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This article revisits standard theorems from elementary number theory from a constructive, algorithmic, and proof-theoretic perspective, framed within the theory of computable functionals TCF. Key examples include B\'ezout's identity, the…

Logic · Mathematics 2026-05-25 Franziskus Wiesnet

Audio deepfake detection is well-studied as a binary problem, but partially manipulated speech, where a short synthesised segment is spliced into an otherwise genuine utterance, poses a harder and more realistic threat. Detecting such…

Sound · Computer Science 2026-05-29 S. Sutharya , Remya K. Sasi

In this paper we propose a new stable and accurate approximation technique which is extremely effective for interpolating large scattered data sets. The Partition of Unity (PU) method is performed considering Radial Basis Functions (RBFs)…

Numerical Analysis · Mathematics 2018-11-15 R. Cavoretto , S. De Marchi , A. De Rossi , E. Perracchione , G. Santin

We show that \emph{efficient Turing computability} at any fixed input/output precision implies the existence of \emph{compositionally sparse} (bounded-fan-in, polynomial-size) DAG representations and of corresponding neural approximants…

Machine Learning · Computer Science 2025-10-15 Tomaso Poggio

Working set size estimation (WSS) is of great significance to improve the efficiency of program executing and memory arrangement in modern operating systems. Previous work proposed several methods to estimate WSS, including self-balloning,…

Performance · Computer Science 2023-03-13 Zhilu Lian , Yangzi Li , Zhixiang Chen , Shiwen Shan , Baoxin Han , Yuxin Su

Artificial intelligence applications in autonomous driving, medical diagnostics, and financial systems increasingly demand machine learning models that can provide robust uncertainty quantification, interpretability, and noise resilience.…

Radio astronomy observatories with high throughput back end instruments require real-time data processing. While computing hardware continues to advance rapidly, development of real-time processing pipelines remains difficult and…

Binary authorship analysis is a significant problem in many software engineering applications. In this paper, we formulate a binary authorship verification task to accurately reflect the real-world working process of software forensic…

Software Engineering · Computer Science 2022-03-10 Qige Song , Yongzheng Zhang , Linshu Ouyang , Yige Chen

We develop a framework for efficiently transforming certain approximation algorithms into differentially-private variants, in a black-box manner. Specifically, our results focus on algorithms A that output an approximation to a function f…

Data Structures and Algorithms · Computer Science 2023-09-12 Jeremiah Blocki , Elena Grigorescu , Tamalika Mukherjee , Samson Zhou

Witnesses record automated program analysis results and make them exchangeable. To validate correctness witnesses through abstract interpretation, we introduce a novel abstract operation unassume. This operator incorporates witness…

Programming Languages · Computer Science 2025-03-06 Simmo Saan , Michael Schwarz , Julian Erhard , Helmut Seidl , Sarah Tilscher , Vesal Vojdani

This paper considers the task of performing binary search under noisy decisions, focusing on the application of target area localization. In the presence of noise, the classical partitioning approach of binary search is prone to error…

Information Theory · Computer Science 2025-05-01 Kaan Buyukkalayci , Merve Karakas , Xinlin Li , Christina Fragouli

Packing for Supervised Fine-Tuning (SFT) in autoregressive models involves concatenating data points of varying lengths until reaching the designed maximum length to facilitate GPU processing. However, randomly concatenating data points can…

Machine Learning · Computer Science 2025-02-27 Jiancheng Dong , Lei Jiang , Wei Jin , Lu Cheng

Convolutional neural networks (CNNs), such as the time-delay neural network (TDNN), have shown their remarkable capability in learning speaker embedding. However, they meanwhile bring a huge computational cost in storage size, processing,…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-22 Rui Wang , Zhihua Wei , Haoran Duan , Shouling Ji , Yang Long , Zhen Hong

Due to their growing popularity and computational cost, deep neural networks (DNNs) are being targeted for hardware acceleration. A popular architecture for DNN acceleration, adopted by the Google Tensor Processing Unit (TPU), utilizes a…

Machine Learning · Computer Science 2018-02-20 Jeff Zhang , Tianyu Gu , Kanad Basu , Siddharth Garg

Analyzing the security of closed-source drivers and libraries in embedded systems holds significant importance, given their fundamental role in the supply chain. Unlike x86, embedded platforms lack comprehensive binary manipulating tools,…

Cryptography and Security · Computer Science 2024-04-25 Shipei Qu , Xiaolin Zhang , Chi Zhang , Dawu Gu

Recent advancements in large language models (LLMs) have spurred growing interest in automatic theorem proving using Lean4, where effective tree search methods are crucial for navigating the underlying large proof search spaces. While the…

Artificial Intelligence · Computer Science 2025-10-10 Ran Xin , Chenguang Xi , Jie Yang , Feng Chen , Hang Wu , Xia Xiao , Yifan Sun , Shen Zheng , Kai Shen

In recent years, the notion of local robustness (or robustness for short) has emerged as a desirable property of deep neural networks. Intuitively, robustness means that small perturbations to an input do not cause the network to perform…

Programming Languages · Computer Science 2019-05-02 Greg Anderson , Shankara Pailoor , Isil Dillig , Swarat Chaudhuri

Deepfake detection aims to contrast the spread of deep-generated media that undermines trust in online content. While existing methods focus on large and complex models, the need for real-time detection demands greater efficiency. With this…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Lanzino Romeo , Fontana Federico , Diko Anxhelo , Marini Marco Raoul , Cinque Luigi

The rise of deep learning has marked significant progress in fields such as computer vision, natural language processing, and medical imaging, primarily through the adaptation of pre-trained models for specific tasks. Traditional…

Machine Learning · Computer Science 2024-04-25 Charith Chandra Sai Balne , Sreyoshi Bhaduri , Tamoghna Roy , Vinija Jain , Aman Chadha

There is a plethora of data structures, algorithms, and frameworks dealing with major data-stream problems like estimating the frequency of items, answering set membership, association and multiplicity queries, and several other statistics…

Data Structures and Algorithms · Computer Science 2021-06-24 Anes Abdennebi , Kamer Kaya
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