980414
A General Theory of Deduction, Induction, and Learning
Deduction, induction, learning, are various aspects of a more general scientific activity: the discovery of truth. We propose to embed them in a common, logical framework. First, we define a generalized notion of "logical consequence." Alternating compact and "weakly compact" consequences, we stratify the set of generalized logical consequences of a given theory in a hierarchy. Classical first-order logic is a particular case of this framework; the fact that it is all about deduction is due to the compactness theorem, and this is reflected by the collapsing of the corresponding hierarchy to the first level. Classical learning paradigms in the inductive inference literature provide other particular cases. Finite learning corresponds exactly to the first level (or level ?1) of the hierarchy, whereas learning in the limit corresponds to another level (namely ?2). More generally, strong and natural connections exist between our hierarchy of generalized logical consequences, the Borel hierarchy, and the hierarchy which measures the complexity of a formula in terms of alternations of quantifiers. It is hoped that this framework provides the foundation of a unified logic of deduction and induction, and highlights the inductive nature of learning. An essential motivation for our work is to apply the theory presented here to the design of "Inductive Prolog", a system with both deductive and inductive capabilities, based on a natural extension of the resolution principle.
7592429
On the Convergence of Incremental Knowledge Base Construction
Ripple Down Rules is a practical methodology to build knowledge-based systems, which has proved successful in a wide range of commercial applications. However, little work has been done on its theoretical foundations. In this paper, we formalise the key features of the method. We present the process of building a correct knowledge base as a discovery scenario involving a user, an expert, and a system. The user provides data for classification. The expert helps the system to build its knowledge base incrementally, using the output of the latter in response to the last datum provided by the user. In case the system’s output is not satisfactory, the expert guides the system to improve its future performance while not affecting its ability to properly classify past data. We examine under which conditions the sequence of knowledge bases constructed by the system eventually converges to a knowledge base that faithfully represents the target classification function. Our results are in accordance with the observed behaviour of real-life systems.
2402100
Input-Dependence in Function-Learning
In the standard literature on inductive inference, a learner sees as input the course of values of the function to be learned. In the present work, it is investigated how reasonable this choice is and how sensitive the model is with respect to variations like the overgraph or undergraph of the function. Several implications and separations are shown and for the basic notions, a complete picture is obtained. Furthermore, relations to oracles, additional information and teams are explored.
38643151
Learning from Each Other
Since its inception, the field of machine learning has seen the advent of several learning paradigms, designed to frame the issues central to the learning activity, provide effective learning methods, and investigate the power and limitations inherent to the process of successful learning. In this article, we propose a formalization that underlies the key concepts of many such paradigms and discuss their relevance to scientific discovery, with the aim of assessing what scientists can expect from machines designed to assist them in their quest for the discovery of valid laws. We illustrate the formalization on several variations of a card game, and highlight the differences that paradigms impose on learners, as well as the assumptions they make on the nature of the learning process. We then use the formalization to describe a multi-agent interaction protocol, that has been inspired by these paradigms and that has been validated recently on some groups of agents. Finally, we propose extensions to this protocol.
39139980
On Sufficient Conditions for Learnability of Logic Programs from Positive Data
Shinohara, Arimura, and Krishna Rao have shown learnability in the limit of minimal models of classes of logic programs from positive only data. In most cases, these results involve logic programs in which the "size" of the head yields a bound on the size of the body literals. However, when local variables are present, such a bound on body literal size cannot directly be ensured. The above authors achieve such a restriction using technical notions like mode and linear inequalities. The present paper develops a conceptually clean framework where the behavior of local variables is controlled by nonlocal ones. It is shown that for certain classes of logic programs, learnablity from positive data is equivalent to limiting identification of bounds for the number of clauses and the number of local variables. This reduces the learning problem finding two integers. This cleaner framework generalizes all the known results and establishes learnability of new classes.
37212285
Quantification over names and modalities
30324632
Neural Network Based Algorithm for Radiation Dose Evaluation in Heterogeneous Environments
An efficient and accurate algorithm for radiation dose evaluation is presented in this paper. Such computations are useful in the radiotherapic treatment planning of tumors. The originality of our approach is to use a neural network which has been trained with several homogeneous environments to deduce the doses in any kind of environment (possibly heterogeneous). Our algorithm is compared in several representative contexts to a reference simulation code in the domain.
17099598
Reed-Solomon behavioral virtual component for communication systems
In this paper, we focus on the design of a communication system based on reusing IP cores. We consider that traditional methods for hardware design at the RT level suffer from heavy limitations that prevent them from efficiently addressing the algorithmic complexity and the high flexibility required by the various application profiles. We propose to raise the abstraction level of the specification and introduce the notion of architectural flexibility of an IP core by benefiting from the emerging high-level synthesis tools. Our method has been successfully applied to the design of a Reed-Solomon (RS) decoder IP core, targeting the DVB-DSNG digital video broadcasting standard. We are able to generate a variety of RS decoder architectures, with varying hardware complexity and computation speed, from a single behavioral-level VHDL specification.
34309839
Design of a flexible 2-D discrete wavelet transform IP core for JPEG2000 image coding in embedded imaging systems
The increasingly demanding requirements of multimedia applications have led to the definition of complex image and video coding standards such as JPEG2000 and MPEG4. Implementation of image or video encoders or decoders on mobile device requires high integration densities together with ability for "real-time" (on-the-fly) data processing. Today, the electronic system design community is mainly concerned with defining efficient System-on-a-Chip (SoC) design methodologies in order to benefit from the high integration capabilities of current application-specific integrated circuit and field-programmable gate array technologies on the one hand, and manage the increasing algorithmic complexity of applications on the other hand. Intellectual property (IP) reuse is considered as the key to speed up the system design and verification flow and make it more reliable.In this context, we have introduced a novel methodology for VLSI implementation of computation-intensive algorithms targeting digital signal processing applications. Our methodology combines IP reuse and high-level synthesis (HLS) and introduces the notion of "Behavioral IP". This approach aims at leveraging IP re-usability through functional and architectural flexibility based on: (1) modeling a component's behavior at a high abstraction level and (2) benefiting from HLS tools for architectural exploration and hardware generation.In this paper, we illustrate our methodology in the case of a 2-D discrete wavelet transform IP core for JPEG2000 image compression. We describe the successive views of the component throughout the design flow, from the application level down to the architectural level. We also provide synthesis results showing the variety of dedicated architectures that can be generated depending on user-defined functional-level, system-level and architectural-level requirements. We compare the performance and re-usability of the set of obtained architectures versus hand-crafted RTL specifications.
16535802
Power Consumption Modeling and Characterization of the TI C6201
This new approach characterizes power dissipation on complex dsps. its processor model relies on an initial functional-level power analysis of the target processor together with a characterization that qualifies the more significant architectural and algorithmic parameters for power dissipation. these parameters come from a simple profiling of the assembly code. This functional model accounts for deeply pipelined, superscalar, and hierarchical memory architectures.
15848153
Memory aware HLS and the implementation of ageing vectors
We introduce a new approach to take into account the memory architecture and the memory mapping in behavioral synthesis. We formalize the memory mapping as a set of constraints for the synthesis, and defined a memory constraint graph and an accessibility criterion to be used in the scheduling step. We present a new strategy for implementing signals (ageing vectors). We formalize the maturing process and explain how it may generate memory conflicts over several iterations of the algorithm. The final compatibility graph indicates the set of valid mappings for every signal. Several experiments are performed with our HLS tool GAUT. Our scheduling algorithm exhibits a relatively low complexity that permits to tackle complex designs in a reasonable time.