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The Binary Polynomial Optimization (BPO) problem is defined as the problem of maximizing a given polynomial function over all binary points. The main contribution of this paper is to draw a novel connection between BPO and the field of…

最优化与控制 · 数学 2024-11-13 Florent Capelli , Alberto Del Pia , Silvia Di Gregorio

Continual learning poses a fundamental challenge for modern machine learning systems, requiring models to adapt to new tasks while retaining knowledge from previous ones. Addressing this challenge necessitates the development of efficient…

机器学习 · 计算机科学 2024-04-10 Jędrzej Kozal , Jan Wasilewski , Bartosz Krawczyk , Michał Woźniak

The encoding of solutions in black-box optimization is a delicate, handcrafted balance between expressiveness and domain knowledge -- between exploring a wide variety of solutions, and ensuring that those solutions are useful. Our main…

神经与进化计算 · 计算机科学 2020-07-07 Adam Gaier , Alexander Asteroth , Jean-Baptiste Mouret

Processing sets or other unordered, potentially variable-sized inputs in neural networks is usually handled by aggregating a number of input tensors into a single representation. While a number of aggregation methods already exist from…

机器学习 · 计算机科学 2022-07-05 Sergey Bartunov , Fabian B. Fuchs , Timothy Lillicrap

Currently, many machine learning algorithms contain lots of iterations. When it comes to existing large-scale distributed systems, some slave nodes may break down or have lower efficiency. Therefore traditional machine learning algorithm…

分布式、并行与集群计算 · 计算机科学 2020-12-22 Junxiong Wang , Hongzhi Wang , Chenxu Zhao

In the ongoing quest for hybridizing discrete reasoning with neural nets, there is an increasing interest in neural architectures that can learn how to solve discrete reasoning or optimization problems from natural inputs, a task that Large…

人工智能 · 计算机科学 2025-12-19 Marianne Defresne , Romain Gambardella , Sophie Barbe , Thomas Schiex

Optimization problems in engineering and applied mathematics are typically solved in an iterative fashion, by systematically adjusting the variables of interest until an adequate solution is found. The iterative algorithms that govern these…

最优化与控制 · 数学 2022-05-31 Laurent Lessard

We explore a new general-purpose heuristic for finding high-quality solutions to hard optimization problems. The method, called extremal optimization, is inspired by self-organized criticality, a concept introduced to describe emergent…

统计力学 · 物理学 2009-10-31 S. Boettcher , A. G. Percus

A predominant topic in the theory of evolutionary algorithms and, more generally, theory of randomized black-box optimization techniques is running time analysis. Running time analysis aims at understanding the performance of a given…

神经与进化计算 · 计算机科学 2018-06-13 Carola Doerr

Recent years have seen significant advances in quantum/quantum-inspired technologies capable of approximately searching for the ground state of Ising spin Hamiltonians. The promise of leveraging such technologies to accelerate the solution…

最优化与控制 · 数学 2024-01-24 Robin Brown , David E. Bernal Neira , Davide Venturelli , Marco Pavone

Knowledge Distillation (KD) is a model compression algorithm that helps transfer the knowledge of a large neural network into a smaller one. Even though KD has shown promise on a wide range of Natural Language Processing (NLP) applications,…

计算与语言 · 计算机科学 2021-09-21 Tianda Li , Ahmad Rashid , Aref Jafari , Pranav Sharma , Ali Ghodsi , Mehdi Rezagholizadeh

Optimization problems with more than one objective consist in a very attractive topic for researchers due to its applicability in real-world situations. Over the years, the research effort in the Computational Intelligence field resulted in…

神经与进化计算 · 计算机科学 2019-01-25 F. B. Lima Neto , I. M. C. Albuquerque , J. B. Monteiro Filho

This article aims to provide an accessible, tutorial-style introduction to hybrid extremum-seeking systems, which are model-free, feedback-optimization controllers that incorporate hybrid dynamics, meaning both continuous-time and…

最优化与控制 · 数学 2025-12-18 Jorge I. Poveda , Andrew R. Teel

In practice, optimization tasks have some structure that allows developing new algorithms for every problem with faster convergence rates. Using the structure of optimization tasks, we can propose algorithms with more optimistic convergence…

最优化与控制 · 数学 2020-09-01 Alexander Tyurin

Large Language Models (LLMs) increasingly rely on Chain-of-Thought (CoT) reasoning to improve accuracy on complex tasks. However, always generating lengthy reasoning traces is inefficient, leading to excessive token usage and higher…

In an era where data-driven decision-making and computational efficiency are paramount, optimization plays a foundational role in advancing fields such as mathematics, computer science, operations research, machine learning, and beyond.…

数值分析 · 数学 2025-03-11 Jun Lu

Bayesian optimization works effectively optimizing parameters in black-box problems. However, this method did not work for high-dimensional parameters in limited trials. Parameters can be efficiently explored by nonlinearly embedding them…

机器学习 · 计算机科学 2022-06-14 Shoki Miyagawa , Atsuyoshi Yano , Naoko Sawada , Isamu Ogawa

In this paper, we introduce a new hybrid algorithm for solving equilibrium problems. The algorithm combines the extragradient method and the hybrid (outer approximation) method. In this algorithm, only an optimization program is solved at…

最优化与控制 · 数学 2015-10-29 Dang Van Hieu

A problem faced by many instructors is that of designing exams that accurately assess the abilities of the students. Typically these exams are prepared several days in advance, and generic question scores are used based on rough…

计算机与社会 · 计算机科学 2018-11-07 Sam Ganzfried , Farzana Yusuf

Search-optimization problems are plentiful in scientific and engineering domains. Artificial intelligence has long contributed to the development of search algorithms and declarative programming languages geared toward solving and modeling…

人工智能 · 计算机科学 2023-03-22 Yuliya Lierler