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In this paper, we propose a learning-to-optimize (L2O) framework to accelerate solving parametric mixed-integer quadratic programming (MIQP) problems, with a particular focus on mixed-integer model predictive control (MI-MPC) applications.…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Viet-Anh Le , Mu Xie , Rahul Mangharam

In this paper, we generalize existing frameworks for $\mathcal{H}_2\otimes\mathcal{L}_2$-optimal model order reduction to a broad class of parametric linear time-invariant systems. To this end, we derive first-order necessary ptimality…

Optimization and Control · Mathematics 2022-04-04 Manuela Hund , Tim Mitchell , Petar Mlinarić , Jens Saak

As Large Language Models (LLMs) achieve remarkable empirical success through scaling model and data size, pretraining has become increasingly critical yet computationally prohibitive, hindering rapid development. Despite the availability of…

Computation and Language · Computer Science 2026-02-06 Ji Zhao , Yufei Gu , Shitong Shao , Xun Zhou , Liang Xiang , Zeke Xie

We present Lil-Bevo, our submission to the BabyLM Challenge. We pretrained our masked language models with three ingredients: an initial pretraining with music data, training on shorter sequences before training on longer ones, and masking…

Computation and Language · Computer Science 2026-04-17 Venkata S Govindarajan , Juan Diego Rodriguez , Kaj Bostrom , Kyle Mahowald

When optimizing over-parameterized models, such as deep neural networks, a large set of parameters can achieve zero training error. In such cases, the choice of the optimization algorithm and its respective hyper-parameters introduces…

Machine Learning · Computer Science 2019-12-06 Gauthier Gidel , Francis Bach , Simon Lacoste-Julien

Reinforcement learning has been central to recent advances in large language model reasoning, but most algorithms rely on on-policy training that demands fresh rollouts at every update, limiting efficiency and scalability. Asynchronous RL…

Machine Learning · Computer Science 2025-10-29 Haizhong Zheng , Jiawei Zhao , Beidi Chen

Pretraining large language models effectively requires strategic data selection, blending and ordering. However, key details about data mixtures especially their scalability to longer token horizons and larger model sizes remain…

Computation and Language · Computer Science 2024-12-23 Steven Feng , Shrimai Prabhumoye , Kezhi Kong , Dan Su , Mostofa Patwary , Mohammad Shoeybi , Bryan Catanzaro

We study the role of $L_2$ regularization in deep learning, and uncover simple relations between the performance of the model, the $L_2$ coefficient, the learning rate, and the number of training steps. These empirical relations hold when…

Machine Learning · Statistics 2021-01-05 Aitor Lewkowycz , Guy Gur-Ari

Large language models (LLMs) excel at complex tasks thanks to advances in their reasoning abilities. However, existing methods overlook the trade-off between reasoning effectiveness and efficiency, often encouraging unnecessarily long…

Machine Learning · Computer Science 2025-10-16 Jingyao Wang , Wenwen Qiang , Zeen Song , Changwen Zheng , Hui Xiong

Our work focuses on deep learning (DL) portfolio optimization, tackling challenges in long-only, multi-asset strategies across market cycles. We propose training models with limited regime data using pre-training techniques and leveraging…

Portfolio Management · Quantitative Finance 2026-01-14 Brandon Luo , Jim Skufca

Transformer training is notoriously difficult, requiring a careful design of optimizers and use of various heuristics. We make progress towards understanding the subtleties of training Transformers by carefully studying a simple yet…

Machine Learning · Computer Science 2024-03-14 Kwangjun Ahn , Xiang Cheng , Minhak Song , Chulhee Yun , Ali Jadbabaie , Suvrit Sra

Analog IC design relies on human experts to search for parameters that satisfy circuit specifications with their experience and intuitions, which is highly labor intensive, time consuming and suboptimal. Machine learning is a promising tool…

Machine Learning · Computer Science 2020-12-08 Hanrui Wang , Jiacheng Yang , Hae-Seung Lee , Song Han

As application demands for online convex optimization accelerate, the need for designing new methods that simultaneously cover a large class of convex functions and impose the lowest possible regret is highly rising. Known online…

Machine Learning · Computer Science 2019-06-04 Saeed Masoudian , Ali Arabzadeh , Mahdi Jafari Siavoshani , Milad Jalal , Alireza Amouzad

We study zeroth-order optimization where solutions must minimize a cost $d(s)$ while maintaining high probability under a complex generative prior $L(s)$ (e.g., a parameterized model). This reduces to sampling from a target distribution…

Machine Learning · Computer Science 2026-05-06 Pranjal Awasthi , Sreenivas Gollapudi , Ravi Kumar , Kamesh Munagala

In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

Recently, preference optimization methods such as DPO have significantly enhanced large language models (LLMs) in wide tasks including dialogue and question-answering. However, current methods fail to account for the varying difficulty…

Computation and Language · Computer Science 2024-12-31 Jingyuan Ma , Rui Li , Zheng Li , Lei Sha , Zhifang Sui

The machine learning of lattice operators has three possible bottlenecks. From a statistical standpoint, it is necessary to design a constrained class of operators based on prior information with low bias, and low complexity relative to the…

Machine Learning · Computer Science 2024-06-21 Diego Marcondes , Junior Barrera

Reinforcement Learning (RL) for training Large Language Models is notoriously unstable. While recent studies attribute this to "training inference mismatch stemming" from inconsistent hybrid engines, standard remedies, such as Importance…

Machine Learning · Computer Science 2026-02-03 Yaxiang Zhang , Yingru Li , Jiacai Liu , Jiawei Xu , Ziniu Li , Qian Liu , Haoyuan Li

Offline-to-online Reinforcement Learning (O2O RL) aims to improve the performance of offline pretrained policy using only a few online samples. Built on offline RL algorithms, most O2O methods focus on the balance between RL objective and…

Machine Learning · Computer Science 2023-12-14 Yinmin Zhang , Jie Liu , Chuming Li , Yazhe Niu , Yaodong Yang , Yu Liu , Wanli Ouyang

In many engineered systems, optimization is used for decision making at time-scales ranging from real-time operation to long-term planning. This process often involves solving similar optimization problems over and over again with slightly…

Optimization and Control · Mathematics 2019-01-18 Sidhant Misra , Line Roald , Yeesian Ng