Algorithmic problems - PowerPoint PPT Presentation


Understanding Algorithmic Thinking: Key Concepts and Importance

Algorithmic thinking is a crucial skill that involves problem-solving through precisely defined instructions. This competency, applicable beyond computing, entails analyzing problems, identifying steps to solve them, and designing efficient algorithms. The importance of algorithmic thinking lies in

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Understanding the Formulation of Hypothesis and Research Problem Definition

Research problems arise from situations requiring solutions, faced by individuals, groups, organizations, or society. Researchers define research problems through questions or issues they aim to answer or solve. Various sources such as intuitions, research studies, brainstorming sessions, and consul

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Understanding the Power of Decomposition in Problem Solving

Learn about the concept of decomposition and its importance in problem-solving scenarios in both real-life and Computer Science. Discover how breaking down complex problems into manageable sub-problems can lead to efficient solutions. Explore how decomposition aligns with algorithmic thinking and en

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HotFuzz: Discovering Algorithmic Denial-of-Service Vulnerabilities

A detailed exploration of algorithmic complexity bugs and insight into distributed micro-fuzzing methods. The study uncovers vulnerabilities through guided micro-fuzzing approaches, emphasizing the importance of AC bug detection and fuzz testing techniques such as seed inputs, fuzz observations, and

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Understanding the Right to an Explanation in GDPR and AI Decision Making

The paper delves into the necessity for Explainable AI driven by regulations such as the GDPR, which mandates explanations for algorithmic decisions. It discusses the debate surrounding the existence of a legally binding right to explanation and the complexities of accommodating algorithmic machines

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Submodular Maximization Algorithms Overview

This article discusses deterministic and combinatorial algorithms for submodular maximization, focusing on their applications in various fields such as combinatorics, machine learning, image processing, and algorithmic game theory. It covers key concepts like submodularity, examples of submodular op

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Evolution of Algorithms and Computer Science Through History

The history of algorithms and algorithmic thinking dates back to ancient times, with the development of general-purpose computational machines by Charles Babbage in the 19th century marking a significant advancement. The term "computer science" emerged in 1959, encompassing theoretical computer scie

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Computational Thinking, Algorithms & Programming Overview

This unit covers key concepts in computational thinking, including decomposition, abstraction, and algorithmic thinking. Decomposition involves breaking down complex problems, abstraction focuses on identifying essential elements, and algorithmic thinking is about defining clear instructions to solv

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Understanding Algorithmic Thinking in Digital Systems

Explore the application of algorithmic thinking in digital systems through the journey of Mike Clapper, the Executive Director of AMT. Learn about recognizing patterns in data, creating algorithms to solve problems, and utilizing information systems creatively. Enhance your knowledge of digital syst

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Insights into Advanced Algorithmic Problems

Delve into discussions surrounding complex algorithmic challenges, such as the limitations in solving the 3-SAT problem within specific time bounds, the Exponential Time Hypothesis, proving lower bounds for algorithms in various scenarios, and exploring approximation ratios in algorithm design. Thes

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Divide and Conquer Algorithm Explained

Divide and Conquer algorithm involves dividing a problem into smaller sub-problems, solving them, and combining the solutions to solve the original problem efficiently. The concept is explained through examples of finding maximum and minimum elements in a set, and a detailed algorithmic approach is

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Exploring the Impact of Randomness on Planted 3-Coloring Models

In this study by Uriel Feige and Roee David from the Weizmann Institute, the effect of randomness on planted 3-coloring models is investigated. The research delves into the NP-hard nature of 3-coloring problems, introducing a hosted coloring framework that involves choices like the host graph and th

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Exploring Proof Complexity: The Basics, Achievements, and Challenges

Delve into the intricacies of proof complexity, covering propositional, algebraic, and semi-algebraic proof systems, lower bound methods, and algorithmic implications. Discover fundamental connections to complexity theory and open problems in the field.

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Mathematical Analysis of Algorithms in CMPE371 - Fall 2023-2024

Explore the mathematical analysis of algorithms in CMPE371 for Fall 2023-2024, focusing on non-recursive and recursive algorithms. Learn how to analyze non-recursive algorithms by deciding on input size parameters, identifying basic operations, and simplifying summations. Dive into recursive algorit

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Insights into Recent Progress on Sampling Problems in Convex Optimization

Recent research highlights advancements in solving sampling problems in convex optimization, exemplified by works by Yin Tat Lee and Santosh Vempala. The complexity of convex problems, such as the Minimum Cost Flow Problem and Submodular Minimization, are being unraveled through innovative formulas

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Sketching as a Tool for Algorithmic Design by Alex Andoni - Overview

Utilizing sketching in algorithmic design, Alex Andoni from Columbia University explores methodologies such as succinct efficient algorithms, dimension reduction, sampling, metric embeddings, and more. The approach involves numerical linear algebra, similarity search, and geometric min-cost matching

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Algorithmic Issues in Tracking: A Deep Dive into Mean Shift, EM, and Line Fitting

Delve into algorithmic challenges in tracking tasks, exploring techniques like mean shift, Expectation-Maximization (EM), and line fitting. Understand the complexities of differentiating outliers and inliers, with a focus on segregating points into best-fit line segments.

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Understanding Greedy Algorithms in Algorithmic Design

Greedy algorithms in algorithmic design involve making the best choice at each step to tackle large, complex problems by breaking them into smaller sub-problems. While they provide efficient solutions for some problems, they may not always work, especially in scenarios like navigating one-way street

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Understanding Signatures, Commitments, and Zero-Knowledge in Lattice Problems

Explore the intricacies of lattice problems such as Learning With Errors (LWE) and Short Integer Solution (SIS), and their relation to the Knapsack Problem. Delve into the hardness of these problems and their applications in building secure cryptographic schemes based on polynomial rings and lattice

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Enhancing Algorithmic Team Formation Through Stakeholder Engagement

Integrating stakeholder voices is crucial in algorithmic team formation to ensure a positive team experience, quality outcomes, and high performance. This research explores learner-centered approaches and considers various team formation methods, highlighting their strengths and weaknesses in educat

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Understanding Brouwer's Fixed Point Theorem and Nash's Proof in Algorithmic Game Theory

Explore the foundational theorems of Brouwer and Nash in Algorithmic Game Theory. Dive into Brouwer's Fixed Point Theorem, showcasing the existence of fixed points in continuous functions. Delve into Nash's Proof, unveiling the Nash equilibrium in game theory. Discover visualizations and constructio

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Understanding Scalability and Algorithmic Complexity in Data Management for Data Science

This lecture delves into the concept of scalability in data management for data science, covering operational and algorithmic aspects. It discusses the importance of efficient resource utilization, scaling out to multiple computing nodes, and managing algorithmic complexity for optimal performance i

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Proposal for Directive to Enhance Working Conditions in Platform Work

The proposal aims to address challenges in platform work, including employment status classification and algorithmic management issues. It seeks to improve transparency, fairness, and accountability in algorithmic decision-making, correctly determine employment status, enhance transparency in platfo

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Solving N-Queens and Missionaries & Cannibals Problems Using Search Algorithms

Explore the application of search algorithms in solving classic problems like the N-Queens problem and the Missionaries & Cannibals dilemma. Understand the concept of states, start states, goals, transitions, and goal states in these puzzles. Dive into the strategies of adding states to a to-visit l

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Understanding Debugging in High-Level Languages

Debugging in high-level languages involves examining and setting values in memory, executing portions of the program, and stopping execution as needed. Different types of errors – syntactic, semantic, and algorithmic – require specific debugging approaches. Syntactic errors are related to code l

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Algorithmic Game Theory Learning in Games by Viliam Lis

The content discusses the concept of algorithmic game theory learning in games, covering topics such as online learning, prediction, best response dynamics, and convergence to Nash equilibrium. It explores how simple learning agents achieve equilibrium outcomes and the application of algorithms in v

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Algorithmic Discrimination in Health Care: Protecting Vulnerable Patients

Elizabeth Pendo and Jennifer D. Oliva discuss disability discrimination in health care algorithms, advocating for legal protections under Section 504, ADA, and ACA. Their article proposes strategies to combat algorithmic bias and enhance antidiscrimination efforts in the 2024 Section 1557 final rule

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Advanced Techniques in Exact Algorithms for NP-Hard Problems

Explore the realm of exact algorithms for NP-hard problems, delving into complexities, hypotheses, and state-of-the-art advancements like ETH and savings in runtime. Uncover the need for precise solutions in challenging scenarios and the quest for optimal time bounds in algorithmic research.

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Navigating Tradeoffs in Algorithmic Recourse: A Probabilistic Approach

This paper introduces PROBE, a Probabilistically Robust Recourse framework allowing users to balance cost and robustness in algorithmic recourse. Users can choose the recourse invalidation rate, enabling more tailored and efficient recourse management compared to existing methods. PROBE enhances cos

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Theory of Computation: Decidability and Encoding in CSE 105 Class

Explore the concepts of decidability, encoding, and computational problems in CSE 105 Theory of Computation class. Learn about decision problems, encodings for Turing Machines, framing problems as languages of strings, and examples of computational problems and their encodings. Gain insights into th

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Understanding Myerson's Lemma in Algorithmic Game Theory

Myerson's Lemma is a fundamental concept in algorithmic game theory, particularly in the context of Sponsored Search Auctions. This lecture delves into the application of Myerson's Lemma to ensure truthful bidding as a dominant strategy, maximize social welfare, and maintain polynomial running time

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Insights into NP-Hard Problems in Molecular Biology and Genetics

Understanding the complexity of NP-Hard Problems arising in molecular biology and genetics is crucial. These problems involve genome sequencing, global alignment of multiple genomes, identifying relations through genome comparison, discovering dysregulated pathways in human diseases, and finding spe

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Understanding P, NP, NP-Hard, NP-Complete Problems and Amortized Analysis

This comprehensive study covers P, NP, NP-Hard, NP-Complete Problems, and Amortized Analysis, including examples and concepts like Reduction, Vertex Cover, Max-Clique, 3-SAT, and Hamiltonian Cycle. It delves into Polynomial versus Non-Polynomial problems, outlining the difficulties and unsolvability

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Understanding Algorithmic Complexity Measures and the Master Method

In this study, we explore key concepts in algorithmic complexity, including recurrences, matrix multiplication, merge sort, and tableau construction. We delve into the Master Method for solving recurrences, examining Cases 1, 2, and 3, and providing solutions for each scenario. Additionally, we disc

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Algorithmic Game Theory Lecture on Prophet Inequality and Auction Design

In this lecture on Algorithmic Game Theory, Mingfei Zhao discusses the Prophet Inequality and its application to single-item auctions. The lecture covers the concept of Prophet Inequality, strategies to guarantee expected payoffs, and different auction designs such as the Bulow-Klemperer Theorem and

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Evolution of Algorithmic Game Theory in Computer Science

The evolution of Algorithmic Game Theory (AGT) in the realm of Computer Science showcases the intersection of economics and theoretical computation. Before 1995, notable researchers like von Neumann and Megiddo laid the foundation for AGT. Concepts such as computation as a game, bounded rationality,

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Exploring Algorithmic Composition Techniques in Music Generation

Algorithmic composition involves the use of algorithms to create music, mimicking human composers by generating music based on specific rules and structures. This presentation delves into various approaches such as DeepBach, MuseGAN, and EMI, highlighting the use of evolutionary algorithms, machine

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Understanding Pattern Recognition in Computational Thinking

Pattern recognition in computational thinking involves identifying common elements, interpreting differences, and predicting based on patterns. It helps simplify complex problems by recognizing similarities and characteristics shared among them. Through repetition and algorithmic processes, patterns

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Understanding Algorithms: A Comprehensive Overview

Delve into the world of algorithms with a focus on design principles, properties, and key concepts such as input specification, correctness, and termination. Explore the importance of algorithmic efficiency and discover the essential steps involved in solving various problems using algorithms. Gain

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Dynamic Programming in Various Algorithms

Jeremy Lin has invented a time machine that predicts $GME stock prices for upcoming days. The challenge is to determine the best trading strategy given the price predictions and constraints on the number of trades allowed. Alongside, there are announcements related to academic activities like homewo

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