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In order to formulate mathematical conjectures likely to be true, a number of base cases must be determined. However, many combinatorial problems are NP-hard and the computational complexity makes this research approach difficult using a…

数据结构与算法 · 计算机科学 2015-12-18 Victoria Horan , Steve Adachi , Stanley Bak

This paper introduces the 2019 version of \us{}, a novel Constraint Programming framework for floating point verification problems expressed with the SMT language of SMTLIB. SMT solvers decompose their task by delegating to specific…

人工智能 · 计算机科学 2020-03-02 Heytem Zitoun , Claude Michel , Laurent Michel , Michel Rueher

Support vector machines (SVM) and other kernel techniques represent a family of powerful statistical classification methods with high accuracy and broad applicability. Because they use all or a significant portion of the training data,…

机器学习 · 统计学 2023-01-31 Peter Mills

In this paper, we study quantum algorithms of matrix multiplication from the viewpoint of inputting quantum/classical data to outputting quantum/classical data. The main target is trying to overcome the input and output problem, which are…

量子物理 · 物理学 2018-07-31 Changpeng Shao

The support vector machine (SVM) was originally designed for binary classifications. A lot of effort has been put to generalize the binary SVM to multiclass SVM (MSVM) which are more complex problems. Initially, MSVMs were solved by…

机器学习 · 统计学 2015-12-01 Yangyang Xu , Ioannis Akrotirianakis , Amit Chakraborty

SAT provers are powerful tools for solving real-sized logic problems, but using them requires solid programming knowledge and may be seen w.r.t.\ logic like assembly language w.r.t.\ programming. Something like a high level language was…

Solving different types of optimization models (including parameters fitting) for support vector machines on large-scale training data is often an expensive computational task. This paper proposes a multilevel algorithmic framework that…

机器学习 · 统计学 2014-10-14 Talayeh Razzaghi , Ilya Safro

Deep learning has emerged as an effective approach for creating modern software systems, with neural networks often surpassing hand-crafted systems. Unfortunately, neural networks are known to suffer from various safety and security issues.…

机器学习 · 计算机科学 2021-01-19 Guy Amir , Haoze Wu , Clark Barrett , Guy Katz

Algebraic data types (ADTs) are a construct classically found in functional programming languages that capture data structures like enumerated types, lists, and trees. In recent years, interest in ADTs has increased. For example, popular…

计算机科学中的逻辑 · 计算机科学 2023-10-20 Amar Shah , Federico Mora , Sanjit A. Seshia

Decoder transformers have continued increasing in scale reaching hundreds of billions of parameters. Due to their scale the same decoder sets state-of-the-art results on various language tasks via prompting or fine-tuning. Yet, these large…

计算与语言 · 计算机科学 2022-08-08 Niklas Muennighoff

Program verification is a resource-hungry task. This paper looks at the problem of parallelizing SMT-based automated program verification, specifically bounded model-checking, so that it can be distributed and executed on a cluster of…

编程语言 · 计算机科学 2020-05-19 Prantik Chatterjee , Subhajit Roy , Bui Phi Diep , Akash Lal

Typically, nonlinear Support Vector Machines (SVMs) produce significantly higher classification quality when compared to linear ones but, at the same time, their computational complexity is prohibitive for large-scale datasets: this…

机器学习 · 计算机科学 2021-11-11 S. Cipolla , J. Gondzio

The problem of finding small unsatisfiable cores for SAT formulas has recently received a lot of interest, mostly for its applications in formal verification. However, propositional logic is often not expressive enough for representing many…

计算机科学中的逻辑 · 计算机科学 2014-01-17 Alessandro Cimatti , Alberto Griggio , Roberto Sebastiani

Subgradient algorithms for training support vector machines have been quite successful for solving large-scale and online learning problems. However, they have been restricted to linear kernels and strongly convex formulations. This paper…

机器学习 · 计算机科学 2011-11-04 Sangkyun Lee , Stephen J. Wright

Artificial Intelligence problems, ranging form planning/scheduling up to game control, include an essential crucial step: describing a model which accurately defines the problem's required data, requirements, allowed transitions and…

人工智能 · 计算机科学 2019-03-25 Andrei Arusoaie , Ionut Pistol

We present a novel length-aware solving algorithm for the quantifier-free first-order theory over regex membership predicate and linear arithmetic over string length. We implement and evaluate this algorithm and related heuristics in the Z3…

计算机科学中的逻辑 · 计算机科学 2021-05-10 Murphy Berzish , Mitja Kulczynski , Federico Mora , Florin Manea , Joel D. Day , Dirk Nowotka , Vijay Ganesh

A class of two-bit bit flipping algorithms for decoding low-density parity-check codes over the binary symmetric channel was proposed in [1]. Initial results showed that decoders which employ a group of these algorithms operating in…

信息论 · 计算机科学 2012-05-22 Dung Viet Nguyen , Bane Vasic , Michael W. Marcellin

Compilers for statically typed functional programming languages are notorious for generating confusing type error messages. When the compiler detects a type error, it typically reports the program location where the type checking failed as…

编程语言 · 计算机科学 2015-08-28 Zvonimir Pavlinovic , Tim King , Thomas Wies

Most automated program verifiers for separation logic use either symbolic execution or verification condition generation to extract proof obligations, which are then handed over to an SMT solver. Existing verification algorithms are…

编程语言 · 计算机科学 2024-05-28 Marco Eilers , Malte Schwerhoff , Peter Müller

Efficient omission of symmetric solution candidates is essential for combinatorial problem-solving. Most of the existing approaches are instance-specific and focus on the automatic computation of Symmetry Breaking Constraints (SBCs) for…

计算机科学中的逻辑 · 计算机科学 2022-04-26 Alice Tarzariol , Martin Gebser , Konstantin Schekotihin