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Deploying large language models (LLMs) is challenging because they are memory inefficient and compute-intensive for practical applications. In reaction, researchers train smaller task-specific models by either finetuning with human labels…

The current bottleneck of globally solving mixed-integer (non-convex) quadratically constrained problem (MIQCP) is still to construct strong but computationally cheap convex relaxations, especially when dense quadratic functions are…

最优化与控制 · 数学 2014-03-24 Hongbo Dong

Mixed-integer linear programming (MILP) is one of the most popular mathematical formulations with numerous applications. In practice, improving the performance of MILP solvers often requires a large amount of high-quality data, which can be…

机器学习 · 计算机科学 2024-11-01 Haoyang Liu , Jie Wang , Wanbo Zhang , Zijie Geng , Yufei Kuang , Xijun Li , Bin Li , Yongdong Zhang , Feng Wu

This applied research article explores the application of Mixed-Integer Linear Programming (MILP) to address line-balancing challenges in the garment industry, focusing on optimizing production processes under multiple constraints. By…

最优化与控制 · 数学 2025-04-10 Ray Wai Man Kong , Ding Ning , Theodore Ho Tin Kong

The most important ingredient for solving mixed-integer nonlinear programs (MINLPs) to global epsilon-optimality with spatial branch and bound is a tight, computationally tractable relaxation. Due to both theoretical and practical…

最优化与控制 · 数学 2019-12-03 Benjamin Müller , Gonzalo Muñoz , Maxime Gasse , Ambros Gleixner , Andrea Lodi , Felipe Serrano

In this paper, we introduce DistDD, a novel approach within the federated learning framework that reduces the need for repetitive communication by distilling data directly on clients' devices. Unlike traditional federated learning that…

机器学习 · 计算机科学 2024-10-14 Peiran Wang , Haohan Wang

We present the first provable method for identifying symmetric linear dynamical systems (LDS) with accuracy guarantees that are independent of the systems' state dimension or effective memory. Our approach builds upon recent work that…

机器学习 · 计算机科学 2025-05-26 Devan Shah , Shlomo Fortgang , Sofiia Druchyna , Elad Hazan

We present a novel energy-based numerical analysis of semilinear diffusion-reaction boundary value problems. Based on a suitable variational setting, the proposed computational scheme can be seen as an energy minimisation approach. More…

数值分析 · 数学 2022-02-16 Mario Amrein , Pascal Heid , Thomas P. Wihler

In this paper, we study the joint computation offloading and resource allocation problem in the two-tier wireless heterogeneous network (HetNet). Our design aims to optimize the computation offloading to the cloud jointly with the…

网络与互联网体系结构 · 计算机科学 2018-12-13 Nguyen Ti Ti , Long Bao Le

This study suggests a novel two-stage Mixed-Integer Nonlinear Programming model considering uncertainty related to implementation of carbon dioxide emission regulatory policies, which are carbon trading and emission taxing and can change…

最优化与控制 · 数学 2025-02-03 Handan Akülker , Burak Alakent , Erdal Aydin

We propose a nonlinear Discrete Duality Finite Volume scheme to approximate the solutions of drift diffusion equations. The scheme is built to preserve at the discrete level even on severely distorted meshes the energy / energy dissipation…

偏微分方程分析 · 数学 2017-05-31 Clément Cancès , Claire Chainais-Hillairet , Stella Krell

The goal of entanglement distillation is to turn a large number of weakly entangled states into a smaller number of highly entangled ones. Practical entanglement distillation schemes offer a tradeoff between the fidelity to the target…

We develop a scalable, computationally efficient method for the task of energy disaggregation for home appliance monitoring. In this problem the goal is to estimate the energy consumption of each appliance over time based on the total…

机器学习 · 计算机科学 2016-11-01 Kiarash Shaloudegi , András György , Csaba Szepesvári , Wilsun Xu

This paper examines Mixed-Integer Multi-Level problems with Sequential Followers (MIMLSF), a specialized optimization model aimed at enhancing upper-level decision-making by incorporating anticipated outcomes from lower-level sequential…

最优化与控制 · 数学 2025-02-28 Yuxin Xia , Iacopo Savelli , Thomas Morstyn

In spite of strong performance achieved by LLMs, the costs of their deployment are unaffordable. For the compression of LLMs, gradient-based pruning methods present promising effectiveness. However, in these methods, the gradient…

计算与语言 · 计算机科学 2025-06-16 Hourun Zhu , Chengchao Shen

Cutting planes are crucial in solving mixed integer linear programs (MILP) as they facilitate bound improvements on the optimal solution. Modern MILP solvers rely on a variety of separators to generate a diverse set of cutting planes by…

最优化与控制 · 数学 2023-11-13 Sirui Li , Wenbin Ouyang , Max B. Paulus , Cathy Wu

We present a novel relaxation framework for general mixed-integer nonlinear programming (MINLP) grounded in computational geometry. Our approach constructs polyhedral relaxations by convexifying finite sets of strategically chosen points,…

最优化与控制 · 数学 2026-03-20 Haisheng Zhu , Taotao He , Mohit Tawarmalani

Model reduction, which aims to learn a simpler model of the original mixed integer linear programming (MILP), can solve large-scale MILP problems much faster. Most existing model reduction methods are based on variable reduction, which…

机器学习 · 计算机科学 2026-02-04 Jiajun Li , Yixuan Li , Ran Hou , Yu Ding , Shisi Guan , Jiahui Duan , Xiongwei Han , Tao Zhong , Vincent Chau , Weiwei Wu , Wanyuan Wang

Modern deployment often requires trading accuracy for efficiency under tight CPU and memory constraints, yet common compression proxies such as parameter count or FLOPs do not reliably predict wall-clock inference time. In particular,…

机器学习 · 计算机科学 2026-04-10 Longsheng Zhou , Yu Shen

Generative recommendation models employing Semantic IDs (SIDs) exhibit strong potential, yet their practical deployment is bottlenecked by the high inference latency of beam-expanded autoregressive decoding. In this work, we identify that…

信息检索 · 计算机科学 2026-05-14 Zitian Guo , Yupeng Hou , Clark Mingxuan Ju , Neil Shah , Julian McAuley