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We study computationally and statistically efficient Reinforcement Learning algorithms for the linear Bellman Complete setting. This setting uses linear function approximation to capture value functions and unifies existing models like…

Machine Learning · Computer Science 2025-03-04 Runzhe Wu , Ayush Sekhari , Akshay Krishnamurthy , Wen Sun

Recent studies have revealed that neural combinatorial optimization (NCO) has advantages over conventional algorithms in many combinatorial optimization problems such as routing, but it is less efficient for more complicated optimization…

Artificial Intelligence · Computer Science 2021-11-15 Dongda Li , Zhaoquan Gu , Yuexuan Wang , Changwei Ren , Francis C. M. Lau

Alignment in artificial intelligence pursues the consistency between model responses and human preferences as well as values. In practice, the multifaceted nature of human preferences inadvertently introduces what is known as the "alignment…

Computation and Language · Computer Science 2024-10-14 Yiju Guo , Ganqu Cui , Lifan Yuan , Ning Ding , Zexu Sun , Bowen Sun , Huimin Chen , Ruobing Xie , Jie Zhou , Yankai Lin , Zhiyuan Liu , Maosong Sun

With dynamic pricing on the rise, firms are using sophisticated algorithms for price determination. These algorithms are often non-interpretable and there has been a recent interest in their seemingly emergent ability to tacitly collude…

Computer Science and Game Theory · Computer Science 2024-10-25 Pravesh Koirala , Forrest Laine

The main purpose of a control allocator is to distribute a total control effort among redundant actuators. This paper proposes a discrete adaptive control allocator for over-actuated sampled-data systems in the presence of actuator…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Seyed Shahabaldin Tohidi , Yildiray Yildiz

An optimal trade-off design for fractional order (FO)-PID controller is proposed in this paper with a Linear Quadratic Regulator (LQR) based technique using two conflicting time domain control objectives. The deviation of the state…

Optimization and Control · Mathematics 2016-12-01 Saptarshi Das , Indranil Pan , Shantanu Das

This paper introduces a reinforcement learning framework that employs Proximal Policy Optimization (PPO) to dynamically optimize the weights of multiple large language model (LLM)-generated formulaic alphas for stock trading strategies.…

Computational Engineering, Finance, and Science · Computer Science 2026-03-05 Qizhao Chen , Hiroaki Kawashima

This paper applies a reinforcement learning (RL) method to solve infinite horizon continuous-time stochastic linear quadratic problems, where drift and diffusion terms in the dynamics may depend on both the state and control. Based on…

Optimization and Control · Mathematics 2021-09-17 Na Li , Xun Li , Jing Peng , Zuo Quan Xu

The present study focuses on a subject of significant interest in fluid dynamics: the identification of a model with decreased computational complexity from numerical code output using Koopman operator theory. A reduced-order modelling…

Numerical Analysis · Mathematics 2024-09-06 Diana A. Bistrian , Gabriel Dimitriu , Ionel M. Navon

Automated matching engines execute millions of orders per session, yet systematic asymmetries in latency, order size, and market access compound into persistent execution disparities that erode participant trust. We formulate provably fair…

Computer Science and Game Theory · Computer Science 2026-04-09 Zehua Cheng , Zhipeng Wang , Wei Dai , Wenhu Zhang , Vadzim Mahilny , David Shi , Elena Jia , Jiahao Sun

We propose a new model for the level I of a Limit Order Book (LOB), which incorporates the information about the standing orders at the opposite side of the book after each price change and the arrivals of new orders within the spread. Our…

Trading and Market Microstructure · Quantitative Finance 2016-03-15 Jonathan A. Chávez-Casillas , José E. Figueroa-López

Chain-of-Thought (CoT) has unlocked advanced reasoning abilities of Large Language Models (LLMs) with intermediate steps, yet incurs prohibitive computational costs due to generation of extra tokens. Recent studies empirically show that…

Artificial Intelligence · Computer Science 2026-05-27 Juncai Li , Ru Li , Yuxiang Zhou , Boxiang Ma , Jeff Z. Pan

Individual agents in a multi-agent system (MAS) may have decoupled open-loop dynamics, but a cooperative control objective usually results in coupled closed-loop dynamics thereby making the control design computationally expensive. The…

Systems and Control · Electrical Eng. & Systems 2021-03-09 Gangshan Jing , He Bai , Jemin George , Aranya Chakrabortty

Neural combinatorial optimization (NCO) is a promising learning-based approach for solving challenging combinatorial optimization problems without specialized algorithm design by experts. However, most constructive NCO methods cannot solve…

Machine Learning · Computer Science 2024-01-17 Fu Luo , Xi Lin , Fei Liu , Qingfu Zhang , Zhenkun Wang

We develop a large-scale deep learning model to predict price movements from limit order book (LOB) data of cash equities. The architecture utilises convolutional filters to capture the spatial structure of the limit order books as well as…

Computational Finance · Quantitative Finance 2020-01-24 Zihao Zhang , Stefan Zohren , Stephen Roberts

A reduced-order model algorithm, called ALP, is proposed to solve nonlinear evolution partial differential equations. It is based on approximations of generalized Lax pairs. Contrary to other reduced-order methods, like Proper Orthogonal…

Numerical Analysis · Mathematics 2014-03-04 Jean-Frédéric Gerbeau , Damiano Lombardi

It is often unnoticed that the predominant way to use collocation methods is fundamentally flawed when applied to optimal control in robotics. Such methods assume that the system dynamics is given by a first order ODE, whereas robots are…

Robotics · Computer Science 2023-02-20 Siro Moreno-Martín , Lluís Ros , Enric Celaya

Model-based reinforcement learning (RL) has proven to be a data efficient approach for learning control tasks but is difficult to utilize in domains with complex observations such as images. In this paper, we present a method for learning…

Machine Learning · Computer Science 2019-06-25 Marvin Zhang , Sharad Vikram , Laura Smith , Pieter Abbeel , Matthew J. Johnson , Sergey Levine

Current large language models (LLMs), even those explicitly trained for reasoning, often struggle with ambiguous content moderation cases due to misleading "decision shortcuts" embedded in context. Inspired by cognitive psychology insights…

Artificial Intelligence · Computer Science 2026-04-14 Bingzhe Wu , Haotian Lu , Yuchen Mou

Learning to optimize (L2O) has recently emerged as a promising approach to solving optimization problems by exploiting the strong prediction power of neural networks and offering lower runtime complexity than conventional solvers. While L2O…

Machine Learning · Computer Science 2021-12-21 Zhihui Shao , Jianyi Yang , Cong Shen , Shaolei Ren
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