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Deep neural networks, despite their success in numerous applications, often function without established theoretical foundations. In this paper, we bridge this gap by drawing parallels between deep learning and classical numerical analysis.…

Machine Learning · Computer Science 2023-10-04 Emanuele Zappala , Daniel Levine , Sizhuang He , Syed Rizvi , Sacha Levy , David van Dijk

Simulation and optimization are crucial for advancing the engineering design of complex systems and processes. Traditional optimization methods require substantial computational time and effort due to their reliance on resource-intensive…

Machine Learning · Computer Science 2025-08-28 Janak M. Patel , Milad Ramezankhani , Anirudh Deodhar , Dagnachew Birru

With edge intelligence, AI models are increasingly pushed to the edge to serve ubiquitous users. However, due to the drift of model, data, and task, AI model deployed at the edge suffers from degraded accuracy in the inference serving…

Machine Learning · Computer Science 2024-05-28 Huaiguang Cai , Zhi Zhou , Qianyi Huang

Algorithmic pricing raises a question of interpretation as well as intervention: when autonomous deep-learning pricing systems sustain supracompetitive prices, what strategic pattern have they learned, and how might market institutions…

Theoretical Economics · Economics 2026-05-19 Soumen Banerjee

We propose the Intuitive Reasoning Network (IRENE) - a novel neural model for intuitive psychological reasoning about agents' goals, preferences, and actions that can generalise previous experiences to new situations. IRENE combines a graph…

Artificial Intelligence · Computer Science 2023-12-13 Matteo Bortoletto , Lei Shi , Andreas Bulling

Optical neural networks (ONNs) have demonstrated record-breaking potential in high-performance neuromorphic computing due to their ultra-high execution speed and low energy consumption. However, current learning protocols fail to provide…

Emerging Technologies · Computer Science 2021-09-07 Jiaqi Gu , Chenghao Feng , Zheng Zhao , Zhoufeng Ying , Ray T. Chen , David Z. Pan

In-context learning (ICL) allows Transformers to adapt to novel tasks without weight updates, yet the underlying algorithms remain poorly understood. We adopt a statistical decision-theoretic perspective by investigating simple binary…

Machine Learning · Computer Science 2026-03-13 Faris Chaudhry , Siddhant Gadkari

We consider some classical optimization problems in path planning and network transport, and we introduce new auction-based algorithms for their optimal and suboptimal solution. The algorithms are based on mathematical ideas that are…

Optimization and Control · Mathematics 2022-07-21 Dimitri Bertsekas

Optimized trade execution is to sell (or buy) a given amount of assets in a given time with the lowest possible trading cost. Recently, reinforcement learning (RL) has been applied to optimized trade execution to learn smarter policies from…

Trading and Market Microstructure · Quantitative Finance 2023-07-24 Chuheng Zhang , Yitong Duan , Xiaoyu Chen , Jianyu Chen , Jian Li , Li Zhao

Despite the ubiquity of transportation data, methods to infer the state parameters of a network either ignore sensitivity of route decisions, require route enumeration for parameterizing descriptive models of route selection, or require…

Multiagent Systems · Computer Science 2020-08-14 Susan Jia Xu , Mehdi Nourinejad , Xuebo Lai , Joseph Y. J. Chow

We study a single risky financial asset model subject to price impact and transaction cost over an infinite horizon. An investor needs to execute a long position in the asset affecting the price of the asset and possibly incurring in fixed…

Trading and Market Microstructure · Quantitative Finance 2014-09-19 Mauricio Junca

Modern power systems require fast and accurate dynamic simulations for stability assessment, digital twins, and real-time control, but classical ODE solvers are often too slow for large-scale or online applications. We propose a…

Systems and Control · Electrical Eng. & Systems 2025-11-10 Ioannis Karampinis , Petros Ellinas , Johanna Vorwerk , Spyros Chatzivasileiadis

Uniform random exploration in decision-making systems supports off-policy learning via supervision but incurs high regret, making it impractical for many applications. Conversely, non-uniform exploration offers better immediate performance…

Machine Learning · Computer Science 2025-07-11 Akhila Vangara , Alex Egg

Efficient large-scale network allocation requires data-driven pricing mechanisms that internalize the stochastic and non-linear dynamics of user behavior. We move beyond the classic fully strategic agents to study oblivious users (agents…

Numerical Analysis · Mathematics 2026-05-28 Yixuan Li , Andersen Ang , Sebastian Stein

Optimizing the operation of heating, ventilation, and air-conditioning (HVAC) systems is a challenging task, requiring the modeling of complex nonlinear relationships among HVAC load, indoor temperatures, and outdoor environments. This…

Systems and Control · Electrical Eng. & Systems 2021-01-12 Youngjin Kim

Data is scaling exponentially in fields ranging from genomics to neuroscience to economics. A central question is: can modern machine learning methods be applied to construct predictive models of natural systems like cells and brains based…

Statistical Mechanics · Physics 2018-08-17 Audrey Huang , Benjamin Sheldan , David A. Sivak , Matt Thomson

In this work, we investigate an indirect approach for the numerical solution of optimal control problems via neural networks. A customized neural network is constructed, where optimal state, co-state and control trajectories are…

Optimization and Control · Mathematics 2025-02-13 Mominul Rubel , Gabriel Nicolosi

We study an online linear programming (OLP) problem under a random input model in which the columns of the constraint matrix along with the corresponding coefficients in the objective function are generated i.i.d. from an unknown…

Data Structures and Algorithms · Computer Science 2021-04-20 Xiaocheng Li , Yinyu Ye

Solving the optimal power flow (OPF) problem in real-time electricity market improves the efficiency and reliability in the integration of low-carbon energy resources into the power grids. To address the scalability and adaptivity issues of…

Machine Learning · Computer Science 2021-06-22 Shaohui Liu , Chengyang Wu , Hao Zhu

We introduce an output layer for neural networks that ensures satisfaction of convex constraints. Our approach, $\Pi$net, leverages operator splitting for rapid and reliable projections in the forward pass, and the implicit function theorem…

Machine Learning · Computer Science 2026-02-19 Panagiotis D. Grontas , Antonio Terpin , Efe C. Balta , Raffaello D'Andrea , John Lygeros
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