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We study the factors affecting training time in multi-device deep learning systems. Given a specification of a convolutional neural network, our goal is to minimize the time to train this model on a cluster of commodity CPUs and GPUs. We…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-20 Stefan Hadjis , Ce Zhang , Ioannis Mitliagkas , Dan Iter , Christopher Ré

We initiate a systematic study of utilizing predictions to improve over approximation guarantees of classic algorithms, without increasing the running time. We propose a systematic method for a wide class of optimization problems that ask…

Data Structures and Algorithms · Computer Science 2024-11-26 Antonios Antoniadis , Marek Eliáš , Adam Polak , Moritz Venzin

Extending Bayesian optimization to batch evaluation can enable the designer to make the most use of parallel computing technology. However, most of current batch approaches do not scale well with the batch size. That is, their performances…

Machine Learning · Computer Science 2025-04-25 Dawei Zhan , Zhaoxi Zeng , Shuoxiao Wei , Ping Wu

Chain-of-Thought (CoT) reasoning has driven recent gains of large language models (LLMs) on reasoning-intensive tasks by externalizing intermediate steps. However, excessive or redundant reasoning -- so-called overthinking -- can increase…

Computation and Language · Computer Science 2025-10-14 Renliang Sun , Wei Cheng , Dawei Li , Haifeng Chen , Wei Wang

Modern Reinforcement Learning (RL) is more than just learning the optimal policy; Alternative learning goals such as exploring the environment, estimating the underlying model, and learning from preference feedback are all of practical…

Machine Learning · Computer Science 2024-12-24 Fan Chen , Song Mei , Yu Bai

Sampling multiple responses is a common way to improve LLM output quality, but it comes at the cost of additional computation. The key challenge is deciding when to stop generating new samples to balance accuracy gains against efficiency.…

Machine Learning · Computer Science 2025-10-21 Guangya Wan , Zixin Stephen Xu , Sasa Zorc , Manel Baucells , Mengxuan Hu , Hao Wang , Sheng Li

We propose an approach to trajectory optimization for piecewise polynomial systems based on the recently proposed graphs of convex sets framework. We instantiate the framework with a convex relaxation of optimal control based on occupation…

Optimization and Control · Mathematics 2025-07-28 Etienne Buehrle , Ömer Şahin Taş , Christoph Stiller

Ensembling has a long history in statistical data analysis, with many impactful applications. However, in many modern machine learning settings, the benefits of ensembling are less ubiquitous and less obvious. We study, both theoretically…

Machine Learning · Statistics 2023-05-23 Ryan Theisen , Hyunsuk Kim , Yaoqing Yang , Liam Hodgkinson , Michael W. Mahoney

We consider a cooperative learning scenario where a collection of networked agents with individually owned classifiers dynamically update their predictions, for the same classification task, through communication or observations of each…

Data Structures and Algorithms · Computer Science 2024-06-03 Shahrzad Haddadan , Cheng Xin , Jie Gao

Test-time scaling can improve model performance by aggregating stochastic reasoning trajectories. However, achieving sample-efficient test-time self-consistency under a limited budget remains an open challenge. We introduce PETS (Principled…

Machine Learning · Computer Science 2026-02-20 Zhangyi Liu , Huaizhi Qu , Xiaowei Yin , He Sun , Yanjun Han , Tianlong Chen , Zhun Deng

A heterogeneous architecture composed by a host and an accelerator must frequently deal with situations where several independent tasks are available to be offloaded onto the accelerator. These tasks can be generated by concurrent…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-03 A. J. Lázaro-Muñoz , J. M. González-Linares , J. Gómez-Luna , N. Guil

The Collatz conjecture, which posits that any positive integer will eventually reach 1 through a specific iterative process, is a classic unsolved problem in mathematics. This research focuses on designing an efficient algorithm to compute…

Mathematical Software · Computer Science 2025-07-02 Eyob Solomon Getachew , Beakal Gizachew Assefa

In most machine learning applications, classification accuracy is not the primary metric of interest. Binary classifiers which face class imbalance are often evaluated by the $F_\beta$ score, area under the precision-recall curve, Precision…

Machine Learning · Computer Science 2018-03-02 Alan Mackey , Xiyang Luo , Elad Eban

Deep neural networks have achieved state-of-art performance in many domains including computer vision, natural language processing and self-driving cars. However, they are very computationally expensive and memory intensive which raises…

Machine Learning · Computer Science 2020-04-13 Besher Alhalabi , Mohamed Medhat Gaber , Shadi Basurra

In recent months, substantial progress has been made in complex reasoning of Large Language Models, particularly through the application of test-time scaling. Notable examples include o1/o3/o4 series and DeepSeek-R1. When responding to a…

Artificial Intelligence · Computer Science 2025-08-28 Xifeng Yao , Chengyuan Ma , Dongyu Lang , Yinhao Ni , Zhiwei Xu , Huarui Xie , Zihao Chen , Guang Shen , Dandan Tu , Yi Bai , Changzheng Zhang

Time series classification faces a fundamental trade-off between accuracy and computational efficiency. While comprehensive ensembles like HIVE-COTE 2.0 achieve state-of-the-art accuracy, their 340-hour training time on the UCR benchmark…

Machine Learning · Computer Science 2025-12-09 Urav Maniar

It is increasingly common to encounter prediction tasks in the biomedical sciences for which multiple datasets are available for model training. Common approaches such as pooling datasets and applying standard statistical learning methods…

Machine Learning · Statistics 2021-10-05 Gabriel Loewinger , Rolando Acosta Nunez , Rahul Mazumder , Giovanni Parmigiani

In some important application areas of hard real-time systems, preemptive sporadic tasks with harmonic periods and constraint deadlines running upon a uni-processor platform play an important role. We propose a new algorithm for determining…

Operating Systems · Computer Science 2019-12-04 Thi Huyen Chau Nguyen , Werner Grass , Klaus Jansen

We introduce the concept of strong high-order approximate minimizers for nonconvex optimization problems. These apply in both standard smooth and composite non-smooth settings, and additionally allow convex or inexpensive constraints. An…

Optimization and Control · Mathematics 2020-01-30 Coralia Cartis , Nick Gould , Philippe L. Toint

This paper investigates the problem of efficient constrained global optimization of hybrid models that are a composition of a known white-box function and an expensive multi-output black-box function subject to noisy observations, which…

Machine Learning · Statistics 2023-07-31 Congwen Lu , Joel A. Paulson