Transposition invariant pattern matching for multi-track strings

Peer reviewe

A hybrid algorithm for the longest common transposition-invariant subsequence problem

The longest common transposition-invariant subsequence (LCTS) problem is a music information retrieval oriented variation of the classic LCS problem. There are basically only two known efficient approaches to calculate the length of the LCTS, one based on sparse dynamic programming and the other on bit-parallelism. In this work, we propose a hybrid algorithm picking the better of the two algorithms for individual subproblems. Experiments on music (MIDI), with 32-bit and 64-bit implementations, show that the proposed algorithm outperforms the faster of the two component algorithms by a factor of 1.4–2.0, depending on sequence lengths. Similar, if not better, improvements can be observed for random data with Gaussian distribution. Also for uniformly random data, the hybrid algorithm is the winner if the alphabet is neither too small (at least 32 symbols) nor too large (up to 128 symbols). Part of the success of our scheme is attributed to a quite robust component selection heuristic

New algorithms for exact and approximate text matching

Praca przedstawia główne wyniki z tematyki algorytmów tekstowych otrzymane w Katedrze Informatyki Stosowanej w latach 2004-2009. Algorytmy te dotyczą wybranych rozmaitych problemów wyszukiwania dokładnego i przybliżonego, również w intensywnie w ostatnich latach badanym scenariuszu z wykorzystaniem kompresji.This work presents main results in the domain of text algorithms obtained in Computer Engineering Dept. in the years 2004-2009. The algorithms concern various exact and approximate string matching problems, also in the recently actively developed scenario involving compression

GASP : Geometric Association with Surface Patches

A fundamental challenge to sensory processing tasks in perception and robotics is the problem of obtaining data associations across views. We present a robust solution for ascertaining potentially dense surface patch (superpixel) associations, requiring just range information. Our approach involves decomposition of a view into regularized surface patches. We represent them as sequences expressing geometry invariantly over their superpixel neighborhoods, as uniquely consistent partial orderings. We match these representations through an optimal sequence comparison metric based on the Damerau-Levenshtein distance - enabling robust association with quadratic complexity (in contrast to hitherto employed joint matching formulations which are NP-complete). The approach is able to perform under wide baselines, heavy rotations, partial overlaps, significant occlusions and sensor noise. The technique does not require any priors -- motion or otherwise, and does not make restrictive assumptions on scene structure and sensor movement. It does not require appearance -- is hence more widely applicable than appearance reliant methods, and invulnerable to related ambiguities such as textureless or aliased content. We present promising qualitative and quantitative results under diverse settings, along with comparatives with popular approaches based on range as well as RGB-D data.Comment: International Conference on 3D Vision, 201

Geometric algorithms for transposition invariant content-based music retrieval

We are grateful to Mika Turkia for the implementations.Peer reviewe

A Similarity Matrix for Irish Traditional Dance Music

It is estimated that there are between seven and ten thousand Irish traditional dance tunes in existence. As Irish musicians travelled the world they carried their repertoire in their memories and rarely recorded these pieces in writing. When the music was passed down from generation to generation by ear the names of these pieces of music and the melodies themselves were forgotten or changed over time. This has led to problems for musicians and archivists when identifying the names of traditional Irish tunes. Almost all of this music is now available in ABC notation from online collections. An ABC file is a text file containing a transcription of one or more melodies, the tune title, musical key, time signature and other relevant details. The principal aim of this project is to define a process by which Irish music can be compared using string distance algorithms. An online survey will then be conducted to assess if human participants agree with the computer comparisons. Improvements will then be made to the string distance algorithms by considering music theory. Two other methods of assessing musical similarity, Breandán Breathnach‟s Melodic Indexing System and Parsons Code will be computerised and integrated into a Combined Ranking System (CRS). An hypothesis will be formed based on the results and experiences of creating this system. This hypothesis will be tested on humans and if successful, used to achieve the final aim of the project, to construct a similarity matrix

Matemaattisen morfologian käyttö geometrisessa musiikinhaussa

The usual task in music information retrieval (MIR) is to find occurrences of a monophonic query pattern within a music database, which can contain both monophonic and polyphonic content. The so-called query-by-humming systems are a famous instance of content-based MIR. In such a system, the user's hummed query is converted into symbolic form to perform search operations in a similarly encoded database. The symbolic representation (e.g., textual, MIDI or vector data) is typically a quantized and simplified version of the sampled audio data, yielding to faster search algorithms and space requirements that can be met in real-life situations. In this thesis, we investigate geometric approaches to MIR. We first study some musicological properties often needed in MIR algorithms, and then give a literature review on traditional (e.g., string-matching-based) MIR algorithms and novel techniques based on geometry. We also introduce some concepts from digital image processing, namely the mathematical morphology, which we will use to develop and implement four algorithms for geometric music retrieval. The symbolic representation in the case of our algorithms is a binary 2-D image. We use various morphological pre- and post-processing operations on the query and the database images to perform template matching / pattern recognition for the images. The algorithms are basically extensions to classic image correlation and hit-or-miss transformation techniques used widely in template matching applications. They aim to be a future extension to the retrieval engine of C-BRAHMS, which is a research project of the Department of Computer Science at University of Helsinki