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We propose a new class of semi-implicit methods for solving nonlinear fractional differential equations and study their stability. Several versions of our new schemes are proved to be unconditionally stable by choosing suitable parameters.…

数值分析 · 数学 2018-08-14 Fanhai Zeng , Ian Turner , Kevin Burrage , George Em Karniadakis

In this paper, we construct a semi-implicit finite difference method for the time dependent Poisson-Nernst-Planck system. Although the Poisson-Nernst-Planck system is a nonlinear system, the numerical method presented in this paper only…

数值分析 · 数学 2019-01-17 Dongdong He , Kejia Pan

We propose a novel global solution algorithm for the network-constrained unit commitment problem incorporating a nonlinear alternating current model of the transmission network, which is a nonconvex mixed-integer nonlinear programming…

最优化与控制 · 数学 2018-11-27 Jianfeng Liu , Anya Castillo , Jean-Paul Watson , Carl D. Laird

Mixed-integer rounding (MIR) cutting planes (cuts) are effective at improving the strength of a linear relaxation for mixed-integer linear programming (MIP) problems. The cuts in this family are derived by aggregating constraints then…

最优化与控制 · 数学 2024-12-16 Oscar Guaje , Arnaud Deza , Aleksandr M. Kazachkov , Elias B. Khalil

We introduce a robust optimization method for flip-free distortion energies used, for example, in parametrization, deformation, and volume correspondence. This method can minimize a variety of distortion energies, such as the symmetric…

图形学 · 计算机科学 2022-11-17 Oded Stein , Jiajin Li , Justin Solomon

In this paper, we consider the multiple probabilistic covering location problem (MPCLP), which attempts to open a fixed number of facilities to maximize the total covered customer demand under a joint probabilistic coverage setting. We…

最优化与控制 · 数学 2025-11-24 Yan-Ru Wang , Wei-Kun Chen , Ivana Ljubić

The increasing integration of renewable energy sources into power systems is intensifying the demand for greater flexibility among industrial electricity consumers. However, operational constraints, production requirements, and market…

系统与控制 · 电气工程与系统科学 2025-09-22 Sebastián Rojas-Innocenti , Enrique Baeyens , Alejandro Martín-Crespo , Sergio Saludes-Rodil , Fernando Frechoso

The distribution and processing of quantum entanglement form the basis of quantum communication and quantum computing. The realization of the two is difficult because quantum information inherently has a high susceptibility to decoherence,…

量子物理 · 物理学 2012-08-30 Boris Hage , Aiko Samblowski , James DiGuglielmo , Jaromír Fiurášek , Roman Schnabel

The deformed energy method has shown to be a good option for dimensional synthesis of mechanisms. In this paper the introduction of some new features to such approach is proposed. First, constraints fixing dimensions of certain links are…

数值分析 · 数学 2024-02-09 V. Garcia-Marina , I. Fernandez de Bustos , G. Urkullu , R. Ansola

Knowledge distillation offers a transformative pathway to developing powerful, yet efficient, small language models (SLMs) suitable for resource-constrained environments. In this paper, we benchmark the performance and computational cost of…

计算与语言 · 计算机科学 2026-02-25 Sachin Gopal Wani , Eric Page , Ajay Dholakia , David Ellison

The rapid evolution and widespread adoption of generative large language models (LLMs) have made them a pivotal workload in various applications. Today, LLM inference clusters receive a large number of queries with strict Service Level…

人工智能 · 计算机科学 2025-10-01 Jovan Stojkovic , Chaojie Zhang , Íñigo Goiri , Josep Torrellas , Esha Choukse

Syntax has been shown useful for various NLP tasks, while existing work mostly encodes singleton syntactic tree using one hierarchical neural network. In this paper, we investigate a simple and effective method, Knowledge Distillation, to…

计算与语言 · 计算机科学 2020-09-17 Hao Fei , Yafeng Ren , Donghong Ji

Serving diverse NLP workloads with large language models is costly: at one enterprise partner, inference costs exceeded $200K/month despite over 70% of queries being routine tasks well within the capability of smaller models. We present…

计算与语言 · 计算机科学 2026-04-28 Dongxin Guo , Jikun Wu , Siu Ming Yiu

Recent years have seen the emergence of nonlinear methods for solving partial differential equations (PDEs), such as physics-informed neural networks (PINNs). While these approaches often perform well in practice, their theoretical analysis…

数值分析 · 数学 2025-08-27 Alexandre Magueresse , Santiago Badia

In this paper, we study a RAN resource-slicing problem for energy-efficient communication in an orthogonal frequency division multiple access (OFDMA) based millimeter-wave (mmWave) downlink (DL) network consisting of enhanced mobile…

信息论 · 计算机科学 2023-06-14 PraveenKumar Korrai , Eva Lagunas , Shree Krishna Sharma , Symeon Chatzinotas

This paper presents a Dynamic Internal Predictive Power Scheduling (DIPPS) approach for optimizing power management in microgrids, particularly focusingon external power exchanges among diverse prosumers. DIPPS utilizes a dynamic objective…

系统与控制 · 电气工程与系统科学 2026-03-25 Neethu Maya , Bala Kameshwar Poolla , Seshadhri Srinivasan , Narasimman Sundararajan , Suresh Sundaram

An important problem in optimization is the construction of mixed-integer programming (MIP) formulations of disjunctive constraints that are both strong and small. Motivated by lower bounds on the number of integer variables that are…

最优化与控制 · 数学 2017-12-05 Joey Huchette , Juan Pablo Vielma

This paper addresses the problem of motion planning for differential drive micro-mobility platforms. This class of vehicle is designed to perform small-distance transportation of passengers and goods in structured environments. Our approach…

机器人学 · 计算机科学 2025-05-15 Angelo Caregnato-Neto , Janito Vaqueiro Ferreira

Many systems exhibit a mixture of continuous and discrete dynamics. We consider a family of mixed-integer non-convex non-linear optimisation problems obtained in discretisations of optimal control of such systems. For this family, a…

最优化与控制 · 数学 2020-01-23 Jorn Baayen , Jakub Marecek

We present a novel method for mixed-integer optimization problems with multivariate and Lipschitz continuous nonlinearities. In particular, we do not assume that the nonlinear constraints are explicitly given but that we can only evaluate…

最优化与控制 · 数学 2023-03-22 Julia Grübel , Richard Krug , Martin Schmidt , Winnifried Wollner