Design and implementation of parallel algorithms for highly
... • Since mid 90s, fundamental heterogeneous parallel algorithms for scientific computing have been designed – Introduced a new type of parameters representing the performance of processors ...
... • Since mid 90s, fundamental heterogeneous parallel algorithms for scientific computing have been designed – Introduced a new type of parameters representing the performance of processors ...
Lecture Notes
... structures that basically do the same thing; which is better? Well… what do we mean by better? Faster? Less space? Easier to code? Easier to maintain? Required for homework? ...
... structures that basically do the same thing; which is better? Well… what do we mean by better? Faster? Less space? Easier to code? Easier to maintain? Required for homework? ...
Lecture2_ProblemSolving
... SOLVING PROBLEM C – STEP 4 Step 4 – Execute the program * Check for any semantic / logic errors ...
... SOLVING PROBLEM C – STEP 4 Step 4 – Execute the program * Check for any semantic / logic errors ...
Lecture Notes (pptx)
... SEARCHING, SORTING, AND ASYMPTOTIC COMPLEXITY Lecture 12 CS2110 – Fall 2009 ...
... SEARCHING, SORTING, AND ASYMPTOTIC COMPLEXITY Lecture 12 CS2110 – Fall 2009 ...
Longest Common Substring with Approximately k Mismatches
... unsuitable to be used as a measure of similarity of two strings: Intuitively, changing one letter must not change the measure of similarity much. To overcome this issue, it is natural to allow the substring to occur in T1 and T2 not exactly but with a small number of mismatches. I Problem 2 (The lon ...
... unsuitable to be used as a measure of similarity of two strings: Intuitively, changing one letter must not change the measure of similarity much. To overcome this issue, it is natural to allow the substring to occur in T1 and T2 not exactly but with a small number of mismatches. I Problem 2 (The lon ...
`Or` S - University of Windsor
... List of previous parsed outputs for any input, paired with appropriate production Length and depth of current parse Before parsing any input if “lookup to Memo table fails” then “perform parsing & update the memo table” else “return the result from table” ...
... List of previous parsed outputs for any input, paired with appropriate production Length and depth of current parse Before parsing any input if “lookup to Memo table fails” then “perform parsing & update the memo table” else “return the result from table” ...
ALGORITHMS AND FLOWCHARTS
... A flowchart consists of a sequence of instructions linked together by arrows to show the order in which the instructions must be carried out. ...
... A flowchart consists of a sequence of instructions linked together by arrows to show the order in which the instructions must be carried out. ...
Input File
... multiplication, and division of f (x) and g (x ) are defined similar to its corresponding operation of the ordinary polynomials, except that all operations should be computed in Z 2 as defined above. For example, ( x 2 x1 ) ( x1 1) x 3 x 2 x 2 x1 x 3 x1 . A polynomial f (x) is prim ...
... multiplication, and division of f (x) and g (x ) are defined similar to its corresponding operation of the ordinary polynomials, except that all operations should be computed in Z 2 as defined above. For example, ( x 2 x1 ) ( x1 1) x 3 x 2 x 2 x1 x 3 x1 . A polynomial f (x) is prim ...
Speeding Up HMM Decoding and Training by Exploiting Sequence
... In this section we obtain an Ω( logk n ) speedup for decoding, and a constant speedup in the case where k > log n. We show how to use the LZ78 [22] (henceforth LZ) parsing to find good substrings and how to use the incremental nature of the LZ parse to compute M (W ) for a good substring W in O(k 3 ...
... In this section we obtain an Ω( logk n ) speedup for decoding, and a constant speedup in the case where k > log n. We show how to use the LZ78 [22] (henceforth LZ) parsing to find good substrings and how to use the incremental nature of the LZ parse to compute M (W ) for a good substring W in O(k 3 ...
fundamentals of algorithms
... • Build solution to recurrence from bottom up. Write an algorithm that starts with base cases and works its way up to the final solution. Dynamic programming algorithms need to store the results of intermediate sub-problems. This is often but not always done with some kind of table. We will now cove ...
... • Build solution to recurrence from bottom up. Write an algorithm that starts with base cases and works its way up to the final solution. Dynamic programming algorithms need to store the results of intermediate sub-problems. This is often but not always done with some kind of table. We will now cove ...
1 Divide and Conquer with Reduce
... to believe that any such algorithms will have to keep a cumulative “sum,” computing each output value by relying on the “sum” of the all values before it. In this lecture, we’ll see a technique that allow us to implement scan in parallel. Let’s talk about another algorithmic technique: contraction. ...
... to believe that any such algorithms will have to keep a cumulative “sum,” computing each output value by relying on the “sum” of the all values before it. In this lecture, we’ll see a technique that allow us to implement scan in parallel. Let’s talk about another algorithmic technique: contraction. ...
algo and flow chart
... A typical programming task can be divided into two phases: Problem solving phase produce ...
... A typical programming task can be divided into two phases: Problem solving phase produce ...
Document
... Subroutine ? is more efficient. This measure is good for all large input sizes In fact, we will not worry about the exact values, but will look at ``broad classes’ of values, or the growth rates Let there be n inputs. If an algorithm needs n basic operations and another needs 2n basic operations, we ...
... Subroutine ? is more efficient. This measure is good for all large input sizes In fact, we will not worry about the exact values, but will look at ``broad classes’ of values, or the growth rates Let there be n inputs. If an algorithm needs n basic operations and another needs 2n basic operations, we ...
slides
... Randomized Quicksort Always output correct answer Takes O(N log N) time on average Likelihood of running O(N log N) time? ...
... Randomized Quicksort Always output correct answer Takes O(N log N) time on average Likelihood of running O(N log N) time? ...
Motif finding
... • E.g., string over alphabet {A,C,G,T} of fixed length l, and allowing up to d mismatches. If AAAA is a motif, and d=1, then AAAT, AATA etc. are also counted as matches to motif. • E.g., string over extended alphabet {A,C,G,T,N} of fixed length l. Here “N” stands for any character (A,C,G,or T.) – If ...
... • E.g., string over alphabet {A,C,G,T} of fixed length l, and allowing up to d mismatches. If AAAA is a motif, and d=1, then AAAT, AATA etc. are also counted as matches to motif. • E.g., string over extended alphabet {A,C,G,T,N} of fixed length l. Here “N” stands for any character (A,C,G,or T.) – If ...
ppt - SFU.ca
... + Identify data problem into computer Problem/task Algorithm program Cat walking in a square? ...
... + Identify data problem into computer Problem/task Algorithm program Cat walking in a square? ...
Chapter 2: Fundamentals of the Analysis of Algorithm
... for any a 1 In particular, 0in 2i = 20 + 21 + ⋯ + 2n = 2n+1 - 1 (2n ) • (ai ± bi ) = ai ± bi cai = cai liuai = limai + m+1iuai ...
... for any a 1 In particular, 0in 2i = 20 + 21 + ⋯ + 2n = 2n+1 - 1 (2n ) • (ai ± bi ) = ai ± bi cai = cai liuai = limai + m+1iuai ...
An Efficient Algorithm for Finding Similar Short Substrings from
... On the other hand, there are several studies for efficient data structures to find similar substrings. The problem is formulated such that, for a given string S, construct a data structure of not a large size such that for any query string Q, substrings of S similar to Q can be found in short time. For ...
... On the other hand, there are several studies for efficient data structures to find similar substrings. The problem is formulated such that, for a given string S, construct a data structure of not a large size such that for any query string Q, substrings of S similar to Q can be found in short time. For ...
Self-Improving Algorithms Nir Ailon Bernard Chazelle Seshadhri Comandur
... Define a permutation to be easy if Aw sorts the perTo sort I, first we search for each xi in the V mutation in 2cn time. Consider some DS that is handled n list using the previous technique. This allows us to by Aw . Then, by Markov S has at least 2 /2 permupartition I into groups G1 < G2 < · · · of ...
... Define a permutation to be easy if Aw sorts the perTo sort I, first we search for each xi in the V mutation in 2cn time. Consider some DS that is handled n list using the previous technique. This allows us to by Aw . Then, by Markov S has at least 2 /2 permupartition I into groups G1 < G2 < · · · of ...
Mouse in a Maze - Bowdoin College
... • An algorithm is not unique!!! • There are many ways to solve a problem • Moreover, given a certain way to solve a problem, there are many ways to express that into pseudocode!! • Etiquette: – Give variables meaningful names – Write explanations/comments of what your code does ...
... • An algorithm is not unique!!! • There are many ways to solve a problem • Moreover, given a certain way to solve a problem, there are many ways to express that into pseudocode!! • Etiquette: – Give variables meaningful names – Write explanations/comments of what your code does ...
practical stability boundary
... Theorem (Unstable manifold of type-1 equilibrium point) : Let xs1 be a stable e.p. of the gradient system (2) and xd be a type-1 e.p. on the practical stability boundary Ap(xs). Assume that there exist e and d such that |f (x)| > e unless x {x : f (x) =0}. If every e.p. of (1) is hyperbolic and ...
... Theorem (Unstable manifold of type-1 equilibrium point) : Let xs1 be a stable e.p. of the gradient system (2) and xd be a type-1 e.p. on the practical stability boundary Ap(xs). Assume that there exist e and d such that |f (x)| > e unless x {x : f (x) =0}. If every e.p. of (1) is hyperbolic and ...
Longest Common Substring
... different Hashing techniques such as roller hash in conjunction with above techniques to aim to see if there could be any improvement in time complexity and reduce basic operations from current levels. 5. Look at problems that can be solved using Fast Exact Algorithms (Heuristic) for the Closest Str ...
... different Hashing techniques such as roller hash in conjunction with above techniques to aim to see if there could be any improvement in time complexity and reduce basic operations from current levels. 5. Look at problems that can be solved using Fast Exact Algorithms (Heuristic) for the Closest Str ...
(5 points) Problem 2c Solution (5 points)
... distinguishable so that each of the O(2k ) states are needed: We’ve already stated that each node represents the equivalence class of the string it took to get to that node as a direct path down the tree from the start state. Now we just must show that each of these strings is distinguishable. In fa ...
... distinguishable so that each of the O(2k ) states are needed: We’ve already stated that each node represents the equivalence class of the string it took to get to that node as a direct path down the tree from the start state. Now we just must show that each of these strings is distinguishable. In fa ...
Lecture 11: Algorithms - United International College
... • Assume the different operations used in an algorithm take the same time, which simplifier the analysis. • Determine whether it is practical to use a particular algorithm to solve a problem as the size of the input increase • Compare two algorithms to determine which is more efficient as the size o ...
... • Assume the different operations used in an algorithm take the same time, which simplifier the analysis. • Determine whether it is practical to use a particular algorithm to solve a problem as the size of the input increase • Compare two algorithms to determine which is more efficient as the size o ...