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Today, a wide variety of probabilistic and expert AI systems used to analyze real world inputs such as unstructured text, sounds, images, and statistical data. However, all these systems exist on different platforms, with different…

神经与进化计算 · 计算机科学 2012-04-30 Greg Fish

Ensuring fairness in computational problems has emerged as a $key$ topic during recent years, buoyed by considerations for equitable resource distributions and social justice. It $is$ possible to incorporate fairness in computational…

计算复杂性 · 计算机科学 2023-05-02 Abolfazl Asudeh , Tanya Berger-Wolf , Bhaskar DasGupta , Anastasios Sidiropoulos

In this paper we studied combinatorial problems with parameterized locally budgeted uncertainty. We are looking for a solutions set such that for any parameters vector there exists a solution in the set with robustness near optimal. The…

最优化与控制 · 数学 2023-01-26 Alejandro Crema

Quantum optimization algorithms hold the promise of solving classically hard, discrete optimization problems in practice. The requirement of encoding such problems in a Hamiltonian realized with a finite -- and currently small -- number of…

量子物理 · 物理学 2023-07-10 Yifeng Rocky Zhu , David Joseph , Cong Ling , Florian Mintert

We establish new lower-bounds for the information complexity of mixed-integer convex optimization under two "bit-wise" oracles. The first oracle provides bits of first-order information in the standard coordinate model, and the second…

最优化与控制 · 数学 2025-11-05 Amitabh Basu , Phillip Kerger , Marco Molinaro

This article focuses on the optimization of a complex system which is composed of several subsystems. On the one hand, these subsystems are subject to multiple objectives, local constraints as well as local variables, and they are…

In this paper we describe a method for packing tubes and boxes in containers. Each container is divided into parts (holders) which are allocated to subsets of objects. The method consists of a recursive procedure which, based on a…

数据结构与算法 · 计算机科学 2016-09-27 João Pedro Pedroso , João Nuno Tavares , Jorge Leite

Recent work in robotic manipulation focuses on object retrieval in cluttered spaces under occlusion. Nevertheless, the majority of efforts lack an analysis of conditions for the completeness of the approaches or the methods apply only when…

机器人学 · 计算机科学 2022-09-22 Yinglong Miao , Rui Wang , Kostas Bekris

We introduce a concept that generalizes several different notions of a "centerpoint" in the literature. We develop an oracle-based algorithm for convex mixed-integer optimization based on centerpoints. Further, we show that algorithms based…

最优化与控制 · 数学 2017-01-19 Amitabh Basu , Timm Oertel

(Artificial) neural networks have become increasingly popular in mechanics to accelerate computations with model order reduction techniques and as universal models for a wide variety of materials. However, the major disadvantage of neural…

机器学习 · 计算机科学 2021-07-13 Arnd Koeppe , Franz Bamer , Michael Selzer , Britta Nestler , Bernd Markert

Many algorithms have been developed for enumerating various combinatorial objects in time exponentially less than the number of objects. Two common classes of algorithms are dynamic programming and the transfer matrix method. This paper…

组合数学 · 数学 2017-05-16 Andrew R. Conway

This paper proposes novel algorithm for non-convex multimodal constrained optimisation problems. It is based on sequential solving restrictions of problem to sections of feasible set by random subspaces (in general, manifolds) of low…

最优化与控制 · 数学 2023-03-28 Dmitry A. Pasechnyuk , Alexander Gornov

In the 1980s a new, extraordinarily productive way of reasoning about algorithms emerged. In this paper, we introduce the term "outcome reasoning" to refer to this form of reasoning. Though outcome reasoning has come to dominate areas of…

其他统计学 · 统计学 2023-02-16 Jordan Rodu , Michael Baiocchi

This paper presents a high-accuracy higher-order multiscale method for solving multi-continuum problems in in highly heterogeneous media. First, microscopic unit cell functions are defined, leading to the derivation of macroscopic…

数值分析 · 数学 2026-04-08 Hao Dong , Jiayuan Peng , Jian Huang

We consider the homogenized linear feasibility problem, to find an $x$ on the unit sphere, satisfying $n$ line ar inequalities $a_i^Tx\ge 0$. To solve this problem we consider the centers of the insphere of spherical simpl ices, whose…

最优化与控制 · 数学 2007-05-23 Ulrich Betke

The objective of ordinal embedding is to find a Euclidean representation of a set of abstract items, using only answers to triplet comparisons of the form "Is item $i$ closer to the item $j$ or item $k$?". In recent years, numerous…

机器学习 · 计算机科学 2021-10-22 Leena Chennuru Vankadara , Siavash Haghiri , Michael Lohaus , Faiz Ul Wahab , Ulrike von Luxburg

Data scientists seeking a good supervised learning model on a new dataset have many choices to make: they must preprocess the data, select features, possibly reduce the dimension, select an estimation algorithm, and choose hyperparameters…

机器学习 · 计算机科学 2020-06-11 Chengrun Yang , Jicong Fan , Ziyang Wu , Madeleine Udell

Multi-modal learning is a fast growing area in artificial intelligence. It tries to help machines understand complex things by combining information from different sources, like images, text, and audio. By using the strengths of each…

Compressing neural nets is an active research problem, given the large size of state-of-the-art nets for tasks such as object recognition, and the computational limits imposed by mobile devices. We give a general formulation of model…

机器学习 · 计算机科学 2017-07-06 Miguel Á. Carreira-Perpiñán

Coordinating a fully distributed multi-agent system (MAS) can be challenging when the communication channel has very limited capabilities in terms of sending rate and packet payload. When the MAS has to deal with active obstacles in a…

机器人学 · 计算机科学 2025-09-12 Vincenzo Suriani , Daniele Affinita , Domenico D. Bloisi , Daniele Nardi