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We propose a general framework for reconstructing and denoising single entries of incomplete and noisy entries. We describe: effective algorithms for deciding if and entry can be reconstructed and, if so, for reconstructing and denoising…

Machine Learning · Statistics 2013-04-02 Franz J. Király , Louis Theran

Clinicians need ranking systems that work in real time and still justify their choices. Motivated by the need for a low-latency, decoder-based reranker, we present OG-Rank, a single-decoder approach that pairs a pooled first-token scoring…

Artificial Intelligence · Computer Science 2025-10-21 Praphul Singh , Corey Barrett , Sumana Srivasta , Irfan Bulu , Sri Gadde , Krishnaram Kenthapadi

In light of recent data science trends, new interest has fallen in alternative matrix factorizations. By this, we mean various ways of factorizing particular data matrices so that the factors have special properties and reveal insights into…

Optimization and Control · Mathematics 2023-02-21 Andries Steenkamp

Instance segmentation can detect where the objects are in an image, but hard to understand the relationship between them. We pay attention to a typical relationship, relative saliency. A closely related task, salient object detection,…

Computer Vision and Pattern Recognition · Computer Science 2021-06-11 Hao Fang , Daoxin Zhang , Yi Zhang , Minghao Chen , Jiawei Li , Yao Hu , Deng Cai , Xiaofei He

This paper offers a matrix-free first-order numerical method to solve large-scale conic optimization problems. Solving systems of linear equations pose the most computationally challenging part in both first-order and second-order numerical…

Optimization and Control · Mathematics 2022-03-11 Muhammad Adil , Ramtin Madani , Sasan Tavakkol , Ali Davoudi

In modern recommender systems, list-wise reranking serves as a critical phase within the multi-stage pipeline, finalizing the exposed item sequence and directly impacting user satisfaction by modeling complex intra-list item dependencies.…

In the work are defined the concepts semi-canonical and canonical binary matrix. What is described is an algorithm solving the combinatorial problem for finding the semi-canonical matrices in the set \Lambda_n^k consisting of all n\times n…

Data Structures and Algorithms · Computer Science 2014-04-28 Krasimir Yordzhev

This paper deals with algorithms for producing and ordering lexical and nonlexical sequences of a given degree. The notion of "elementary operations" on positive integral sequences is introduced. Our main theorem answers the question of…

Combinatorics · Mathematics 2014-03-24 Elias Abboud

A key challenge with machine learning approaches for ranking is the gap between the performance metrics of interest and the surrogate loss functions that can be optimized with gradient-based methods. This gap arises because ranking metrics…

Machine Learning · Computer Science 2021-11-30 Robin Swezey , Aditya Grover , Bruno Charron , Stefano Ermon

We study the problem of ranking with submodular valuations. An instance of this problem consists of a ground set $[m]$, and a collection of $n$ monotone submodular set functions $f^1, \ldots, f^n$, where each $f^i: 2^{[m]} \to R_+$. An…

Data Structures and Algorithms · Computer Science 2010-07-16 Yossi Azar , Iftah Gamzu

In computer science, sorting algorithms are crucial for data processing and machine learning. Large datasets and high efficiency requirements provide challenges for comparison-based algorithms like Quicksort and Merge sort, which achieve…

Data Structures and Algorithms · Computer Science 2024-10-01 Amin Amini

Sorting is needed in many application domains. The data is read from memory and sent to a general purpose processor or application specific hardware for sorting. The sorted data is then written back to the memory. Reading/writing data…

Emerging Technologies · Computer Science 2022-02-08 Mohsen Riahi Alam , M. Hassan Najafi , Nima TaheriNejad

Randomized sampling has recently been demonstrated to be an efficient technique for computing approximate low-rank factorizations of matrices for which fast methods for computing matrix vector products are available. This paper describes an…

Numerical Analysis · Mathematics 2008-06-17 Per-Gunnar Martinsson

Sorting a set of items is a task that can be useful by itself or as a building block for more complex operations. That is why a lot of effort has been put into finding sorting algorithms that sort large sets as fast as possible. But the…

Data Structures and Algorithms · Computer Science 2020-10-05 Timo Bingmann , Jasper Marianczuk , Peter Sanders

Integer partitions may be encoded as either ascending or descending compositions for the purposes of systematic generation. Many algorithms exist to generate all descending compositions, yet none have previously been published to generate…

Data Structures and Algorithms · Computer Science 2014-05-05 Jerome Kelleher , Barry O'Sullivan

A novel paradigm for sorting is introduced, based upon resetting. Using simple examples, we demonstrate that sorting is achieved by resetting the velocity component(s) or orientation of the particles, rather than position. The objects to be…

Statistical Mechanics · Physics 2026-03-23 Bart Cleuren , Ralf Eichhorn

We propose a novel and efficient algorithm for the collaborative preference completion problem, which involves jointly estimating individualized rankings for a set of entities over a shared set of items, based on a limited number of…

Machine Learning · Statistics 2016-11-16 Suriya Gunasekar , Oluwasanmi Koyejo , Joydeep Ghosh

Ranking algorithms are deployed widely to order a set of items in applications such as search engines, news feeds, and recommendation systems. Recent studies, however, have shown that, left unchecked, the output of ranking algorithms can…

Data Structures and Algorithms · Computer Science 2018-07-31 L. Elisa Celis , Damian Straszak , Nisheeth K. Vishnoi

Much of the copious literature on the subject of sorting has concentrated on minimizing the number of comparisons and/or exchanges/copies. However, a more appropriate yardstick for the performance of sorting algorithms is based on the total…

Data Structures and Algorithms · Computer Science 2020-12-03 R. C. Hillyard , Yunlu Liaozheng , Sai Vineeth K. R

We give reconstruction algorithms for subclasses of depth-3 arithmetic circuits. In particular, we obtain the first efficient algorithm for finding tensor rank, and an optimal tensor decomposition as a sum of rank-one tensors, when given…

Computational Complexity · Computer Science 2022-09-12 Shir Peleg , Amir Shpilka , Ben Lee Volk
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