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We introduce a method for proving almost sure termination in the context of lambda calculus with continuous random sampling and explicit recursion, based on ranking supermartingales. This result is extended in three ways. Antitone ranking…

Programming Languages · Computer Science 2021-05-04 Andrew Kenyon-Roberts , Luke Ong

We study the problem of fine-tuning a language model (LM) for a target task by optimally using the information from $n$ auxiliary tasks. This problem has broad applications in NLP, such as targeted instruction tuning and data selection in…

Computation and Language · Computer Science 2025-06-03 Dongyue Li , Ziniu Zhang , Lu Wang , Hongyang R. Zhang

Intuitively, an ideal collaborative filtering (CF) model should learn from users' full rankings over all items to make optimal top-K recommendations. Due to the absence of such full rankings in practice, most CF models rely on pairwise loss…

Information Retrieval · Computer Science 2024-12-25 Yuhan Zhao , Rui Chen , Li Chen , Shuang Zhang , Qilong Han , Hongtao Song

Motivated by penalized likelihood maximization in complex models, we study optimization problems where neither the function to optimize nor its gradient have an explicit expression, but its gradient can be approximated by a Monte Carlo…

Computation · Statistics 2017-09-28 Gersende Fort , Edouard Ollier , Adeline Samson

Multimodal Review Helpfulness Prediction (MRHP) aims to rank product reviews based on predicted helpfulness scores and has been widely applied in e-commerce via presenting customers with useful reviews. Previous studies commonly employ…

Computation and Language · Computer Science 2026-05-13 Thong Nguyen , Xiaobao Wu , Xinshuai Dong , Anh Tuan Luu , Cong-Duy Nguyen , Zhen Hai , Lidong Bing

Natural policy gradient (NPG) is a common policy optimization algorithm and can be viewed as mirror ascent in the space of probabilities. Recently, Vaswani et al. [2021] introduced a policy gradient method that corresponds to mirror ascent…

Machine Learning · Computer Science 2025-06-02 Reza Asad , Reza Babanezhad , Issam Laradji , Nicolas Le Roux , Sharan Vaswani

Scaling deep learning recommendation models is an effective way to improve model expressiveness. Existing approaches often incur substantial computational overhead, making them difficult to deploy in large-scale industrial systems under…

Information Retrieval · Computer Science 2026-02-10 Shikang Wu , Hui Lu , Jinqiu Jin , Zheng Chai , Shiyong Hong , Junjie Zhang , Shanlei Mu , Kaiyuan Ma , Tianyi Liu , Yuchao Zheng , Zhe Wang , Jingjian Lin

We study the foundations of variational inference, which frames posterior inference as an optimisation problem, for probabilistic programming. The dominant approach for optimisation in practice is stochastic gradient descent. In particular,…

Programming Languages · Computer Science 2023-01-10 Basim Khajwal , C. -H. Luke Ong , Dominik Wagner

Symbolic techniques based on Satisfiability Modulo Theory (SMT) solvers have been proposed for analyzing and verifying neural network properties, but their usage has been fairly limited owing to their poor scalability with larger networks.…

Machine Learning · Computer Science 2021-05-06 Subham Sekhar Sahoo , Subhashini Venugopalan , Li Li , Rishabh Singh , Patrick Riley

A common challenge in real-time operations is deciding whether to re-solve an optimization problem or continue using an existing solution. While modern data platforms may collect information at high frequencies, many real-time operations…

Machine Learning · Computer Science 2025-09-30 Rui Ai , Hugo De Oliveira Barbalho , Sirui Li , Alexei Robsky , David Simchi-Levi , Ishai Menache

We provide performance guarantees for a variant of simulation-based policy iteration for controlling Markov decision processes that involves the use of stochastic approximation algorithms along with state-of-the-art techniques that are…

Machine Learning · Computer Science 2022-10-17 Anna Winnicki , R. Srikant

Solving arithmetic word problems is a cornerstone task in assessing language understanding and reasoning capabilities in NLP systems. Recent works use automatic extraction and ranking of candidate solution equations providing the answer to…

Computation and Language · Computer Science 2021-03-10 Klim Zaporojets , Giannis Bekoulis , Johannes Deleu , Thomas Demeester , Chris Develder

We consider the classic problem of establishing a statistical ranking of a set of n items given a set of inconsistent and incomplete pairwise comparisons between such items. Instantiations of this problem occur in numerous applications in…

Machine Learning · Computer Science 2015-04-07 Mihai Cucuringu

Relying on the classical connection between Backward Stochastic Differential Equations (BSDEs) and non-linear parabolic partial differential equations (PDEs), we propose a new probabilistic learning scheme for solving high-dimensional…

Numerical Analysis · Mathematics 2021-02-25 Jean-François Chassagneux , Junchao Chen , Noufel Frikha , Chao Zhou

This paper proposes a novel proximal-gradient algorithm for a decentralized optimization problem with a composite objective containing smooth and non-smooth terms. Specifically, the smooth and nonsmooth terms are dealt with by gradient and…

Optimization and Control · Mathematics 2021-02-02 Zhi Li , Wei Shi , Ming Yan

In this paper, we propose an efficient algorithm for the network slicing problem which attempts to map multiple customized virtual network requests (also called services) to a common shared network infrastructure and allocate network…

Information Theory · Computer Science 2023-02-14 Wei-Kun Chen , Ya-Feng Liu , Fan Liu , Yu-Hong Dai , Zhi-Quan Luo

We propose Top-N-Rank, a novel family of list-wise Learning-to-Rank models for reliably recommending the N top-ranked items. The proposed models optimize a variant of the widely used discounted cumulative gain (DCG) objective function which…

Information Retrieval · Computer Science 2018-12-20 Junjie Liang , Jinlong Hu , Shoubin Dong , Vasant Honavar

We propose a new model for supervised learning to rank. In our model, the relevance labels are assumed to follow a categorical distribution whose probabilities are constructed based on a scoring function. We optimize the training objective…

Machine Learning · Computer Science 2020-02-19 Siamak Zamani Dadaneh , Shahin Boluki , Mingyuan Zhou , Xiaoning Qian

Cutting planes (cuts) are important for solving mixed-integer linear programs (MILPs), which formulate a wide range of important real-world applications. Cut selection -- which aims to select a proper subset of the candidate cuts to improve…

Machine Learning · Computer Science 2023-02-02 Zhihai Wang , Xijun Li , Jie Wang , Yufei Kuang , Mingxuan Yuan , Jia Zeng , Yongdong Zhang , Feng Wu

In many modern LLM applications, such as retrieval augmented generation, prompts have become programs themselves. In these settings, prompt programs are repeatedly called with different user queries or data instances. A big practical…

Computation and Language · Computer Science 2024-07-01 Tobias Schnabel , Jennifer Neville