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Empirical risk minimization (ERM) is ubiquitous in machine learning and underlies most supervised learning methods. While there has been a large body of work on algorithms for various ERM problems, the exact computational complexity of ERM…

计算复杂性 · 计算机科学 2017-04-11 Arturs Backurs , Piotr Indyk , Ludwig Schmidt

Empirical Risk Minimization (ERM) algorithms are widely used in a variety of estimation and prediction tasks in signal-processing and machine learning applications. Despite their popularity, a theory that explains their statistical…

机器学习 · 统计学 2020-07-07 Hossein Taheri , Ramtin Pedarsani , Christos Thrampoulidis

We study the optimal mechanism design problem faced by a market intermediary who makes revenue by connecting buyers and sellers. We first show that the optimal intermediation protocol has substantial structure: it is the solution to an…

计算机科学与博弈论 · 计算机科学 2012-10-12 Kamal Jain , Christopher A. Wilkens

Mixed-Integer Linear Programming (MILP) is a fundamental and powerful framework for modeling complex optimization problems across diverse domains. Recently, learning-based methods have shown great promise in accelerating MILP solvers by…

机器学习 · 计算机科学 2025-11-05 Tianle Pu , Zijie Geng , Haoyang Liu , Shixuan Liu , Jie Wang , Li Zeng , Chao Chen , Changjun Fan

The demand response provides an opportunity for load serving entities (LSEs) that operate retail electricity markets (REMs) to strategically purchase energy and provide reserves in wholesale electricity markets (WEMs). This paper concerns…

最优化与控制 · 数学 2020-06-09 Hanchen Xu , Kaiqing Zhang , Junbo Zhang

Mixed-Integer Linear Programming (MILP) is a foundational tool for complex decision-making problems. However, the NP-hard nature of MILP presents a significant computational challenge, motivating the development of machine learning-based…

最优化与控制 · 数学 2026-03-03 Hongpei Li , Hui Yuan , Han Zhang , Jianghao Lin , Dongdong Ge , Mengdi Wang , Yinyu Ye

Modern data-driven and distributed learning frameworks deal with diverse massive data generated by clients spread across heterogeneous environments. Indeed, data heterogeneity is a major bottleneck in scaling up many distributed learning…

机器学习 · 计算机科学 2023-08-23 Amirhossein Reisizadeh , Khashayar Gatmiry , Asuman Ozdaglar

Exponential random graph models (ERGMs) are very flexible for modeling network formation but pose difficult estimation challenges due to their intractable normalizing constant. Existing methods, such as MCMC-MLE, rely on sequential…

社会与信息网络 · 计算机科学 2025-02-05 Angelo Mele

Execution algorithms are vital to modern trading, they enable market participants to execute large orders while minimising market impact and transaction costs. As these algorithms grow more sophisticated, optimising them becomes…

计算金融 · 定量金融 2025-10-28 Ollie Olby , Andreea Bacalum , Rory Baggott , Namid Stillman

We develop and analyze methods for computing provably optimal {\em maximum a posteriori} (MAP) configurations for a subclass of Markov random fields defined on graphs with cycles. By decomposing the original distribution into a convex…

信息论 · 计算机科学 2007-07-13 Martin J. Wainwright , Tommi S. Jaakkola , Alan S. Willsky

We consider the use of extreme learning machines (ELM) for computational partial differential equations (PDE). In ELM the hidden-layer coefficients in the neural network are assigned to random values generated on $[-R_m,R_m]$ and fixed,…

计算物理 · 物理学 2022-06-01 Suchuan Dong , Jielin Yang

We study multi-buyer multi-item sequential item pricing mechanisms for revenue maximization with the goal of approximating a natural fractional relaxation -- the ex ante optimal revenue. We assume that buyers' values are subadditive but…

计算机科学与博弈论 · 计算机科学 2024-04-24 Shuchi Chawla , Dimitris Christou , Trung Dang , Zhiyi Huang , Gregory Kehne , Rojin Rezvan

We consider an economic environment where a seller wants to sell an indivisible unit of good to a buyer. We show that revenue from any strategy-proof and individually rational mechanism defined on closed intervals of rich single crossing…

计算机科学与博弈论 · 计算机科学 2024-12-12 Mridu Prabal Goswami

We consider the estimation of a scalar parameter, when two estimators are available. The first is always consistent. The second is inconsistent in general, but has a smaller asymptotic variance than the first, and may be consistent if an…

统计理论 · 数学 2020-06-29 Clément de Chaisemartin , Xavier D'Haultfœuille

Empirical economic research frequently applies maximum likelihood estimation in cases where the likelihood function is analytically intractable. Most of the theoretical literature focuses on maximum simulated likelihood (MSL) estimators,…

计量经济学 · 经济学 2019-08-13 Michael Griebel , Florian Heiss , Jens Oettershagen , Constantin Weiser

Reinforcement learning is the method of choice to train models in sampling-based setups with binary outcome feedback, such as navigation, code generation, and mathematical problem solving. In such settings, models implicitly induce a…

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

Ensemble randomized maximum likelihood (EnRML) is an iterative (stochastic) ensemble smoother, used for large and nonlinear inverse problems, such as history matching and data assimilation. Its current formulation is overly complicated and…

数据分析、统计与概率 · 物理学 2019-09-12 Patrick N. Raanes , Geir Evensen , Andreas S. Stordal

We study a classical Bayesian mechanism design problem where a seller is selling multiple items to multiple buyers. We consider the case where the seller has costs to produce the items, and these costs are private information to the seller.…

计算机科学与博弈论 · 计算机科学 2020-04-20 Yang Cai , Mingfei Zhao

We design simple mechanisms to approximate the Gains from Trade (GFT) in two-sided markets with multiple unit-supply sellers and multiple unit-demand buyers. A classical impossibility result by Myerson and Satterthwaite showed that even…

计算机科学与博弈论 · 计算机科学 2017-06-20 Johannes Brustle , Yang Cai , Fa Wu , Mingfei Zhao