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Handwritten Digit Classification using Higher Order Singular Value Decomposition
"... In this paper we present two algorithms for handwritten digit classification based on the higher order singular value decomposition (HOSVD). The first algorithm uses HOSVD for construction of the class models and achieves classification results with error rate lower than 6%. The second algorithm use ..."
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Cited by 21 (1 self)
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In this paper we present two algorithms for handwritten digit classification based on the higher order singular value decomposition (HOSVD). The first algorithm uses HOSVD for construction of the class models and achieves classification results with error rate lower than 6%. The second algorithm uses the HOSVD for tensor approximation simultaneously in two modes. Classification results for the second algorithm are almost down at 5 % even though the approximation reduces the original training data with more than 98 % before the construction of the class models. The actual classification in the test phase for both algorithms is conducted by solving a series least squares problems. Considering computational amount for the test presented the second algorithm is twice as efficient as the first one.
D.: Mathbrush: a system for doing math on penbased devices
 In: The Eighth IAPR Workshop on Document Analysis Systems (DAS
, 2008
"... Many online (interactive) mathematics recognition systems allow the creation of typeset equations, normally in LaTeX, but they do not support mathematical problem solving. In this paper, we present MathBrush, a system that allows users to draw math input using a peninput device on a tablet compute ..."
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Cited by 13 (4 self)
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Many online (interactive) mathematics recognition systems allow the creation of typeset equations, normally in LaTeX, but they do not support mathematical problem solving. In this paper, we present MathBrush, a system that allows users to draw math input using a peninput device on a tablet computer, recognizes the math expression, and then supports mathematical transformation and problem solving using backend Computer Algebra Systems (CAS). We describe the architecture of the MathBrush system, which includes modules that support symbol recognition, semantic analysis, the transfer of recognized expressions to backend CAS, and interface techniques for interacting with CAS output. We also identify unique challenges associated with recognition for math problem solving, such as the need for deeper semantic analysis than is required by LATEX, and the need to deal with ambiguities in user input. Our experiences serve to inform researchers seeking to design interactive mathematics recognition systems geared toward mathematical problem solving. 1.
An interactive mathematical handwriting recognizer for the Pocket PC
, 2002
"... Handwriting is the primary input method for handheld computers because they are too small physically to have keyboards. To investigate the requirements for upcoming computer algebra systems on handheld computers, we designed and implemented an application for recognizing online handwritten mathema ..."
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Cited by 11 (3 self)
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Handwriting is the primary input method for handheld computers because they are too small physically to have keyboards. To investigate the requirements for upcoming computer algebra systems on handheld computers, we designed and implemented an application for recognizing online handwritten mathematical expressions on the pocket PC. The objective was to translate handwriting mathematical expressions into corresponding presentation MathML, which can be understood by computer algebra systems. This application consists of three components: 1) a handwriting recognizer for recognizing individual mathematical symbols, 2) a structural analyzer for interpreting and maintaining the relationship between symbols of the expression, and 3) a generator for generating MathML code. Currently it is able to recognize simple expressions including polynomial equations, fractions, trigonometric functions, allowing nested structures. This application could serve as a bridge for mathematical users to interact with the computer algebra systems on handheld computers.
Adaptive Online Recognition of Handwriting
, 1998
"... Contents 1 Background 4 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 Types of handwriting recognition systems . . . . . . . . . . . . . . . . 5 1.2.1 Ooeline recognition . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2.2 Online recognition . . . . . ..."
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Cited by 9 (6 self)
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Contents 1 Background 4 1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2 Types of handwriting recognition systems . . . . . . . . . . . . . . . . 5 1.2.1 Ooeline recognition . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2.2 Online recognition . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2.3 Character sets . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2.4 Writing style variations . . . . . . . . . . . . . . . . . . . . . . 7 1.2.4.1 Variations of characters . . . . . . . . . . . . . . . . 7 1.2.4.2 Alignment of characters . . . . . . . . . . . . . . . . 8 1.2.4.3 Personal background factors . . . . . . . . . . . . . . 8 1.2.4.4 Situational factors . . . . . . . . . . . . . . . . . . . 9 1.2.4.5 Material factors . . . . . . . . . . . . . . . . . . . . . 9 1.2.4.6 Constraints on writing . . . . . . . . . . . . . . . . . 9 1.2.5 Context . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.3 Beneøt
D.: A preliminary report on the MathBrush penmath system
 In: Maple 2006 Conference
, 2006
"... In this paper we give a preliminary description of an experimental system, currently named MathBrush, for working with mathematics using penbased devices. The system allows a user to enter mathematical expressions with a pen and to then do mathematical computation using a computer algebra system. T ..."
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In this paper we give a preliminary description of an experimental system, currently named MathBrush, for working with mathematics using penbased devices. The system allows a user to enter mathematical expressions with a pen and to then do mathematical computation using a computer algebra system. The system provides a simple and easy way for users to verify the correctness of their handwritten expressions and, if needed, to correct any errors in recognition. Choosing mathematical operations is done making use of context menus, both with input and output expressions.
MathBrush: An Experimental PenBased Math System
"... It is widely believed that mathematics will be one of the major applications for Tablet PCs and other penbased devices. In this paper we discuss many of the issues that make doing mathematics on such penbased devices a hard task. We give a preliminary description of an experimental system, current ..."
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Cited by 4 (0 self)
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It is widely believed that mathematics will be one of the major applications for Tablet PCs and other penbased devices. In this paper we discuss many of the issues that make doing mathematics on such penbased devices a hard task. We give a preliminary description of an experimental system, currently named MathBrush, for working with mathematics using penbased devices. The system allows a user to enter mathematical expressions with a pen and to then do mathematical computation using a computer algebra system. The system provides a simple and easy way for users to verify the correctness of their handwritten expressions and, if needed, to correct any errors in recognition. Choosing mathematical operations is done making use of context menus, both with input and output expressions. Key words: PCtablets, Penbased math, Computer Algebra systems 1
Call for Papers General Information Registration Accommodations Travel Tutorials Presentations Schedule An Interactive Mathematical Handwriting Recognizer for the Pocket PC Abstract
"... Handwriting is a highly desirable method to input mathematics for computer applications, including penbased electronic devices such as tablet PCs and PDAs. This paper proposes a method for mathematical handwriting recognition suitable for environments with strong resource limitations, such as PDAs, ..."
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Handwriting is a highly desirable method to input mathematics for computer applications, including penbased electronic devices such as tablet PCs and PDAs. This paper proposes a method for mathematical handwriting recognition suitable for environments with strong resource limitations, such as PDAs, where the usual approaches to recognizing handwritten math are not feasible. We describe an experimental online mathematical recognizer for a specific PDA, the pocket PC. This recognizer handles handwritten mathematical expressions dynamically and generates the corresponding presentation MathML as output. Our implementation consists of a recognizer for individual handwritten mathematical symbols, a structural analyzer for recognizing the relationship between recognized symbols of an expression, and a procedure for generating corresponding presentation MathML code.
Sketch Understanding for Engineering Software
, 2003
"... this document.) Data points are collected as a time sequenced (x,y) points sampled along the stylus' trajectory. The program gathers these points and attempts to fit one of the two types of geometric primitives: (1) A straight line segment, or (2) An arc segment of a circle. We refer to this p ..."
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this document.) Data points are collected as a time sequenced (x,y) points sampled along the stylus' trajectory. The program gathers these points and attempts to fit one of the two types of geometric primitives: (1) A straight line segment, or (2) An arc segment of a circle. We refer to this process as `segmentation '. Figure 5 shows an example. The figure on the left corresponds to the unprocessed ink as obtained directly from the digitizing tablet. The figure on the right shows the resulting symbol after segmentation
ACTA POLYTECHNICA SCANDINAVICA MATHEMATICS AND COMPUTING SERIES No. 119
"... Adaptive methods for online recognition of isolated handwritten characters ..."
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Adaptive methods for online recognition of isolated handwritten characters
unknown title
, 2005
"... Handwritten digit classification using higher order singular value decomposition ..."
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Handwritten digit classification using higher order singular value decomposition