conditional constraint
A hybrid quantum-classical conditional generative adversarial network algorithm for human-centered paradigm in cloud
Liu, Wenjie, Zhang, Ying, Deng, Zhiliang, Zhao, Jiaojiao, Tong, Lian
As an emerging field that aims to bridge the gap between human activities and computing systems, human-centered computing (HCC) in cloud, edge, fog has had a huge impact on the artificial intelligence algorithms. The quantum generative adversarial network (QGAN) is considered to be one of the quantum machine learning algorithms with great application prospects, which also should be improved to conform to the human-centered paradigm. The generation process of QGAN is relatively random and the generated model does not conform to the human-centered concept, so it is not quite suitable for real scenarios. In order to solve these problems, a hybrid quantum-classical conditional generative adversarial network (QCGAN) algorithm is proposed, which is a knowledge-driven human-computer interaction computing mode that can be implemented in cloud. The purposes of stabilizing the generation process and realizing the interaction between human and computing process are achieved by inputting artificial conditional information in the generator and discriminator. The generator uses the parameterized quantum circuit with an all-to-all connected topology, which facilitates the tuning of network parameters during the training process. The discriminator uses the classical neural network, which effectively avoids the "input bottleneck" of quantum machine learning. Finally, the BAS training set is selected to conduct experiment on the quantum cloud computing platform. The result shows that the QCGAN algorithm can effectively converge to the Nash equilibrium point after training and perform human-centered classification generation tasks.
Dealing with Incompatibilities among Procedural Goals under Uncertainty
Morveli-Espinoza, Mariela, Nieves, Juan Carlos, Possebom, Ayslan Trevizan, Tacla, Cesar Augusto
By considering rational agents, we focus on the problem of selecting goals out of a set of incompatible ones. We consider three forms of incompatibility introduced by Castelfranchi and Paglieri, namely the terminal, the instrumental (or based on resources), and the superfluity. We represent the agent's plans by means of structured arguments whose premises are pervaded with uncertainty. We measure the strength of these arguments in order to determine the set of compatible goals. We propose two novel ways for calculating the strength of these arguments, depending on the kind of incompatibility that exists between them. The first one is the logical strength value, it is denoted by a three-dimensional vector, which is calculated from a probabilistic interval associated with each argument. The vector represents the precision of the interval, the location of it, and the combination of precision and location. This type of representation and treatment of the strength of a structured argument has not been defined before by the state of the art. The second way for calculating the strength of the argument is based on the cost of the plans (regarding the necessary resources) and the preference of the goals associated with the plans. Considering our novel approach for measuring the strength of structured arguments, we propose a semantics for the selection of plans and goals that is based on Dung's abstract argumentation theory. Finally, we make a theoretical evaluation of our proposal.
Unbounded Sub-Optimal Conflict-Based Search in Complex Domains
Walker, Thayne T. (University of Denver) | Sturtevant, Nathan R. (University of Alberta) | Felner, Ariel (Ben-Gurion University of the Negev)
Conflict-Based Search (CBS) is a state of the art algorithm for multi-agent pathfinding (MAPF). CBS has been studied in many domains, however, most research has focused on classic domains with point agents that move with unit time steps and unit costs. In this work, we are interested in MAPF solutions for classic domains and complex domains, that is, domains which include shaped agents, actions with non-unit costs, non-uniform action durations and/or non-holonomic or kinodynamic movement constraints. Prior work on sub-optimal formulations of CBS has focused on heuristics. Instead, our work introduces new types of constraints. We show that certain constraint formulations have properties that can cause CBS to run orders of magnitude faster, but may cause the algorithm to be incomplete and yield sub-optimal results. We introduce new conditional constraints which allow CBS to exploit constraint properties which cause it to run faster and still retain algorithmic completeness. We additionally formulate a new constraint accumulation technique called constraint overloading which utilizes conditional constraints in order to achieve further performance gains.
Conditional PSDDs: Modeling and Learning With Modular Knowledge
Shen, Yujia (University of California, Los Angeles) | Choi, Arthur (University of California, Los Angeles) | Darwiche, Adnan (University of California, Los Angeles)
Probabilistic Sentential Decision Diagrams (PSDDs) have been proposed for learning tractable probability distributions from a combination of data and background knowledge (in the form of Boolean constraints). In this paper, we propose a variant on PSDDs, called conditional PSDDs, for representing a family of distributions that are conditioned on the same set of variables. Conditional PSDDs can also be learned from a combination of data and (modular) background knowledge. We use conditional PSDDs to define a more structured version of Bayesian networks, in which nodes can have an exponential number of states, hence expanding the scope of domains where Bayesian networks can be applied. Compared to classical PSDDs, the new representation exploits the independencies captured by a Bayesian network to decompose the learning process into localized learning tasks, which enables the learning of better models while using less computation. We illustrate the promise of conditional PSDDs and structured Bayesian networks empirically, and by providing a case study to the modeling of distributions over routes on a map.
Resource-Constrained Scheduling for Maritime Traffic Management
Agussurja, Lucas (Singapore Management University) | Kumar, Akshat (Singapore Management University) | Lau, Hoong Chuin (Singapore Management University)
We address the problem of mitigating congestion and preventing hotspots in busy water areas such as Singapore Straits and port waters. Increasing maritime traffic coupled with narrow waterways makes vessel schedule coordination for just-in-time arrival critical for navigational safety. Our contributions are: 1) We formulate the maritime traffic management problem based on the real case study of Singapore waters; 2) We model the problem as a variant of the resource-constrained project scheduling problem (RCPSP), and formulate mixed-integer and constraint programming (MIP/CP) formulations; 3) To improve the scalability, we develop a combinatorial Benders (CB) approach that is significantly more effective than standard MIP and CP formulations. We also develop symmetry breaking constraints and optimality cuts that further enhance the CB approach's effectiveness; 4) We develop a realistic maritime traffic simulator using electronic navigation charts of Singapore Straits. Our scheduling approach on synthetic problems and a real 55-day AIS dataset results in significant reduction of the traffic density while incurring minimal delays.
Boosting SBDS for Partial Symmetry Breaking in Constraint Programming
Lee, Jimmy H.M. (The Chinese University of Hong Kong) | Zhu, Zichen (The Chinese University of Hong Kong)
The paper proposes a dynamic method, Recursive SBDS(ReSBDS), for efficient partial symmetry breaking. Wefirst demonstrate how (partial) Symmetry BreakingDuring Search (SBDS) misses important pruning opportunitieswhen given only a subset of symmetries tobreak. The investigation pinpoints the culprit and in turnsuggests rectification. The main idea is to add extra conditionalconstraints during search recursively to prunealso symmetric nodes of some pruned subtrees. Thus,ReSBDS can break extra symmetry compositions, butis carefully designed to break only the ones that areeasy to identify and inexpensive to break. We presenttheorems to guarantee the soundness and terminationof our approach, and compare our method with popularstatic and dynamic methods. When the variable (value)heuristic is static, ReSBDS is also complete in eliminatingall interchangeable variables (values) given only thegenerator symmetries. Extensive experimentations confirmthe efficiency of ReSBDS, when compared againststate of the art methods.
Probabilistic Logic Programming under Inheritance with Overriding
We present probabilistic logic programming under inheritance with overriding. This approach is based on new notions of entailment for reasoning with conditional constraints, which are obtained from the classical notion of logical entailment by adding the principle of inheritance with overriding. This is done by using recent approaches to probabilistic default reasoning with conditional constraints. We analyze the semantic properties of the new entailment relations. We also present algorithms for probabilistic logic programming under inheritance with overriding, and program transformations for an increased efficiency.
Probabilistic Deduction with Conditional Constraints over Basic Events
We study the problem of probabilistic deduction with conditional constraints over basic events. We show that globally complete probabilistic deduction with conditional constraints over basic events is NP-hard. We then concentrate on the special case of probabilistic deduction in conditional constraint trees. We elaborate very efficient techniques for globally complete probabilistic deduction. In detail, for conditional constraint trees with point probabilities, we present a local approach to globally complete probabilistic deduction, which runs in linear time in the size of the conditional constraint trees. For conditional constraint trees with interval probabilities, we show that globally complete probabilistic deduction can be done in a global approach by solving nonlinear programs. We show how these nonlinear programs can be transformed into equivalent linear programs, which are solvable in polynomial time in the size of the conditional constraint trees.