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This paper presents in detail the generalized pignistic transformation (GPT) succinctly developed in the Dezert-Smarandache Theory (DSmT) framework as a tool for decision process. The GPT allows to provide a subjective probability measure…

Artificial Intelligence · Computer Science 2007-05-23 Jean Dezert , Florentin Smarandache , Milan Daniel

In this short paper, we give a complete and affirmative answer to a conjecture on matrix trace inequalities for the sum of positive semidefinite matrices. We also apply the obtained inequality to derive a kind of generalized Golden-Thompson…

Functional Analysis · Mathematics 2010-08-23 Shigeru Furuichi , Minghua Lin

While modern machine translation has relied on large parallel corpora, a recent line of work has managed to train Neural Machine Translation (NMT) systems from monolingual corpora only (Artetxe et al., 2018c; Lample et al., 2018). Despite…

Computation and Language · Computer Science 2021-12-28 Mikel Artetxe , Gorka Labaka , Eneko Agirre

While machine translation has traditionally relied on large amounts of parallel corpora, a recent research line has managed to train both Neural Machine Translation (NMT) and Statistical Machine Translation (SMT) systems using monolingual…

Computation and Language · Computer Science 2021-12-28 Mikel Artetxe , Gorka Labaka , Eneko Agirre

We introduce T5Gemma 2, the next generation of the T5Gemma family of lightweight open encoder-decoder models, featuring strong multilingual, multimodal and long-context capabilities. T5Gemma 2 follows the adaptation recipe (via UL2) in…

Hermite subdivision schemes act on vector valued data that is not only considered as functions values in $\mathbb{R}^r$, but as consecutive derivatives, which leads to a mild form of level dependence of the scheme. Previously, we have…

Numerical Analysis · Mathematics 2018-03-15 Jean-Louis Merrien , Tomas Sauer

The purpose of this report is in examining the generalization performance of Support Vector Machines (SVM) as a tool for pattern recognition and object classification. The work is motivated by the growing popularity of the method that is…

Machine Learning · Computer Science 2014-12-16 Eugene Borovikov

Use of inclusive MT2 distribution for sparticle mass determination is discussed. We define new parameters MT2(min) and MT2mod(min), which are a kind of minimum of sub-systerm MT2 values. Their endpoints are less affected by initial state…

High Energy Physics - Phenomenology · Physics 2011-01-20 Mihoko M. Nojiri , Kazuki Sakurai

Symmetry is a powerful tool for studying dynamics in QFT: it provides selection rules, constrains RG flows, and often simplifies analysis. Currently, our understanding is that the most general form of symmetry is described by categorical…

High Energy Physics - Theory · Physics 2024-11-06 T. Daniel Brennan , Zhengdi Sun

Simultaneous machine translation (SiMT) outputs translation while reading the source sentence. Unlike conventional sequence-to-sequence (seq2seq) training, existing SiMT methods adopt the prefix-to-prefix (prefix2prefix) training, where the…

Computation and Language · Computer Science 2024-05-29 Shoutao Guo , Shaolei Zhang , Yang Feng

Sentence embedding is a significant research topic in the field of natural language processing (NLP). Generating sentence embedding vectors reflecting the intrinsic meaning of a sentence is a key factor to achieve an enhanced performance in…

Computation and Language · Computer Science 2019-01-17 Myeongjun Jang , Pilsung Kang

Tabular data is the most commonly used form of data in industry. Gradient Boosting Trees, Support Vector Machine, Random Forest, and Logistic Regression are typically used for classification tasks on tabular data. DNN models using…

Computer Vision and Pattern Recognition · Computer Science 2019-06-05 Baohua Sun , Lin Yang , Wenhan Zhang , Michael Lin , Patrick Dong , Charles Young , Jason Dong

Tensor, a multi-dimensional data structure, has been exploited recently in the machine learning community. Traditional machine learning approaches are vector- or matrix-based, and cannot handle tensorial data directly. In this paper, we…

Machine Learning · Computer Science 2020-01-03 Cong Chen , Kim Batselier , Wenjian Yu , Ngai Wong

Recursive algebraic data types (term algebras, ADTs) are one of the most well-studied theories in logic, and find application in contexts including functional programming, modelling languages, proof assistants, and verification. At this…

Logic in Computer Science · Computer Science 2018-01-09 Hossein Hojjat , Philipp Rümmer

A great proportion of sequence-to-sequence (Seq2Seq) models for Neural Machine Translation (NMT) adopt Recurrent Neural Network (RNN) to generate translation word by word following a sequential order. As the studies of linguistics have…

Computation and Language · Computer Science 2018-06-14 Junyang Lin , Xu Sun , Xuancheng Ren , Shuming Ma , Jinsong Su , Qi Su

By use of the threshold expansion we develop an algorithm for analytical evaluation, within dimensional regularization, of arbitrary terms in the expansion of the (two-loop) sunset diagram with general masses m_1, m_2 and m_3 near its…

High Energy Physics - Phenomenology · Physics 2010-11-15 A. I. Davydychev , V. A. Smirnov

This paper introduces THUMT, an open-source toolkit for neural machine translation (NMT) developed by the Natural Language Processing Group at Tsinghua University. THUMT implements the standard attention-based encoder-decoder framework on…

Computation and Language · Computer Science 2017-06-21 Jiacheng Zhang , Yanzhuo Ding , Shiqi Shen , Yong Cheng , Maosong Sun , Huanbo Luan , Yang Liu

We consider the conversion problem for multimodal type theory (MTT) by characterizing the normal forms of the type theory and proving normalization. Normalization follows from a novel adaptation of Sterling's Synthetic Tait Computability…

Logic in Computer Science · Computer Science 2021-06-04 Daniel Gratzer

We consider type inference for guarded recursive data types (GRDTs) -- a recent generalization of algebraic data types. We reduce type inference for GRDTs to unification under a mixed prefix. Thus, we obtain efficient type inference.…

Programming Languages · Computer Science 2007-05-23 Peter J. Stuckey , Martin Sulzmann

This paper addresses the problem of checking invariant properties for a large class of symbolic transition systems, defined by a combination of SMT theories and quantifiers. State variables can be functions from an uninterpreted sort…

Logic in Computer Science · Computer Science 2024-03-01 Gianluca Redondi , Alessandro Cimatti , Alberto Griggio , Kenneth McMillan