ECS 120: Intoduction to the Theory of Computation Homework 8
Due: Friday, May 30, 2003 at the beginning of class
Problem 1. Classify the following languages as decidable, recognizable (but not decidab
Department of Computer Science COMPSCI 350 Assignment 2 Due: May 15
1. Show that ALLDFA = cfw_ B | B is DFA and L(B ) = is decidable. [10 marks] Solution: The following Turing machine decides ALLDFA
CS5371 Theory of Computation
Homework 4 Due: 3:20 pm, December 21, 2007 (before class) 1. (20%) Let T = cfw_ M | M is a TM that accepts wR whenever it accepts w. Show that T is undecidable. 2. (15%) I
CS5371 Theory of Computation
Homework 4 (Suggested Solution) 1. Ans. Suppose on the contrary that T is decidable. Let R be its decider. Then, the following TM Q is a decider for AT M : Q = On input M
The University of Nottingham
School of Computer Science and IT
LECTURE 5 TURING MACHINES PART 1
Overview
The Turing Machine Model Examples of Turing Machine
The Turing Machine Model
The Turing machin
CS5371 Theory of Computation
Homework 3 (Suggested Solution) 1. Ans. The language cfw_0n 1n 2n | n 1 is not context-free, so that it cannot be recognized by a 1-PDA. However, we can easily design a 2-
Introduction to the Theory of Computation, Michael Sipser
Chapter 0: Introduction
Automata, Computability and Complexity: They are linked by the question: o What are the fundamental capabilities and l
Incomputable Languages
Zeph Grunschlag
1
Announcements
HW Due Tuesday
2
Agenda
Incomputable Languages Existence Proof Explicit undecidable language: ATM Unrecognizable Language Neither recognizable n
Design & Analysis of Algorithms - HW 4
Submission date: 22.01.2009 14:00 1. A truck owner is performing a delivery from Haifa to Eilat. The truck has three containers in the front, middle and back of
Density Estimation
Ahmad Ali Abin
Why Density Function?
The Bayesian Learning needs to know P(x|Wi)
(Likelihood) to make decisions about P(Wi|xobserved)
(Posteriori).
P(x|w1)
w1
P(x|w2)
Xobserved=160
Non Linear Classifiers
The XOR problem
x1
x2
XOR
Class
0
0
0
B
0
1
1
A
1
0
1
A
1
1
0
B
1
There is no single line (hyperplane) that separates
class A from class B. On the contrary, AND and OR
operati
Ahmad Ali Abin
Basic concepts
K-means algorithm
Representation of clusters
Hierarchical clustering
Distance functions
Data standardization
Handling mixed attributes
Which clustering algorithm to use?
Bayesian Decision Theory
Ahmad Ali Abin
Probability
In some process, several outcomes are possible.
When the process is repeated a large number of
times, each outcome occurs with a characteristic
rel
Introduction to Pattern
Recognition
Ahmad Ali Abin
2015
1
Human Perception
Humans have developed highly sophisticated skills for
sensing their environment and taking actions according to
what they ob
Introduction to
Support Vector Machine
Ahmad Ali Abin
Linear classifiers: Which Hyperplane?
Lots of possible solutions for a, b, c.
Some methods find a separating hyperplane,
but not the optimal one
LINEAR CLASSIFIERS
The Problem: Consider a two class task with 1, 2
g ( x) w x w0 0
T
w1 x1 w2 x2 . wl xl w0
Assume x1 , x 2 on the decision hyperplane:
0 w x1 w0 w x 2 w0
T
T
w ( x1 x 2 ) 0 x1 , x
Decision-Tree Learning
Introduction
ID3
Attribute selection
Entropy, Information, Information Gain
Gain Ratio
C4.5
Decision Trees
TDIDT: Top-Down Induction of Decision Trees
Numeric Values
Missing Val
Model Evaluation and Selection
1
Model Evaluation and Selection
Evaluation metrics: How can we measure accuracy? Other
metrics to consider?
Use test set of class-labeled tuples instead of training set
CS5371 Theory of Computation
Homework 3 (Solution) 1. Show that single-tape TMs that cannot write on the portion of the tape containing the input string recognize only regular languages. Answer: Let M
CS5371 Theory of Computation
Homework 3 Due: 2:10 pm, December 4, 2007 (before class) 1. Let k -PDA be a pushdown automaton that has k stacks. Thus a 0-PDA is an NFA and a 1-PDA is a conventional PDA.
Selected exercises with solutions on Computability theory in the eld of the
Theory of computation
Part 8
Amir Semmo
Extracted from former homeworks in the course "Theory of computation II", Summer ter
Selected exercises with solutions on Computability theory in the eld of the
Theory of computation
Part 7
Amir Semmo
Extracted from former homeworks in the course "Theory of computation II", Summer ter
Selected exercises with solutions on Computability theory in the eld of the
Theory of computation
Part 6
Amir Semmo
Extracted from former homeworks in the course "Theory of computation II", Summer ter
Selected exercises with solutions on Computability theory in the eld of the
Theory of computation
Part 5
Amir Semmo
Extracted from former homeworks in the course "Theory of computation II", Summer ter
Selected exercises with solutions on Computability theory in the eld of the
Theory of computation
Part 4
Amir Semmo
Extracted from former homeworks in the course "Theory of computation II", Summer ter
Selected exercises with solutions on Computability theory in the eld of the
Theory of computation
Part 3
Amir Semmo
Extracted from former homeworks in the course "Theory of computation II", Summer ter
Selected exercises with solutions on Computability theory in the eld of the
Theory of computation
Part 2
Amir Semmo
Extracted from former homeworks in the course "Theory of computation II", Summer ter
Selected exercises with solutions on Computability theory in the eld of the
Theory of computation
Part 1
Amir Semmo
Extracted from former homeworks in the course "Theory of computation II", Summer ter