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When reasoning about tasks that involve large amounts of data, a common approach is to represent data items as objects in the Hamming space where operations can be done efficiently and effectively. Object similarity can then be computed by…

Information Retrieval · Computer Science 2021-03-29 Christian Hansen , Casper Hansen , Jakob Grue Simonsen , Christina Lioma

Ultra-large chemical libraries are reaching 10s to 100s of billions of molecules. A challenge for these libraries is to efficiently check if a proposed molecule is present. Here we propose and study Bloom filters for testing if a molecule…

Chemical Physics · Physics 2023-04-12 Jorge Medina , Andrew D White

Filters (such as Bloom Filters) are data structures that speed up network routing and measurement operations by storing a compressed representation of a set. Filters are space efficient, but can make bounded one-sided errors: with tunable…

Data Structures and Algorithms · Computer Science 2021-05-25 Tsvi Kopelowitz , Samuel McCauley , Ely Porat

Minwise hashing is the standard technique in the context of search and databases for efficiently estimating set (e.g., high-dimensional 0/1 vector) similarities. Recently, b-bit minwise hashing was proposed which significantly improves upon…

Machine Learning · Statistics 2011-08-04 Ping Li , Christian Konig

The article proposes a heuristic approximation approach to the bin packing problem under multiple objectives. In addition to the traditional objective of minimizing the number of bins, the heterogeneousness of the elements in each bin is…

Artificial Intelligence · Computer Science 2008-09-05 Martin Josef Geiger

Despite its popularity, it is widely recognized that the investigation of some theoretical aspects of clustering has been relatively sparse. One of the main reasons for this lack of theoretical results is surely the fact that, whereas for…

Statistics Theory · Mathematics 2015-12-11 José E. Chacón

We consider the problem of learning a binary classifier from a training set of positive and unlabeled examples, both in the inductive and in the transductive setting. This problem, often referred to as \emph{PU learning}, differs from the…

Machine Learning · Statistics 2010-10-06 Fantine Mordelet , Jean-Philippe Vert

Binary vector embeddings enable fast nearest neighbor retrieval in large databases of high-dimensional objects, and play an important role in many practical applications, such as image and video retrieval. We study the problem of learning…

Computer Vision and Pattern Recognition · Computer Science 2018-06-26 Fatih Cakir , Kun He , Sarah Adel Bargal , Stan Sclaroff

The study of {\em balls-into-bins processes} or {\em occupancy problems} has a long history. These processes can be used to translate realistic problems into mathematical ones in a natural way. In general, the goal of a balls-into-bins…

Data Structures and Algorithms · Computer Science 2015-05-19 Tugkan Batu , Petra Berenbrink , Colin Cooper

We study the problem of abstracting a table of data about individuals so that no selection query can identify fewer than k individuals. We show that it is impossible to achieve arbitrarily good polynomial-time approximations for a number of…

Data Structures and Algorithms · Computer Science 2009-05-12 Wenliang Du , David Eppstein , Michael T. Goodrich , George S. Lueker

Similarity-preserving hashing is a widely-used method for nearest neighbour search in large-scale image retrieval tasks. There has been considerable research on generating efficient image representation via the deep-network-based hashing…

Computer Vision and Pattern Recognition · Computer Science 2017-10-20 Hanjiang Lai , Yan Pan

Clustering is an unsupervised machine learning methodology where unlabeled elements/objects are grouped together aiming to the construction of well-established clusters that their elements are classified according to their similarity. The…

Machine Learning · Statistics 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou

The task of the binary classification problem is to determine which of two distributions has generated a length-$n$ test sequence. The two distributions are unknown; two training sequences of length $N$, one from each distribution, are…

Information Theory · Computer Science 2016-04-18 Dayu Huang , Sean Meyn

Large-scale cross-modal hashing similarity retrieval has attracted more and more attention in modern search applications such as search engines and autopilot, showing great superiority in computation and storage. However, current…

Computer Vision and Pattern Recognition · Computer Science 2020-01-01 Lu Wang , Jie Yang

Hashing has shown its efficiency and effectiveness in facilitating large-scale multimedia applications. Supervised knowledge e.g. semantic labels or pair-wise relationship) associated to data is capable of significantly improving the…

Computer Vision and Pattern Recognition · Computer Science 2016-06-17 Yang Yang , Weilun Chen , Yadan Luo , Fumin Shen , Jie Shao , Heng Tao Shen

Mining useful patterns from varied types of databases is an important research topic, which has many real-life applications. Most studies have considered the frequency as sole interestingness measure for identifying high quality patterns.…

Databases · Computer Science 2021-04-01 Wensheng Gan , Jerry Chun-Wei Lin , Philippe Fournier-Viger , Han-Chieh Chao , Philip S. Yu

Bloom Filter is a probabilistic data structure for the membership query, and it has been intensely experimented in various fields to reduce memory consumption and enhance a system's performance. Bloom Filter is classified into two key…

Data Structures and Algorithms · Computer Science 2021-06-09 Sabuzima Nayak , Ripon Patgiri

In binary classification, there are situations where negative (N) data are too diverse to be fully labeled and we often resort to positive-unlabeled (PU) learning in these scenarios. However, collecting a non-representative N set that…

Machine Learning · Computer Science 2019-07-16 Yu-Guan Hsieh , Gang Niu , Masashi Sugiyama

We present sparse tree-based and list-based density estimation methods for binary/categorical data. Our density estimation models are higher dimensional analogies to variable bin width histograms. In each leaf of the tree (or list), the…

Machine Learning · Statistics 2023-11-16 Siong Thye Goh , Lesia Semenova , Cynthia Rudin

Binary hashing is a well-known approach for fast approximate nearest-neighbor search in information retrieval. Much work has focused on affinity-based objective functions involving the hash functions or binary codes. These objective…

Machine Learning · Computer Science 2016-02-05 Miguel Á. Carreira-Perpiñán , Ramin Raziperchikolaei