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Disjunctive Linear Arithmetic (DLA) is a major decidable theory that is supported by almost all existing theorem provers. The theory consists of Boolean combinations of predicates of the form $\Sigma_{j=1}^{n}a_j\cdot x_j \le b$, where the…

Logic in Computer Science · Computer Science 2007-05-23 Ofer Strichman

Recent work introduced the cube-and-conquer technique to solve hard SAT instances. It partitions the search space into cubes using a lookahead solver. Each cube is tackled by a conflict-driven clause learning (CDCL) solver. Crucial for…

Data Structures and Algorithms · Computer Science 2014-02-19 Peter van der Tak , Marijn J. H. Heule , Armin Biere

The label-embedded dictionary learning (DL) algorithms generate influential dictionaries by introducing discriminative information. However, there exists a limitation: All the label-embedded DL methods rely on the labels due that this way…

Machine Learning · Computer Science 2021-12-06 Shuai Shao , Lei Xing , Wei Yu , Rui Xu , Yanjiang Wang , Baodi Liu

Catastrophic forgetting of previous knowledge is a critical issue in continual learning typically handled through various regularization strategies. However, existing methods struggle especially when several incremental steps are performed.…

Computer Vision and Pattern Recognition · Computer Science 2024-02-20 Chang Liu , Giulia Rizzoli , Francesco Barbato , Andrea Maracani , Marco Toldo , Umberto Michieli , Yi Niu , Pietro Zanuttigh

A major problem with Active Learning (AL) is high training costs since models are typically retrained from scratch after every query round. We start by demonstrating that standard AL on neural networks with warm starting fails, both to…

Machine Learning · Computer Science 2023-12-14 Arnav Das , Gantavya Bhatt , Megh Bhalerao , Vianne Gao , Rui Yang , Jeff Bilmes

Learning from large amounts of unsupervised data and a small amount of supervision is an important open problem in computer vision. We propose a new semi-supervised learning method, Semantic Positives via Pseudo-Labels (SemPPL), that…

Computer Vision and Pattern Recognition · Computer Science 2024-01-11 Matko Bošnjak , Pierre H. Richemond , Nenad Tomasev , Florian Strub , Jacob C. Walker , Felix Hill , Lars Holger Buesing , Razvan Pascanu , Charles Blundell , Jovana Mitrovic

Pseudo-Boolean constraints are omnipresent in practical applications, and thus a significant effort has been devoted to the development of good SAT encoding techniques for them. Some of these encodings first construct a Binary Decision…

Artificial Intelligence · Computer Science 2014-01-24 Ignasi Abío , Robert Nieuwenhuis , Albert Oliveras , Enric Rodriguez-Carbonell , Valentin Mayer-Eichberger

Point clouds provide a flexible and natural representation usable in countless applications such as robotics or self-driving cars. Recently, deep neural networks operating on raw point cloud data have shown promising results on supervised…

Machine Learning · Computer Science 2019-06-04 Jonathan Sauder , Bjarne Sievers

We present an acceleration method for sequences of large-scale linear systems, such as the ones arising from the numerical solution of time-dependent partial differential equations coupled with algebraic constraints. We discuss different…

Numerical Analysis · Mathematics 2024-03-29 Margherita Guido , Daniel Kressner , Paolo Ricci

Complementary-Label Learning (CLL) is a weakly-supervised learning problem that aims to learn a multi-class classifier from only complementary labels, which indicate a class to which an instance does not belong. Existing approaches mainly…

Machine Learning · Computer Science 2023-04-12 Wei-I Lin , Hsuan-Tien Lin

We propose a novel approach for the development, analysis, and verification of reductions between NP-complete problems. This method uses the URSA system, a SAT-based constraint solver and incorporates features that distinguish it from…

Logic in Computer Science · Computer Science 2025-11-25 Predrag Janičić

Propositional model counting (#SAT) can be solved efficiently when the input formula is in deterministic decomposable negation normal form (d-DNNF). Translating an arbitrary formula into a representation that allows inference tasks, such as…

Artificial Intelligence · Computer Science 2023-12-01 Vincent Derkinderen , Pedro Zuidberg Dos Martires , Samuel Kolb , Paolo Morettin

Clause-elimination procedures that simplify formulas in conjunctive normal form play an important role in modern SAT solving. Before or during the actual solving process, such procedures identify and remove clauses that are irrelevant to…

Logic in Computer Science · Computer Science 2023-06-22 Benjamin Kiesl , Martina Seidl , Hans Tompits , Armin Biere

In the area of inductive learning, generalization is a main operation, and the usual definition of induction is based on logical implication. Recently there has been a rising interest in clausal representation of knowledge in machine…

Artificial Intelligence · Computer Science 2014-11-17 P. Idestam-Almquist

Generalized intent discovery aims to extend a closed-set in-domain intent classifier to an open-world intent set including in-domain and out-of-domain intents. The key challenges lie in pseudo label disambiguation and representation…

Computation and Language · Computer Science 2023-05-30 Yutao Mou , Xiaoshuai Song , Keqing He , Chen Zeng , Pei Wang , Jingang Wang , Yunsen Xian , Weiran Xu

Partial Label (PL) learning refers to the task of learning from the partially labeled data, where each training instance is ambiguously equipped with a set of candidate labels but only one is valid. Advances in the recent deep PL learning…

Machine Learning · Computer Science 2022-12-01 Ximing Li , Yuanzhi Jiang , Changchun Li , Yiyuan Wang , Jihong Ouyang

We build a SAT solver implementing the DPLL algorithm in the verification-enabled programming language Dafny. The resulting solver is fully verified (soundness, completeness and termination are computer checked). We benchmark our Dafny…

Logic in Computer Science · Computer Science 2020-07-22 Cezar-Constantin Andrici , Ştefan Ciobâcă

The Dirichlet Process Gaussian Mixture Model (DPGMM) is often used to cluster data when the number of clusters is unknown. One main DPGMM inference paradigm relies on sampling. Here we consider a known state-of-art sampler (proposed by…

Machine Learning · Computer Science 2022-03-28 Vlad Winter , Or Dinari , Oren Freifeld

Blocked clauses provide the basis for powerful reasoning techniques used in SAT, QBF, and DQBF solving. Their definition, which relies on a simple syntactic criterion, guarantees that they are both redundant and easy to find. In this paper,…

Logic in Computer Science · Computer Science 2017-02-06 Benjamin Kiesl , Martin Suda , Martina Seidl , Hans Tompits , Armin Biere

Math word problem (MWP) solving aims to understand the descriptive math problem and calculate the result, for which previous efforts are mostly devoted to upgrade different technical modules. This paper brings a different perspective of…

Computation and Language · Computer Science 2023-11-21 Yi Bin , Wenhao Shi , Yujuan Ding , Yang Yang , See-Kiong Ng