In lecture, we discussed training a neural net fw (x) for regression by minimizing the MSE...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
In lecture, we discussed training a neural net fw (x) for regression by minimizing the MSE loss L(w) = n 72 Σ(fw (Xi) - Yi) ², i=1 where (x1, y₁),..., (Xn, Yn) are the training examples. However, a large neural net can easily fit irregularities in the training set, leading to poor generalization performance. One way to improve generalization performance is to minimize a regularized loss function 1 La(w) = L(w) + A||w||², where A> 0 is a user-specified constant. The regularizer ||w||2 assigns a larger penalty to w with larger norms, thus reducing the network's flexibility to fit irregu- larities in the training set. We can also interpret the regularizer as a way to encode our preference for simpler models. Show that a gradient descent step on Lx (w) is equivalent to first multiplying w by a constant, and then moving along the negative gradient direction of the original MSE loss L(w). In lecture, we discussed training a neural net fw (x) for regression by minimizing the MSE loss L(w) = n 72 Σ(fw (Xi) - Yi) ², i=1 where (x1, y₁),..., (Xn, Yn) are the training examples. However, a large neural net can easily fit irregularities in the training set, leading to poor generalization performance. One way to improve generalization performance is to minimize a regularized loss function 1 La(w) = L(w) + A||w||², where A> 0 is a user-specified constant. The regularizer ||w||2 assigns a larger penalty to w with larger norms, thus reducing the network's flexibility to fit irregu- larities in the training set. We can also interpret the regularizer as a way to encode our preference for simpler models. Show that a gradient descent step on Lx (w) is equivalent to first multiplying w by a constant, and then moving along the negative gradient direction of the original MSE loss L(w).
Expert Answer:
Answer rating: 100% (QA)
To show that a gradient descent step on Lw is equivalent to first multiplying w by a constant and th... View the full answer
Related Book For
Posted Date:
Students also viewed these computer engineering questions
-
For a uniformly distributed load on a distribution feeder, show that the total voltage drop along the full length of the line can be represented by the expression Is.z(l/2) where Isis the rms current...
-
For the following accounts used by a retail business, determine the normal balance of each account (i.e., does the account normally have a debit or a credit balance?). Debit Credit Cost of Goods Sold...
-
For a uniformly distributed load on a distribution feeder, show that the total voltage drop along the full length of the line can be represented by the expression Is.z(l/2) where Isis the rms current...
-
Rand Medical manufactures lithotripters. Lithotripsy uses shock waves instead of surgery to eliminate kidney stones. Physicians' Leasing purchased a lithotripter from Rand for $2,000,000 and leased...
-
Consider the measurable space ((, A) and let X be defined by ni=1 i IAi or X = ni=1 i IAi, where ai ( ( are distinct for all i and {A1,..., An}or {Ai, i 1} are partitions of (. Then show that X is a...
-
Can you think of one example where total assets is larger than total equities (that is, the sum of liabilities plus equity)?
-
In 2015, George Wright started the Old Oregon Wood Store to manufacture Old Oregon tables. Each table is carefully constructed by hand using the highest-quality oak. Old Oregon tables can support...
-
On October 15, 2012, the board of directors of Ensor Materials Corporation approved a stock option plan for key executives. On January 1, 2013, 20 million stock options were granted, exercisable for...
-
2. Discuss two (2) of the four Functional-level strategies (Efficiency,Quality,Innovation,Customer Resp.) - what each is, how it creates customer value and contributes to sustainable competitive...
-
Pecos Company acquired 100 percent of Suaro's outstanding stock for $1,450,000 cash on 1/1/2014, when Suaro had the following balance sheet: Cash - $37,000 Liabilities - ($422,000) Receivables -...
-
How might you design a research project that investigates the extent of managerial control over the selection of the firm's technologies? What sort of industries would be particularly suitable for...
-
If you are a Red Sox fan, do you want the Yankees to be able to finance a new stadium through the use of municipal bonds? Explain.
-
Suppose the IOC announced that it would hold all of its Summer Games in Athens and all of its Winter Games in Sapporo. What is the likely impact on the monopoly power of the IOC, the IOCs ability to...
-
With two teams in the NFL, NBA, and MLB, what percentage of sports fans in Los Angeles change their rooting interest from year to year?
-
Which circuit do we need for the transition from continuous time to discrete time?
-
Define the term signal!
-
14. A company decides to begin making and selling computers. The price function is p=-60x + 2500, where x is the number of computers that can be sold at a price of p dollars per unit. Additionally,...
-
Assume you are the accountant for Catalina Industries. John Catalina, the owner of the company, is in a hurry to receive the financial statements for the year ended December 31, 20X1, and asks you...
-
The boiling point of bromine is 58.8C. What is this temperature in degrees Fahrenheit?
-
Perform the operation and write the result in standard form. 1. (6 4i) + (9 + i) 2. (7 2i) (3 8i) 3. 3i(2 + 5i) 4. (4 + i)(3 10i)
-
Find all solutions of the equation in the interval [0, 2. 1. Sin (x + / 4) - sin (x - / 4) = 1 2. Cos (x + / 6) - cos (x - / 6) = 1
-
A stirrer-container assembly contains a certain amount of fluid. The stirrer performs \(3 \mathrm{hp}\) work on the system. The heat developed by stirring is \(4000 \mathrm{~kJ} / \mathrm{h}\) and is...
-
A system consisting of a gas confined in a cylinder undergoes a series of processes shown in Fig. 2.11. During the process A-1-B, \(70 \mathrm{~kJ}\) of heat is added while it does 45 \(\mathrm{kJ}\)...
-
Derive the mathematical expression of the first law of thermodynamics.
Study smarter with the SolutionInn App