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This paper studies a stochastic algorithm for linearly constrained nonconvex optimization, where the objective function is smooth but only unbiased stochastic gradients with bounded variance are available. We propose a momentum-based…

Optimization and Control · Mathematics 2026-04-16 Chenyang Qiu , Mihitha Maithripala , Zongli Lin

Graph learning from signals is a core task in Graph Signal Processing (GSP). One of the most commonly used models to learn graphs from stationary signals is SpecT. However, its practical formulation rSpecT is known to be sensitive to…

Machine Learning · Statistics 2023-05-03 Shangyuan Liu , Linglingzhi Zhu , Anthony Man-Cho So

Linear programming (LP) relaxations are widely employed in exact solution methods for multilinear programs (MLP). One example is the family of Recursive McCormick Linearization (RML) strategies, where bilinear products are substituted for…

Optimization and Control · Mathematics 2022-07-20 Arvind U Raghunathan , Carlos Cardonha , David Bergman , Carlos J Nohra

Efficiently routing queries to the optimal large language model (LLM) is crucial for optimizing the cost-performance trade-off in multi-model systems. However, most existing routers rely on single-model selection, making them susceptible to…

Machine Learning · Computer Science 2026-03-10 Sai Hao , Hao Zeng , Hongxin Wei , Bingyi Jing

Learning-based approaches, particularly reinforcement learning (RL), have become widely used for developing control policies for autonomous agents, such as locomotion policies for legged robots. RL training typically maximizes a predefined…

Robotics · Computer Science 2025-04-23 Dylan Khor , Bowen Weng

The success of DeepSeek-R1 demonstrates the immense potential of using reinforcement learning (RL) to enhance LLMs' reasoning capabilities. This paper introduces Retrv-R1, the first R1-style MLLM specifically designed for multimodal…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Lanyun Zhu , Deyi Ji , Tianrun Chen , Haiyang Wu , Shiqi Wang

Given the dynamic nature of traffic, we investigate the variant of robust network design where we have to determine the capacity to reserve on each link so that each demand vector belonging to a polyhedral set can be routed. The objective…

Computational Complexity · Computer Science 2021-01-29 Yacine Al-Najjar , Walid Ben-Ameur , Jeremie Leguay

This paper proposes a novel formulation for reinforcement learning (RL) with large language models, explaining why and under what conditions the true sequence-level reward can be optimized via a surrogate token-level objective in policy…

Machine Learning · Computer Science 2025-12-04 Chujie Zheng , Kai Dang , Bowen Yu , Mingze Li , Huiqiang Jiang , Junrong Lin , Yuqiong Liu , Hao Lin , Chencan Wu , Feng Hu , An Yang , Jingren Zhou , Junyang Lin

Factor analysis, a classical multivariate statistical technique is popularly used as a fundamental tool for dimensionality reduction in statistics, econometrics and data science. Estimation is often carried out via the Maximum Likelihood…

Optimization and Control · Mathematics 2018-01-19 Koulik Khamaru , Rahul Mazumder

This paper introduces a landing guidance strategy for reusable launch vehicles (RLVs) using a model predictive approach based on sequential convex programming (SCP). The proposed approach devises two distinct optimal control problems…

Systems and Control · Electrical Eng. & Systems 2025-08-14 Ki-Wook Jung , Sang-Don Lee , Cheol-Goo Jung , Chang-Hun Lee

Understanding the interaction between different road users is critical for road safety and automated vehicles (AVs). Existing mathematical models on this topic have been proposed based mostly on either cognitive or machine learning (ML)…

Rotation estimation plays a fundamental role in computer vision and robot tasks, and extremely robust rotation estimation is significantly useful for safety-critical applications. Typically, estimating a rotation is considered a non-linear…

Computer Vision and Pattern Recognition · Computer Science 2025-06-16 Yinlong Liu , Tianyu Huang , Zhi-Xin Yang

In non-linear estimations, it is common to assess sampling uncertainty by bootstrap inference. For complex models, this can be computationally intensive. This paper combines optimization with resampling: turning stochastic optimization into…

Econometrics · Economics 2022-05-09 Jean-Jacques Forneron

In this paper we consider the problem of pricing multiple differentiated products. This is challenging as a price change in one product, not only changes the demand of that particular product, but also the demand for the other products. To…

Optimization and Control · Mathematics 2017-10-27 Ruben van de Geer , Sandjai Bhulai

Distributionally robust control is a well-studied framework for optimal decision making under uncertainty, with the objective of minimizing an expected cost function over control actions, assuming the most adverse probability distribution…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Alexandros E. Tzikas , Lukas Fiechtner , Arec Jamgochian , Mykel J. Kochenderfer

Motion planning under differential constraints, kinodynamic motion planning, is one of the canonical problems in robotics. Currently, state-of-the-art methods evolve around kinodynamic variants of popular sampling-based algorithms, such as…

Robotics · Computer Science 2016-01-26 Oktay Arslan , Karl Berntorp , Panagiotis Tsiotras

Stochastic Model Predictive Control addresses uncertainties by incorporating chance constraints that provide probabilistic guarantees of constraint satisfaction. However, simultaneously optimizing over the risk allocation and the feedback…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Filipe Marques Barbosa , Johan Löfberg

This study presents a dynamic safety margin-based reinforcement learning framework for local motion planning in dynamic and uncertain environments. The proposed planner integrates real-time trajectory optimization with adaptive gap…

Robotics · Computer Science 2025-05-20 Tengfei Liu , Haoyang Zhong , Jiazheng Hu , Tan Zhang

Discrete choice models are fundamental tools in management science, economics, and marketing for understanding and predicting decision-making. Logit-based models are dominant in applied work, largely due to their convenient closed-form…

Methodology · Statistics 2026-04-06 Easton Huch , Michael Keane

Maximum Likelihood Estimation (MLE) and Likelihood Ratio Test (LRT) are widely used methods for estimating the transition probability matrix in Markov chains and identifying significant relationships between transitions, such as equality.…

Methodology · Statistics 2024-06-04 Yining Zhou , Ming Gao , Yiting Chen , Xiaoping Shi
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