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probability

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Model Perspective
Model Perspective
Jun 15, 2025 · Fundamentals

How Does Statistical Thinking Differ from Mathematical Thinking? A Deep Dive

This article explores how mathematical and statistical thinking differ in their starting points, research objects, problem formulation, reasoning methods, and attitudes toward uncertainty, highlighting that mathematics emphasizes formal deduction while statistics focuses on probabilistic inference and decision‑making under uncertainty.

data analysismathematical thinkingprobability
0 likes · 7 min read
How Does Statistical Thinking Differ from Mathematical Thinking? A Deep Dive
Java Tech Enthusiast
Java Tech Enthusiast
May 27, 2025 · Fundamentals

Maximum Probability Path (LeetCode 1514) – Problem Analysis and Java/C++ Solutions

This article presents the LeetCode 1514 'Maximum Probability Path' problem, explains the algorithm using a priority‑queue approach, provides full Java and C++ implementations, and concludes with a promotional book giveaway encouraging readers to follow the public account.

C++DijkstraJava
0 likes · 8 min read
Maximum Probability Path (LeetCode 1514) – Problem Analysis and Java/C++ Solutions
IT Services Circle
IT Services Circle
May 21, 2025 · Fundamentals

Maximum Probability Path (LeetCode 1514) – Problem Description and Java/C++ Solutions

This article presents LeetCode problem 1514, which asks for the path with the highest success probability in an undirected weighted graph, explains the problem statement, constraints, and provides detailed Java and C++ implementations using a priority‑queue based Dijkstra‑like algorithm.

C++DijkstraJava
0 likes · 7 min read
Maximum Probability Path (LeetCode 1514) – Problem Description and Java/C++ Solutions
Model Perspective
Model Perspective
May 5, 2025 · Fundamentals

How Likely Is It to Land a High‑Pay, Low‑Stress Job Near Home? A Probabilistic Analysis

This article models the chance of finding a job that simultaneously offers a high salary, light workload, and proximity to one’s hometown, using conditional probability and real‑world data to show why such an ideal position is extremely rare and how relaxing requirements dramatically improves the odds.

career planningconditional probabilityjob market
0 likes · 7 min read
How Likely Is It to Land a High‑Pay, Low‑Stress Job Near Home? A Probabilistic Analysis
Model Perspective
Model Perspective
Mar 8, 2025 · Fundamentals

How Math Thinking Outsmarts Intuition: Puzzles, Probability & Fermi Estimation

This article explores how mathematical thinking—through concrete puzzles, probability paradoxes, and the Fermi estimation method—helps us overcome intuitive traps, make rigorous calculations, and apply logical reasoning to everyday problems and complex estimations.

estimationintuitionlogic
0 likes · 11 min read
How Math Thinking Outsmarts Intuition: Puzzles, Probability & Fermi Estimation
Model Perspective
Model Perspective
Dec 14, 2024 · Game Development

How Mathematical Modeling Balances Game Numbers: From Heroes to Economy

This article examines how mathematical models can be applied to game numeric systems—covering balance, growth curves, probability mechanisms, and economic modeling—using concrete examples from popular titles such as League of Legends, Minecraft, Diablo III, Genshin Impact, and Animal Crossing.

balanceeconomygame design
0 likes · 9 min read
How Mathematical Modeling Balances Game Numbers: From Heroes to Economy
Model Perspective
Model Perspective
Dec 2, 2024 · Fundamentals

What Is the Beta Distribution and Why It Matters in A/B Testing?

The Beta distribution is a flexible probability model defined on the interval [0,1] with two shape parameters that control its form, offering useful properties such as mean and variance, and is widely applied in A/B testing, risk assessment, and machine‑learning tasks to model proportions and uncertainties.

A/B testingbeta distributionmachine learning
0 likes · 5 min read
What Is the Beta Distribution and Why It Matters in A/B Testing?
Model Perspective
Model Perspective
Oct 12, 2024 · Artificial Intelligence

From Deductive to Plausible Reasoning: How Bayesian Logic Shapes Everyday Decisions

Unlike strict deductive logic, plausible reasoning—grounded in evidence, experience, and probability—offers a practical way to draw conclusions under uncertainty, with applications ranging from medical diagnosis to daily choices and forming the mathematical basis of Bayesian inference that underpins modern AI systems.

Artificial IntelligenceBayesian inferencedecision making
0 likes · 7 min read
From Deductive to Plausible Reasoning: How Bayesian Logic Shapes Everyday Decisions
Tencent Cloud Developer
Tencent Cloud Developer
Aug 8, 2024 · Fundamentals

Recommended Classic Computer Science Books for Software Engineers

Tencent engineers recommend nine classic computer‑science books—ranging from Hamming’s The Art of Doing Science and Engineering to Kleppmann’s Designing Data‑Intensive Applications and Bryant & O’Hallaron’s Computer Systems: A Programmer’s Perspective—to help software engineers deepen theory, improve practice, and gain fresh insights, with a giveaway for commenters.

Book RecommendationsComputer Sciencedata-intensive
0 likes · 14 min read
Recommended Classic Computer Science Books for Software Engineers
Model Perspective
Model Perspective
Aug 3, 2024 · Fundamentals

Why Skewness Makes Statistics Delightful: Visual Guides & Real‑World Problems

This article explores the charm of statistics by explaining skewness with clear diagrams, sharing memorable mnemonics, reviewing a top‑rated textbook, presenting diverse real‑world case studies, and solving probability problems about adult male hip widths using normal distribution and the central limit theorem.

central limit theoremdata visualizationprobability
0 likes · 8 min read
Why Skewness Makes Statistics Delightful: Visual Guides & Real‑World Problems
Tencent Cloud Developer
Tencent Cloud Developer
Jul 4, 2024 · Artificial Intelligence

Football Match Outcome Prediction and Betting Strategy Using Machine Learning

The study combines team statistics and bookmaker odds with machine‑learning models—including Poisson, regression, Bayesian, SVM, Random Forest, DNN, and LSTM—to predict football match outcomes, identify confidence‑based betting intervals that yield profit, and suggests extensions to broader data, features, and financial trading.

Data MiningSVMfootball prediction
0 likes · 23 min read
Football Match Outcome Prediction and Betting Strategy Using Machine Learning
Model Perspective
Model Perspective
Apr 22, 2024 · Game Development

Can Stopping After Two Losses Boost Your Honor of Kings Rank? A Math Model

This article builds a mathematical model and runs simulations to evaluate how different stop‑after‑loss strategies affect daily star growth in Honor of Kings, considering a decreasing win‑rate, daily game limits, and varying initial win probabilities, revealing that stopping after two consecutive defeats often yields the highest rank increase.

Honor of Kingsgame strategymathematical modeling
0 likes · 9 min read
Can Stopping After Two Losses Boost Your Honor of Kings Rank? A Math Model
Model Perspective
Model Perspective
Apr 12, 2024 · Fundamentals

Can Bayesian Reasoning Predict Your Chance of Spotting Sea Turtles in Phuket?

The author recounts a Phuket trip to see sea turtles and demonstrates how Bayesian updating, using prior guide data and new evidence such as season and weather, can estimate the probability of spotting turtles, illustrating the method with a concrete example.

Marine BiologyTravelbayesian
0 likes · 5 min read
Can Bayesian Reasoning Predict Your Chance of Spotting Sea Turtles in Phuket?
Python Programming Learning Circle
Python Programming Learning Circle
Mar 27, 2024 · Fundamentals

Common Probability Distributions and Their Visualization with Python

This article explains the fundamentals of several common probability distributions—including uniform, normal, log‑normal, Poisson, exponential, binomial, Student's t, and chi‑squared—and provides complete Python code to generate and plot each distribution for data‑science and machine‑learning applications.

data-sciencedistributionprobability
0 likes · 12 min read
Common Probability Distributions and Their Visualization with Python
Java Tech Enthusiast
Java Tech Enthusiast
Feb 1, 2024 · Fundamentals

Understanding Bloom Filters: Theory, Implementation, and Applications

Bloom filters are space‑efficient probabilistic structures that test set membership using multiple hash functions, offering fast, low‑memory checks with a controllable false‑positive rate, and can be implemented manually in Java, via Guava’s library, or deployed at scale with RedisBloom for distributed applications.

Bloom FilterData StructureGuava
0 likes · 14 min read
Understanding Bloom Filters: Theory, Implementation, and Applications
Model Perspective
Model Perspective
Jan 27, 2024 · Fundamentals

How Bayesian Thinking Turns Life’s Uncertainty into Growth

This article explains how adopting probability and Bayesian thinking helps you objectively assess uncertainty, continuously update beliefs, and transform setbacks into learning opportunities across studies, career, and everyday decisions.

bayesian thinkingdecision makingpersonal growth
0 likes · 6 min read
How Bayesian Thinking Turns Life’s Uncertainty into Growth
Rare Earth Juejin Tech Community
Rare Earth Juejin Tech Community
Dec 3, 2023 · Artificial Intelligence

Probability Basics, Discriminative vs Generative Models, and Autoencoders (including Variational Autoencoders)

This article introduces fundamental probability notation, explains the difference between discriminative and generative models, and provides a comprehensive overview of autoencoders and variational autoencoders, covering their architectures, loss functions, latent spaces, and practical applications in image manipulation.

autoencodersdiscriminative modelsgenerative models
0 likes · 17 min read
Probability Basics, Discriminative vs Generative Models, and Autoencoders (including Variational Autoencoders)
Model Perspective
Model Perspective
Dec 2, 2023 · Fundamentals

10 Inspirational Quotes Translated into Math: What Do They Really Mean?

This article explores ten well‑known motivational sayings by expressing each with a mathematical formula—ranging from probability and integrals to logistic and exponential functions—offering a fresh, analytical perspective on how effort, success, knowledge, and happiness can be quantified.

analysisintegrallogistic function
0 likes · 6 min read
10 Inspirational Quotes Translated into Math: What Do They Really Mean?
Model Perspective
Model Perspective
Nov 27, 2023 · Fundamentals

Mastering Decision-Making: How Bayesian Thinking Transforms Uncertainty

Bayesian thinking offers a powerful framework for updating beliefs by combining prior knowledge with new evidence, enabling more precise probability estimates and better decisions in uncertain, rapidly changing environments, illustrated through everyday examples like weather forecasts and cooking, and extending to fields such as medical diagnosis.

bayesiandecision makinglearning
0 likes · 9 min read
Mastering Decision-Making: How Bayesian Thinking Transforms Uncertainty
Model Perspective
Model Perspective
Nov 3, 2023 · Fundamentals

Why Exponential & Weibull Distributions Matter: Key Concepts and Applications

This article introduces the exponential and Weibull distributions, explains their probability density and cumulative functions, highlights key properties such as the memoryless nature of the exponential and the flexibility of Weibull, and demonstrates practical calculations for reliability and survival analysis scenarios.

exponential distributionprobabilityreliability
0 likes · 6 min read
Why Exponential & Weibull Distributions Matter: Key Concepts and Applications