Mathematical

The unique, mathematical shortcuts language models use to predict dynamic scenarios

Let’s say you’re reading a story, or playing a game of chess....

DeepSeek-Prover-V2: Bridging the Gap Between Informal and Formal Mathematical Reasoning

While DeepSeek-R1 has significantly advanced AI’s capabilities in informal reasoning, formal mathematical reasoning has remained a difficult task for AI. That is primarily because producing verifiable mathematical proof requires each deep conceptual understanding and...

AI on the International Mathematical Olympiad: How AlphaProof and AlphaGeometry 2 Achieved Silver-Medal Standard

Mathematical reasoning is a crucial aspect of human cognitive abilities, driving progress in scientific discoveries and technological developments. As we try to develop artificial general intelligence that matches human cognition, equipping AI with advanced...

Google Unveils Mathematical Inference Expert Model… “A Significant Advance for AGI”

Google has unveiled a man-made intelligence (AI) model specializing in mathematical reasoning. It emphasized that this can be a significant advance in processing mathematics, which requires higher reasoning ability than language, and that it...

Introduction to Mathematical Optimisation in Python

Data Science FundamentalsBeginner’s practical guide to discrete optimisation in PythonData Scientists tackle a big selection of real-life problems using data and various techniques. Mathematical optimisation, a robust technique that could be applied to a...

Unveiling the Power of Principal Component Evaluation (PCA): A Mathematical Journey INTRODUCTION BASIC CONCEPT OF PCA: PERFORMING PCA STEP BY STEP: SAMPLE CODE FOR PCA ON IRIS DATASET: CONCLUSION:

NOTE: I'm going to clarify reconstruction process intimately in another blog.# Adapted from source: https://towardsdatascience.com/pca-using-python-scikit-learn-e653f8989e60# Accessed 2019-01-12.# Do PCA on iris dataset and plot# ---------------------------------------------------------------------import pandas as pd import numpy as npimport matplotlib.pyplot as...

Improving Mathematical Reasoning with Process Supervision

We have trained a model to realize a recent state-of-the-art in mathematical problem solving by rewarding each correct step of reasoning (“process supervision”) as a substitute of simply rewarding the right final answer (“end...

Linear Regression without iteration (Mathematical Intuition)

Let’s understand the issue statement before diving into the actual conceptEach regression problem is given X and Y values, and after training with a specific algorithm, it predicts the Y(i) based on the X(i)....

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