Relevant bibliographies by topics / Translation invariance

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Translation invariance'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Translation invariance"

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Mossop, Brian. "‘Intersemiotic translating’." Translation and Interpreting Studies 14, no. 1 (April 5, 2019): 75–94. http://dx.doi.org/10.1075/tis.00031.mos.

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Abstract Should transpositions between language and other sign systems be considered a kind of translation? The answer could be yes if the comparison is made to interlingual translating that features a high degree of variance. Here, however, the question will be whether there are any kinds of intersemiotic transposition that feature a high degree of invariance. Four criteria are suggested for defining invariance-oriented translation, and a variety of possible instances of invariant intersemiotic translation are considered, with special mention of transpositions to and from music.
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Cedzich, C., T. Geib, C. Stahl, L. Velázquez, A. H. Werner, and R. F. Werner. "Complete homotopy invariants for translation invariant symmetric quantum walks on a chain." Quantum 2 (September 24, 2018): 95. http://dx.doi.org/10.22331/q-2018-09-24-95.

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We provide a classification of translation invariant one-dimensional quantum walks with respect to continuous deformations preserving unitarity, locality, translation invariance, a gap condition, and some symmetry of the tenfold way. The classification largely matches the one recently obtained (arXiv:1611.04439) for a similar setting leaving out translation invariance. However, the translation invariant case has some finer distinctions, because some walks may be connected only by breaking translation invariance along the way, retaining only invariance by an even number of sites. Similarly, if walks are considered equivalent when they differ only by adding a trivial walk, i.e., one that allows no jumps between cells, then the classification collapses also to the general one. The indices of the general classification can be computed in practice only for walks closely related to some translation invariant ones. We prove a completed collection of simple formulas in terms of winding numbers of band structures covering all symmetry types. Furthermore, we determine the strength of the locality conditions, and show that the continuity of the band structure, which is a minimal requirement for topological classifications in terms of winding numbers to make sense, implies the compactness of the commutator of the walk with a half-space projection, a condition which was also the basis of the general theory. In order to apply the theory to the joining of large but finite bulk pieces, one needs to determine the asymptotic behaviour of a stationary Schrödinger equation. We show exponential behaviour, and give a practical method for computing the decay constants.
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Cadieu, Charles, Minjoon Kouh, Anitha Pasupathy, Charles E. Connor, Maximilian Riesenhuber, and Tomaso Poggio. "A Model of V4 Shape Selectivity and Invariance." Journal of Neurophysiology 98, no. 3 (September 2007): 1733–50. http://dx.doi.org/10.1152/jn.01265.2006.

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Object recognition in primates is mediated by the ventral visual pathway and is classically described as a feedforward hierarchy of increasingly sophisticated representations. Neurons in macaque monkey area V4, an intermediate stage along the ventral pathway, have been shown to exhibit selectivity to complex boundary conformation and invariance to spatial translation. How could such a representation be derived from the signals in lower visual areas such as V1? We show that a quantitative model of hierarchical processing, which is part of a larger model of object recognition in the ventral pathway, provides a plausible mechanism for the translation-invariant shape representation observed in area V4. Simulated model neurons successfully reproduce V4 selectivity and invariance through a nonlinear, translation-invariant combination of locally selective subunits, suggesting that a similar transformation may occur or culminate in area V4. Specifically, this mechanism models the selectivity of individual V4 neurons to boundary conformation stimuli, exhibits the same degree of translation invariance observed in V4, and produces observed V4 population responses to bars and non-Cartesian gratings. This work provides a quantitative model of the widely described shape selectivity and invariance properties of area V4 and points toward a possible canonical mechanism operating throughout the ventral pathway.
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Manuilov, V., and K. Thomsen. "Extensions of $C^*$-algebras and translation invariant asymptotic homomorphisms." MATHEMATICA SCANDINAVICA 100, no. 1 (March 1, 2007): 131. http://dx.doi.org/10.7146/math.scand.a-15018.

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Let $A$, $B$ be $C^*$-algebras; $A$ separable, $B$ $\sigma$-unital and stable. We introduce a notion of translation invariance for asymptotic homomorphisms from $SA=C_0(\mathsf{R})\otimes A$ to $B$ and show that the Connes-Higson construction applied to any extension of $A$ by $B$ is homotopic to a translation invariant asymptotic homomorphism. In the other direction we give a construction which produces extensions of $A$ by $B$ out of such a translation invariant asymptotic homomorphism. This leads to our main result; that the homotopy classes of extensions coincide with the homotopy classes of translation invariant asymptotic homomorphisms.
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Iordan, M. C., C. Baldassano, D. B. Walther, D. M. Beck, and L. Fei-Fei. "Translation Invariance of Natural Scene Categories." Journal of Vision 11, no. 11 (September 23, 2011): 816. http://dx.doi.org/10.1167/11.11.816.

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Mignemi, S. "Doubly special relativity and translation invariance." Physics Letters B 672, no. 2 (February 2009): 186–89. http://dx.doi.org/10.1016/j.physletb.2009.01.023.

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Iqbal Ali, Agha, and Lawrence M. Seiford. "Translation invariance in data envelopment analysis." Operations Research Letters 9, no. 6 (November 1990): 403–5. http://dx.doi.org/10.1016/0167-6377(90)90061-9.

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Paris, J. B., and A. Vencovská. "Translation Invariance and Miller’s Weather Example." Journal of Logic, Language and Information 28, no. 4 (May 13, 2019): 489–514. http://dx.doi.org/10.1007/s10849-019-09291-6.

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Cheoi, Kyung Joo, Hyeonyeong Choi, and Jaepil Ko. "Empirical Remarks on the Translational Equivariance of Convolutional Layers." Applied Sciences 10, no. 9 (May 1, 2020): 3161. http://dx.doi.org/10.3390/app10093161.

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In general, convolutional neural networks (CNNs) maintain some level of translational invariance. However, the convolutional layer itself is translational-equivariant. The pooling layers provide some level of invariance. In object recognition, invariance is more important than equivariance. In this paper, we investigate how vulnerable CNNs without pooling or augmentation are to translation in object recognition. For CNNs that are specialized in learning local textures but vulnerable to learning global geometric information, we propose a method to explicitly transform an image into a global feature image and then provide it as an input to neural networks. In our experiments on a modified MNIST dataset, we demonstrate that the recognition accuracy of a conventional baseline network significantly decreases from 98% to less than 60% even in the case of 2-pixel translation. We also demonstrate that the proposed method is far superior to the baseline network in terms of performance improvement.
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VYAS, VIBHA S., and PRITI P. REGE. "GEOMETRIC TRANSFORM INVARIANT TEXTURE ANALYSIS WITH MODIFIED CHEBYSHEV MOMENTS BASED ALGORITHM." International Journal of Image and Graphics 09, no. 04 (October 2009): 559–74. http://dx.doi.org/10.1142/s0219467809003587.

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Texture based Geometric invariance, which comprises of rotation scale and translation (RST) invariant is finding application in various areas including industrial inspection, estimation of object range and orientation, shape analysis, satellite imaging, and medical diagnosis. Moments based techniques, apart from being computationally simple as compared to other RST invariant texture operators, are also robust in presence of noise. Zernike moments (ZM) based techniques are one of the well-established methods used for texture identification. As ZM are continuous moments, when discretization is done for implementation, errors are introduced. Error, calculated as difference between theoretically computed values and simulated values is proved to be prominent for fine textures. Therefore, a novel approach to detect RST invariant textures present in image is presented in this paper. This approach calculates discrete Chebyshev moments (CM) of log-polar transformed images to achieve rotation and scale invariance. The image is made translation invariant by shifting it to its centroid. The data is collected as samples from Brodatz and Vistex data sets. Zernike moments and its modifications, along with proposed scheme are applied to the same and Performance evaluation apart from RST invariance is noise sensitivity and redundancy. The performance is also compared with circular Mellin Feature extractors.
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Dissertations / Theses on the topic "Translation invariance"

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Misieng, Jecky. "Translation, Adaptation and Invariance Testing of the Teaching Perspectives Inventory: Comparing Faculty of Malaysia and the United States." Scholar Commons, 2013. http://scholarcommons.usf.edu/etd/4921.

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As a result of growing attention in cross-cultural research, existing measurement instruments developed in one language are being translated and adapted for use in other languages and cultural contexts. The benefits of having the same instrument across cultures can only be realized if the process of translation and adaptation of the measurement instruments produces measurement operations that function similarly across national and cultural boundaries. Producing invariant measurement instruments that assess educational and psychological constructs provide a way of testing the cross-cultural generality of theories that include these constructs. The major purposes of the study were to translate and adapt the Teaching Perspectives Inventory (Pratt, 1992, 1990) from English to Bahasa Malaysia and compare the psychometric properties of the two versions. The TPI is an instrument developed by Pratt (1992) to ascertain the different conceptions that teachers in higher education have about teaching. The TPI has 45 items, which are divided into five subscales or perspectives referred to as Transmission, Apprenticeship, Developmental, Nurturing, and Social Reform. The first phase of this study translated and adapted the TPI from English into the Malay language of Malaysia or Bahasa Malaysia (BM) using multiple approaches as recommended by the International Test Commission. The approaches used to translate the TPI included forward and back translations, an expert panel review, a pilot study, and cognitive interviews. In the translation process, three initial translators, two back translators, and six expert panel members, including the researcher, came up with a pre-final version of the Malay TPI. During the translation process, two items were found to contain expressions that had no exact equivalent forms in Malay: "virtuoso performers" and "higher ideals." Overall, translating the TPI was a challenging task due to the relatively large number of items in the instrument (45) as well as the complexity and very abstract nature of the constructs. Many of the words and expressions that were brief and concise in the English version became longer and more verbose when translated in Malay. As a result, the translated TPI version appeared longer than the original version. Pilot testing with 25 native speakers of Malay who were faculty members from a number of public universities in Malaysia revealed nine items that needed modification. Cognitive interviewing with five participants from the pilot group revealed one item requiring a change by adding a borrowed word "novis" in brackets next to the Malay expressions, which refers to the original word novice. Due to the confusion with the words referring to `people' in many of the items, additional instructions were added at the beginning of the survey to ensure that the participants responded according to the original intention of the items, which focuses on learners in the faculty's specific classroom context instead of people in the society in general. Following changes to the TPI, this instrument was administered in phase two to a Malaysian sample of 561 faculty. In the second phase, the study assessed the psychometric properties of the original English version of the TPI with 605 faculty in the U. S. and the translated TPI version of the TPI with the Malaysian sample. The overall internal consistency reliability of both the English (α=.88) and the Malay TPI (α=.93) appeared to be adequate. At the subscale level, the internal consistency reliabilities of all the scales were on the lower side considering the large number of items (9) for each subscale (range = .67 to .83 for the U. S. and .59 to .81 for Malaysia). It was found that three out of the five subscales of the U. S. and Malay TPI had similar alpha reliabilities (Apprenticeship, Nurturing, Social Reform). To assess the cross-cultural factorial validity and measurement invariance of the TPI, confirmatory factor analysis (CFA) was carried out for both the original and the Malay TPI. The sample size for the U. S. group was 605 and the Malay group was 561. The fit for both the U. S. and the Malay correlated five-factor models was less than adequate with the Malay model showing a much worse fit. Correlated errors were found between 64 item pairs in the U. S. model and 389 item pairs in the Malay model. The correlations between the five perspectives in the Malay sample were much higher than those in the U. S. sample suggesting that the perspectives had limited discriminant validity. For example, the correlations between the Nurturing and Developmental perspectives and Nurturing and Social Reform perspectives were 1.0. The inadequate fit of the five-factor correlated model in the Malaysian sample and the minimally acceptable fit in the U. S. sample led to the decision to carry out analyses and compare the groups one subscale at a time. Model modifications for each subscale of both samples were carried out to improve the fit by adding one or more parameters (i.e., correlated errors) for each subscale model to obtain acceptable baseline models. The results of the invariance testing for each subscale did not support the existence of measurement invariance. Overall, the results indicate that the Malay version of the TPI is not ready for use and additional translation and adaptation work is recommended. Future efforts could incorporate improvements in the translation process in the form of recruiting a larger number of certified translators who have in-depth knowledge of teaching in higher education as well as a deep knowledge of the philosophy and purposes behind the TPI. Additional cognitive interviews before and after pretesting and pilot testing of the pre-final version are recommended. Finally, adding a large sample of bilingual educators who would complete both the Malay and English versions of the TPI would provide important psychometric data on the equivalence of the TPI items.
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Liu, Yan. "Rotation, scaling and translation invariant digital image watermarking." Thesis, University of Ottawa (Canada), 2004. http://hdl.handle.net/10393/26699.

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Many digital image watermarking schemes have been proposed and are robust to common signal processing, such as compression and filtering. Geometric distortions, such as rotation, scaling, and translation (RST), are considered the most challenging attacks. This thesis is on RST invariant digital image watermarking. In this thesis, we introduce the fundamental theories and techniques necessary for RST invariant digital image watermarking, and briefly review the existing RST invariant image watermarking schemes. Then, we propose an image rectification scheme for RST invariant digital image watermarking. Rotation and scaling transformations in the spatial domain result in cyclical shifts in the log-polar domain, which is the log-polar mapping (LPM) of the magnitude of the Fourier spectrum of the image. We utilize this property to detect the rotation and scaling parameters by using a matching template and our new phase-only filtering method in the LPM domain. We employ the same strategy in the spatial domain to detect the translation parameters. This rectification scheme can detect RST parameters very accurately. (Abstract shortened by UMI.)
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Lücking, Simon [Verfasser]. "The Daugavet Property and Translation-Invariant Subspaces / Simon Lücking." Berlin : Freie Universität Berlin, 2014. http://d-nb.info/1054163154/34.

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Stahl, Christoph [Verfasser]. "Translation invariant quantum walks with discrete symmetries / Christoph Stahl." Hannover : Gottfried Wilhelm Leibniz Universität, 2018. http://d-nb.info/1161096795/34.

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Woo, Myung Chul. "Biologically-inspired translation, scale, and rotation invariant object recognition models /." Online version of thesis, 2007. http://hdl.handle.net/1850/3933.

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Pavel, Dimovski. "Translation invariant Banach spaces of distributions and boundary values of integral transform." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2015. https://www.cris.uns.ac.rs/record.jsf?recordId=93767&source=NDLTD&language=en.

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We use common notation ∗ for distribution (Scshwartz), (Mp) (Beurling) i {Mp} (Roumieu) setting. We introduce and study new (ultra) distribution spaces, the test function spaces D∗E  and their strong duals D'∗E’*.These spaces generalize the spaces D∗Lq , D'∗Lp , B’* and their weighted versions. The construction of our new (ultra)distribution  spaces is based on the analysis of a suitable translation-invariant Banach space of (ultra)distribution E with continuous translation group, which turns out to be a convolution module over the Beurling algebra L1ω, where the weight  ω is related to the translation operators on E. The Banach space E’∗ stands for L1ωˇ ∗ E’. We apply our results to the study of the convolution of ultradistributions. The spaces of convolutors O’∗C (Rn) for tempered ultradistributions are analyzed via the duality with respect to the test functionspaces O∗C (Rn), introduced in this thesis. Using the properties of translationinvariantBanach space of ultradistributions E we obtain a full characterization ofthe general convolution of Roumieu ultradistributions via the space of integrableultradistributions is obtained. We show: The convolution of two Roumieu ultradistributions T, S ∈ D’{Mp} (Rn)  exists if and only if (φ ∗ Š) T ∈ D’{Mp}L1(Rn)  for every φ ∈ D {Mp} (Rn). We study boundary values of holomorphic functions defined in tube domains. New edge of the wedge theorems are obtained. The resultsare then applied to represent D’E’*  as a quotient space of holomorphic functions.We also give representations of elements of D’E’*  via the heat kernel method.
Koristimo oznaku ∗ za distribuciono (Svarcovo), (Mp) (Berlingovo) i {Mp} (Roumieuovo) okruženje. Uvodimo i prouavamo nove (ultra)distribucione prostore,  test funkcijske prostore D∗E i njihove duale D'∗E'*.  Ovi prostori uopštavaju prostore D∗Lq , D'∗Lp , B'∗ i njihove težinske verzije. Konstrukcija naših novih (ultra)distribucionih prostora je zasnovana na analizi odgovarajuićh translaciono - invarijantnih Banahovih prostora (ultra)distribucija koje označavamo sa E. Ovi prostori imaju neprekidnu grupu translacija, koja je konvolucioni modul nad  Beurlingovom algebrom L1ω, gde je težina ω povezana sa operatorima translacije prostora E. Banahov prostor E'∗ označava prostor L1ω˅ ∗ E'. Koristeći dobijene rezultata proučavamo konvoluciju ultradistribucija. Prostori konvolutora  O'∗C (Rn) temperiranih ultradistribucija, analizirani su pomoću dualnosti test funkcijskih prostora O∗C (Rn), definisanih u ovoj tezi. Koristeći svojstva translaciono - invarijantnih Banahovih prostora temperiranih ultradistribucija, opet označenih sa E, dobijamo karakterizaciju konvolucije Romuieu-ovih  ultradistribucija, preko integrabilnih ultradistribucija. Dokazujemo da: konvolucija dve Roumieu-ove ultradistribucija T, S ∈ D'{Mp} (Rn) postoji ako i samo ako (φ ∗ Sˇ)T ∈ D'{Mp} L1 (Rn) za svaki φ ∈ D{Mp}(Rn). Takođe, proučavamo granične vrednosti holomorfnih funkcija definisanih na tubama. Dokazane su nove teoreme ”otrog klina”. Rezultati se zatim koriste za prezentaciju D'E'∗ preko faktor prostora holomorfnih funkcija. Takođe, data je prezentacija elemente D'E'∗ koristeći heat kernel metode.
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Erturk, Alp. "Rotation, Scale And Translation Invariant Automatic Target Recognition Using Template Matching For Satellite Imagery." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/3/12611434/index.pdf.

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In this thesis, rotation, scale and translation (RST) invariant automatic target recognition (ATR) for satellite imagery is presented. Template matching is used to realize the target recognition. However, unlike most of the studies of template matching in the literature, RST invariance is required in our problem, since most of the time we will have only a small number of templates of each target, while the targets to be recognized in the scenes will have various orientations, scaling and translations. RST invariance is studied in detail and implemented with some of the competing methods in the literature, such as Fourier-Mellin transform and bipectrum combined with log-polar mapping. Phase correlation and normalized cross-correlation are used as similarity metrics. Encountered drawbacks were overcome with additional operations and modifications of the algorithms. ATR using reconstruction of the target image with respect to the template, based on bispectrum, log-polar mapping and phase correlation outperformed the other methods and successful recognition was realized for various target types, especially for targets on relatively simpler backgrounds, i.e. containing little or no other objects.
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Merkert, Dennis [Verfasser], and Bernd [Akademischer Betreuer] Simeon. "Numerical Homogenization for Linear Elasticity in Translation Invariant Spaces / Dennis Merkert ; Betreuer: Bernd Simeon." Kaiserslautern : Technische Universität Kaiserslautern, 2018. http://d-nb.info/1163274607/34.

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Pratt, John Graham le Maistre. "Application of the Fourier-Mellin transform to translation-, rotation- and scale-invariant plant leaf identification." Thesis, McGill University, 2000. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=33440.

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The Fourier-Mellin transform was implemented on a digital computer and applied towards the recognition and differentiation of images of plant leaves regardless of translation, rotation or scale. Translated, rotated and scaled leaf images from seven species of plants were compared: avocado ( Persea americana), trembling aspen (Populus tremuloides), lamb's-quarter (Chenopodium album), linden (Tilla americana), silver maple (Acer saccharinum), plantain (Plantago major) and sumac leaflets (Rhus typhina ). The rate of recognition was high among translated and rotated leaf images for all plant species. The rates of recognition and differentiation were poor, however, among scaled leaf images and between leaves of different species. Improvements to increase the effectiveness of the algorithm are suggested.
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Belk, Michaël. "Stabilité structurelle de solutions invariantes par translation : application à des problèmes de réaction-diffusion avec convection." Lyon 1, 2003. http://www.theses.fr/2003LYO10260.

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La thèse est consacrée à la stabilité structurelle de solutions d'équations différentielles invariantes par translation. On s'interesse en particulier aux ondes de réaction-diffusion et aux solutions homocliniques de systèmes différentiels ordinaires. La théorie des opérateurs de Fredholm est utilisée pour prouver l'existence d'ondes de réaction-diffusion avec convection, lesquelles sont aussi étudiées numériquement et comparées à des expérience sur la photopolymérisation avec convection. Dans le problème d'explosion thermique avec convection, la dynamique complexe liée aux bifurcations successives et l'explosion thermique oscillante sont étudiées numériquement. Pour ce problème, on propose un modèle simplifié que l'on utilise pour étudier les bifurcations des solutions périodiques à partir des orbites homocliniques.
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Books on the topic "Translation invariance"

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MacDonald, Gordon Wilson. Invariant subspaces for weighted translation operators. Toronto: [s.n.], 1989.

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Zuschlag, Katrin. Narrativik und literarisches Übersetzen: Erzähltechnische Merkmale als Invariante der Übersetzung. Tübingen: G. Narr, 2002.

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Deruelle, Nathalie, and Jean-Philippe Uzan. Matter in curved spacetime. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0043.

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This chapter is concerned with the laws of motion of matter—particles, fluids, or fields—in the presence of an external gravitational field. In accordance with the equivalence principle, this motion will be ‘free’. That is, it is constrained only by the geometry of the spacetime whose curvature represents the gravitation. The concepts of energy, momentum, and angular momentum follow from the invariance of the solutions of the equations of motion under spatio-temporal translations or rotations. The chapter shows how the action is transformed, no longer under a modification of the field configuration, but instead under a displacement or, in the ‘passive’ version, under a translation of the coordinate grid in the opposite direction.
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Rajeev, S. G. Euler’s Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0002.

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Euler derived the fundamental equations of an ideal fluid, that is, in the absence of friction (viscosity). They describe the conservation of momentum. We can derive from it the equation for the evolution of vorticity (Helmholtz equation). Euler’s equations have to be supplemented by the conservation of mass and by an equation of state (which relates density to pressure). Of special interest is the case of incompressible flow; when the fluid velocity is small compared to the speed of sound, the density may be treated as a constant. In this limit, Euler’s equations have scale invariance in addition to rotation and translation invariance. d’Alembert’s paradox points out the limitation of Euler’s equation: friction cannot be ignored near the boundary, nomatter how small the viscosity.
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Translation and Rotation Invariant Multiscale Image Registration. Storming Media, 2002.

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Scalarization and Separation by Translation Invariant Functions. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44723-6.

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Street, Brian. The Calder´on-Zygmund Theory I: Ellipticity. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691162515.003.0001.

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This chapter discusses a case for single-parameter singular integral operators, where ρ‎ is the usual distance on ℝn. There, we obtain the most classical theory of singular integrals, which is useful for studying elliptic partial differential operators. The chapter defines singular integral operators in three equivalent ways. This trichotomy can be seen three times, in increasing generality: Theorems 1.1.23, 1.1.26, and 1.2.10. This trichotomy is developed even when the operators are not translation invariant (many authors discuss such ideas only for translation invariant, or nearly translation invariant operators). It also presents these ideas in a slightly different way than is usual, which helps to motivate later results and definitions.
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Krawczyk, J. The translation invariant uniform approximation property for compact groups. Wroclaw, 1987.

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M, De champs, Piquard F, and Queffelec H, eds. Analyse harmonique groupe de travail sur les espaces de Banach invariants par translation. Orsay, France: Universite de Paris-Sud De partement de Mathe matique, 1987.

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Mercati, Flavio. Best Matching: Technical Details. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198789475.003.0005.

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The best matching procedure described in Chapter 4 is equivalent to the introduction of a principal fibre bundle in configuration space. Essentially one introduces a one-dimensional gauge connection on the time axis, which is a representation of the Euclidean group of rotations and translations (or, possibly, the similarity group which includes dilatations). To accommodate temporal relationalism, the variational principle needs to be invariant under reparametrizations. The simplest way to realize this in point–particle mechanics is to use Jacobi’s reformulation of Mapertuis’ principle. The chapter concludes with the relational reformulation of the Newtonian N-body problem (and its scale-invariant variant).
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Book chapters on the topic "Translation invariance"

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Schultz, Patrick, and David I. Spivak. "Translation Invariance." In Progress in Computer Science and Applied Logic, 39–45. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-00704-1_3.

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Myburgh, Johannes C., Coenraad Mouton, and Marelie H. Davel. "Tracking Translation Invariance in CNNs." In Artificial Intelligence Research, 282–95. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-66151-9_18.

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Crespo, José. "Space Connectivity and Translation-Invariance." In Mathematical Morphology and its Applications to Image and Signal Processing, 119–26. Boston, MA: Springer US, 1996. http://dx.doi.org/10.1007/978-1-4613-0469-2_14.

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Pastor, Jesus T., and Juan Aparicio. "Translation Invariance in Data Envelopment Analysis." In International Series in Operations Research & Management Science, 245–68. Boston, MA: Springer US, 2015. http://dx.doi.org/10.1007/978-1-4899-7553-9_8.

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Mouton, Coenraad, Johannes C. Myburgh, and Marelie H. Davel. "Stride and Translation Invariance in CNNs." In Artificial Intelligence Research, 267–81. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-66151-9_17.

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Haken, Hermann. "Simultaneous Invariance with Respect to Translation, Rotation and Scaling." In Springer Series in Synergetics, 60–83. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-10182-7_8.

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Haken, Hermann. "Simultaneous Invariance with Respect to Translation, Rotation and Scaling." In Springer Series in Synergetics, 60–80. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-22450-2_8.

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Salinas, Emilio, and L. F. Abbott. "Attentional Gain Modulation as a Basis for Translation Invariance." In Computational Neuroscience, 807–12. Boston, MA: Springer US, 1997. http://dx.doi.org/10.1007/978-1-4757-9800-5_125.

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Zhu, Junmei, Urs Bergmann, and Christoph von der Malsburg. "Self-Organization of Steerable Topographic Mappings as Basis for Translation Invariance." In Artificial Neural Networks – ICANN 2010, 414–19. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15822-3_50.

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Wackernagel, Hans. "Translation Invariant Drift." In Multivariate Geostatistics, 308–15. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-662-05294-5_39.

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Conference papers on the topic "Translation invariance"

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Hogan, J. A., and J. D. Lakey. "Non-Translation-Invariance in Principal Shift-Invariant Spaces." In Proceedings of the 4th International ISAAC Congress. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701732_0043.

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Ban, Adrian, and Lucian Coroianu. "Translation invariance and scale invariance of approximations of fuzzy numbers." In 7th conference of the European Society for Fuzzy Logic and Technology. Paris, France: Atlantis Press, 2011. http://dx.doi.org/10.2991/eusflat.2011.62.

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MIGNEMI, S. "DOUBLY SPECIAL RELATIVITY AND TRANSLATION INVARIANCE." In Proceedings of the MG12 Meeting on General Relativity. WORLD SCIENTIFIC, 2012. http://dx.doi.org/10.1142/9789814374552_0500.

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Gupta, Shashij. "Machine translation testing via pathological invariance." In ICSE '20: 42nd International Conference on Software Engineering. New York, NY, USA: ACM, 2020. http://dx.doi.org/10.1145/3377812.3382162.

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Gupta, Shashij, Pinjia He, Clara Meister, and Zhendong Su. "Machine translation testing via pathological invariance." In ESEC/FSE '20: 28th ACM Joint European Software Engineering Conference and Symposium on the Foundations of Software Engineering. New York, NY, USA: ACM, 2020. http://dx.doi.org/10.1145/3368089.3409756.

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Jiang, Ruoqiao, and Shaohui Mei. "Polar Coordinate Convolutional Neural Network: From Rotation-Invariance to Translation-Invariance." In 2019 IEEE International Conference on Image Processing (ICIP). IEEE, 2019. http://dx.doi.org/10.1109/icip.2019.8802940.

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Rao, A. Ravishankar, Guillermo A. Cecchi, Charles C. Peck, and James R. Kozloski. "Translation invariance in a network of oscillatory units." In Electronic Imaging 2006, edited by Edward R. Dougherty, Jaakko T. Astola, Karen O. Egiazarian, Nasser M. Nasrabadi, and Syed A. Rizvi. SPIE, 2006. http://dx.doi.org/10.1117/12.648229.

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David Angeli. "A note on Monotone Systems with Positive Translation Invariance." In 2006 14th Mediterranean Conference on Control and Automation. IEEE, 2006. http://dx.doi.org/10.1109/med.2006.236127.

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Angeli, David, and Eduardo D. Sontag. "A note on Monotone Systems with Positive Translation Invariance." In 2006 14th Mediterranean Conference on Control and Automation. IEEE, 2006. http://dx.doi.org/10.1109/med.2006.328782.

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Zhang, Zhong, Hiroshi Toda, Tetsuo Miyake, and Takashi Imamura. "Improving Translation Invariance by Complex Wavelet using Phase Information." In 2006 SICE-ICASE International Joint Conference. IEEE, 2006. http://dx.doi.org/10.1109/sice.2006.314922.

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Reports on the topic "Translation invariance"

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Cohen, Scott, and Leonidas Guibas. The Earth Mover's Distance: Lower Bounds and Invariance Under Translation. Fort Belvoir, VA: Defense Technical Information Center, October 1997. http://dx.doi.org/10.21236/ada358270.

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Vincent, Charles, Rolf Färe, and Shawna Grosskopf. A translation invariant pure DEA model. CENTRUM Catolica Graduate Business School, September 2015. http://dx.doi.org/10.7835/ccwp-2015-09-0016.

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