It is easy to compute the change in the dimension ality of the feature space, when...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
It is easy to compute the change in the dimension ality of the feature space, when a kernel is defined by a polynomial of the type (p+1)2 where p is the dot product in the original feature space. That is, K(x, z) = (xz + 1)². Consider the more general case: given vectors x, z = R", and the constant d, define K(x, z) = (xz+1)d. This kernel corresponds to an implicit mapping o: R" → Rm, where m>>n (that is, m is much greater than n). Find an equation/expression relating m, n and d. Hint: Consider successively different values of n, for example n = 2,3,4 and d, for example d = 2, 3.
Expert Answer:
Answer rating: 100% (QA)
To find an equation lexpression relating m nand d we ... View the full answer
Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
Posted Date:
Students also viewed these mathematics questions

At Bigbrain University, the typical grade distribution is A, 15%; B, 25%; C, 45%; D, 10%; F, 5%. The grades given by two professors are shown here. For each one (separately), test the null hypothesis...

A British firm and a U.S. Corporation each wish to enter into a currency swap hedging agreement. The British firm is receiving U.S. dollars from sales in the U.S. but wants pounds. The U.S. firm is...

Describe the impact of mobile computing upon your business and project its impact in the future. Do the same for social media. In both cases, when considering impacts, consider how each technology...

Briefly describe the main features of Medicare and Medicaid, indicating how each is financed.

What is the difference between the lytic pathway and the lysogenic pathway?

A serial leading 1s detector is to be designed. A binary integer of arbitrary length is presented to the serial leading 1s detector, most significant bit first, on input X. When a given bit is...

Martinez Co. reported the following current year data for its only product. The company uses a periodic inventory system, and its ending inventory consists of 150 units 50 from each of the last...

The price of four (4) commodities in the year 2015 and 2020 are shown in the following table. Commodities Price in 2015 (BWP) Price in 2020 (BWP) Milk 15 22 Sugar 5 11 Rice 11 16 Cement 40 72 Find...

Many of the companies on Fortune magazines list of most admired companies are also on its list of most profitable ones. Some people say this proves that high social capital translates into profits....

The bracket is supported by 1/2in.diameter pins at A and B (the pin at B fits in the 45 slot in the bracket). Neglecting friction, determine the shear stresses in the pins, assuming single shear....

You are the revenue manager for a hotel in Charlotte, NC with 400 rooms. You've just received an RFP from a group asking for a block of rooms for a threeday meeting; specifically, they are asking...

Divorce is expensive! Not only does the couple have to divide assets while doubling living costs, they are also going to incur legal costs and fees. Many couples try to save money on legal expenses....

What is the basis of digital assets received by a taxpayer as payment for goods and services? A) The fair market value of the digital assets in U.S. dollars as of the date of receipt. B) The fair...

To avoid costly EITC errors involving a child failing to meet the qualifying child requirements, a tax preparer must find out all of the following concerning the child EXCEPT: A) whether the child...

What is the basis of digital assets received by a taxpayer as payment for goods and services? A) The fair market value of the digital assets in U.S. dollars as of the date of receipt. B) The fair...

Internal Revenue Code for taxdeductible items for a business owner such as Office expense Internet and phone bills Health insurance premium Meal Travel Vehicle expenses Startup cost Retirement plan...

A horizontal annulus with inside and outside diameters of 8 and 10 cm, respectively, contains liquid water. The inside and outside surfaces are maintained at 40 and 20oC, respectively. Calculate the...

The group G contains a subgroup P of order 7 such that the smallest normal subgroup of G containing P is G itself. ex = x and (gig)x gi(gzx).

A matrix (a ij ) Mat n R is said to be Prove that the set of all diagonal matrices is a subring of Mat n R which is (ring) isomorphic to R x x R(n factors). Show that the set T of all triangular...

Let be a short exact sequence of left Rmodules and D a right Rmodule. Then 1s a short exact sequence of abelian groups under any one of the following hypotheses: (a) (b) R has an identity and Dis a...

For a derivative V(X T ) on an underlying X T as seen at time T, its value is given by V(X t ) = e r (T t) E[V(X T )] = e r (T t) V(x)p(x)dx, where p() is the probability density function. By...

Derive Dupires formula in Section 5.1.2 in terms of put prices rather than call prices. Section 5.1.2, More interesting is the question of how to recover (St, t) to fit all given market prices. Let...

In the 1990s, the world price of wool decreased by about 30 percent, and prices have remained relatively low since then. Based on the law of supply, we would expect the quantity of wool supplied from...