This document discusses graph traversal techniques for searching graphs. It describes two common techniques: breadth-first search (BFS) and depth-first search (DFS). BFS uses a queue data structure to visit all adjacent vertices of the starting vertex before moving to the next level, producing a spanning tree. DFS uses a stack, visiting all vertices reachable from the starting point before backtracking, also producing a spanning tree. The document outlines the step-by-step process for implementing BFS and DFS on a graph.
Subset sum problem is to find subset of elements that are selected from a given set whose sum adds up to a given number K. We are considering the set contains non-negative values. It is assumed that the input set is unique (no duplicates are presented).
Subset sum problem is to find subset of elements that are selected from a given set whose sum adds up to a given number K. We are considering the set contains non-negative values. It is assumed that the input set is unique (no duplicates are presented).
Cohen-Sutherland Line Clipping Algorithm:
When drawing a 2D line on screen, it might happen that one or both of the endpoints are outside the screen while a part of the line should still be visible. In that case, an efficient algorithm is needed to find two new endpoints that are on the edges on the screen, so that the part of the line that's visible can now be drawn. This way, all those points of the line outside the screen are clipped away and you don't need to waste any execution time on them.
A good clipping algorithm is the Cohen-Sutherland algorithm for this solution.
By,
Maruf Abdullah Rion
Artificial Intelligence: Introduction, Typical Applications. State Space Search: Depth Bounded
DFS, Depth First Iterative Deepening. Heuristic Search: Heuristic Functions, Best First Search,
Hill Climbing, Variable Neighborhood Descent, Beam Search, Tabu Search. Optimal Search: A
*
algorithm, Iterative Deepening A*
, Recursive Best First Search, Pruning the CLOSED and OPEN
Lists
Cohen-Sutherland Line Clipping Algorithm:
When drawing a 2D line on screen, it might happen that one or both of the endpoints are outside the screen while a part of the line should still be visible. In that case, an efficient algorithm is needed to find two new endpoints that are on the edges on the screen, so that the part of the line that's visible can now be drawn. This way, all those points of the line outside the screen are clipped away and you don't need to waste any execution time on them.
A good clipping algorithm is the Cohen-Sutherland algorithm for this solution.
By,
Maruf Abdullah Rion
Artificial Intelligence: Introduction, Typical Applications. State Space Search: Depth Bounded
DFS, Depth First Iterative Deepening. Heuristic Search: Heuristic Functions, Best First Search,
Hill Climbing, Variable Neighborhood Descent, Beam Search, Tabu Search. Optimal Search: A
*
algorithm, Iterative Deepening A*
, Recursive Best First Search, Pruning the CLOSED and OPEN
Lists
Search algorithms are fundamental to artificial intelligence (AI) because they play a crucial role in solving complex problems, making decisions, and finding optimal solutions in various AI applications.
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Empowering the Data Analytics Ecosystem: A Laser Focus on Value
The data analytics ecosystem thrives when every component functions at its peak, unlocking the true potential of data. Here's a laser focus on key areas for an empowered ecosystem:
1. Democratize Access, Not Data:
Granular Access Controls: Provide users with self-service tools tailored to their specific needs, preventing data overload and misuse.
Data Catalogs: Implement robust data catalogs for easy discovery and understanding of available data sources.
2. Foster Collaboration with Clear Roles:
Data Mesh Architecture: Break down data silos by creating a distributed data ownership model with clear ownership and responsibilities.
Collaborative Workspaces: Utilize interactive platforms where data scientists, analysts, and domain experts can work seamlessly together.
3. Leverage Advanced Analytics Strategically:
AI-powered Automation: Automate repetitive tasks like data cleaning and feature engineering, freeing up data talent for higher-level analysis.
Right-Tool Selection: Strategically choose the most effective advanced analytics techniques (e.g., AI, ML) based on specific business problems.
4. Prioritize Data Quality with Automation:
Automated Data Validation: Implement automated data quality checks to identify and rectify errors at the source, minimizing downstream issues.
Data Lineage Tracking: Track the flow of data throughout the ecosystem, ensuring transparency and facilitating root cause analysis for errors.
5. Cultivate a Data-Driven Mindset:
Metrics-Driven Performance Management: Align KPIs and performance metrics with data-driven insights to ensure actionable decision making.
Data Storytelling Workshops: Equip stakeholders with the skills to translate complex data findings into compelling narratives that drive action.
Benefits of a Precise Ecosystem:
Sharpened Focus: Precise access and clear roles ensure everyone works with the most relevant data, maximizing efficiency.
Actionable Insights: Strategic analytics and automated quality checks lead to more reliable and actionable data insights.
Continuous Improvement: Data-driven performance management fosters a culture of learning and continuous improvement.
Sustainable Growth: Empowered by data, organizations can make informed decisions to drive sustainable growth and innovation.
By focusing on these precise actions, organizations can create an empowered data analytics ecosystem that delivers real value by driving data-driven decisions and maximizing the return on their data investment.
Techniques to optimize the pagerank algorithm usually fall in two categories. One is to try reducing the work per iteration, and the other is to try reducing the number of iterations. These goals are often at odds with one another. Skipping computation on vertices which have already converged has the potential to save iteration time. Skipping in-identical vertices, with the same in-links, helps reduce duplicate computations and thus could help reduce iteration time. Road networks often have chains which can be short-circuited before pagerank computation to improve performance. Final ranks of chain nodes can be easily calculated. This could reduce both the iteration time, and the number of iterations. If a graph has no dangling nodes, pagerank of each strongly connected component can be computed in topological order. This could help reduce the iteration time, no. of iterations, and also enable multi-iteration concurrency in pagerank computation. The combination of all of the above methods is the STICD algorithm. [sticd] For dynamic graphs, unchanged components whose ranks are unaffected can be skipped altogether.
Adjusting primitives for graph : SHORT REPORT / NOTESSubhajit Sahu
Graph algorithms, like PageRank Compressed Sparse Row (CSR) is an adjacency-list based graph representation that is
Multiply with different modes (map)
1. Performance of sequential execution based vs OpenMP based vector multiply.
2. Comparing various launch configs for CUDA based vector multiply.
Sum with different storage types (reduce)
1. Performance of vector element sum using float vs bfloat16 as the storage type.
Sum with different modes (reduce)
1. Performance of sequential execution based vs OpenMP based vector element sum.
2. Performance of memcpy vs in-place based CUDA based vector element sum.
3. Comparing various launch configs for CUDA based vector element sum (memcpy).
4. Comparing various launch configs for CUDA based vector element sum (in-place).
Sum with in-place strategies of CUDA mode (reduce)
1. Comparing various launch configs for CUDA based vector element sum (in-place).
Opendatabay - Open Data Marketplace.pptxOpendatabay
Opendatabay.com unlocks the power of data for everyone. Open Data Marketplace fosters a collaborative hub for data enthusiasts to explore, share, and contribute to a vast collection of datasets.
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1. GRAPH TRAVERSALS IN DATA STRUCTURE
BY
D.SEETHALAKSHMI
ASSISTANT PROFESSOR
BON SECOURS COLLEGE FOR WOM EN
2. GRAPH TRAVERSALS
Graph traversal is technique used for searching a vertex in a graph. The graph traversal
is also used to decide the order of vertices to be visit in the search process.
A graph traversal finds the edges to be used in the search process without creating
loops that means using graph traversal we visit all vertices of graph without getting
into looping path.
There are two graph traversal techniques and they are as follows...
BFS (breadth first search)
DFS (depth first search)
3. BFS (Breadth First Search)
BFS traversal of a graph, produces a spanning tree as final result.
Spanning tree is a graph without any loops.
We use queue data structure with maximum size of total number of vertices in the
graph to implement BFS traversal of a graph.
We use the following steps to implement BFS traversal.
Step 1: Define a queue of size total number of vertices in the graph.
Step 2: Select any vertex as starting point for traversal. Visit that vertex and insert it
into the queue.
4. Step 3: Visit all the adjacent vertices of the vertex which is at front of the queue which is
not visited and insert them into the queue.
Step 4: When there is no new vertex to be visit from the vertex at front of the queue then
delete that vertex from the queue.
Step 5: Repeat step 3 and 4 until queue becomes empty.
Step 6: When queue becomes empty, then produce final spanning tree by removing
unused edges from the graph.
5.
6.
7. DFS (DEPTH FIRST SEARCH)
DFS traversal of a graph, produces a spanning tree as final result. Spanning tree is a
graph without any loops.
We use stack data structure with maximum size of total number of vertices in the graph
to implement DFS traversal of a graph.
We use the following steps to implement DFS traversal...
Step 1: define a stack of size total number of vertices in the graph.
Step 2: select any vertex as starting point for traversal. Visit that vertex and push it on to
the stack.
8. Step 3: visit any one of the adjacent vertex of the vertex which is at top of the stack
which is not visited and push it on to the stack.
Step 4: repeat step 3 until there are no new vertex to be visit from the vertex on top of the
stack.
Step 5: when there is no new vertex to be visit then use back tracking and pop one
vertex from the stack.
Step 6: repeat steps 3, 4 and 5 until stack becomes empty.
Step 7: when stack becomes empty, then produce final spanning tree by removing unused
edges from the graph.
Back tracking is coming back to the vertex from which we came to current vertex.