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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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265177102 · Jun 202019922001200920172026
48 results for parallel translation

Introduces a natural parallel translation for navigation data.

problem Navigation data geometric representation and parallelism.
method Introduces a natural parallel translation using Riemannian parallelism.
result The natural parallel translation preserves the Randers norm and has a finite-dimensional holonomy group.

Study left invariant spray geometry on Lie groups using parallel translations.

problem Understanding parallel translations in left invariant spray geometry.
method Using invariant frames and differential equations on Lie algebra, study parallel translations and curvature.
result Alternative interpretations and proofs of homogeneous curvature formulae.

The paper explores KαK^α-translators on parallel and canal surfaces in 3D space.

problem Investigating conditions for KαK^α-translators on parallel and canal surfaces.
method Analyzing the conditions for KαK^α-translators on parallel surfaces and canal surfaces, proving their properties and existence.
result No KαK^α-translators exist on the parallel surface of a rotational surface obtained from a canal surface with the same speed ww, while the rotational surface itself is a KαK^α-translator.

Generalization and reliability of multilingual translation often highly depend on the amount of available parallel data for each language pair of interest. In this paper, we focus on zero-shot generalization---a challenging setup that tests models on translation directions they have not been optimized for at training t…

2019-04-04abs ↗pdf ↗

The process of translation is ambiguous, in that there are typically many valid trans- lations for a given sentence. This gives rise to significant variation in parallel cor- pora, however, most current models of machine translation do not account for this variation, instead treating the prob- lem as a deterministic pr…

2018-05-28abs ↗pdf ↗

Study on rigidity of translating hypersurfaces not in graphical direction.

problem Rigidity of translating hypersurfaces not in graphical direction.
method Proved rigidity results for complete graphical translating hypersurfaces under specific conditions.
result Entire graphical translating surfaces are flat under certain conditions.

In this article we prove two non-existence results for translating solitons of the mean curvature flow (translators for short) in Rm+1\mathbb{R}^{m+1}. We also obtain an upper bound to the maximum height that a compact embedded translator in R3\mathbb{R}^{3} can achieve. On the other hand, we study graphical perturbation…

2016-01-27abs ↗pdf ↗

This research explores the effects of various training settings on a Polish to English Statistical Machine Translation system for spoken language. Various elements of the TED, Europarl, and OPUS parallel text corpora were used as the basis for training of language models, for development, tuning and testing of the tran…

2015-09-30abs ↗pdf ↗

This paper concerns with the asymptotic behavior of complete non-compact convex curves embedded in R2\mathbb{R}^2 under the αα-curve shortening flow for exponents α>12α>\frac12. We show that any such curve having in addition its two ends asymptotic to two parallel lines, converges under αα-curve shortening flow to the …

2018-07-29abs ↗pdf ↗

We show that there is an infinite group of special automorphisms of the deformed group of diffeomorphisms, which describes parallel transports in Riemannian spaces of any variable curvature. Generators of translations of such group contain covariant derivatives, and structure functions - the curvature tensor.

2006-04-29abs ↗pdf ↗

Most machine translation systems generate text autoregressively from left to right. We, instead, use a masked language modeling objective to train a model to predict any subset of the target words, conditioned on both the input text and a partially masked target translation. This approach allows for efficient iterative…

2019-04-19abs ↗pdf ↗

Out-of-vocabulary word translation is a major problem for the translation of low-resource languages that suffer from a lack of parallel training data. This paper evaluates the contributions of target-language context models towards the translation of OOV words, specifically in those cases where OOV translations are der…

2018-01-26abs ↗pdf ↗

The study shows how to measure translation surfaces with short saddle connections.

problem Measuring the probability of surfaces with short saddle connections.
method Using the multi-scale compactification of strata and algebraicity results.
result Proves strong regularity for invariant measures on translation surfaces.

Study classifies translating solitons in Minkowski 3-space, revealing singularities.

problem Classifying translating solitons in Minkowski 3-space.
method Introduced the concept of translating solitons on a light-like direction, classified them into graphical and invariant families.
result All time-like examples are incomplete and some have singularities.

Using Traizet's regeneration method, we prove that for each positive integer n there is a family of embedded, doubly periodic minimal surfaces with parallel ends in Euclidean space of genus 2n-1 and 4 ends in the quotient by the maximal group of translations. The genus 2n-1 family converges smoothly to 2n copies of Sch…

2016-04-21abs ↗pdf ↗

This research investigates the Statistical Machine Translation approaches to translate speech in real time automatically. Such systems can be used in a pipeline with speech recognition and synthesis software in order to produce a real-time voice communication system between foreigners. We obtained three main data sets …

2015-09-30abs ↗pdf ↗

Grammatical Error Correction (GEC) has been recently modeled using the sequence-to-sequence framework. However, unlike sequence transduction problems such as machine translation, GEC suffers from the lack of plentiful parallel data. We describe two approaches for generating large parallel datasets for GEC using publicl…

2019-04-10abs ↗pdf ↗

This new research explores the effects of various training methods on a Polish to English Statistical Machine Translation system for medical texts. Various elements of the EMEA parallel text corpora from the OPUS project were used as the basis for training of phrase tables and language models and for development, tunin…

2015-09-29abs ↗pdf ↗

Paper proposes AXE loss for non-autoregressive machine translation, improving performance.

problem Challenges in training non-autoregressive models due to lack of autoregressive factors and cross entropy loss penalties.
method Proposes aligned cross entropy (AXE) loss function using a differentiable dynamic program for better word order alignment.
result AXE-based training improves performance on major WMT benchmarks and sets a new state of the art for non-autoregressive models.

Cross-lingual document alignment aims to identify pairs of documents in two distinct languages that are of comparable content or translations of each other. In this paper, we exploit the signals embedded in URLs to label web documents at scale with an average precision of 94.5% across different language pairs. We mine …

2019-11-10abs ↗pdf ↗

We prove the existence of a complete, embedded, singly periodic minimal surface, whose quotient by vertical translations has genus one and two ends. The existence of this surface was announced in our paper in {\it Bulletin of the AMS}, 29(1):77--84, 1993. Its ends in the quotient are asymptotic to one full turn of the …

1996-05-17abs ↗pdf ↗

GShard enables scaling of large neural networks with automatic sharding and lightweight APIs.

problem Scaling neural networks to handle vast training data and compute efficiently.
method GShard uses lightweight annotation APIs and XLA compiler extensions for parallel computation.
result GShard successfully trained a 600 billion parameter model on 2048 TPUs in 4 days.

A translating soliton is a hypersurface MM in Rn+1\mathbb{R}^{n+1} such that the family Mt=Mten+1M_t= M- t \,\mathbf{e}_{n+1} is a mean curvature flow, i.e., such that normal component of the velocity at each point is equal to the mean curvature at that point H=en+1.\mathbf{H}=\mathbf{e}_{n+1}^{\perp}. In this paper we obtain a cha…

2018-02-23abs ↗pdf ↗

To save manual effort, developers often translate programs from one programming language to another, instead of implementing it from scratch. Translating application program interfaces (APIs) used in one language to functionally equivalent ones available in another language is an important aspect of program translation…

2019-06-10abs ↗pdf ↗

Introduces challenges and techniques for creating machine translation for indigenous languages.

problem Limited data for machine translation of indigenous languages.
method Introduction to challenges, concepts, and techniques for creating MT systems.
result Discussion of recent advances and open questions in NLP for these languages.

We introduce a new sampling method for large language models that balances diversity and parallelism.

problem Balancing diversity and parallelism in decoding for large language models.
method Arithmetic sampling framework compatible with various sampling variations.
result Improves estimation of expected BLEU score reward and reduces the gap with beam search.

This work proposes an efficient autoregressive model for text generation.

problem The challenge of generating high-quality text with autoregressive models.
method Introduces a cascaded decoding approach using Markov transformers to achieve sub-linear parallel time generation.
result Shows competitive accuracy/speed tradeoff compared to existing methods on five machine translation datasets.

Uniqueness of circle packings on certain translation surfaces is proven.

problem Proving the uniqueness of circle packings on specific translation surfaces.
method Using splitting bigons to characterize variations of circle packings.
result For certain circle packings on H(1,1)H(1, 1) translation surfaces, there are only a finite number of ways the packing can vary without changing the contacts graph.