2020poster

In many real-world scenarios, decision makers seek to efficiently optimize multiple competing objectives in a sample-efficient fashion. Multi-objective Bayesian optimization (BO) is a common approach, but many of the best-performing acquisition functions do not have known analytic gradients and suff…

2020

Efficient Nonmyopic Bayesian Optimization via One-Shot Multi-Step Trees

NeurIPS 2020poster

Bayesian optimization is a sequential decision making framework for optimizing expensive-to-evaluate black-box functions. Computing a full lookahead policy amounts to solving a highly intractable stochastic dynamic program. Myopic approaches, such as expected improvement, are often adopted in practi…

Cited by 66SourcePDFScholar
2016

Minimizing Regret on Reflexive Banach Spaces and Nash Equilibria in Continuous Zero-Sum Games

NeurIPS 2016poster

We study a general adversarial online learning problem, in which we are given a decision set X' in a reflexive Banach space X and a sequence of reward vectors in the dual space of X. At each iteration, we choose an action from X', based on the observed sequence of previous rewards. Our goal is to mi…

Cited by 17SourcePDFScholar