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The problems of optimal recovery of unbounded operators are studied. Optimality means the highest possible accuracy and the minimal amount of discrete information involved. It is established that the truncation method, when certain…

Numerical Analysis · Mathematics 2025-05-13 Oleg Davydov , Sergei Solodky

All data are digitized, and hence are essentially integers rather than true real numbers. Ordinarily this causes no difficulties since the truncation or rounding usually occurs below the noise level. However, in some instances, when the…

Data Analysis, Statistics and Probability · Physics 2016-02-16 Kevin H. Knuth , J. Patrick Castle , Kevin R. Wheeler

Attribution and fact verification are critical challenges in natural language processing for assessing information reliability. While automated systems and Large Language Models (LLMs) aim to retrieve and select concise evidence to support…

Computation and Language · Computer Science 2026-01-30 Guy Alt , Eran Hirsch , Serwar Basch , Ido Dagan , Oren Glickman

On a wide range of natural language processing and information retrieval tasks, transformer-based models, particularly pre-trained language models like BERT, have demonstrated tremendous effectiveness. Due to the quadratic complexity of the…

Information Retrieval · Computer Science 2022-10-18 Minghan Li , Diana Nicoleta Popa , Johan Chagnon , Yagmur Gizem Cinar , Eric Gaussier

In large language model training, input documents are typically concatenated together and then split into sequences of equal length to avoid padding tokens. Despite its efficiency, the concatenation approach compromises data integrity -- it…

Computation and Language · Computer Science 2024-05-03 Hantian Ding , Zijian Wang , Giovanni Paolini , Varun Kumar , Anoop Deoras , Dan Roth , Stefano Soatto

Consensus maximization is widely used for robust fitting in computer vision. However, solving it exactly, i.e., finding the globally optimal solution, is intractable. A* tree search, which has been shown to be fixed-parameter tractable, is…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Zhipeng Cai , Tat-Jun Chin , Vladlen Koltun

An increasingly important building block of large scale machine learning systems is based on returning slates; an ordered lists of items given a query. Applications of this technology include: search, information retrieval and recommender…

Machine Learning · Computer Science 2024-01-01 Otmane Sakhi , David Rohde , Nicolas Chopin

Information retrieval involves selecting artifacts from a corpus that are most relevant to a given search query. The flavor of retrieval typically used in classical applications can be termed as homogeneous and relaxed, where queries and…

Information Retrieval · Computer Science 2023-10-10 Anirudh Khatry , Yasharth Bajpai , Priyanshu Gupta , Sumit Gulwani , Ashish Tiwari

Information retrieval systems such as open web search and recommendation systems are ubiquitous and significantly impact how people receive and consume online information. Previous research has shown the importance of fairness in…

Information Retrieval · Computer Science 2025-03-28 Fumian Chen , Hui Fang

Large language models (LLMs), with advanced linguistic capabilities, have been employed in reranking tasks through a sequence-to-sequence approach. In this paradigm, multiple passages are reranked in a listwise manner and a textual reranked…

Information Retrieval · Computer Science 2024-11-08 Ruiyang Ren , Yuhao Wang , Kun Zhou , Wayne Xin Zhao , Wenjie Wang , Jing Liu , Ji-Rong Wen , Tat-Seng Chua

Ranking is a central task in machine learning and information retrieval. In this task, it is especially important to present the user with a slate of items that is appealing as a whole. This in turn requires taking into account interactions…

Information Retrieval · Computer Science 2019-03-21 Irwan Bello , Sayali Kulkarni , Sagar Jain , Craig Boutilier , Ed Chi , Elad Eban , Xiyang Luo , Alan Mackey , Ofer Meshi

Generative retrieval (GR) has emerged as a promising paradigm in recommendation systems by autoregressively decoding identifiers of target items. Despite its potential, current approaches typically rely on the next-token prediction schema,…

Information Retrieval · Computer Science 2026-02-10 Kairui Fu , Changfa Wu , Kun Yuan , Binbin Cao , Dunxian Huang , Yuliang Yan , Junjun Zheng , Jianning Zhang , Silu Zhou , Jian Wu , Kun Kuang

One of the core problems in large-scale recommendations is to retrieve top relevant candidates accurately and efficiently, preferably in sub-linear time. Previous approaches are mostly based on a two-step procedure: first learn an…

Information Retrieval · Computer Science 2021-05-19 Weihao Gao , Xiangjun Fan , Chong Wang , Jiankai Sun , Kai Jia , Wenzhi Xiao , Ruofan Ding , Xingyan Bin , Hui Yang , Xiaobing Liu

Ranking consistently emerges as a primary focus in information retrieval research. Retrieval and ranking models serve as the foundation for numerous applications, including web search, open domain QA, enterprise domain QA, and text-based…

Information Retrieval · Computer Science 2024-12-16 Hansa Meghwani

This paper describes a purely data-driven solution to a class of sequential decision-making problems with a large number of concurrent online decisions, with applications to computing systems and operations research. We assume that while…

Artificial Intelligence · Computer Science 2019-10-02 Hardik Meisheri , Vinita Baniwal , Nazneen N Sultana , Balaraman Ravindran , Harshad Khadilkar

Adaptive reasoning is essential for aligning the computational effort of large language models (LLMs) with the intrinsic difficulty of problems. Current chain-of-thought methods boost reasoning ability but indiscriminately generate long…

Artificial Intelligence · Computer Science 2025-12-17 Ruofan Zhang , Bin Xia , Zhen Cheng , Cairen Jian , Minglun Yang , Ngai Wong , Yuan Cheng

Authors often transform a large screen visualization for smaller displays through rescaling, aggregation and other techniques when creating visualizations for both desktop and mobile devices (i.e., responsive visualization). However,…

Human-Computer Interaction · Computer Science 2021-07-20 Hyeok Kim , Ryan Rossi , Abhraneel Sarma , Dominik Moritz , Jessica Hullman

We consider information retrieval when the data, for instance multimedia, is coputationally expensive to fetch. Our approach uses "information filters" to considerably narrow the universe of possiblities before retrieval. We are especially…

Information Retrieval · Computer Science 2007-05-23 Neil C. Rowe

Online learning to rank is a sequential decision-making problem where in each round the learning agent chooses a list of items and receives feedback in the form of clicks from the user. Many sample-efficient algorithms have been proposed…

Machine Learning · Statistics 2019-03-20 Tor Lattimore , Branislav Kveton , Shuai Li , Csaba Szepesvari

Large-scale e-commerce search must surface a broad set of items from a vast catalog, ranging from bestselling products to new, trending, or seasonal items. Modern systems therefore rely on multiple specialized retrieval channels to surface…

Information Retrieval · Computer Science 2026-03-09 Aditya Gaydhani , Guangyue Xu , Dhanush Kamath , Ankit Singh , Alex Li