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The Multi-Objective Mixed-Integer Programming (MOMIP) problem is one of the most challenging. To derive its Pareto optimal solutions one can use the well-known Chebyshev scalarization and Mixed-Integer Programming (MIP) solvers. However,…

Optimization and Control · Mathematics 2024-01-02 Grzegorz Filcek , Janusz Miroforidis

The properties of local optimal solutions in multi-objective combinatorial optimization problems are crucial for the effectiveness of local search algorithms, particularly when these algorithms are based on Pareto dominance. Such local…

Artificial Intelligence · Computer Science 2014-09-22 Manuel López-Ibáñez , Arnaud Liefooghe , Sébastien Verel

Multi-objective optimization is a crucial matter in computer systems design space exploration because real-world applications often rely on a trade-off between several objectives. Derivatives are usually not available or impractical to…

Machine Learning · Computer Science 2019-07-26 Luigi Nardi , David Koeplinger , Kunle Olukotun

Algorithmic interpretability is necessary to build trust, ensure fairness, and track accountability. However, there is no existing formal measurement method for algorithmic interpretability. In this work, we build upon programming language…

Artificial Intelligence · Computer Science 2022-05-23 John P. Lalor , Hong Guo

In multiobjective optimization, most branch and bound algorithms provide the decision maker with the whole Pareto front, and then decision maker could select a single solution finally. However, if the number of objectives is large, the…

Optimization and Control · Mathematics 2024-02-29 Weitian Wu , Xinmin Yang

Algorithms with predictions} has emerged as a powerful framework to combine the robustness of traditional online algorithms with the data-driven performance benefits of machine-learned (ML) predictions. However, most existing approaches in…

Data Structures and Algorithms · Computer Science 2025-10-17 Sizhe Li , Nicolas Christianson , Tongxin Li

Multi-objective optimization problems can be found in many real-world applications, where the objectives often conflict each other and cannot be optimized by a single solution. In the past few decades, numerous methods have been proposed to…

Machine Learning · Computer Science 2024-07-24 Xi Lin , Xiaoyuan Zhang , Zhiyuan Yang , Fei Liu , Zhenkun Wang , Qingfu Zhang

Optimizing the performance of many objectives (instantiated by tasks or clients) jointly with a few Pareto stationary solutions (models) is critical in machine learning. However, previous multi-objective optimization methods often focus on…

Machine Learning · Computer Science 2024-03-08 Ziyue Li , Tian Li , Virginia Smith , Jeff Bilmes , Tianyi Zhou

The multi-objective optimization is to optimize several objective functions over a common feasible set. Since the objectives usually do not share a common optimizer, people often consider (weakly) Pareto points. This paper studies…

Optimization and Control · Mathematics 2023-12-05 Jiawang Nie , Zi Yang

Local optimization presents a promising approach to expensive, high-dimensional black-box optimization by sidestepping the need to globally explore the search space. For objective functions whose gradient cannot be evaluated directly,…

Machine Learning · Computer Science 2023-01-18 Quan Nguyen , Kaiwen Wu , Jacob R. Gardner , Roman Garnett

Nervous systems, like any organismal structure, have been shaped by evolutionary processes to increase fitness. The resulting neural 'bauplan' has to account for multiple objectives simultaneously, including computational function as well…

Neurons and Cognition · Quantitative Biology 2021-05-05 Fabian Pallasdies , Philipp Norton , Jan-Hendrik Schleimer , Susanne Schreiber

The lack of interpretability remains a barrier to the adoption of deep neural networks. Recently, tree regularization has been proposed to encourage deep neural networks to resemble compact, axis-aligned decision trees without significant…

Machine Learning · Computer Science 2020-03-17 Mike Wu , Sonali Parbhoo , Michael Hughes , Ryan Kindle , Leo Celi , Maurizio Zazzi , Volker Roth , Finale Doshi-Velez

As machine learning systems are increasingly used in high-stakes domains, there is a growing emphasis placed on making them interpretable to improve trust in these systems. In response, a range of interpretable machine learning (IML)…

Machine Learning · Statistics 2025-05-22 Luqin Gan , Tarek M. Zikry , Genevera I. Allen

Recently many efforts have been devoted to interpreting the black-box NMT models, but little progress has been made on metrics to evaluate explanation methods. Word Alignment Error Rate can be used as such a metric that matches human…

Computation and Language · Computer Science 2020-05-05 Jierui Li , Lemao Liu , Huayang Li , Guanlin Li , Guoping Huang , Shuming Shi

To tackle interpretability in deep learning, we present a novel framework to jointly learn a predictive model and its associated interpretation model. The interpreter provides both local and global interpretability about the predictive…

Machine Learning · Computer Science 2022-02-24 Jayneel Parekh , Pavlo Mozharovskyi , Florence d'Alché-Buc

Supervised machine learning often operates on the data-driven paradigm, wherein internal model parameters are autonomously optimized to converge predicted outputs with the ground truth, devoid of explicitly programming rules or a priori…

Machine Learning · Computer Science 2024-12-12 Daniel Geissler , Bo Zhou , Mengxi Liu , Paul Lukowicz

Neural networks are widely regarded as black-box models, creating significant challenges in understanding their inner workings, especially in natural language processing (NLP) applications. To address this opacity, model explanation…

Computation and Language · Computer Science 2025-01-10 Melkamu Mersha , Mingiziem Bitewa , Tsion Abay , Jugal Kalita

Black-box optimization (BBO) involves functions that are unknown, inexact and/or expensive-to-evaluate. Existing BBO algorithms face several challenges, including high computational cost from extensive evaluations, difficulty in handling…

Optimization and Control · Mathematics 2025-09-26 Zixuan Zhang , Xiaowei Song , Jiaming Li , Yujiao Zeng , Yaling Nie , Min Zhu , Dongyun Lu , Yibo Zhang , Xin Xiao , Jie Li

Machine learning can significantly improve performance for decision-making under uncertainty across a wide range of domains. However, ensuring robustness guarantees requires well-calibrated uncertainty estimates, which can be difficult to…

Machine Learning · Computer Science 2026-02-03 Christopher Yeh , Nicolas Christianson , Alan Wu , Adam Wierman , Yisong Yue

Contrastive learning is a powerful technique for discovering meaningful data representations by optimizing objectives based on $\textit{contrastive information}$, often given as a set of weighted triplets $\{(x_i, y_i^+, z_{i}^-)\}_{i =…

Machine Learning · Computer Science 2025-09-23 Jingming Yan , Yiyuan Luo , Vaggos Chatziafratis , Ioannis Panageas , Parnian Shahkar , Stelios Stavroulakis
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