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An essential goal in mechanistic interpretability to decode a network, i.e., to convert a neural network's raw weights to an interpretable algorithm. Given the difficulty of the decoding problem, progress has been made to understand the…

Machine Learning · Computer Science 2023-12-07 Isaac Liao , Ziming Liu , Max Tegmark

Partial transpose is an important operation for quantifying the entanglement, here we study the (partial) transpose of any single (two-mode) operators. Using the Fock-basis expansion, it is found that the transposed operator of an arbitrary…

Quantum Physics · Physics 2021-07-07 Liyun Hu , Luping Zhang , Xiaoting Chen , Wei Ye , Qin Guo , Hongyi Fan

We propose to use Church encodings in typed lambda-calculi as the basis for an automata-theoretic counterpart of implicit computational complexity, in the same way that monadic second-order logic provides a counterpart to descriptive…

Logic in Computer Science · Computer Science 2019-07-02 Lê Thành Dũng Nguyên

Despite their central role in the success of foundational models and large-scale language modeling, the theoretical foundations governing the operation of Transformers remain only partially understood. Contemporary research has largely…

Machine Learning · Computer Science 2025-06-02 Sagar Ghosh , Kushal Bose , Swagatam Das

In reactive synthesis, the goal is to automatically generate an implementation from a specification of the reactive and non-terminating input/output behaviours of a system. Specifications are usually modelled as logical formulae or automata…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Léo Exibard , Emmanuel Filiot , Pierre-Alain Reynier

In this paper we present a Transformer-Transducer model architecture and a training technique to unify streaming and non-streaming speech recognition models into one model. The model is composed of a stack of transformer layers for audio…

Sound · Computer Science 2020-10-08 Anshuman Tripathi , Jaeyoung Kim , Qian Zhang , Han Lu , Hasim Sak

Abduction is a fundamental and important form of non-monotonic reasoning. Given a knowledge base explaining how the world behaves it aims at finding an explanation for some observed manifestation. In this paper we focus on propositional…

Computational Complexity · Computer Science 2010-06-29 Nadia Creignou , Johannes Schmidt , Michael Thomas

We introduce Trans-gram, a simple and computationally-efficient method to simultaneously learn and align wordembeddings for a variety of languages, using only monolingual data and a smaller set of sentence-aligned data. We use our new…

Computation and Language · Computer Science 2016-01-12 Jocelyn Coulmance , Jean-Marc Marty , Guillaume Wenzek , Amine Benhalloum

World models have been recently proposed as sandbox environments in which AI agents can be trained and evaluated before deployment. While realistic world models often have high computational demands, this can often be alleviated by…

Artificial Intelligence · Computer Science 2026-05-22 Alexander Boyd , Franz Nowak , David Hyland , Manuel Baltieri , Fernando E. Rosas

Transformer components such as non-linear activations and normalization are inherently non-injective, suggesting that different inputs could map to the same output and prevent exact recovery of the input from a model's representations. In…

In this paper, we study the problem of text line recognition. Unlike most approaches targeting specific domains such as scene-text or handwritten documents, we investigate the general problem of developing a universal architecture that can…

Computer Vision and Pattern Recognition · Computer Science 2021-04-23 Daniel Hernandez Diaz , Siyang Qin , Reeve Ingle , Yasuhisa Fujii , Alessandro Bissacco

The Transformer architecture is widely used in natural language processing. Despite its success, the design principle of the Transformer remains elusive. In this paper, we provide a novel perspective towards understanding the architecture:…

Machine Learning · Computer Science 2019-06-10 Yiping Lu , Zhuohan Li , Di He , Zhiqing Sun , Bin Dong , Tao Qin , Liwei Wang , Tie-Yan Liu

Disfluency detection has mainly been solved in a pipeline approach, as post-processing of speech recognition. In this study, we propose Transformer-based encoder-decoder models that jointly solve speech recognition and disfluency detection,…

Computation and Language · Computer Science 2023-05-12 Hayato Futami , Emiru Tsunoo , Kentaro Shibata , Yosuke Kashiwagi , Takao Okuda , Siddhant Arora , Shinji Watanabe

As transformers have gained prominence in natural language processing, some researchers have investigated theoretically what problems they can and cannot solve, by treating problems as formal languages. Exploring such questions can help…

Machine Learning · Computer Science 2024-09-05 Lena Strobl , William Merrill , Gail Weiss , David Chiang , Dana Angluin

With the explosion of the size of digital dataset, the limiting factor for decomposition algorithms is the \emph{number of passes} over the input, as the input is often stored out-of-core or even off-site. Moreover, we're only interested in…

Numerical Analysis · Computer Science 2016-08-14 Radim Řeh{ů}řek

Streaming Data String Transducers (SDSTs) were introduced to model a class of imperative and a class of functional programs, manipulating lists of data items. These can be used to write commonly used routines such as insert, delete and…

Formal Languages and Automata Theory · Computer Science 2020-12-15 M. Praveen

Functors with an instance of the Traversable type class can be thought of as data structures which permit a traversal of their elements. This has been made precise by the correspondence between traversable functors and finitary containers…

Logic in Computer Science · Computer Science 2022-07-21 Gershom Bazerman

Speech-to-speech translation is a typical sequence-to-sequence learning task that naturally has two directions. How to effectively leverage bidirectional supervision signals to produce high-fidelity audio for both directions? Existing…

Computation and Language · Computer Science 2023-05-23 Xianchao Wu

The Transformer architecture is shown to provide a powerful machine transduction framework for online handwritten gestures corresponding to glyph strokes of natural language sentences. The attention mechanism is successfully used to create…

Computation and Language · Computer Science 2023-05-08 G. C. M. Silvestre , F. Balado , O. Akinremi , M. Ramo

Sentence embeddings can be decoded to give approximations of the original texts used to create them. We explore this effect in the context of text simplification, demonstrating that reconstructed text embeddings preserve complexity levels.…

Computation and Language · Computer Science 2025-10-29 Matthew Shardlow