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We consider the classical problem of sequential resource allocation where a decision maker must repeatedly divide a budget between several resources, each with diminishing returns. This can be recast as a specific stochastic optimization…

Machine Learning · Statistics 2020-01-17 Xavier Fontaine , Shie Mannor , Vianney Perchet

Large Language Models (LLMs) can be seen as compressed knowledge bases, but it remains unclear what knowledge they truly contain and how far their knowledge boundary extends. Existing benchmarks are mostly static and provide limited support…

Machine Learning · Computer Science 2026-05-27 Yuheng Yang , Siqi Zhu , Tao Feng , Ge Liu , Jiaxuan You

Several Radio Resource Management (RRM) use cases can be framed as sequential decision planning problems, where an agent (the base station, typically) makes decisions that influence the network utility and state. While Reinforcement…

Networking and Internet Architecture · Computer Science 2024-05-31 Lorenzo Maggi , Matthew Andrews , Ryo Koblitz

In the quest to enable robots to coexist with humans, understanding dynamic situations and selecting appropriate actions based on common sense and affordances are essential. Conventional AI systems face challenges in applying affordance, as…

Artificial Intelligence · Computer Science 2025-04-03 Kazuma Arii , Satoshi Kurihara

LLM routing aims to select the most appropriate model for each query, balancing competing performance metrics such as accuracy and cost across a pool of language models. Prior approaches typically adopt a decoupled strategy, where the…

Artificial Intelligence · Computer Science 2026-01-05 Asterios Tsiourvas , Wei Sun , Georgia Perakis

We identify a common scheme in several existing algorithms addressing computational problems on linear differential equations with polynomial coefficients. These algorithms reduce to computing a linear relation between vectors obtained as…

Symbolic Computation · Computer Science 2025-05-05 Louis Gaillard

Recent advances in Deep Research Agents (DRAs) are transforming automated knowledge discovery and problem-solving. While the majority of existing efforts focus on enhancing policy capabilities via post-training, we propose an alternative…

Artificial Intelligence · Computer Science 2026-04-30 Yuxuan Wan , Tianqing Fang , Zaitang Li , Yintong Huo , Wenxuan Wang , Haitao Mi , Dong Yu , Michael R. Lyu

In this study, we aim to enhance the arithmetic reasoning ability of Large Language Models (LLMs) through zero-shot prompt optimization. We identify a previously overlooked objective of query dependency in such optimization and elucidate…

Computation and Language · Computer Science 2024-03-08 Hao Sun , Alihan Hüyük , Mihaela van der Schaar

We consider a class of optimization problems that involve determining the maximum value that a function in a particular class can attain subject to a collection of difference constraints. We show that a particular linear programming…

Data Structures and Algorithms · Computer Science 2022-11-16 Sungjin Im , Benjamin Moseley , Hung Q. Ngo , Kirk Pruhs , Alireza Samadian

Automated Machine Learning (AutoML) automatically builds machine learning (ML) models on data. The de facto standard for evaluating new AutoML frameworks for tabular data is the AutoML Benchmark (AMLB). AMLB proposed to evaluate AutoML…

Machine Learning · Computer Science 2025-04-16 Israel Campero Jurado , Pieter Gijsbers , Joaquin Vanschoren

We study the problem of using low computational cost to automate the choices of learners and hyperparameters for an ad-hoc training dataset and error metric, by conducting trials of different configurations on the given training data. We…

Machine Learning · Computer Science 2021-05-20 Chi Wang , Qingyun Wu , Markus Weimer , Erkang Zhu

We propose a new data-driven method to select the optimal number of relevant components in Principal Component Analysis (PCA). This new method applies to correlation matrices whose time autocorrelation function decays more slowly than an…

Statistical Finance · Quantitative Finance 2019-10-07 Anshul Verma , Pierpaolo Vivo , Tiziana Di Matteo

Amortized analysis is a cost analysis technique for data structures in which cost is studied in aggregate: rather than considering the maximum cost of a single operation, one bounds the total cost encountered throughout a session.…

Programming Languages · Computer Science 2024-12-18 Harrison Grodin , Robert Harper

As large language models (LLMs) evolve into autonomous agents that execute long-horizon workflows, invoking a high-capability model at every step becomes economically unsustainable. While model routing is effective for single-turn queries,…

Computation and Language · Computer Science 2026-02-26 Caiqi Zhang , Menglin Xia , Xuchao Zhang , Daniel Madrigal , Ankur Mallick , Samuel Kessler , Victor Ruehle , Saravan Rajmohan

The intersection of causal inference and machine learning for decision-making is rapidly expanding, but the default decision criterion remains an \textit{average} of individual causal outcomes across a population. In practice, various…

Machine Learning · Computer Science 2022-11-08 Wenshuo Guo , Michael I. Jordan , Angela Zhou

This work proposes a novel technique Augmented Reinforcement Learning framework for the improvement of decision-making capabilities of machine learning models. The introduction of agents as external overseers checks on model decisions. The…

Machine Learning · Computer Science 2025-08-05 Sandesh Kumar Singh

Offline reinforcement learning (RL) aims to find an optimal policy for Markov decision processes (MDPs) using a pre-collected dataset. In this work, we revisit the linear programming (LP) reformulation of Markov decision processes for…

Machine Learning · Computer Science 2024-12-11 Asuman Ozdaglar , Sarath Pattathil , Jiawei Zhang , Kaiqing Zhang

We suggest a general oracle-based framework that captures different parallel stochastic optimization settings described by a dependency graph, and derive generic lower bounds in terms of this graph. We then use the framework and derive…

Optimization and Control · Mathematics 2019-02-12 Blake Woodworth , Jialei Wang , Adam Smith , Brendan McMahan , Nathan Srebro

Agent-based models (ABMs) have shown promise for modelling various real world phenomena incompatible with traditional equilibrium analysis. However, a critical concern is the manual definition of behavioural rules in ABMs. Recent…

Multiagent Systems · Computer Science 2024-02-02 Benjamin Patrick Evans , Sumitra Ganesh

Large Language Models (LLMs) are increasingly deployed in time-critical systems, such as robotics, autonomous driving, embodied intelligence, and industrial automation, where generating accurate responses within a given time budget is…

Computation and Language · Computer Science 2025-12-29 Qi Fan , An Zou , Yehan Ma