If you have any questions, you are always welcome to contact us. We'll get back to you as soon as possible, withing 24 hours on weekdays.
Customer service
All questions about your order, return and delivery must be sent to our customer service team by e-mail at yourstore@yourdomain.com
Sale & Press
If you are interested in selling our products, need more information about our brand or wish to make a collaboration, please contact us at press@yourdomain.com
Help
If you have any questions, you are always welcome to contact us. We'll get back to you as soon as possible, withing 24 hours on weekdays.
Customer service
All questions about your order, return and delivery must be sent to our customer service team by e-mail at yourstore@yourdomain.com
Sale & Press
If you are interested in selling our products, need more information about our brand or wish to make a collaboration, please contact us at press@yourdomain.com
Neural networks usually work adequately on small problems but can run into trouble when they are scaled up to problems involving large amounts of input data. Circuit Complexity and Neural Networks addresses the important question of how well neural networks scale that is, how fast the computation time and number of neurons grow as the problem size increases. It surveys recent research in circuit complexity (a robust branch of theoretical computer science) and applies this work to a theoretical understanding of the problem of scalability. Most research in neural networks focuses on learning, yet it is important to understand the physical limitations of the network before the resources needed to solve a certain problem can be calculated. One of the aims of this book is to compare the complexity of neural networks and the complexity of conventional computers, looking at the computational ability and resources (neurons and time) that are a necessary part of the foundations of neural network learning. Circuit Complexity and Neural Networks contains a significant amount of background material on conventional complexity theory that will enable neural network scientists to learn about how complexity theory applies to their discipline, and allow complexity theorists to see how their discipline applies to neural networks.
⚠️ WARNING (California Proposition 65):
This product may contain chemicals known to the State of California to cause cancer,
birth defects, or other reproductive harm.
<div class="dynamic-checkout__content" id="dynamic-checkout-cart" data-shopify="dynamic-checkout-cart"> <shopify-accelerated-checkout-cart wallet-configs="[{"supports_subs":true,"supports_def_opts":false,"name":"shop_pay","wallet_params":{"shopId":73758048501,"merchantName":"Ergodebooks","personalized":true}},{"supports_subs":false,"supports_def_opts":false,"name":"amazon_pay","wallet_params":{"checkoutLanguage":"en_US","ledgerCurrency":"USD","placement":"Cart","sandbox":false,"merchantId":"A1G1ZY975O1T6J","productType":"PayAndShip","design":"C0002"}},{"supports_subs":true,"supports_def_opts":false,"name":"paypal","wallet_params":{"shopId":73758048501,"countryCode":"US","merchantName":"Ergodebooks","phoneRequired":true,"companyRequired":false,"shippingType":"shipping","shopifyPaymentsEnabled":true,"hasManagedSellingPlanState":false,"requiresBillingAgreement":false,"merchantId":"L873BZSC9NMQS","sdkUrl":"https://www.paypal.com/sdk/js?components=buttons\u0026commit=false\u0026currency=USD\u0026locale=en_US\u0026client-id=AbasDhzlU0HbpiStJiN1KRJ_cNJJ7xYBip7JJoMO0GQpLi8ePNgdbLXkC7_KMeyTg8tnAKW4WKrh9qmf\u0026merchant-id=L873BZSC9NMQS\u0026intent=authorize"}}]" access-token="c0f52a66b386e9fa5c0ab4c2febc737c" buyer-country="US" buyer-locale="en" buyer-currency="USD" shop-id="73758048501" cart-id="a69144bb2152919cced04c03c4fd0909" enabled-flags="["d6d12da0","32a68cd0","a1c7ccbe","ce346acf","c0874428"]" > <div class="wallet-button-wrapper"> <ul class='wallet-cart-grid wallet-cart-grid--skeleton' role="list" data-shopify-buttoncontainer="true"> <li data-testid='grid-cell' class='wallet-cart-button-container'><div class='wallet-cart-button wallet-cart-button__skeleton' role='button' disabled aria-hidden='true'> </div></li><li data-testid='grid-cell' class='wallet-cart-button-container'><div class='wallet-cart-button wallet-cart-button__skeleton' role='button' disabled aria-hidden='true'> </div></li><li data-testid='grid-cell' class='wallet-cart-button-container'><div class='wallet-cart-button wallet-cart-button__skeleton' role='button' disabled aria-hidden='true'> </div></li> </ul> </div> </shopify-accelerated-checkout-cart> <small id="shopify-buyer-consent" class="hidden" aria-hidden="true" data-consent-type="subscription"> One or more of the items in your cart is a recurring or deferred purchase. By continuing, I agree to the <span id="shopify-subscription-policy-button">cancellation policy</span> and authorize you to charge my payment method at the prices, frequency and dates listed on this page until my order is fulfilled or I cancel, if permitted. </small> </div>
Stay in the know
Subscribe to our newsletter and stay updated on latest offers, discounts and events near you.
For MAP (Minimum Advertised Price) violations and Intellectual Property (IP) or Trademark concerns, please contact:
support@ergodebooks.com
⚠️ California Proposition 65 Warning: Some products sold on this website may expose you to chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm. For more information, visit www.P65Warnings.ca.gov.