Expired60% confidenceFactExact time
The composition of multiple linear transformations is still a linear transformation; therefore, a multi-layer network without nonlinear activation functions has expressive power equivalent to a single-layer linear model.
2
Sources
60%
Confidence
Medium-term (~90 days)
Relevance
7/2/2026
First Seen
This claim has expired. It is kept for the record and no longer describes the current state.
Valid until: 9/30/2026(expired)
Sources
Related Claims
UnverifiedIf all layers perform only linear transformations, the overall effect of the network is equivalent to a single-layer linear model regardless of how many layers it has.76% similarUnverified激活函数赋予深度网络拟合任意复杂非线性函数的理论能力，若无激活函数网络本质上仍是线性变换73% similarUnverified激活函数是套在线性函数最外层的非线性运算，作用是把线性关系变成表达能力更强的非线性关系66% similarUnverifiedThe mathematical form of linear programming is the maximization or minimization of a linear objective function subject to a set of linear inequality constraints.65% similarUnverified旋转变换量化的理论基础是正交矩阵不改变模型数学等价性但能重新分布数值统计特性，用于搅匀离群值63% similar
Cite This Claim
Stable URI
https://kongchang.com/claim/49102API
curl https://kongchang.com/api/v1/knowledge/claims/49102MCP
get_claim(id=49102)