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The very challenging task of learning solution operators of PDEs on arbitrary domains accurately and efficiently is of vital importance to engineering and industrial simulations. Despite the existence of many operator learning algorithms to…

Machine Learning · Computer Science 2026-01-14 Shizheng Wen , Arsh Kumbhat , Levi Lingsch , Sepehr Mousavi , Yizhou Zhao , Praveen Chandrashekar , Siddhartha Mishra

The use of formal analysis tools on models or source code often requires the availability of auxiliary invariants about the studied system. Abstract interpretation is currently one of the best approaches to discover useful invariants,…

Logic in Computer Science · Computer Science 2015-03-20 Pierre-Loïc Garoche , Temesghen Kahsai , Cesare Tinelli

In recent years, with the realistic generation results and a wide range of personalized applications, diffusion-based generative models gain huge attention in both visual and audio generation areas. Compared to the considerable advancements…

Computer Vision and Pattern Recognition · Computer Science 2024-05-27 Shiqi Yang , Zhi Zhong , Mengjie Zhao , Shusuke Takahashi , Masato Ishii , Takashi Shibuya , Yuki Mitsufuji

Abstract interpretation is a method to automatically find invariants of programs or pieces of code whose semantics is given via least fixed-points. Up-to techniques have been introduced as enhancements of coinduction, an abstract principle…

Logic in Computer Science · Computer Science 2018-05-03 Filippo Bonchi , Pierre Ganty , Roberto Giacobazzi , Dusko Pavlovic

We present and evaluate a technique for computing path-sensitive interference conditions during abstract interpretation of concurrent programs. In lieu of fixed point computation, we use prime event structures to compactly represent causal…

Programming Languages · Computer Science 2017-05-02 Marcelo Sousa , César Rodríguez , Vijay D'Silva , Daniel Kroening

We introduce ECHO, a transformer-operator framework for generating million-point PDE trajectories. While existing neural operators (NOs) have shown promise for solving partial differential equations, they remain limited in practice due to…

Machine Learning · Computer Science 2025-12-05 Armand Kassaï Koupaï , Lise Le Boudec , Patrick Gallinari

While significant improvements have been made in recent years in terms of end-to-end automatic speech recognition (ASR) performance, such improvements were obtained through the use of very large neural networks, unfit for embedded use on…

Computation and Language · Computer Science 2020-03-25 Alex Bie , Bharat Venkitesh , Joao Monteiro , Md. Akmal Haidar , Mehdi Rezagholizadeh

The goal of the audio-visual segmentation (AVS) task is to segment the sounding objects in the video frames using audio cues. However, current fusion-based methods have the performance limitations due to the small receptive field of…

Sound · Computer Science 2023-07-26 Jinxiang Liu , Chen Ju , Chaofan Ma , Yanfeng Wang , Yu Wang , Ya Zhang

Transformer has achieved competitive performance against state-of-the-art end-to-end models in automatic speech recognition (ASR), and requires significantly less training time than RNN-based models. The original Transformer, with…

Audio and Speech Processing · Electrical Eng. & Systems 2020-08-14 Wenyong Huang , Wenchao Hu , Yu Ting Yeung , Xiao Chen

Transformers have emerged as a universal backbone across 3D perception, video generation, and world models for autonomous driving and embodied AI, where understanding camera geometry is essential for grounding visual observations in…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Cheng Zhang , Boying Li , Meng Wei , Yan-Pei Cao , Camilo Cruz Gambardella , Dinh Phung , Jianfei Cai

Since self-attention layers in Transformers are permutation invariant by design, positional encodings must be explicitly incorporated to enable spatial understanding. However, fixed-size lookup tables used in traditional learnable position…

Machine Learning · Computer Science 2025-06-18 Huayang Li , Yahui Liu , Hongyu Sun , Deng Cai , Leyang Cui , Wei Bi , Peilin Zhao , Taro Watanabe

While transformer models have been highly successful, they are computationally inefficient. We observe that for each layer, the full width of the layer may be needed only for a small subset of tokens inside a batch and that the "effective"…

Machine Learning · Computer Science 2024-12-19 Bartosz Wójcik , Alessio Devoto , Karol Pustelnik , Pasquale Minervini , Simone Scardapane

Despite the popularity of transformers in practice, their architectures are empirically designed and neither mathematically justified nor interpretable. Moreover, as indicated by many empirical studies, some components of transformer…

Machine Learning · Computer Science 2025-06-05 Peng Wang , Yifu Lu , Yaodong Yu , Druv Pai , Qing Qu , Yi Ma

An abstract sound is defined as a sound that does not disclose identifiable real-world sound events to a listener. Sound fusion aims to synthesize an original sound and a reference sound to generate a novel sound that exhibits auditory…

Sound · Computer Science 2025-08-05 Jing Liu , Enqi Lian , Moyao Deng

In this paper we develop an adaptive transform-domain technique based on rational function systems. It is of general importance in several areas of signal theory, including filter design, transfer function approximation, system…

Signal Processing · Electrical Eng. & Systems 2020-03-03 Péter Kovács , Sándor Fridli , Ferenc Schipp

The Transformer and its variants have been proven to be efficient sequence learners in many different domains. Despite their staggering success, a critical issue has been the enormous number of parameters that must be trained (ranging from…

Machine Learning · Computer Science 2021-10-28 Subhabrata Dutta , Tanya Gautam , Soumen Chakrabarti , Tanmoy Chakraborty

The design and implementation of static analyzers has become increasingly systematic. Yet for a given language or analysis feature, it often requires tedious and error prone work to implement an analyzer and prove it sound. In short, static…

Programming Languages · Computer Science 2015-10-06 David Darais , Matthew Might , David Van Horn

Visual Prompt Tuning (VPT) adapts a frozen Vision Transformer (ViT) to downstream tasks by inserting a small number of learnable prompt tokens into the token sequence at each layer. However, we observe that existing VPT variants often…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Junze Wang , Lei Fan , Dezheng Zhang , Weipeng Jing , Donglin Di , Yang Song , Sidong Liu , Cong Cong

Recent research suggests that systematic generalization in natural language understanding remains a challenge for state-of-the-art neural models such as Transformers and Graph Neural Networks. To tackle this challenge, we propose Edge…

Computation and Language · Computer Science 2021-12-02 Leon Bergen , Timothy J. O'Donnell , Dzmitry Bahdanau

Neural audio autoencoders create compact latent representations that preserve perceptually important information, serving as the foundation for both modern audio compression systems and generation approaches like next-token prediction and…

Sound · Computer Science 2025-09-10 Dimitrios Bralios , Paris Smaragdis , Jonah Casebeer
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