Cellular Neural Networks: Analysis, Design and Optimization
Cellular Neural Networks: Analysis, Design and Optimization
Overview
Cellular Neural Networks (CNNs) constitute a class of nonlinear, recurrent and locally coupled arrays of identical dynamical cells that operate in parallel. ANALOG chips are being developed for use in applications where sophisticated signal processing at low power consumption is required. Signal processing via CNNs only becomes efficient if the network is implemented in analog hardware. In view of the physical limitations that analog implementations entail, robust operation of a CNN chip with respect to parameter variations has to be insured. By far not all mathematically possible CNN tasks can be carried out reliably on an analog chip; some of them are inherently too sensitive. This book defines a robustness measure to quantify the degree of robustness and proposes an exact and direct analytical design method for the synthesis of optimally robust network parameters. The method is based on a design centering technique which is generally applicable where linear constraints have to be satisfied in an optimum way. Processing speed is always crucial when discussing signal-processing devices. In the case of the CNN, it is shown that the setting time can be specified in closed analytical expressions, which permits, on the one hand, parameter optimization with respect to speed and, on the other hand, efficient numerical integration of CNNs. Interdependence between robustness and speed issues are also addressed. Another goal pursued is the unification of the theory of continuous-time and discrete-time systems. By means of a delta-operator approach, it is proven that the same network parameters can be used for both of these classes, even if their nonlinear output functions differ. More complex CNN optimization problems that cannot be solved analytically necessitate resorting to numerical methods. Among these, stochastic optimization techniques such as genetic algorithms prove their usefulness, for example in image classification problems. Since the inception of the CNN, the problem of finding the network parameters for a desired task has been regarded as a learning or training problem, and computationally expensive methods derived from standard neural networks have been applied. Furthermore, numerous useful parameter sets have been derived by intuition. In this book, a direct and exact analytical design method for the network parameters is presented. The approach yields solutions which are optimum with respect to robustness, an aspect which is crucial for successful implementation of the analog CNN hardware that has often been neglected. `This beautifully rounded work provides many interesting and useful results, for both CNN theorists and circuit designers.' Leon O. ChuaDescription
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Overview
Cellular Neural Networks (CNNs) constitute a class of nonlinear, recurrent and locally coupled arrays of identical dynamical cells that operate in parallel. ANALOG chips are being developed for use in applications where sophisticated signal processing at low power consumption is required. Signal processing via CNNs only becomes efficient if the network is implemented in analog hardware. In view of the physical limitations that analog implementations entail, robust operation of a CNN chip with respect to parameter variations has to be insured. By far not all mathematically possible CNN tasks can be carried out reliably on an analog chip; some of them are inherently too sensitive. This book defines a robustness measure to quantify the degree of robustness and proposes an exact and direct analytical design method for the synthesis of optimally robust network parameters. The method is based on a design centering technique which is generally applicable where linear constraints have to be satisfied in an optimum way. Processing speed is always crucial when discussing signal-processing devices. In the case of the CNN, it is shown that the setting time can be specified in closed analytical expressions, which permits, on the one hand, parameter optimization with respect to speed and, on the other hand, efficient numerical integration of CNNs. Interdependence between robustness and speed issues are also addressed. Another goal pursued is the unification of the theory of continuous-time and discrete-time systems. By means of a delta-operator approach, it is proven that the same network parameters can be used for both of these classes, even if their nonlinear output functions differ. More complex CNN optimization problems that cannot be solved analytically necessitate resorting to numerical methods. Among these, stochastic optimization techniques such as genetic algorithms prove their usefulness, for example in image classification problems. Since the inception of the CNN, the problem of finding the network parameters for a desired task has been regarded as a learning or training problem, and computationally expensive methods derived from standard neural networks have been applied. Furthermore, numerous useful parameter sets have been derived by intuition. In this book, a direct and exact analytical design method for the network parameters is presented. The approach yields solutions which are optimum with respect to robustness, an aspect which is crucial for successful implementation of the analog CNN hardware that has often been neglected. `This beautifully rounded work provides many interesting and useful results, for both CNN theorists and circuit designers.' Leon O. ChuaDescription
Condition Guidelines
Books - New and Used
The following guidelines apply to books:
- New: A brand-new copy with cover and original protective wrapping intact. Books with markings of any kind on the cover or pages, books marked as "Bargain" or "Remainder," or with any other labels attached, may not be listed as New condition.
- Used - Good: All pages and cover are intact (including the dust cover, if applicable). Spine may show signs of wear. Pages may include limited notes and highlighting. May include "From the library of" labels. Shrink wrap, dust covers, or boxed set case may be missing. Item may be missing bundled media.
- Used - Acceptable: All pages and the cover are intact, but shrink wrap, dust covers, or boxed set case may be missing. Pages may include limited notes, highlighting, or minor water damage but the text is readable. Item may but the dust cover may be missing. Pages may include limited notes and highlighting, but the text cannot be obscured or unreadable.
Note: Some electronic material access codes are valid only for one user. For this reason, used books, including books listed in the Used – Like New condition, may not come with functional electronic material access codes.
Shipping & Delivery
Shipping Fees
- Stevens Books offers FREE SHIPPING everywhere in the United States for ALL non-book orders, and $3.99 for each book.
- Packages are shipped from Monday to Friday.
- No additional fees and charges.
Delivery Times
The usual time for processing an order is 24 hours (1 business day), but may vary depending on the availability of products ordered. This period excludes delivery times, which depend on your geographic location.
Estimated delivery times:
- Standard Shipping: 5-8 business days
- Expedited Shipping: 3-5 business days
Shipping method varies depending on what is being shipped.
Tracking
All orders are shipped with a tracking number. Once your order has left our warehouse, a confirmation e-mail with a tracking number will be sent to you. You will be able to track your package at all times.
Damaged Parcel
If your package has been delivered in a PO Box, please note that we are not responsible for any damage that may result (consequences of extreme temperatures, theft, etc.).
If you have any questions regarding shipping or want to know about the status of an order, please contact us or email to support@stevensbooks.com.
Returns & Refunds
You may return most items within 30 days of delivery for a full refund.
To be eligible for a return, your item must be unused and in the same condition that you received it. It must also be in the original packaging.
Several types of goods are exempt from being returned. Perishable goods such as food, flowers, newspapers or magazines cannot be returned. We also do not accept products that are intimate or sanitary goods, hazardous materials, or flammable liquids or gases.
Additional non-returnable items:
- Gift cards
- Downloadable software products
- Some health and personal care items
To complete your return, we require a tracking number, which shows the items which you already returned to us.
There are certain situations where only partial refunds are granted (if applicable)
- Book with obvious signs of use
- CD, DVD, VHS tape, software, video game, cassette tape, or vinyl record that has been opened
- Any item not in its original condition, is damaged or missing parts for reasons not due to our error
- Any item that is returned more than 30 days after delivery
Items returned to us as a result of our error will receive a full refund,some returns may be subject to a restocking fee of 7% of the total item price, please contact a customer care team member to see if your return is subject. Returns that arrived on time and were as described are subject to a restocking fee.
Items returned to us that were not the result of our error, including items returned to us due to an invalid or incomplete address, will be refunded the original item price less our standard restocking fees.
If the item is returned to us for any of the following reasons, a 15% restocking fee will be applied to your refund total and you will be asked to pay for return shipping:
- Item(s) no longer needed or wanted.
- Item(s) returned to us due to an invalid or incomplete address.
- Item(s) returned to us that were not a result of our error.
You should expect to receive your refund within four weeks of giving your package to the return shipper, however, in many cases you will receive a refund more quickly. This time period includes the transit time for us to receive your return from the shipper (5 to 10 business days), the time it takes us to process your return once we receive it (3 to 5 business days), and the time it takes your bank to process our refund request (5 to 10 business days).
If you need to return an item, please Contact Us with your order number and details about the product you would like to return. We will respond quickly with instructions for how to return items from your order.
Shipping Cost
We'll pay the return shipping costs if the return is a result of our error (you received an incorrect or defective item, etc.). In other cases, you will be responsible for paying for your own shipping costs for returning your item. Shipping costs are non-refundable. If you receive a refund, the cost of return shipping will be deducted from your refund.
Depending on where you live, the time it may take for your exchanged product to reach you, may vary.
If you are shipping an item over $75, you should consider using a trackable shipping service or purchasing shipping insurance. We don’t guarantee that we will receive your returned item.
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